%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP232_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n012.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 17:13:09 EDT 2024

% Result   : Theorem 18.93s 19.16s
% Output   : Proof 19.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 5.59/5.62  % Problem    : ITP232_1 : TPTP v8.2.0. Released v8.0.0.
% 5.59/5.63  % Command    : do_cvc5 %s %d
% 5.64/5.85  % Computer : n012.cluster.edu
% 5.64/5.85  % Model    : x86_64 x86_64
% 5.64/5.85  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 5.64/5.85  % Memory   : 8042.1875MB
% 5.64/5.85  % OS       : Linux 3.10.0-693.el7.x86_64
% 5.64/5.85  % CPULimit   : 300
% 5.64/5.85  % WCLimit    : 300
% 5.64/5.85  % DateTime   : Sun May 26 02:59:59 EDT 2024
% 5.64/5.85  % CPUTime    : 
% 12.07/12.25  %----Proving TF0_NAR, FOF, or CNF
% 18.93/19.16  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 18.93/19.16  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.uVAh63lk9A/cvc5---1.0.5_22598.smt2
% 18.93/19.16  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.uVAh63lk9A/cvc5---1.0.5_22598.smt2
% 18.93/19.16  (assume a0 (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))))))
% 18.93/19.16  (assume a1 (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na))))))
% 18.93/19.16  (assume a2 (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (= (tptp.vEBT_vebt_insert tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)) tptp.summary)))
% 18.93/19.16  (assume a3 (= tptp.na tptp.m))
% 18.93/19.16  (assume a4 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na))) (tptp.vEBT_vebt_insert tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na))) tptp.summary)) tptp.na)))
% 18.93/19.16  (assume a5 (=> (= tptp.mi tptp.ma) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (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 X) X_12))))))))
% 18.93/19.16  (assume a6 (forall ((N tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren N TreeList) X2)) (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 X2) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N))))))
% 18.93/19.16  (assume a7 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.ma)))
% 18.93/19.16  (assume a8 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) tptp.na)))))
% 18.93/19.16  (assume a9 (and (not (= tptp.xa tptp.mi)) (not (= tptp.xa tptp.ma))))
% 18.93/19.16  (assume a10 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.mi) tptp.na)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) tptp.na)))))
% 18.93/19.16  (assume a11 (forall ((X2 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 X2) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) D)) D) X2)))
% 18.93/19.16  (assume a12 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.xa) tptp.mi)))
% 18.93/19.16  (assume a13 (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)))
% 18.93/19.16  (assume a14 (forall ((T tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X2)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member T) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima T) X2))))))
% 18.93/19.16  (assume a15 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt tptp.summary) tptp.m)))
% 18.93/19.16  (assume a16 (forall ((I tptp.nat) (J tptp.nat) (Xs tptp.list_nat) (X2 tptp.nat)) (=> (not (= I J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X2)) J) (tptp.aa_nat_nat (tptp.nth_nat Xs) J)))))
% 18.93/19.16  (assume a17 (forall ((I tptp.nat) (J tptp.nat) (Xs tptp.list_int) (X2 tptp.int)) (=> (not (= I J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X2)) J) (tptp.aa_nat_int (tptp.nth_int Xs) J)))))
% 18.93/19.16  (assume a18 (forall ((I tptp.nat) (J tptp.nat) (Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (=> (not (= I J)) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) J) (tptp.nth_VEBT_VEBT Xs J)))))
% 18.93/19.16  (assume a19 (forall ((Xs tptp.list_nat) (I tptp.nat)) (= (tptp.list_update_nat Xs I (tptp.aa_nat_nat (tptp.nth_nat Xs) I)) Xs)))
% 18.93/19.16  (assume a20 (forall ((Xs tptp.list_int) (I tptp.nat)) (= (tptp.list_update_int Xs I (tptp.aa_nat_int (tptp.nth_int Xs) I)) Xs)))
% 18.93/19.16  (assume a21 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat)) (= (tptp.list_u1324408373059187874T_VEBT Xs I (tptp.nth_VEBT_VEBT Xs I)) Xs)))
% 18.93/19.16  (assume a22 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Tree) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member Tree) X2)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member Tree) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima Tree) X2)))))))
% 18.93/19.16  (assume a23 (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)))))
% 18.93/19.16  (assume a24 (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)))))
% 18.93/19.16  (assume a25 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 18.93/19.16  (assume a26 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 18.93/19.16  (assume a27 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 18.93/19.16  (assume a28 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 18.93/19.16  (assume a29 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 18.93/19.16  (assume a30 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 18.93/19.16  (assume a31 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 18.93/19.16  (assume a32 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 18.93/19.16  (assume a33 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 18.93/19.16  (assume a34 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 18.93/19.16  (assume a35 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 18.93/19.16  (assume a36 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 18.93/19.16  (assume a37 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 18.93/19.16  (assume a38 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 18.93/19.16  (assume a39 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 18.93/19.16  (assume a40 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 18.93/19.16  (assume a41 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T) X2))))))
% 18.93/19.16  (assume a42 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T) X2))))))
% 18.93/19.16  (assume a43 (forall ((N tptp.nat) (X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.vEBT_vebt_buildup N)) X2)))))
% 18.93/19.16  (assume a44 (forall ((T tptp.vEBT_VEBT) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T) X2))))))
% 18.93/19.16  (assume a45 (forall ((N tptp.nat) (X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.vEBT_vebt_buildup N)) X2)))))
% 18.93/19.16  (assume a46 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B C))))
% 18.93/19.16  (assume a47 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (= B C))))
% 18.93/19.16  (assume a48 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B C))))
% 18.93/19.16  (assume a49 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 18.93/19.16  (assume a50 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B C))))
% 18.93/19.16  (assume a51 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (= B C))))
% 18.93/19.16  (assume a52 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B C))))
% 18.93/19.16  (assume a53 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 18.93/19.16  (assume a54 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X2 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) I Y) (tptp.list_u1324408373059187874T_VEBT Xs I Y))))
% 18.93/19.16  (assume a55 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T) X2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.vEBT_set_vebt T)))))))
% 18.93/19.16  (assume a56 (forall ((Xs tptp.list_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.set_set_nat2 Xs)) B2)) (forall ((X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) (tptp.set_set_nat2 Xs))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) B2)))))))
% 18.93/19.16  (assume a57 (forall ((Xs tptp.list_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Xs)) B2)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B2)))))))
% 18.93/19.16  (assume a58 (forall ((Xs tptp.list_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs)) B2)) (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_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) B2)))))))
% 18.93/19.16  (assume a59 (forall ((Xs tptp.list_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) B2)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B2)))))))
% 18.93/19.16  (assume a60 (forall ((Xs tptp.list_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Xs)) B2)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B2)))))))
% 18.93/19.16  (assume a61 (forall ((Xs tptp.list_set_nat) (A2 tptp.set_set_nat) (X2 tptp.set_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.set_set_nat2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.set_set_nat2 (tptp.list_update_set_nat Xs I X2))) A2))))))
% 18.93/19.16  (assume a62 (forall ((Xs tptp.list_real) (A2 tptp.set_real) (X2 tptp.real) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 (tptp.list_update_real Xs I X2))) A2))))))
% 18.93/19.16  (assume a63 (forall ((Xs tptp.list_nat) (A2 tptp.set_nat) (X2 tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I X2))) A2))))))
% 18.93/19.16  (assume a64 (forall ((Xs tptp.list_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I X2))) A2))))))
% 18.93/19.16  (assume a65 (forall ((Xs tptp.list_int) (A2 tptp.set_int) (X2 tptp.int) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I X2))) A2))))))
% 18.93/19.16  (assume a66 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B C))))
% 18.93/19.16  (assume a67 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (= B C))))
% 18.93/19.16  (assume a68 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B C))))
% 18.93/19.16  (assume a69 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 18.93/19.16  (assume a70 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B C))))
% 18.93/19.16  (assume a71 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (= B C))))
% 18.93/19.16  (assume a72 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B C))))
% 18.93/19.16  (assume a73 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 18.93/19.16  (assume a74 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) (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 B) C)))))
% 18.93/19.16  (assume a75 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)))))
% 18.93/19.16  (assume a76 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (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 B) C)))))
% 18.93/19.16  (assume a77 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (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 B) C)))))
% 18.93/19.16  (assume a78 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A))))
% 18.93/19.16  (assume a79 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat B) A))))
% 18.93/19.16  (assume a80 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A))))
% 18.93/19.16  (assume a81 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A))))
% 18.93/19.16  (assume a82 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B C))))
% 18.93/19.16  (assume a83 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (= B C))))
% 18.93/19.16  (assume a84 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 18.93/19.16  (assume a85 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B C))))
% 18.93/19.16  (assume a86 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (= B C))))
% 18.93/19.16  (assume a87 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 18.93/19.16  (assume a88 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a89 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)))))
% 18.93/19.16  (assume a90 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a91 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a92 (forall ((A tptp.vEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.collect_VEBT_VEBT P))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P A)))))
% 18.93/19.16  (assume a93 (forall ((A tptp.real) (P tptp.fun_real_bool)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.collect_real P))) (tptp.pp (tptp.aa_real_bool P A)))))
% 18.93/19.16  (assume a94 (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)))))
% 18.93/19.16  (assume a95 (forall ((A tptp.set_nat) (P tptp.fun_set_nat_bool)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.collect_set_nat P))) (tptp.pp (tptp.aa_set_nat_bool P A)))))
% 18.93/19.16  (assume a96 (forall ((A tptp.nat) (P tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.collect_nat P))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 18.93/19.16  (assume a97 (forall ((A tptp.int) (P tptp.fun_int_bool)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.collect_int P))) (tptp.pp (tptp.aa_int_bool P A)))))
% 18.93/19.16  (assume a98 (forall ((A2 tptp.set_VEBT_VEBT)) (= (tptp.collect_VEBT_VEBT (tptp.aTP_Lamm_a A2)) A2)))
% 18.93/19.16  (assume a99 (forall ((A2 tptp.set_real)) (= (tptp.collect_real (tptp.aTP_Lamm_aa A2)) A2)))
% 18.93/19.16  (assume a100 (forall ((A2 tptp.set_list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_ab A2)) A2)))
% 18.93/19.16  (assume a101 (forall ((A2 tptp.set_set_nat)) (= (tptp.collect_set_nat (tptp.aTP_Lamm_ac A2)) A2)))
% 18.93/19.16  (assume a102 (forall ((A2 tptp.set_nat)) (= (tptp.collect_nat (tptp.aTP_Lamm_ad A2)) A2)))
% 18.93/19.16  (assume a103 (forall ((A2 tptp.set_int)) (= (tptp.collect_int (tptp.aTP_Lamm_ae A2)) A2)))
% 18.93/19.16  (assume a104 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (=> (forall ((X4 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4)))) (= (tptp.collect_real P) (tptp.collect_real Q)))))
% 18.93/19.16  (assume a105 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (forall ((X4 tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool P X4)) (tptp.pp (tptp.aa_list_nat_bool Q X4)))) (= (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 18.93/19.16  (assume a106 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (forall ((X4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool P X4)) (tptp.pp (tptp.aa_set_nat_bool Q X4)))) (= (tptp.collect_set_nat P) (tptp.collect_set_nat Q)))))
% 18.93/19.16  (assume a107 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (forall ((X4 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4)))) (= (tptp.collect_nat P) (tptp.collect_nat Q)))))
% 18.93/19.16  (assume a108 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X4 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4)))) (= (tptp.collect_int P) (tptp.collect_int Q)))))
% 18.93/19.16  (assume a109 (forall ((B2 tptp.real) (K tptp.real) (B tptp.real) (A tptp.real)) (=> (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) B)) (= (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 K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B))))))
% 18.93/19.16  (assume a110 (forall ((B2 tptp.rat) (K tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= B2 (tptp.aa_rat_rat (tptp.plus_plus_rat K) B)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B2) (tptp.aa_rat_rat (tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B))))))
% 18.93/19.16  (assume a111 (forall ((B2 tptp.nat) (K tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) B)) (= (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 K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))))))
% 18.93/19.16  (assume a112 (forall ((B2 tptp.int) (K tptp.int) (B tptp.int) (A tptp.int)) (=> (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) B)) (= (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 K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))))
% 18.93/19.16  (assume a113 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real) (B tptp.real)) (=> (= A2 (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 A2) B) (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) B))))))
% 18.93/19.16  (assume a114 (forall ((A2 tptp.rat) (K tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (= A2 (tptp.aa_rat_rat (tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A2) B) (tptp.aa_rat_rat (tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B))))))
% 18.93/19.16  (assume a115 (forall ((A2 tptp.nat) (K tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (= A2 (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 A2) B) (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) B))))))
% 18.93/19.16  (assume a116 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int) (B tptp.int)) (=> (= A2 (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 A2) B) (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) B))))))
% 18.93/19.16  (assume a117 (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)))))
% 18.93/19.16  (assume a118 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (= I J) (= K L)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat I) K) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L)))))
% 18.93/19.16  (assume a119 (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)))))
% 18.93/19.16  (assume a120 (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)))))
% 18.93/19.16  (assume a121 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a122 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)))))
% 18.93/19.16  (assume a123 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a124 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a125 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a126 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool P N2))) (exists ((M2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N2)) (not (tptp.pp (tptp.aa_nat_bool P M2))))))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 18.93/19.16  (assume a127 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N2)) (tptp.pp (tptp.aa_nat_bool P M2)))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 18.93/19.16  (assume a128 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 18.93/19.16  (assume a129 (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)))))
% 18.93/19.16  (assume a130 (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)))))
% 18.93/19.16  (assume a131 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 18.93/19.16  (assume a132 (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))))))
% 18.93/19.16  (assume a133 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) B)))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P X4)) (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) X4))))))))))
% 18.93/19.16  (assume a134 (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)))))
% 18.93/19.16  (assume a135 (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)))))
% 18.93/19.16  (assume a136 (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)))))
% 18.93/19.16  (assume a137 (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))))))
% 18.93/19.16  (assume a138 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N))))
% 18.93/19.16  (assume a139 (forall ((I tptp.nat) (I2 tptp.nat) (Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (X5 tptp.vEBT_VEBT)) (=> (not (= I I2)) (= (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) I2 X5) (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X5) I X2)))))
% 18.93/19.16  (assume a140 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 18.93/19.16  (assume a141 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 18.93/19.16  (assume a142 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 18.93/19.16  (assume a143 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 18.93/19.16  (assume a144 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 18.93/19.16  (assume a145 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 18.93/19.16  (assume a146 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 18.93/19.16  (assume a147 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 18.93/19.16  (assume a148 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (exists ((C2 tptp.nat)) (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C2))))))
% 18.93/19.16  (assume a149 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (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 B) C))))))
% 18.93/19.16  (assume a150 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))))))
% 18.93/19.16  (assume a151 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (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 B) C))))))
% 18.93/19.16  (assume a152 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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 B) C))))))
% 18.93/19.16  (assume a153 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (forall ((C3 tptp.nat)) (not (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C3))))))))
% 18.93/19.16  (assume a154 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (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) B))))))
% 18.93/19.16  (assume a155 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))))))
% 18.93/19.16  (assume a156 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (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) B))))))
% 18.93/19.16  (assume a157 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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) B))))))
% 18.93/19.16  (assume a158 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a159 (forall ((A tptp.rat) (B 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) B)) (=> (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.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) D)))))))
% 18.93/19.16  (assume a160 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a161 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a162 (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))))))
% 18.93/19.16  (assume a163 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a164 (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))))))
% 18.93/19.16  (assume a165 (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))))))
% 18.93/19.16  (assume a166 (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))))))
% 18.93/19.16  (assume a167 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a168 (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))))))
% 18.93/19.16  (assume a169 (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))))))
% 18.93/19.16  (assume a170 (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))))))
% 18.93/19.16  (assume a171 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a172 (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))))))
% 18.93/19.16  (assume a173 (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))))))
% 18.93/19.16  (assume a174 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 18.93/19.16  (assume a175 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 18.93/19.16  (assume a176 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 18.93/19.16  (assume a177 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 18.93/19.16  (assume a178 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 18.93/19.16  (assume a179 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 18.93/19.16  (assume a180 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 18.93/19.16  (assume a181 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 18.93/19.16  (assume a182 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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 B) C))))))
% 18.93/19.16  (assume a183 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))))))
% 18.93/19.16  (assume a184 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (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 B) C))))))
% 18.93/19.16  (assume a185 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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 B) C))))))
% 18.93/19.16  (assume a186 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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) B))))))
% 18.93/19.16  (assume a187 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))))))
% 18.93/19.16  (assume a188 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (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) B))))))
% 18.93/19.16  (assume a189 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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) B))))))
% 18.93/19.16  (assume a190 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a191 (forall ((A tptp.rat) (B 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) B)) (=> (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.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) D)))))))
% 18.93/19.16  (assume a192 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a193 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a194 (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))))))
% 18.93/19.16  (assume a195 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a196 (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))))))
% 18.93/19.16  (assume a197 (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))))))
% 18.93/19.16  (assume a198 (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))))))
% 18.93/19.16  (assume a199 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a200 (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))))))
% 18.93/19.16  (assume a201 (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))))))
% 18.93/19.16  (assume a202 (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))))))
% 18.93/19.16  (assume a203 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a204 (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))))))
% 18.93/19.16  (assume a205 (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))))))
% 18.93/19.16  (assume a206 (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)))))))
% 18.93/19.16  (assume a207 (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))))))
% 18.93/19.16  (assume a208 (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)))))
% 18.93/19.16  (assume a209 (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)))))
% 18.93/19.16  (assume a210 (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)))))
% 18.93/19.16  (assume a211 (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))))))
% 18.93/19.16  (assume a212 (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))))))
% 18.93/19.16  (assume a213 (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))))))
% 18.93/19.16  (assume a214 (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))))))
% 18.93/19.16  (assume a215 (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))))))
% 18.93/19.16  (assume a216 (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)))))
% 18.93/19.16  (assume a217 (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)))))
% 18.93/19.16  (assume a218 (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)))))))
% 18.93/19.16  (assume a219 (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)))))
% 18.93/19.16  (assume a220 (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 ((K2 tptp.nat)) (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K2))))))
% 18.93/19.16  (assume a221 (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))))))
% 18.93/19.16  (assume a222 (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))))))
% 18.93/19.16  (assume a223 (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))))))
% 18.93/19.16  (assume a224 (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)))))))
% 18.93/19.16  (assume a225 (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 ((N2 tptp.nat)) (= L (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N2))))))
% 18.93/19.16  (assume a226 (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)))))
% 18.93/19.16  (assume a227 (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)))))
% 18.93/19.16  (assume a228 (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)))))
% 18.93/19.16  (assume a229 (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)))))
% 18.93/19.16  (assume a230 (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))))))))
% 18.93/19.16  (assume a231 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a232 (forall ((A tptp.rat) (B 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) B)) (=> (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.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) D)))))))
% 18.93/19.16  (assume a233 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a234 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a235 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a236 (forall ((A tptp.rat) (B 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) B)) (=> (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.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) D)))))))
% 18.93/19.16  (assume a237 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a238 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.16  (assume a239 (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))))))
% 18.93/19.16  (assume a240 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a241 (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))))))
% 18.93/19.16  (assume a242 (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))))))
% 18.93/19.16  (assume a243 (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))))))
% 18.93/19.16  (assume a244 (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.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat J) L))))))
% 18.93/19.16  (assume a245 (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))))))
% 18.93/19.16  (assume a246 (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))))))
% 18.93/19.16  (assume a247 (forall ((F tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F M3)) (tptp.aa_nat_nat F N2))))) (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)))))))
% 18.93/19.16  (assume a248 (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_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_vebt_buildup N)) N)))))
% 18.93/19.16  (assume a249 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt T)))))
% 18.93/19.16  (assume a250 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) D)))))
% 18.93/19.16  (assume a251 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid T) D)))))
% 18.93/19.16  (assume a252 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) D)))))
% 18.93/19.16  (assume a253 (forall ((A tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) A))))
% 18.93/19.16  (assume a254 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 18.93/19.16  (assume a255 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 18.93/19.16  (assume a256 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 18.93/19.16  (assume a257 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 18.93/19.16  (assume a258 (forall ((X2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) X2))))
% 18.93/19.16  (assume a259 (forall ((X2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) X2))))
% 18.93/19.16  (assume a260 (forall ((X2 tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) X2))))
% 18.93/19.16  (assume a261 (forall ((X2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) X2))))
% 18.93/19.16  (assume a262 (forall ((X2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) X2))))
% 18.93/19.16  (assume a263 (forall ((Xs tptp.list_set_nat) (P tptp.fun_set_nat_bool) (N tptp.nat)) (=> (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) (tptp.set_set_nat2 Xs))) (tptp.pp (tptp.aa_set_nat_bool P X4)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3254054031482475050et_nat Xs))) (tptp.pp (tptp.aa_set_nat_bool P (tptp.nth_set_nat Xs N)))))))
% 18.93/19.16  (assume a264 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (N tptp.nat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_real_bool P X4)))) (=> (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)))))))
% 18.93/19.16  (assume a265 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (N tptp.nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X4)))) (=> (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)))))))
% 18.93/19.16  (assume a266 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (N tptp.nat)) (=> (forall ((X4 tptp.bool)) (=> (tptp.member_bool X4 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X4)))) (=> (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)))))))
% 18.93/19.16  (assume a267 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X4)))) (=> (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)))))))
% 18.93/19.16  (assume a268 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (N tptp.nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X4)))) (=> (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)))))))
% 18.93/19.16  (assume a269 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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)))))
% 18.93/19.16  (assume a270 (forall ((N tptp.nat) (P tptp.fun_nat_bool) (M tptp.nat)) (=> (forall ((K3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K3)) (tptp.pp (tptp.aa_nat_bool P K3)))) (=> (forall ((K3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) I4)) (tptp.pp (tptp.aa_nat_bool P I4)))) (tptp.pp (tptp.aa_nat_bool P K3))))) (tptp.pp (tptp.aa_nat_bool P M))))))
% 18.93/19.16  (assume a271 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a272 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a273 (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))))
% 18.93/19.16  (assume a274 (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))))
% 18.93/19.16  (assume a275 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 18.93/19.16  (assume a276 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 18.93/19.16  (assume a277 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 18.93/19.16  (assume a278 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.16  (assume a279 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 18.93/19.16  (assume a280 (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))))
% 18.93/19.16  (assume a281 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) A)) (= A tptp.zero_zero_rat))))
% 18.93/19.16  (assume a282 (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))))
% 18.93/19.16  (assume a283 (forall ((B tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) A) A) (= B tptp.zero_zero_complex))))
% 18.93/19.16  (assume a284 (forall ((B tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A) A) (= B tptp.zero_zero_real))))
% 18.93/19.16  (assume a285 (forall ((B tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) A) A) (= B tptp.zero_zero_rat))))
% 18.93/19.16  (assume a286 (forall ((B tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) A) (= B tptp.zero_zero_nat))))
% 18.93/19.16  (assume a287 (forall ((B tptp.int) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) A) (= B tptp.zero_zero_int))))
% 18.93/19.16  (assume a288 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) A) (= B tptp.zero_zero_complex))))
% 18.93/19.16  (assume a289 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) A) (= B tptp.zero_zero_real))))
% 18.93/19.16  (assume a290 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) A) (= B tptp.zero_zero_rat))))
% 18.93/19.16  (assume a291 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) A) (= B tptp.zero_zero_nat))))
% 18.93/19.16  (assume a292 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) A) (= B tptp.zero_zero_int))))
% 18.93/19.16  (assume a293 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.plus_plus_complex B) A)) (= B tptp.zero_zero_complex))))
% 18.93/19.16  (assume a294 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A)) (= B tptp.zero_zero_real))))
% 18.93/19.16  (assume a295 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.plus_plus_rat B) A)) (= B tptp.zero_zero_rat))))
% 18.93/19.16  (assume a296 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) (= B tptp.zero_zero_nat))))
% 18.93/19.16  (assume a297 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) (= B tptp.zero_zero_int))))
% 18.93/19.16  (assume a298 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (= B tptp.zero_zero_complex))))
% 18.93/19.16  (assume a299 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (= B tptp.zero_zero_real))))
% 18.93/19.16  (assume a300 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (= B tptp.zero_zero_rat))))
% 18.93/19.16  (assume a301 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (= B tptp.zero_zero_nat))))
% 18.93/19.16  (assume a302 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (= B tptp.zero_zero_int))))
% 18.93/19.16  (assume a303 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) Y) tptp.zero_zero_nat) (and (= X2 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a304 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) Y)) (and (= X2 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a305 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 18.93/19.16  (assume a306 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 18.93/19.16  (assume a307 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 18.93/19.16  (assume a308 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 18.93/19.16  (assume a309 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 18.93/19.16  (assume a310 (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)))))
% 18.93/19.16  (assume a311 (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)))))
% 18.93/19.16  (assume a312 (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)))))
% 18.93/19.16  (assume a313 (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))))
% 18.93/19.16  (assume a314 (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))))
% 18.93/19.16  (assume a315 (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)))))
% 18.93/19.16  (assume a316 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.zero_zero_nat) M)))
% 18.93/19.16  (assume a317 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X2 tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2)) (tptp.size_s6755466524823107622T_VEBT Xs))))
% 18.93/19.16  (assume a318 (forall ((Xs tptp.list_bool) (I tptp.nat) (X2 tptp.bool)) (= (tptp.size_size_list_bool (tptp.list_update_bool Xs I X2)) (tptp.size_size_list_bool Xs))))
% 18.93/19.16  (assume a319 (forall ((Xs tptp.list_nat) (I tptp.nat) (X2 tptp.nat)) (= (tptp.size_size_list_nat (tptp.list_update_nat Xs I X2)) (tptp.size_size_list_nat Xs))))
% 18.93/19.16  (assume a320 (forall ((Xs tptp.list_int) (I tptp.nat) (X2 tptp.int)) (= (tptp.size_size_list_int (tptp.list_update_int Xs I X2)) (tptp.size_size_list_int Xs))))
% 18.93/19.16  (assume a321 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 18.93/19.16  (assume a322 (forall ((B 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.plus_plus_rat B) A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a323 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a324 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 18.93/19.16  (assume a325 (forall ((A tptp.real) (B 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) B)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 18.93/19.16  (assume a326 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a327 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a328 (forall ((A tptp.int) (B 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) B)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 18.93/19.16  (assume a329 (forall ((A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))
% 18.93/19.16  (assume a330 (forall ((A tptp.rat) (B 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.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))
% 18.93/19.16  (assume a331 (forall ((A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)))))
% 18.93/19.16  (assume a332 (forall ((A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))))
% 18.93/19.16  (assume a333 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))
% 18.93/19.16  (assume a334 (forall ((A tptp.rat) (B 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.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))
% 18.93/19.16  (assume a335 (forall ((A tptp.nat) (B 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 B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)))))
% 18.93/19.16  (assume a336 (forall ((A tptp.int) (B 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 B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))))
% 18.93/19.16  (assume a337 (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)))))
% 18.93/19.16  (assume a338 (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.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)))))
% 18.93/19.16  (assume a339 (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)))))
% 18.93/19.16  (assume a340 (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)))))
% 18.93/19.16  (assume a341 (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.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)))))
% 18.93/19.16  (assume a342 (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)))))
% 18.93/19.16  (assume a343 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 18.93/19.16  (assume a344 (forall ((B 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.plus_plus_rat B) A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a345 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a346 (forall ((B 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 B) A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 18.93/19.16  (assume a347 (forall ((A tptp.real) (B 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) B)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 18.93/19.16  (assume a348 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a349 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a350 (forall ((A tptp.int) (B 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) B)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 18.93/19.16  (assume a351 (forall ((A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)))))
% 18.93/19.16  (assume a352 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)))))
% 18.93/19.16  (assume a353 (forall ((A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 18.93/19.16  (assume a354 (forall ((A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)))))
% 18.93/19.16  (assume a355 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)))))
% 18.93/19.16  (assume a356 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)))))
% 18.93/19.16  (assume a357 (forall ((A tptp.nat) (B 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 B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 18.93/19.16  (assume a358 (forall ((A tptp.int) (B 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 B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)))))
% 18.93/19.16  (assume a359 (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)))))
% 18.93/19.16  (assume a360 (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.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)))))
% 18.93/19.16  (assume a361 (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)))))
% 18.93/19.16  (assume a362 (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)))))
% 18.93/19.16  (assume a363 (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.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)))))
% 18.93/19.16  (assume a364 (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)))))
% 18.93/19.16  (assume a365 (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))))))
% 18.93/19.16  (assume a366 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT Xs)) I)) (= (tptp.list_u1324408373059187874T_VEBT Xs I X2) Xs))))
% 18.93/19.16  (assume a367 (forall ((Xs tptp.list_bool) (I tptp.nat) (X2 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_bool Xs)) I)) (= (tptp.list_update_bool Xs I X2) Xs))))
% 18.93/19.16  (assume a368 (forall ((Xs tptp.list_nat) (I tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_nat Xs)) I)) (= (tptp.list_update_nat Xs I X2) Xs))))
% 18.93/19.16  (assume a369 (forall ((Xs tptp.list_int) (I tptp.nat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_int Xs)) I)) (= (tptp.list_update_int Xs I X2) Xs))))
% 18.93/19.16  (assume a370 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) I) X2))))
% 18.93/19.16  (assume a371 (forall ((I tptp.nat) (Xs tptp.list_bool) (X2 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I X2)) I)) (tptp.pp X2)))))
% 18.93/19.16  (assume a372 (forall ((I tptp.nat) (Xs tptp.list_nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X2)) I) X2))))
% 18.93/19.16  (assume a373 (forall ((I tptp.nat) (Xs tptp.list_int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X2)) I) X2))))
% 18.93/19.16  (assume a374 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I (tptp.nth_VEBT_VEBT Xs J)) J (tptp.nth_VEBT_VEBT Xs I))) (tptp.set_VEBT_VEBT2 Xs))))))
% 18.93/19.16  (assume a375 (forall ((I tptp.nat) (Xs tptp.list_bool) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_bool Xs))) (= (tptp.set_bool2 (tptp.list_update_bool (tptp.list_update_bool Xs I (tptp.aa_nat_bool (tptp.nth_bool Xs) J)) J (tptp.aa_nat_bool (tptp.nth_bool Xs) I))) (tptp.set_bool2 Xs))))))
% 18.93/19.16  (assume a376 (forall ((I tptp.nat) (Xs tptp.list_nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_nat Xs))) (= (tptp.set_nat2 (tptp.list_update_nat (tptp.list_update_nat Xs I (tptp.aa_nat_nat (tptp.nth_nat Xs) J)) J (tptp.aa_nat_nat (tptp.nth_nat Xs) I))) (tptp.set_nat2 Xs))))))
% 18.93/19.16  (assume a377 (forall ((I tptp.nat) (Xs tptp.list_int) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_int Xs))) (= (tptp.set_int2 (tptp.list_update_int (tptp.list_update_int Xs I (tptp.aa_nat_int (tptp.nth_int Xs) J)) J (tptp.aa_nat_int (tptp.nth_int Xs) I))) (tptp.set_int2 Xs))))))
% 18.93/19.16  (assume a378 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys))) (not (= Xs Ys)))))
% 18.93/19.16  (assume a379 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys))) (not (= Xs Ys)))))
% 18.93/19.16  (assume a380 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys))) (not (= Xs Ys)))))
% 18.93/19.16  (assume a381 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (=> (not (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys))) (not (= Xs Ys)))))
% 18.93/19.16  (assume a382 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT Xs2) N))))
% 18.93/19.16  (assume a383 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_bool)) (= (tptp.size_size_list_bool Xs2) N))))
% 18.93/19.16  (assume a384 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_nat)) (= (tptp.size_size_list_nat Xs2) N))))
% 18.93/19.16  (assume a385 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_int)) (= (tptp.size_size_list_int Xs2) N))))
% 18.93/19.16  (assume a386 (forall ((X2 tptp.complex)) (= (= tptp.zero_zero_complex X2) (= X2 tptp.zero_zero_complex))))
% 18.93/19.16  (assume a387 (forall ((X2 tptp.real)) (= (= tptp.zero_zero_real X2) (= X2 tptp.zero_zero_real))))
% 18.93/19.16  (assume a388 (forall ((X2 tptp.rat)) (= (= tptp.zero_zero_rat X2) (= X2 tptp.zero_zero_rat))))
% 18.93/19.16  (assume a389 (forall ((X2 tptp.nat)) (= (= tptp.zero_zero_nat X2) (= X2 tptp.zero_zero_nat))))
% 18.93/19.16  (assume a390 (forall ((X2 tptp.int)) (= (= tptp.zero_zero_int X2) (= X2 tptp.zero_zero_int))))
% 18.93/19.16  (assume a391 (forall ((X2 tptp.list_VEBT_VEBT) (Y tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT X2) (tptp.size_s6755466524823107622T_VEBT Y))) (not (= X2 Y)))))
% 18.93/19.16  (assume a392 (forall ((X2 tptp.list_bool) (Y tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool X2) (tptp.size_size_list_bool Y))) (not (= X2 Y)))))
% 18.93/19.16  (assume a393 (forall ((X2 tptp.list_nat) (Y tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat X2) (tptp.size_size_list_nat Y))) (not (= X2 Y)))))
% 18.93/19.16  (assume a394 (forall ((X2 tptp.list_int) (Y tptp.list_int)) (=> (not (= (tptp.size_size_list_int X2) (tptp.size_size_list_int Y))) (not (= X2 Y)))))
% 18.93/19.16  (assume a395 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (= (tptp.aa_num_nat tptp.size_size_num X2) (tptp.aa_num_nat tptp.size_size_num Y))) (not (= X2 Y)))))
% 18.93/19.16  (assume a396 (forall ((X2 tptp.set_nat) (Xs tptp.list_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_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_s3254054031482475050et_nat Xs))))))
% 18.93/19.16  (assume a397 (forall ((X2 tptp.real) (Xs tptp.list_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) (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))))))
% 18.93/19.16  (assume a398 (forall ((X2 tptp.vEBT_VEBT) (Xs tptp.list_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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s6755466524823107622T_VEBT Xs))))))
% 18.93/19.16  (assume a399 (forall ((X2 tptp.bool) (Xs tptp.list_bool)) (=> (tptp.member_bool X2 (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))))))
% 18.93/19.16  (assume a400 (forall ((X2 tptp.nat) (Xs tptp.list_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (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))))))
% 18.93/19.16  (assume a401 (forall ((X2 tptp.int) (Xs tptp.list_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (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))))))
% 18.93/19.16  (assume a402 (forall ((P tptp.fun_li6006399982103069984T_bool) (Xs tptp.list_VEBT_VEBT)) (=> (forall ((Xs2 tptp.list_VEBT_VEBT)) (=> (forall ((Ys2 tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT Ys2)) (tptp.size_s6755466524823107622T_VEBT Xs2))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Ys2)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs2)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs)))))
% 18.93/19.16  (assume a403 (forall ((P tptp.fun_list_bool_bool) (Xs tptp.list_bool)) (=> (forall ((Xs2 tptp.list_bool)) (=> (forall ((Ys2 tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool Ys2)) (tptp.size_size_list_bool Xs2))) (tptp.pp (tptp.aa_list_bool_bool P Ys2)))) (tptp.pp (tptp.aa_list_bool_bool P Xs2)))) (tptp.pp (tptp.aa_list_bool_bool P Xs)))))
% 18.93/19.16  (assume a404 (forall ((P tptp.fun_list_nat_bool) (Xs tptp.list_nat)) (=> (forall ((Xs2 tptp.list_nat)) (=> (forall ((Ys2 tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat Ys2)) (tptp.size_size_list_nat Xs2))) (tptp.pp (tptp.aa_list_nat_bool P Ys2)))) (tptp.pp (tptp.aa_list_nat_bool P Xs2)))) (tptp.pp (tptp.aa_list_nat_bool P Xs)))))
% 18.93/19.16  (assume a405 (forall ((P tptp.fun_list_int_bool) (Xs tptp.list_int)) (=> (forall ((Xs2 tptp.list_int)) (=> (forall ((Ys2 tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int Ys2)) (tptp.size_size_list_int Xs2))) (tptp.pp (tptp.aa_list_int_bool P Ys2)))) (tptp.pp (tptp.aa_list_int_bool P Xs2)))) (tptp.pp (tptp.aa_list_int_bool P Xs)))))
% 18.93/19.16  (assume a406 (forall ((X2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X2))))
% 18.93/19.16  (assume a407 (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)))))
% 18.93/19.16  (assume a408 (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)))))
% 18.93/19.16  (assume a409 (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)))))
% 18.93/19.16  (assume a410 (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)))))
% 18.93/19.16  (assume a411 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 18.93/19.16  (assume a412 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 18.93/19.16  (assume a413 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 18.93/19.16  (assume a414 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 18.93/19.16  (assume a415 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 18.93/19.16  (assume a416 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 18.93/19.16  (assume a417 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 18.93/19.16  (assume a418 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 18.93/19.16  (assume a419 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.16  (assume a420 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 18.93/19.16  (assume a421 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 18.93/19.16  (assume a422 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 18.93/19.16  (assume a423 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 18.93/19.16  (assume a424 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 18.93/19.16  (assume a425 (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)))))
% 18.93/19.16  (assume a426 (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)))))
% 18.93/19.16  (assume a427 (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))))
% 18.93/19.16  (assume a428 (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)))))
% 18.93/19.16  (assume a429 (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)))))
% 18.93/19.16  (assume a430 (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)))))
% 18.93/19.16  (assume a431 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (=> (not (tptp.pp (tptp.aa_nat_bool P N2))) (exists ((M2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N2)) (not (tptp.pp (tptp.aa_nat_bool P M2)))))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 18.93/19.16  (assume a432 (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))))
% 18.93/19.16  (assume a433 (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))))
% 18.93/19.16  (assume a434 (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))))
% 18.93/19.16  (assume a435 (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))))
% 18.93/19.16  (assume a436 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)))
% 18.93/19.16  (assume a437 (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))))
% 18.93/19.16  (assume a438 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys)) (=> (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 Ys I3)))) (= Xs Ys)))))
% 18.93/19.16  (assume a439 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys)) (=> (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 Ys) I3))))) (= Xs Ys)))))
% 18.93/19.16  (assume a440 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (=> (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys)) (=> (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 Ys) I3)))) (= Xs Ys)))))
% 18.93/19.16  (assume a441 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (=> (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys)) (=> (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 Ys) I3)))) (= Xs Ys)))))
% 18.93/19.16  (assume a442 (forall ((K tptp.nat) (P tptp.fun_na2351039247863542899T_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (exists ((X_13 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I5) X_13))))) (exists ((Xs3 tptp.list_VEBT_VEBT)) (and (= (tptp.size_s6755466524823107622T_VEBT Xs3) K) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I5) (tptp.nth_VEBT_VEBT Xs3 I5))))))))))
% 18.93/19.16  (assume a443 (forall ((K tptp.nat) (P tptp.fun_na9137082442855928016l_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (exists ((X_13 tptp.bool)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I5) X_13))))) (exists ((Xs3 tptp.list_bool)) (and (= (tptp.size_size_list_bool Xs3) K) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I5) (tptp.aa_nat_bool (tptp.nth_bool Xs3) I5))))))))))
% 18.93/19.16  (assume a444 (forall ((K tptp.nat) (P tptp.fun_nat_fun_nat_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I5) X_13))))) (exists ((Xs3 tptp.list_nat)) (and (= (tptp.size_size_list_nat Xs3) K) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I5) (tptp.aa_nat_nat (tptp.nth_nat Xs3) I5))))))))))
% 18.93/19.16  (assume a445 (forall ((K tptp.nat) (P tptp.fun_nat_fun_int_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I5) X_13))))) (exists ((Xs3 tptp.list_int)) (and (= (tptp.size_size_list_int Xs3) K) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I5) (tptp.aa_nat_int (tptp.nth_int Xs3) I5))))))))))
% 18.93/19.16  (assume a446 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (= Xs Ys) (and (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I5) (tptp.nth_VEBT_VEBT Ys I5))))))))
% 18.93/19.16  (assume a447 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (= (= Xs Ys) (and (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys) I5)))))))))
% 18.93/19.16  (assume a448 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (= (= Xs Ys) (and (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I5) (tptp.aa_nat_nat (tptp.nth_nat Ys) I5))))))))
% 18.93/19.16  (assume a449 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (= (= Xs Ys) (and (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I5) (tptp.aa_nat_int (tptp.nth_int Ys) I5))))))))
% 18.93/19.16  (assume a450 (forall ((A tptp.real) (C tptp.real) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a451 (forall ((A tptp.rat) (C tptp.rat) (B 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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) B))))))
% 18.93/19.16  (assume a452 (forall ((A tptp.nat) (C tptp.nat) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a453 (forall ((A tptp.int) (C tptp.int) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a454 (forall ((A tptp.real) (B 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 B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 18.93/19.16  (assume a455 (forall ((A tptp.rat) (B 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 B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)))))))
% 18.93/19.16  (assume a456 (forall ((A tptp.nat) (B 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 B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 18.93/19.16  (assume a457 (forall ((A tptp.int) (B 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 B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 18.93/19.16  (assume a458 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a459 (forall ((C tptp.rat) (A tptp.rat) (B 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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) B))))))
% 18.93/19.16  (assume a460 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a461 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (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)) B))))))
% 18.93/19.16  (assume a462 (forall ((C tptp.real) (B 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 B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 18.93/19.16  (assume a463 (forall ((C tptp.rat) (B 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 B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)))))))
% 18.93/19.16  (assume a464 (forall ((C tptp.nat) (B 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 B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 18.93/19.16  (assume a465 (forall ((C tptp.int) (B 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 B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 18.93/19.16  (assume a466 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a467 (forall ((A tptp.rat) (B 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) B)) (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.plus_plus_rat A) B)))))))
% 18.93/19.16  (assume a468 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a469 (forall ((A tptp.int) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a470 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a471 (forall ((A tptp.rat) (B 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 B) 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.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a472 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a473 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.16  (assume a474 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y) tptp.zero_zero_real) (and (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 18.93/19.16  (assume a475 (forall ((X2 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) X2)) (=> (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.plus_plus_rat X2) Y) tptp.zero_zero_rat) (and (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 18.93/19.16  (assume a476 (forall ((X2 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) X2)) (=> (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 X2) Y) tptp.zero_zero_nat) (and (= X2 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 18.93/19.16  (assume a477 (forall ((X2 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) X2)) (=> (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 X2) Y) tptp.zero_zero_int) (and (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 18.93/19.16  (assume a478 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Y) tptp.zero_zero_real) (and (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 18.93/19.16  (assume a479 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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.plus_plus_rat X2) Y) tptp.zero_zero_rat) (and (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 18.93/19.16  (assume a480 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) 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 X2) Y) tptp.zero_zero_nat) (and (= X2 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 18.93/19.16  (assume a481 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) 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 X2) Y) tptp.zero_zero_int) (and (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 18.93/19.16  (assume a482 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a483 (forall ((A tptp.rat) (B 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 B) 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.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a484 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a485 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.16  (assume a486 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a487 (forall ((A tptp.rat) (B 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) B)) (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.plus_plus_rat A) B)))))))
% 18.93/19.16  (assume a488 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a489 (forall ((A tptp.int) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a490 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (forall ((C3 tptp.nat)) (=> (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C3)) (= C3 tptp.zero_zero_nat)))))))
% 18.93/19.16  (assume a491 (forall ((A tptp.real) (B 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 B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 18.93/19.16  (assume a492 (forall ((A tptp.rat) (B 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 B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)))))))
% 18.93/19.16  (assume a493 (forall ((A tptp.nat) (B 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 B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 18.93/19.16  (assume a494 (forall ((A tptp.int) (B 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 B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 18.93/19.16  (assume a495 (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 ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K3)) (not (tptp.pp (tptp.aa_nat_bool P I4))))) (tptp.pp (tptp.aa_nat_bool P K3))))))))
% 18.93/19.16  (assume a496 (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 ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K3) J))))))
% 18.93/19.16  (assume a497 (forall ((N tptp.nat) (Xs tptp.list_set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3254054031482475050et_nat Xs))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat (tptp.nth_set_nat Xs N)) (tptp.set_set_nat2 Xs))))))
% 18.93/19.16  (assume a498 (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.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_nat_real (tptp.nth_real Xs) N)) (tptp.set_real2 Xs))))))
% 18.93/19.16  (assume a499 (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))))))
% 18.93/19.16  (assume a500 (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)))))
% 18.93/19.16  (assume a501 (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.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat (tptp.nth_nat Xs) N)) (tptp.set_nat2 Xs))))))
% 18.93/19.16  (assume a502 (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.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_nat_int (tptp.nth_int Xs) N)) (tptp.set_int2 Xs))))))
% 18.93/19.16  (assume a503 (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 ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X4)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs N)))))))
% 18.93/19.16  (assume a504 (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 ((X4 tptp.bool)) (=> (tptp.member_bool X4 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X4)))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) N)))))))
% 18.93/19.16  (assume a505 (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 ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X4)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) N)))))))
% 18.93/19.16  (assume a506 (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 ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X4)))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) N)))))))
% 18.93/19.16  (assume a507 (forall ((X2 tptp.set_nat) (Xs tptp.list_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_set_nat2 Xs))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_s3254054031482475050et_nat Xs))) (= (tptp.nth_set_nat Xs I5) X2))))))
% 18.93/19.16  (assume a508 (forall ((X2 tptp.real) (Xs tptp.list_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_real2 Xs))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_real Xs))) (= (tptp.aa_nat_real (tptp.nth_real Xs) I5) X2))))))
% 18.93/19.16  (assume a509 (forall ((X2 tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 Xs))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I5) X2))))))
% 18.93/19.16  (assume a510 (forall ((X2 tptp.bool) (Xs tptp.list_bool)) (= (tptp.member_bool X2 (tptp.set_bool2 Xs)) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I5)) (tptp.pp X2)))))))
% 18.93/19.16  (assume a511 (forall ((X2 tptp.nat) (Xs tptp.list_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.set_nat2 Xs))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I5) X2))))))
% 18.93/19.16  (assume a512 (forall ((X2 tptp.int) (Xs tptp.list_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (tptp.set_int2 Xs))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I5) X2))))))
% 18.93/19.16  (assume a513 (forall ((Xs tptp.list_set_nat) (P tptp.fun_set_nat_bool) (X2 tptp.set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s3254054031482475050et_nat Xs))) (tptp.pp (tptp.aa_set_nat_bool P (tptp.nth_set_nat Xs I3))))) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_set_nat2 Xs))) (tptp.pp (tptp.aa_set_nat_bool P X2))))))
% 18.93/19.16  (assume a514 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (X2 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.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_real_bool P X2))))))
% 18.93/19.16  (assume a515 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (X2 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 X2) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X2))))))
% 18.93/19.16  (assume a516 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (X2 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 X2 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X2))))))
% 18.93/19.16  (assume a517 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (X2 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.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X2))))))
% 18.93/19.16  (assume a518 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (X2 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.pp (tptp.aa_set_int_bool (tptp.member_int X2) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X2))))))
% 18.93/19.16  (assume a519 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (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)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I5))))))))
% 18.93/19.16  (assume a520 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool)) (= (forall ((X3 tptp.bool)) (=> (tptp.member_bool X3 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X3)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I5))))))))
% 18.93/19.16  (assume a521 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool)) (= (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X3)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I5))))))))
% 18.93/19.16  (assume a522 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool)) (= (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X3)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I5))))))))
% 18.93/19.16  (assume a523 (forall ((A tptp.rat) (B tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (= B A))))))
% 18.93/19.16  (assume a524 (forall ((A tptp.num) (B tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (= B A))))))
% 18.93/19.16  (assume a525 (forall ((A tptp.nat) (B tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (= B A))))))
% 18.93/19.16  (assume a526 (forall ((A tptp.int) (B tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (= B A))))))
% 18.93/19.16  (assume a527 (forall ((X2 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 X2) 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) X2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Z)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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) X2)))) (=> (=> (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) X2)))) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y))))))))))))
% 18.93/19.16  (assume a528 (forall ((X2 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 X2) 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) X2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) 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) X2)))) (=> (=> (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) X2)))) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y))))))))))))
% 18.93/19.16  (assume a529 (forall ((X2 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 X2) 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) X2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) 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) X2)))) (=> (=> (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) X2)))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))))))))))))
% 18.93/19.16  (assume a530 (forall ((X2 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 X2) 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) X2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) 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) X2)))) (=> (=> (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) X2)))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y))))))))))))
% 18.93/19.16  (assume a531 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (= X2 Y) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2))))))
% 18.93/19.16  (assume a532 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (= X2 Y) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2))))))
% 18.93/19.16  (assume a533 (forall ((X2 tptp.num) (Y tptp.num)) (= (= X2 Y) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2))))))
% 18.93/19.16  (assume a534 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (= X2 Y) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2))))))
% 18.93/19.16  (assume a535 (forall ((X2 tptp.int) (Y tptp.int)) (= (= X2 Y) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2))))))
% 18.93/19.16  (assume a536 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int)) (=> (= A B) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) C)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) C))))))
% 18.93/19.16  (assume a537 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= A B) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 18.93/19.16  (assume a538 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 18.93/19.16  (assume a539 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 18.93/19.16  (assume a540 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 18.93/19.16  (assume a541 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (=> (= B C) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) C))))))
% 18.93/19.16  (assume a542 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= B C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 18.93/19.16  (assume a543 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= B C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 18.93/19.16  (assume a544 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 18.93/19.16  (assume a545 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (= B C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 18.93/19.16  (assume a546 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a547 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a548 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a549 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a550 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a551 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) C)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) C))))))
% 18.93/19.16  (assume a552 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 18.93/19.16  (assume a553 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 18.93/19.16  (assume a554 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 18.93/19.16  (assume a555 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 18.93/19.16  (assume a556 (forall ((X2 tptp.set_int) (Y tptp.set_int) (Z tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) Z)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Z))))))
% 18.93/19.16  (assume a557 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a558 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a559 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a560 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a561 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B tptp.rat)) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A3) B3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B3) A3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B))))))
% 18.93/19.16  (assume a562 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A3) B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B3) A3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B))))))
% 18.93/19.16  (assume a563 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B))))))
% 18.93/19.16  (assume a564 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 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 P A3) B3)))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B3) A3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B))))))
% 18.93/19.16  (assume a565 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= A B) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))))))
% 18.93/19.16  (assume a566 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 18.93/19.16  (assume a567 (forall ((A tptp.num) (B tptp.num)) (= (= A B) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 18.93/19.16  (assume a568 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 18.93/19.16  (assume a569 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 18.93/19.16  (assume a570 (forall ((B tptp.set_int) (A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (= A B)))))
% 18.93/19.16  (assume a571 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= A B)))))
% 18.93/19.16  (assume a572 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= A B)))))
% 18.93/19.16  (assume a573 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= A B)))))
% 18.93/19.16  (assume a574 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= A B)))))
% 18.93/19.16  (assume a575 (forall ((B tptp.set_int) (A tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) A))))))
% 18.93/19.16  (assume a576 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 18.93/19.16  (assume a577 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))
% 18.93/19.16  (assume a578 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 18.93/19.16  (assume a579 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 18.93/19.16  (assume a580 (forall ((A tptp.set_int) (B tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (= A B)))))
% 18.93/19.16  (assume a581 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A B)))))
% 18.93/19.16  (assume a582 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A B)))))
% 18.93/19.16  (assume a583 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A B)))))
% 18.93/19.16  (assume a584 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A B)))))
% 18.93/19.16  (assume a585 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= A B) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A))))))
% 18.93/19.16  (assume a586 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 18.93/19.16  (assume a587 (forall ((A tptp.num) (B tptp.num)) (= (= A B) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A))))))
% 18.93/19.16  (assume a588 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A))))))
% 18.93/19.16  (assume a589 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 18.93/19.16  (assume a590 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a591 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 18.93/19.16  (assume a592 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 18.93/19.16  (assume a593 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F C))))))))
% 18.93/19.16  (assume a594 (forall ((A tptp.num) (F tptp.fun_rat_num) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 18.93/19.16  (assume a595 (forall ((A tptp.num) (F tptp.fun_num_num) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 18.93/19.16  (assume a596 (forall ((A tptp.num) (F tptp.fun_nat_num) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X4)) (tptp.aa_nat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 18.93/19.16  (assume a597 (forall ((A tptp.num) (F tptp.fun_int_num) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F X4)) (tptp.aa_int_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F C))))))))
% 18.93/19.16  (assume a598 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 18.93/19.16  (assume a599 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 18.93/19.16  (assume a600 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a601 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 18.93/19.16  (assume a602 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 18.93/19.16  (assume a603 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 18.93/19.16  (assume a604 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 18.93/19.16  (assume a605 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 18.93/19.16  (assume a606 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 18.93/19.16  (assume a607 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X4)) (tptp.aa_num_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 18.93/19.16  (assume a608 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B)) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 18.93/19.16  (assume a609 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F B)) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X4)) (tptp.aa_nat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 18.93/19.16  (assume a610 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (= X2 Y) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)))))
% 18.93/19.16  (assume a611 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (= X2 Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 18.93/19.16  (assume a612 (forall ((X2 tptp.num) (Y tptp.num)) (=> (= X2 Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)))))
% 18.93/19.16  (assume a613 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (= X2 Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)))))
% 18.93/19.16  (assume a614 (forall ((X2 tptp.int) (Y tptp.int)) (=> (= X2 Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)))))
% 18.93/19.16  (assume a615 (forall ((X2 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)))))
% 18.93/19.16  (assume a616 (forall ((X2 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)))))
% 18.93/19.16  (assume a617 (forall ((X2 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))
% 18.93/19.16  (assume a618 (forall ((X2 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)))))
% 18.93/19.16  (assume a619 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a620 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 18.93/19.16  (assume a621 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 18.93/19.16  (assume a622 (forall ((A tptp.int) (F tptp.fun_rat_int) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_rat_int F C))))))))
% 18.93/19.16  (assume a623 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_rat F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 18.93/19.16  (assume a624 (forall ((A tptp.num) (F tptp.fun_num_num) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_num F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 18.93/19.16  (assume a625 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_nat F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 18.93/19.16  (assume a626 (forall ((A tptp.int) (F tptp.fun_num_int) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_int F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X4)) (tptp.aa_num_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_num_int F C))))))))
% 18.93/19.16  (assume a627 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_rat F B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 18.93/19.16  (assume a628 (forall ((A tptp.num) (F tptp.fun_nat_num) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_num F B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X4)) (tptp.aa_nat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 18.93/19.16  (assume a629 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_rat F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a630 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_num F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 18.93/19.16  (assume a631 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_nat F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 18.93/19.16  (assume a632 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_int F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 18.93/19.16  (assume a633 (forall ((A tptp.num) (B 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) B)) (=> (= (tptp.aa_num_rat F B) C) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 18.93/19.16  (assume a634 (forall ((A tptp.num) (B 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) B)) (=> (= (tptp.aa_num_num F B) C) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 18.93/19.16  (assume a635 (forall ((A tptp.num) (B 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) B)) (=> (= (tptp.aa_num_nat F B) C) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 18.93/19.16  (assume a636 (forall ((A tptp.num) (B 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) B)) (=> (= (tptp.aa_num_int F B) C) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X4)) (tptp.aa_num_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 18.93/19.16  (assume a637 (forall ((A tptp.nat) (B 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) B)) (=> (= (tptp.aa_nat_rat F B) C) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 18.93/19.16  (assume a638 (forall ((A tptp.nat) (B 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) B)) (=> (= (tptp.aa_nat_num F B) C) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X4)) (tptp.aa_nat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 18.93/19.16  (assume a639 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)))))
% 18.93/19.16  (assume a640 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)))))
% 18.93/19.16  (assume a641 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))
% 18.93/19.16  (assume a642 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)))))
% 18.93/19.16  (assume a643 (forall ((Y tptp.set_int) (X2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a644 (forall ((Y tptp.rat) (X2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a645 (forall ((Y tptp.num) (X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a646 (forall ((Y tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a647 (forall ((Y tptp.int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a648 (forall ((N tptp.nat) (Xs tptp.list_set_nat) (X2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3254054031482475050et_nat Xs))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_set_nat2 (tptp.list_update_set_nat Xs N X2)))))))
% 18.93/19.16  (assume a649 (forall ((N tptp.nat) (Xs tptp.list_real) (X2 tptp.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.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_real2 (tptp.list_update_real Xs N X2)))))))
% 18.93/19.16  (assume a650 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (X2 tptp.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 X2) (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs N X2)))))))
% 18.93/19.16  (assume a651 (forall ((N tptp.nat) (Xs tptp.list_bool) (X2 tptp.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 X2 (tptp.set_bool2 (tptp.list_update_bool Xs N X2))))))
% 18.93/19.16  (assume a652 (forall ((N tptp.nat) (Xs tptp.list_nat) (X2 tptp.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.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.set_nat2 (tptp.list_update_nat Xs N X2)))))))
% 18.93/19.16  (assume a653 (forall ((N tptp.nat) (Xs tptp.list_int) (X2 tptp.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.pp (tptp.aa_set_int_bool (tptp.member_int X2) (tptp.set_int2 (tptp.list_update_int Xs N X2)))))))
% 18.93/19.16  (assume a654 (forall ((X2 tptp.real)) (exists ((Y2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) X2)))))
% 18.93/19.16  (assume a655 (forall ((X2 tptp.rat)) (exists ((Y2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y2) X2)))))
% 18.93/19.16  (assume a656 (forall ((X2 tptp.int)) (exists ((Y2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y2) X2)))))
% 18.93/19.16  (assume a657 (forall ((X2 tptp.real)) (exists ((X_1 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) X_1)))))
% 18.93/19.16  (assume a658 (forall ((X2 tptp.rat)) (exists ((X_1 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) X_1)))))
% 18.93/19.16  (assume a659 (forall ((X2 tptp.nat)) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) X_1)))))
% 18.93/19.16  (assume a660 (forall ((X2 tptp.int)) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) X_1)))))
% 18.93/19.16  (assume a661 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) Y)))))))
% 18.93/19.16  (assume a662 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (exists ((Z2 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) Y)))))))
% 18.93/19.16  (assume a663 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a664 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a665 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a666 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a667 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a668 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 18.93/19.16  (assume a669 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 18.93/19.16  (assume a670 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A))))))
% 18.93/19.16  (assume a671 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))))))
% 18.93/19.16  (assume a672 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 18.93/19.16  (assume a673 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= A B) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 18.93/19.16  (assume a674 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= A B) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 18.93/19.16  (assume a675 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 18.93/19.16  (assume a676 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 18.93/19.16  (assume a677 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 18.93/19.16  (assume a678 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= B C) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 18.93/19.16  (assume a679 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= B C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 18.93/19.16  (assume a680 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (= B C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 18.93/19.16  (assume a681 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 18.93/19.16  (assume a682 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (= B C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 18.93/19.16  (assume a683 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y3) X4)) (tptp.pp (tptp.aa_nat_bool P Y3)))) (tptp.pp (tptp.aa_nat_bool P X4)))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 18.93/19.16  (assume a684 (forall ((Y tptp.real) (X2 tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a685 (forall ((Y tptp.rat) (X2 tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a686 (forall ((Y tptp.num) (X2 tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a687 (forall ((Y tptp.nat) (X2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a688 (forall ((Y tptp.int) (X2 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a689 (forall ((X2 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (=> (not (= X2 Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a690 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (=> (not (= X2 Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a691 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (=> (not (= X2 Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a692 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (=> (not (= X2 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a693 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (=> (not (= X2 Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a694 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a695 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a696 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 18.93/19.16  (assume a697 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 18.93/19.16  (assume a698 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 18.93/19.16  (assume a699 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 18.93/19.16  (assume a700 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) A)))))
% 18.93/19.16  (assume a701 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 18.93/19.16  (assume a702 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 18.93/19.16  (assume a703 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 18.93/19.16  (assume a704 (forall ((P tptp.fun_nat_bool)) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_13))) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P N3)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N3)) (not (tptp.pp (tptp.aa_nat_bool P M4))))))))))
% 18.93/19.16  (assume a705 (forall ((P tptp.fun_re1255401033344146673l_bool) (A tptp.real) (B tptp.real)) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A3) B3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3)))) (=> (forall ((A3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) A3))) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P B3) A3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A) B)))))))
% 18.93/19.16  (assume a706 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B tptp.rat)) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A3) B3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (=> (forall ((A3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) A3))) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B3) A3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B)))))))
% 18.93/19.16  (assume a707 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A3) B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (=> (forall ((A3 tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) A3))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B3) A3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B)))))))
% 18.93/19.16  (assume a708 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 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 P A3) B3)))) (=> (forall ((A3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) A3))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B)))))))
% 18.93/19.16  (assume a709 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 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 P A3) B3)))) (=> (forall ((A3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) A3))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B3) A3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B)))))))
% 18.93/19.16  (assume a710 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 18.93/19.16  (assume a711 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 18.93/19.16  (assume a712 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 18.93/19.16  (assume a713 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 18.93/19.16  (assume a714 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 18.93/19.16  (assume a715 (forall ((X2 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a716 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a717 (forall ((X2 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a718 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a719 (forall ((X2 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2)) (= X2 Y)))))
% 18.93/19.16  (assume a720 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 18.93/19.16  (assume a721 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 18.93/19.16  (assume a722 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 18.93/19.16  (assume a723 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 18.93/19.16  (assume a724 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 18.93/19.16  (assume a725 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (= A B)))))
% 18.93/19.16  (assume a726 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (= A B)))))
% 18.93/19.16  (assume a727 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (= A B)))))
% 18.93/19.16  (assume a728 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (= A B)))))
% 18.93/19.16  (assume a729 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (= A B)))))
% 18.93/19.16  (assume a730 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (not (= A B)))))
% 18.93/19.16  (assume a731 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (not (= A B)))))
% 18.93/19.16  (assume a732 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (not (= A B)))))
% 18.93/19.16  (assume a733 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (not (= A B)))))
% 18.93/19.16  (assume a734 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (not (= A B)))))
% 18.93/19.16  (assume a735 (forall ((X2 tptp.real) (Y tptp.real)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a736 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a737 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a738 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a739 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a740 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a741 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a742 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a743 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a744 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a745 (forall ((X2 tptp.real) (Y tptp.real)) (= (not (= X2 Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a746 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (not (= X2 Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a747 (forall ((X2 tptp.num) (Y tptp.num)) (= (not (= X2 Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a748 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (not (= X2 Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a749 (forall ((X2 tptp.int) (Y tptp.int)) (= (not (= X2 Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a750 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 18.93/19.16  (assume a751 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 18.93/19.16  (assume a752 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A))))))
% 18.93/19.16  (assume a753 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))))))
% 18.93/19.16  (assume a754 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 18.93/19.16  (assume a755 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) Z))))))
% 18.93/19.16  (assume a756 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) 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 X2) Z))))))
% 18.93/19.16  (assume a757 (forall ((X2 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) 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 X2) Z))))))
% 18.93/19.16  (assume a758 (forall ((X2 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) 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 X2) Z))))))
% 18.93/19.16  (assume a759 (forall ((X2 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) 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 X2) Z))))))
% 18.93/19.16  (assume a760 (forall ((A tptp.real) (F tptp.fun_real_real) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_real F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 18.93/19.16  (assume a761 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_rat F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 18.93/19.16  (assume a762 (forall ((A tptp.num) (F tptp.fun_real_num) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_num F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X4)) (tptp.aa_real_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_real_num F C))))))))
% 18.93/19.16  (assume a763 (forall ((A tptp.nat) (F tptp.fun_real_nat) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_nat F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X4)) (tptp.aa_real_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_real_nat F C))))))))
% 18.93/19.16  (assume a764 (forall ((A tptp.int) (F tptp.fun_real_int) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_int F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X4)) (tptp.aa_real_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_real_int F C))))))))
% 18.93/19.16  (assume a765 (forall ((A tptp.real) (F tptp.fun_rat_real) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_real F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 18.93/19.16  (assume a766 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a767 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 18.93/19.16  (assume a768 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 18.93/19.16  (assume a769 (forall ((A tptp.int) (F tptp.fun_rat_int) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 18.93/19.16  (assume a770 (forall ((A tptp.real) (B 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) B)) (=> (= (tptp.aa_real_real F B) C) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 18.93/19.16  (assume a771 (forall ((A tptp.real) (B 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) B)) (=> (= (tptp.aa_real_rat F B) C) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 18.93/19.16  (assume a772 (forall ((A tptp.real) (B 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) B)) (=> (= (tptp.aa_real_num F B) C) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X4)) (tptp.aa_real_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 18.93/19.16  (assume a773 (forall ((A tptp.real) (B 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) B)) (=> (= (tptp.aa_real_nat F B) C) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X4)) (tptp.aa_real_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 18.93/19.16  (assume a774 (forall ((A tptp.real) (B 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) B)) (=> (= (tptp.aa_real_int F B) C) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X4)) (tptp.aa_real_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 18.93/19.16  (assume a775 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_real F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 18.93/19.16  (assume a776 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_rat F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a777 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_num F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 18.93/19.16  (assume a778 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_nat F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 18.93/19.16  (assume a779 (forall ((A tptp.rat) (B 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) B)) (=> (= (tptp.aa_rat_int F B) C) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 18.93/19.16  (assume a780 (forall ((X2 tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) X2)))))
% 18.93/19.16  (assume a781 (forall ((X2 tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) X2)))))
% 18.93/19.16  (assume a782 (forall ((X2 tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) X2)))))
% 18.93/19.16  (assume a783 (forall ((X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) X2)))))
% 18.93/19.16  (assume a784 (forall ((X2 tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) X2)))))
% 18.93/19.16  (assume a785 (forall ((A tptp.real) (F tptp.fun_real_real) (B 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 B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 18.93/19.16  (assume a786 (forall ((A tptp.real) (F tptp.fun_rat_real) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 18.93/19.16  (assume a787 (forall ((A tptp.real) (F tptp.fun_num_real) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X4)) (tptp.aa_num_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 18.93/19.16  (assume a788 (forall ((A tptp.real) (F tptp.fun_nat_real) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X4)) (tptp.aa_nat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 18.93/19.16  (assume a789 (forall ((A tptp.real) (F tptp.fun_int_real) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X4)) (tptp.aa_int_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 18.93/19.16  (assume a790 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 18.93/19.16  (assume a791 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a792 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 18.93/19.16  (assume a793 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 18.93/19.16  (assume a794 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 18.93/19.16  (assume a795 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 18.93/19.16  (assume a796 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 18.93/19.16  (assume a797 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X4)) (tptp.aa_real_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 18.93/19.16  (assume a798 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X4)) (tptp.aa_real_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 18.93/19.16  (assume a799 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X4)) (tptp.aa_real_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 18.93/19.16  (assume a800 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 18.93/19.16  (assume a801 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a802 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 18.93/19.16  (assume a803 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 18.93/19.16  (assume a804 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 18.93/19.16  (assume a805 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a806 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a807 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a808 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a809 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a810 (forall ((X2 tptp.real) (Y tptp.real) (P tptp.bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)) (tptp.pp P)))))
% 18.93/19.16  (assume a811 (forall ((X2 tptp.rat) (Y tptp.rat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2)) (tptp.pp P)))))
% 18.93/19.16  (assume a812 (forall ((X2 tptp.num) (Y tptp.num) (P tptp.bool)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2)) (tptp.pp P)))))
% 18.93/19.16  (assume a813 (forall ((X2 tptp.nat) (Y tptp.nat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2)) (tptp.pp P)))))
% 18.93/19.16  (assume a814 (forall ((X2 tptp.int) (Y tptp.int) (P tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2)) (tptp.pp P)))))
% 18.93/19.16  (assume a815 (forall ((X2 tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (= X2 Y) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))
% 18.93/19.16  (assume a816 (forall ((X2 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (= X2 Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2)))))
% 18.93/19.16  (assume a817 (forall ((X2 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (= X2 Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2)))))
% 18.93/19.16  (assume a818 (forall ((X2 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (= X2 Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2)))))
% 18.93/19.16  (assume a819 (forall ((X2 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (= X2 Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2)))))
% 18.93/19.16  (assume a820 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a821 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a822 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a823 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a824 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (= X2 Y)))))
% 18.93/19.16  (assume a825 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (= Y X2)))))
% 18.93/19.16  (assume a826 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (= Y X2)))))
% 18.93/19.16  (assume a827 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (= Y X2)))))
% 18.93/19.16  (assume a828 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (= Y X2)))))
% 18.93/19.16  (assume a829 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (= Y X2)))))
% 18.93/19.16  (assume a830 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a831 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a832 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2))))))
% 18.93/19.16  (assume a833 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2))))))
% 18.93/19.16  (assume a834 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a835 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (J tptp.nat) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (and (=> (= I J) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) J) X2)) (=> (not (= I J)) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X2) J) (tptp.nth_VEBT_VEBT Xs J)))))))
% 18.93/19.16  (assume a836 (forall ((I tptp.nat) (Xs tptp.list_bool) (X2 tptp.bool) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I X2)) J)) (and (=> (= I J) (tptp.pp X2)) (=> (not (= I J)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) J))))))))
% 18.93/19.16  (assume a837 (forall ((I tptp.nat) (Xs tptp.list_nat) (J tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (and (=> (= I J) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X2)) J) X2)) (=> (not (= I J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X2)) J) (tptp.aa_nat_nat (tptp.nth_nat Xs) J)))))))
% 18.93/19.16  (assume a838 (forall ((I tptp.nat) (Xs tptp.list_int) (J tptp.nat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (and (=> (= I J) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X2)) J) X2)) (=> (not (= I J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X2)) J) (tptp.aa_nat_int (tptp.nth_int Xs) J)))))))
% 18.93/19.16  (assume a839 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (= (tptp.list_u1324408373059187874T_VEBT Xs I X2) Xs) (= (tptp.nth_VEBT_VEBT Xs I) X2)))))
% 18.93/19.16  (assume a840 (forall ((I tptp.nat) (Xs tptp.list_bool) (X2 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (= (tptp.list_update_bool Xs I X2) Xs) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I)) (tptp.pp X2))))))
% 18.93/19.16  (assume a841 (forall ((I tptp.nat) (Xs tptp.list_nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (= (= (tptp.list_update_nat Xs I X2) Xs) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I) X2)))))
% 18.93/19.16  (assume a842 (forall ((I tptp.nat) (Xs tptp.list_int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (= (= (tptp.list_update_int Xs I X2) Xs) (= (tptp.aa_nat_int (tptp.nth_int Xs) I) X2)))))
% 18.93/19.16  (assume a843 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a844 (forall ((A tptp.rat) (B 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 B) 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.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a845 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a846 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.16  (assume a847 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a848 (forall ((A tptp.rat) (B 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) B)) (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.plus_plus_rat A) B)))))))
% 18.93/19.16  (assume a849 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a850 (forall ((A tptp.int) (B 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_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 18.93/19.16  (assume a851 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a852 (forall ((A tptp.rat) (B 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 B) 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.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a853 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a854 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.16  (assume a855 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a856 (forall ((A tptp.rat) (B 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) B)) (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.plus_plus_rat A) B)))))))
% 18.93/19.16  (assume a857 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a858 (forall ((A tptp.int) (B 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) B)) (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) B)))))))
% 18.93/19.16  (assume a859 (forall ((A tptp.real) (B 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 B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 18.93/19.16  (assume a860 (forall ((A tptp.rat) (B 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 B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)))))))
% 18.93/19.16  (assume a861 (forall ((A tptp.nat) (B 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 B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 18.93/19.16  (assume a862 (forall ((A tptp.int) (B 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 B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 18.93/19.16  (assume a863 (forall ((A tptp.real) (B 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 B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 18.93/19.16  (assume a864 (forall ((A tptp.rat) (B 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 B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)))))))
% 18.93/19.16  (assume a865 (forall ((A tptp.nat) (B 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 B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 18.93/19.16  (assume a866 (forall ((A tptp.int) (B 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 B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 18.93/19.16  (assume a867 (forall ((Y tptp.real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))))))
% 18.93/19.16  (assume a868 (forall ((Y tptp.set_int) (X2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y))))))
% 18.93/19.16  (assume a869 (forall ((Y tptp.rat) (X2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))))))
% 18.93/19.16  (assume a870 (forall ((Y tptp.num) (X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))))))
% 18.93/19.16  (assume a871 (forall ((Y tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))))))
% 18.93/19.16  (assume a872 (forall ((Y tptp.int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))))))
% 18.93/19.16  (assume a873 (forall ((X2 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X2)))))
% 18.93/19.16  (assume a874 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)))))
% 18.93/19.16  (assume a875 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)))))
% 18.93/19.16  (assume a876 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))
% 18.93/19.16  (assume a877 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)))))
% 18.93/19.16  (assume a878 (forall ((A tptp.real) (B tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (= A B)))))
% 18.93/19.16  (assume a879 (forall ((A tptp.set_int) (B tptp.set_int)) (= (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B))) (or (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))) (= A B)))))
% 18.93/19.16  (assume a880 (forall ((A tptp.rat) (B tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (= A B)))))
% 18.93/19.16  (assume a881 (forall ((A tptp.num) (B tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (= A B)))))
% 18.93/19.16  (assume a882 (forall ((A tptp.nat) (B tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= A B)))))
% 18.93/19.16  (assume a883 (forall ((A tptp.int) (B tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (= A B)))))
% 18.93/19.16  (assume a884 (forall ((X2 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a885 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y))) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a886 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a887 (forall ((X2 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a888 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a889 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a890 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a891 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (= (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a892 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a893 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a894 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a895 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (= X2 Y)))))
% 18.93/19.16  (assume a896 (forall ((Z tptp.real) (Y tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X4)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 18.93/19.16  (assume a897 (forall ((Z tptp.rat) (Y tptp.rat)) (=> (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X4)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 18.93/19.16  (assume a898 (forall ((Y tptp.real) (Z tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Z)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 18.93/19.16  (assume a899 (forall ((Y tptp.rat) (Z tptp.rat)) (=> (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Z)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 18.93/19.16  (assume a900 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X2)))))))
% 18.93/19.16  (assume a901 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)))))))
% 18.93/19.16  (assume a902 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)))))))
% 18.93/19.16  (assume a903 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)))))))
% 18.93/19.16  (assume a904 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))))
% 18.93/19.16  (assume a905 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)))))))
% 18.93/19.16  (assume a906 (forall ((Y tptp.real) (X2 tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 18.93/19.16  (assume a907 (forall ((Y tptp.rat) (X2 tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)))))
% 18.93/19.16  (assume a908 (forall ((Y tptp.num) (X2 tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)))))
% 18.93/19.16  (assume a909 (forall ((Y tptp.nat) (X2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)))))
% 18.93/19.16  (assume a910 (forall ((Y tptp.int) (X2 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)))))
% 18.93/19.16  (assume a911 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (= A B)))))
% 18.93/19.16  (assume a912 (forall ((A tptp.set_int) (B tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B)) (= A B)))))
% 18.93/19.16  (assume a913 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (= A B)))))
% 18.93/19.16  (assume a914 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (= A B)))))
% 18.93/19.16  (assume a915 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (= A B)))))
% 18.93/19.16  (assume a916 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (= A B)))))
% 18.93/19.16  (assume a917 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (not (= A B))))))
% 18.93/19.16  (assume a918 (forall ((A tptp.set_int) (B tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (not (= A B))))))
% 18.93/19.16  (assume a919 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (not (= A B))))))
% 18.93/19.16  (assume a920 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (not (= A B))))))
% 18.93/19.16  (assume a921 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (= A B))))))
% 18.93/19.16  (assume a922 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (not (= A B))))))
% 18.93/19.16  (assume a923 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 18.93/19.16  (assume a924 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) C)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) C))))))
% 18.93/19.16  (assume a925 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 18.93/19.16  (assume a926 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 18.93/19.16  (assume a927 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 18.93/19.16  (assume a928 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 18.93/19.16  (assume a929 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 18.93/19.16  (assume a930 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) C)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) C))))))
% 18.93/19.16  (assume a931 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 18.93/19.16  (assume a932 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 18.93/19.16  (assume a933 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 18.93/19.16  (assume a934 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 18.93/19.16  (assume a935 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 18.93/19.16  (assume a936 (forall ((A tptp.set_int) (B tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)))))))
% 18.93/19.16  (assume a937 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 18.93/19.16  (assume a938 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))))
% 18.93/19.16  (assume a939 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))))
% 18.93/19.16  (assume a940 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))))
% 18.93/19.16  (assume a941 (forall ((Z tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X2)) (=> (forall ((W tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 18.93/19.16  (assume a942 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X2)) (=> (forall ((W tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) W))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 18.93/19.16  (assume a943 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (=> (forall ((W tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W) Y)) (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 Y) Z))))))
% 18.93/19.16  (assume a944 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (=> (forall ((W tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W) Y)) (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 Y) Z))))))
% 18.93/19.16  (assume a945 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (= A B)))))
% 18.93/19.16  (assume a946 (forall ((B tptp.set_int) (A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) A)) (= A B)))))
% 18.93/19.16  (assume a947 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (= A B)))))
% 18.93/19.16  (assume a948 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (= A B)))))
% 18.93/19.16  (assume a949 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= A B)))))
% 18.93/19.16  (assume a950 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (= A B)))))
% 18.93/19.16  (assume a951 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (not (= A B))))))
% 18.93/19.16  (assume a952 (forall ((B tptp.set_int) (A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) A)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (not (= A B))))))
% 18.93/19.16  (assume a953 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (= A B))))))
% 18.93/19.16  (assume a954 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (= A B))))))
% 18.93/19.16  (assume a955 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (= A B))))))
% 18.93/19.16  (assume a956 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (= A B))))))
% 18.93/19.16  (assume a957 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 18.93/19.16  (assume a958 (forall ((B tptp.set_int) (A tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int C) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int C) A))))))
% 18.93/19.16  (assume a959 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 18.93/19.16  (assume a960 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 18.93/19.16  (assume a961 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 18.93/19.16  (assume a962 (forall ((B 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 B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 18.93/19.16  (assume a963 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 18.93/19.16  (assume a964 (forall ((B tptp.set_int) (A tptp.set_int) (C tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) A)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int C) A))))))
% 18.93/19.16  (assume a965 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 18.93/19.16  (assume a966 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 18.93/19.16  (assume a967 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 18.93/19.16  (assume a968 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 18.93/19.16  (assume a969 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))))
% 18.93/19.16  (assume a970 (forall ((B tptp.set_int) (A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) A)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)))))))
% 18.93/19.16  (assume a971 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))))
% 18.93/19.16  (assume a972 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)))))))
% 18.93/19.16  (assume a973 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))))
% 18.93/19.16  (assume a974 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))))
% 18.93/19.16  (assume a975 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 18.93/19.16  (assume a976 (forall ((A tptp.set_int) (B tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)))))
% 18.93/19.16  (assume a977 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 18.93/19.16  (assume a978 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)))))
% 18.93/19.16  (assume a979 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 18.93/19.16  (assume a980 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 18.93/19.16  (assume a981 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))
% 18.93/19.16  (assume a982 (forall ((B tptp.set_int) (A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) A)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) A)))))
% 18.93/19.16  (assume a983 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 18.93/19.16  (assume a984 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))
% 18.93/19.16  (assume a985 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))
% 18.93/19.16  (assume a986 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 18.93/19.16  (assume a987 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a988 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a989 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a990 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a991 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a992 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a993 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a994 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a995 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a996 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a997 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a998 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (not (= X2 Y))))))
% 18.93/19.16  (assume a999 (forall ((X2 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))
% 18.93/19.16  (assume a1000 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2)))))
% 18.93/19.16  (assume a1001 (forall ((X2 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2)))))
% 18.93/19.16  (assume a1002 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2)))))
% 18.93/19.16  (assume a1003 (forall ((X2 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2)))))
% 18.93/19.16  (assume a1004 (forall ((X2 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X2)))))
% 18.93/19.16  (assume a1005 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)))))
% 18.93/19.16  (assume a1006 (forall ((X2 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)))))
% 18.93/19.16  (assume a1007 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))
% 18.93/19.16  (assume a1008 (forall ((X2 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)))))
% 18.93/19.16  (assume a1009 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))
% 18.93/19.16  (assume a1010 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)))))
% 18.93/19.16  (assume a1011 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 18.93/19.16  (assume a1012 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)))))
% 18.93/19.16  (assume a1013 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)))))
% 18.93/19.16  (assume a1014 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)))))
% 18.93/19.16  (assume a1015 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a1016 (forall ((A tptp.set_int) (B tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B))))))
% 18.93/19.16  (assume a1017 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a1018 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 18.93/19.16  (assume a1019 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 18.93/19.16  (assume a1020 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 18.93/19.16  (assume a1021 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a1022 (forall ((A tptp.set_int) (B tptp.set_int)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) B))))))
% 18.93/19.16  (assume a1023 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a1024 (forall ((A tptp.num) (B tptp.num)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 18.93/19.16  (assume a1025 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 18.93/19.16  (assume a1026 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 18.93/19.16  (assume a1027 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1028 (forall ((X2 tptp.set_int) (Y tptp.set_int) (Z tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int Y) Z)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Z))))))
% 18.93/19.16  (assume a1029 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1030 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1031 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1032 (forall ((X2 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 X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1033 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1034 (forall ((X2 tptp.set_int) (Y tptp.set_int) (Z tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) Z)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Z))))))
% 18.93/19.16  (assume a1035 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1036 (forall ((X2 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1037 (forall ((X2 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1038 (forall ((X2 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) 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 X2) Z))))))
% 18.93/19.16  (assume a1039 (forall ((A tptp.real) (F tptp.fun_real_real) (B 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 B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 18.93/19.16  (assume a1040 (forall ((A tptp.real) (F tptp.fun_rat_real) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 18.93/19.16  (assume a1041 (forall ((A tptp.real) (F tptp.fun_num_real) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X4)) (tptp.aa_num_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 18.93/19.16  (assume a1042 (forall ((A tptp.real) (F tptp.fun_nat_real) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X4)) (tptp.aa_nat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 18.93/19.16  (assume a1043 (forall ((A tptp.real) (F tptp.fun_int_real) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X4)) (tptp.aa_int_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 18.93/19.16  (assume a1044 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 18.93/19.16  (assume a1045 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a1046 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 18.93/19.16  (assume a1047 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 18.93/19.16  (assume a1048 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 18.93/19.16  (assume a1049 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 18.93/19.16  (assume a1050 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a1051 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 18.93/19.16  (assume a1052 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 18.93/19.16  (assume a1053 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 18.93/19.16  (assume a1054 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X4)) (tptp.aa_num_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 18.93/19.16  (assume a1055 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 18.93/19.16  (assume a1056 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F A)) C)))))))
% 18.93/19.16  (assume a1057 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F A)) C)))))))
% 18.93/19.16  (assume a1058 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X4)) (tptp.aa_num_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F A)) C)))))))
% 18.93/19.16  (assume a1059 (forall ((A tptp.real) (F tptp.fun_rat_real) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 18.93/19.16  (assume a1060 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 18.93/19.16  (assume a1061 (forall ((A tptp.num) (F tptp.fun_rat_num) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X4)) (tptp.aa_rat_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 18.93/19.16  (assume a1062 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X4)) (tptp.aa_rat_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 18.93/19.16  (assume a1063 (forall ((A tptp.int) (F tptp.fun_rat_int) (B 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 B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X4)) (tptp.aa_rat_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 18.93/19.16  (assume a1064 (forall ((A tptp.real) (F tptp.fun_num_real) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X4)) (tptp.aa_num_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 18.93/19.16  (assume a1065 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 18.93/19.16  (assume a1066 (forall ((A tptp.num) (F tptp.fun_num_num) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X4)) (tptp.aa_num_num F Y2))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F C))))))))
% 18.93/19.16  (assume a1067 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X4)) (tptp.aa_num_nat F Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F C))))))))
% 18.93/19.16  (assume a1068 (forall ((A tptp.int) (F tptp.fun_num_int) (B 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 B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X4)) (tptp.aa_num_int F Y2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F C))))))))
% 18.93/19.16  (assume a1069 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 18.93/19.16  (assume a1070 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X4)) (tptp.aa_rat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 18.93/19.16  (assume a1071 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X4)) (tptp.aa_num_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 18.93/19.16  (assume a1072 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F B)) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X4)) (tptp.aa_nat_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F A)) C)))))))
% 18.93/19.16  (assume a1073 (forall ((A tptp.int) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F B)) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X4)) (tptp.aa_int_real F Y2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F A)) C)))))))
% 18.93/19.16  (assume a1074 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F B)) C)) (=> (forall ((X4 tptp.real) (Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 18.93/19.16  (assume a1075 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X4 tptp.rat) (Y2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X4)) (tptp.aa_rat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 18.93/19.16  (assume a1076 (forall ((A tptp.num) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X4 tptp.num) (Y2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X4)) (tptp.aa_num_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 18.93/19.16  (assume a1077 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B)) C)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F A)) C)))))))
% 18.93/19.16  (assume a1078 (forall ((A tptp.int) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F B)) C)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat F Y2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F A)) C)))))))
% 18.93/19.16  (assume a1079 (forall ((X2 tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))
% 18.93/19.16  (assume a1080 (forall ((X2 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2)))))
% 18.93/19.16  (assume a1081 (forall ((X2 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X2)))))
% 18.93/19.16  (assume a1082 (forall ((X2 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X2)))))
% 18.93/19.16  (assume a1083 (forall ((X2 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2)))))
% 18.93/19.16  (assume a1084 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1085 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1086 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1087 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1088 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1089 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y)) (= X2 Y)))))
% 18.93/19.16  (assume a1090 (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))))
% 18.93/19.16  (assume a1091 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 18.93/19.16  (assume a1092 (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))))
% 18.93/19.16  (assume a1093 (forall ((X2 tptp.real) (Y tptp.real)) (=> (forall ((E tptp.real)) (=> (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 (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) E))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))
% 18.93/19.16  (assume a1094 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (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)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) (tptp.aa_rat_rat (tptp.plus_plus_rat Y) E))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 18.93/19.16  (assume a1095 (forall ((X2 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 X2) Y)) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1096 (forall ((X2 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.plus_plus_rat X2) Y)) tptp.zero_zero_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) 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))))))
% 18.93/19.16  (assume a1097 (forall ((X2 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 X2) Y)) tptp.zero_zero_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) 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))))))
% 18.93/19.16  (assume a1098 (forall ((N tptp.nat)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_buildup N)) tptp.bot_bot_set_nat)))
% 18.93/19.16  (assume a1099 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)))))
% 18.93/19.16  (assume a1100 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) B2)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)))))
% 18.93/19.16  (assume a1101 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) B2)))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)))))
% 18.93/19.16  (assume a1102 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B2)))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))
% 18.93/19.16  (assume a1103 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B2)))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))
% 18.93/19.16  (assume a1104 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (not (= A2 B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2))))))
% 18.93/19.16  (assume a1105 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (= A2 B2)))))
% 18.93/19.16  (assume a1106 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.vEBT_VEBT_set_vebt T))))))
% 18.93/19.16  (assume a1107 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)))) (=> (forall ((A3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) tptp.zero_zero_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A3) B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B)))))))
% 18.93/19.16  (assume a1108 (forall ((B tptp.complex) (A tptp.complex)) (= (= B (tptp.aa_complex_complex (tptp.plus_plus_complex B) A)) (= A tptp.zero_zero_complex))))
% 18.93/19.16  (assume a1109 (forall ((B tptp.real) (A tptp.real)) (= (= B (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A)) (= A tptp.zero_zero_real))))
% 18.93/19.16  (assume a1110 (forall ((B tptp.rat) (A tptp.rat)) (= (= B (tptp.aa_rat_rat (tptp.plus_plus_rat B) A)) (= A tptp.zero_zero_rat))))
% 18.93/19.16  (assume a1111 (forall ((B tptp.nat) (A tptp.nat)) (= (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) (= A tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1112 (forall ((B tptp.int) (A tptp.int)) (= (= B (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) (= A tptp.zero_zero_int))))
% 18.93/19.16  (assume a1113 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 18.93/19.16  (assume a1114 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 18.93/19.16  (assume a1115 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 18.93/19.16  (assume a1116 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.16  (assume a1117 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 18.93/19.16  (assume a1118 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.zero_zero_real))))
% 18.93/19.16  (assume a1119 (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))))
% 18.93/19.16  (assume a1120 (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))))
% 18.93/19.16  (assume a1121 (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))))
% 18.93/19.16  (assume a1122 (forall ((P tptp.fun_list_nat_bool)) (= (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat P)) (forall ((X3 tptp.list_nat)) (not (tptp.pp (tptp.aa_list_nat_bool P X3)))))))
% 18.93/19.16  (assume a1123 (forall ((P tptp.fun_set_nat_bool)) (= (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat P)) (forall ((X3 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool P X3)))))))
% 18.93/19.16  (assume a1124 (forall ((P tptp.fun_real_bool)) (= (= tptp.bot_bot_set_real (tptp.collect_real P)) (forall ((X3 tptp.real)) (not (tptp.pp (tptp.aa_real_bool P X3)))))))
% 18.93/19.16  (assume a1125 (forall ((P tptp.fun_nat_bool)) (= (= tptp.bot_bot_set_nat (tptp.collect_nat P)) (forall ((X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 18.93/19.16  (assume a1126 (forall ((P tptp.fun_int_bool)) (= (= tptp.bot_bot_set_int (tptp.collect_int P)) (forall ((X3 tptp.int)) (not (tptp.pp (tptp.aa_int_bool P X3)))))))
% 18.93/19.16  (assume a1127 (forall ((P tptp.fun_list_nat_bool)) (= (= (tptp.collect_list_nat P) tptp.bot_bot_set_list_nat) (forall ((X3 tptp.list_nat)) (not (tptp.pp (tptp.aa_list_nat_bool P X3)))))))
% 18.93/19.16  (assume a1128 (forall ((P tptp.fun_set_nat_bool)) (= (= (tptp.collect_set_nat P) tptp.bot_bot_set_set_nat) (forall ((X3 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool P X3)))))))
% 18.93/19.16  (assume a1129 (forall ((P tptp.fun_real_bool)) (= (= (tptp.collect_real P) tptp.bot_bot_set_real) (forall ((X3 tptp.real)) (not (tptp.pp (tptp.aa_real_bool P X3)))))))
% 18.93/19.16  (assume a1130 (forall ((P tptp.fun_nat_bool)) (= (= (tptp.collect_nat P) tptp.bot_bot_set_nat) (forall ((X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 18.93/19.16  (assume a1131 (forall ((P tptp.fun_int_bool)) (= (= (tptp.collect_int P) tptp.bot_bot_set_int) (forall ((X3 tptp.int)) (not (tptp.pp (tptp.aa_int_bool P X3)))))))
% 18.93/19.16  (assume a1132 (forall ((A2 tptp.set_VEBT_VEBT)) (= (forall ((X3 tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2)))) (= A2 tptp.bot_bo8194388402131092736T_VEBT))))
% 18.93/19.16  (assume a1133 (forall ((A2 tptp.set_set_nat)) (= (forall ((X3 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) A2)))) (= A2 tptp.bot_bot_set_set_nat))))
% 18.93/19.16  (assume a1134 (forall ((A2 tptp.set_real)) (= (forall ((X3 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)))) (= A2 tptp.bot_bot_set_real))))
% 18.93/19.16  (assume a1135 (forall ((A2 tptp.set_nat)) (= (forall ((X3 tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)))) (= A2 tptp.bot_bot_set_nat))))
% 18.93/19.16  (assume a1136 (forall ((A2 tptp.set_int)) (= (forall ((X3 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)))) (= A2 tptp.bot_bot_set_int))))
% 18.93/19.16  (assume a1137 (forall ((C tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) tptp.bot_bo8194388402131092736T_VEBT)))))
% 18.93/19.16  (assume a1138 (forall ((C tptp.set_nat)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) tptp.bot_bot_set_set_nat)))))
% 18.93/19.16  (assume a1139 (forall ((C tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1140 (forall ((C tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1141 (forall ((C tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1142 (forall ((A2 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A2))))
% 18.93/19.16  (assume a1143 (forall ((A2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A2))))
% 18.93/19.16  (assume a1144 (forall ((A2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A2))))
% 18.93/19.16  (assume a1145 (forall ((A2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) tptp.bot_bot_set_real)) (= A2 tptp.bot_bot_set_real))))
% 18.93/19.16  (assume a1146 (forall ((A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) tptp.bot_bot_set_nat)) (= A2 tptp.bot_bot_set_nat))))
% 18.93/19.16  (assume a1147 (forall ((A2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) tptp.bot_bot_set_int)) (= A2 tptp.bot_bot_set_int))))
% 18.93/19.16  (assume a1148 (forall ((Xs tptp.list_VEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.set_VEBT_VEBT2 Xs)))))
% 18.93/19.16  (assume a1149 (forall ((Xs tptp.list_nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_nat2 Xs)))))
% 18.93/19.16  (assume a1150 (forall ((Xs tptp.list_int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_int2 Xs)))))
% 18.93/19.16  (assume a1151 (forall ((Xs tptp.list_complex)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.set_complex2 Xs)))))
% 18.93/19.16  (assume a1152 (forall ((A2 tptp.set_VEBT_VEBT)) (= (exists ((X3 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2))) (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)))))
% 18.93/19.16  (assume a1153 (forall ((A2 tptp.set_set_nat)) (= (exists ((X3 tptp.set_nat)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) A2))) (not (= A2 tptp.bot_bot_set_set_nat)))))
% 18.93/19.16  (assume a1154 (forall ((A2 tptp.set_real)) (= (exists ((X3 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2))) (not (= A2 tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1155 (forall ((A2 tptp.set_nat)) (= (exists ((X3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2))) (not (= A2 tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1156 (forall ((A2 tptp.set_int)) (= (exists ((X3 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2))) (not (= A2 tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1157 (forall ((A2 tptp.set_VEBT_VEBT)) (=> (forall ((Y2 tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y2) A2)))) (= A2 tptp.bot_bo8194388402131092736T_VEBT))))
% 18.93/19.16  (assume a1158 (forall ((A2 tptp.set_set_nat)) (=> (forall ((Y2 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Y2) A2)))) (= A2 tptp.bot_bot_set_set_nat))))
% 18.93/19.16  (assume a1159 (forall ((A2 tptp.set_real)) (=> (forall ((Y2 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y2) A2)))) (= A2 tptp.bot_bot_set_real))))
% 18.93/19.16  (assume a1160 (forall ((A2 tptp.set_nat)) (=> (forall ((Y2 tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y2) A2)))) (= A2 tptp.bot_bot_set_nat))))
% 18.93/19.16  (assume a1161 (forall ((A2 tptp.set_int)) (=> (forall ((Y2 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y2) A2)))) (= A2 tptp.bot_bot_set_int))))
% 18.93/19.16  (assume a1162 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT)) (=> (= A2 tptp.bot_bo8194388402131092736T_VEBT) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))))))
% 18.93/19.16  (assume a1163 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (= A2 tptp.bot_bot_set_set_nat) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2))))))
% 18.93/19.16  (assume a1164 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (= A2 tptp.bot_bot_set_real) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))))))
% 18.93/19.16  (assume a1165 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (= A2 tptp.bot_bot_set_nat) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))))))
% 18.93/19.16  (assume a1166 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (= A2 tptp.bot_bot_set_int) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))))))
% 18.93/19.16  (assume a1167 (forall ((A tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) tptp.bot_bo8194388402131092736T_VEBT)))))
% 18.93/19.16  (assume a1168 (forall ((A tptp.set_nat)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) tptp.bot_bot_set_set_nat)))))
% 18.93/19.16  (assume a1169 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1170 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1171 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1172 (forall ((A2 tptp.set_real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1173 (forall ((A2 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1174 (forall ((A2 tptp.set_int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1175 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2))))))
% 18.93/19.16  (assume a1176 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (C tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2))))))
% 18.93/19.16  (assume a1177 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2))))))
% 18.93/19.16  (assume a1178 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2))))))
% 18.93/19.16  (assume a1179 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2))))))
% 18.93/19.16  (assume a1180 (forall ((S2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (not (exists ((Xa tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Xa) X4)))))))))))
% 18.93/19.16  (assume a1181 (forall ((S2 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat S2)) (=> (not (= S2 tptp.bot_bot_set_rat)) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) S2)) (not (exists ((Xa tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Xa) X4)))))))))))
% 18.93/19.16  (assume a1182 (forall ((S2 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num S2)) (=> (not (= S2 tptp.bot_bot_set_num)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) S2)) (not (exists ((Xa tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Xa) X4)))))))))))
% 18.93/19.16  (assume a1183 (forall ((S2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (not (= S2 tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (not (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) X4)))))))))))
% 18.93/19.16  (assume a1184 (forall ((S2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (not (= S2 tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (not (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) S2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Xa) X4)))))))))))
% 18.93/19.16  (assume a1185 (forall ((X6 tptp.set_real)) (=> (not (= X6 tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) X6)) (exists ((Xa tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) X6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Xa)))))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real X6)))))))
% 18.93/19.16  (assume a1186 (forall ((X6 tptp.set_rat)) (=> (not (= X6 tptp.bot_bot_set_rat)) (=> (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) X6)) (exists ((Xa tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) X6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Xa)))))) (not (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat X6)))))))
% 18.93/19.16  (assume a1187 (forall ((X6 tptp.set_num)) (=> (not (= X6 tptp.bot_bot_set_num)) (=> (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) X6)) (exists ((Xa tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) X6)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Xa)))))) (not (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num X6)))))))
% 18.93/19.16  (assume a1188 (forall ((X6 tptp.set_nat)) (=> (not (= X6 tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) X6)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) X6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Xa)))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat X6)))))))
% 18.93/19.16  (assume a1189 (forall ((X6 tptp.set_int)) (=> (not (= X6 tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) X6)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) X6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Xa)))))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int X6)))))))
% 18.93/19.16  (assume a1190 (forall ((A tptp.filter_nat)) (=> (tptp.ord_le2510731241096832064er_nat A tptp.bot_bot_filter_nat) (= A tptp.bot_bot_filter_nat))))
% 18.93/19.16  (assume a1191 (forall ((A tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) tptp.bot_bot_set_real)) (= A tptp.bot_bot_set_real))))
% 18.93/19.16  (assume a1192 (forall ((A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 18.93/19.16  (assume a1193 (forall ((A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int)) (= A tptp.bot_bot_set_int))))
% 18.93/19.16  (assume a1194 (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))))
% 18.93/19.16  (assume a1195 (forall ((A tptp.filter_nat)) (= (tptp.ord_le2510731241096832064er_nat A tptp.bot_bot_filter_nat) (= A tptp.bot_bot_filter_nat))))
% 18.93/19.16  (assume a1196 (forall ((A tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) tptp.bot_bot_set_real)) (= A tptp.bot_bot_set_real))))
% 18.93/19.16  (assume a1197 (forall ((A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 18.93/19.16  (assume a1198 (forall ((A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int)) (= A tptp.bot_bot_set_int))))
% 18.93/19.16  (assume a1199 (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))))
% 18.93/19.16  (assume a1200 (forall ((A tptp.filter_nat)) (tptp.ord_le2510731241096832064er_nat tptp.bot_bot_filter_nat A)))
% 18.93/19.16  (assume a1201 (forall ((A tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A))))
% 18.93/19.16  (assume a1202 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A))))
% 18.93/19.16  (assume a1203 (forall ((A tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A))))
% 18.93/19.16  (assume a1204 (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))))
% 18.93/19.16  (assume a1205 (forall ((A tptp.filter_nat)) (= (not (= A tptp.bot_bot_filter_nat)) (tptp.ord_less_filter_nat tptp.bot_bot_filter_nat A))))
% 18.93/19.16  (assume a1206 (forall ((A tptp.set_real)) (= (not (= A tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real tptp.bot_bot_set_real) A)))))
% 18.93/19.16  (assume a1207 (forall ((A tptp.set_nat)) (= (not (= A tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat tptp.bot_bot_set_nat) A)))))
% 18.93/19.16  (assume a1208 (forall ((A tptp.set_int)) (= (not (= A tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int tptp.bot_bot_set_int) A)))))
% 18.93/19.16  (assume a1209 (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)))))
% 18.93/19.16  (assume a1210 (forall ((A tptp.filter_nat)) (not (tptp.ord_less_filter_nat A tptp.bot_bot_filter_nat))))
% 18.93/19.16  (assume a1211 (forall ((A tptp.set_real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1212 (forall ((A tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A) tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1213 (forall ((A tptp.set_int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1214 (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)))))
% 18.93/19.16  (assume a1215 (forall ((A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 Xs2) A2)))))
% 18.93/19.16  (assume a1216 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (exists ((Xs2 tptp.list_nat)) (= (tptp.set_nat2 Xs2) A2)))))
% 18.93/19.16  (assume a1217 (forall ((A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (exists ((Xs2 tptp.list_int)) (= (tptp.set_int2 Xs2) A2)))))
% 18.93/19.16  (assume a1218 (forall ((A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (exists ((Xs2 tptp.list_complex)) (= (tptp.set_complex2 Xs2) A2)))))
% 18.93/19.16  (assume a1219 (forall ((A tptp.rat) (B tptp.rat)) (or (= A B) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 18.93/19.16  (assume a1220 (forall ((A tptp.num) (B tptp.num)) (or (= A B) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A))))))
% 18.93/19.16  (assume a1221 (forall ((A tptp.nat) (B tptp.nat)) (or (= A B) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A))))))
% 18.93/19.16  (assume a1222 (forall ((A tptp.int) (B tptp.int)) (or (= A B) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 18.93/19.16  (assume a1223 (forall ((A tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) A))))
% 18.93/19.16  (assume a1224 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 18.93/19.16  (assume a1225 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 18.93/19.16  (assume a1226 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 18.93/19.16  (assume a1227 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 18.93/19.16  (assume a1228 (forall ((X2 tptp.real) (Y tptp.real)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2))))))
% 18.93/19.16  (assume a1229 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X2))))))
% 18.93/19.16  (assume a1230 (forall ((X2 tptp.int) (Y tptp.int)) (=> (not (= X2 Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X2))))))
% 18.93/19.16  (assume a1231 (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)))))
% 18.93/19.16  (assume a1232 (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)))))
% 18.93/19.16  (assume a1233 (forall ((X tptp.real)) (exists ((Y2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) X)))))
% 18.93/19.16  (assume a1234 (forall ((X tptp.rat)) (exists ((Y2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y2) X)))))
% 18.93/19.16  (assume a1235 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 18.93/19.16  (assume a1236 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) A)))))
% 18.93/19.16  (assume a1237 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 18.93/19.16  (assume a1238 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 18.93/19.16  (assume a1239 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 18.93/19.16  (assume a1240 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a1241 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)))))
% 18.93/19.16  (assume a1242 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a1243 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (= A2 B2)))))
% 18.93/19.16  (assume a1244 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B2) C4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) C4))))))
% 18.93/19.16  (assume a1245 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)))))))
% 18.93/19.16  (assume a1246 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) C4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) C4))))))
% 18.93/19.16  (assume a1247 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))
% 18.93/19.16  (assume a1248 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real P)) (tptp.collect_real Q))) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool Q X3)))))))
% 18.93/19.16  (assume a1249 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)) (forall ((X3 tptp.list_nat)) (=> (tptp.pp (tptp.aa_list_nat_bool P X3)) (tptp.pp (tptp.aa_list_nat_bool Q X3)))))))
% 18.93/19.16  (assume a1250 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat P)) (tptp.collect_set_nat Q))) (forall ((X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P X3)) (tptp.pp (tptp.aa_set_nat_bool Q X3)))))))
% 18.93/19.16  (assume a1251 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool Q X3)))))))
% 18.93/19.16  (assume a1252 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int P)) (tptp.collect_int Q))) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool Q X3)))))))
% 18.93/19.16  (assume a1253 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (= A2 B2) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2))))))
% 18.93/19.16  (assume a1254 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) C4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) C4))))))
% 18.93/19.16  (assume a1255 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4)))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real P)) (tptp.collect_real Q))))))
% 18.93/19.16  (assume a1256 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (forall ((X4 tptp.list_nat)) (=> (tptp.pp (tptp.aa_list_nat_bool P X4)) (tptp.pp (tptp.aa_list_nat_bool Q X4)))) (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 18.93/19.16  (assume a1257 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P X4)) (tptp.pp (tptp.aa_set_nat_bool Q X4)))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat P)) (tptp.collect_set_nat Q))))))
% 18.93/19.16  (assume a1258 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q))))))
% 18.93/19.16  (assume a1259 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4)))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int P)) (tptp.collect_int Q))))))
% 18.93/19.16  (assume a1260 (forall ((A2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) A2))))
% 18.93/19.16  (assume a1261 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (forall ((T2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat T2) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat T2) B2)))))))
% 18.93/19.16  (assume a1262 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (forall ((T2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT T2) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT T2) B2)))))))
% 18.93/19.16  (assume a1263 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)) (forall ((T2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat T2) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat T2) B2)))))))
% 18.93/19.16  (assume a1264 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (forall ((T2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real T2) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real T2) B2)))))))
% 18.93/19.16  (assume a1265 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (forall ((T2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T2) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T2) B2)))))))
% 18.93/19.16  (assume a1266 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (not (= A2 B2))))))
% 18.93/19.16  (assume a1267 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)))))
% 18.93/19.16  (assume a1268 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))
% 18.93/19.16  (assume a1269 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B2)))))))
% 18.93/19.16  (assume a1270 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) B2)))))))
% 18.93/19.16  (assume a1271 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)) (forall ((X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X3) B2)))))))
% 18.93/19.16  (assume a1272 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B2)))))))
% 18.93/19.16  (assume a1273 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B2)))))))
% 18.93/19.16  (assume a1274 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (= A2 B2) (not (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2))))))))
% 18.93/19.16  (assume a1275 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (not (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)))))))
% 18.93/19.16  (assume a1276 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2))))))
% 18.93/19.16  (assume a1277 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (C tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2))))))
% 18.93/19.16  (assume a1278 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2))))))
% 18.93/19.16  (assume a1279 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2))))))
% 18.93/19.16  (assume a1280 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2))))))
% 18.93/19.16  (assume a1281 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2))))))
% 18.93/19.16  (assume a1282 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2))))))
% 18.93/19.16  (assume a1283 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat) (X2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2))))))
% 18.93/19.16  (assume a1284 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2))))))
% 18.93/19.16  (assume a1285 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2))))))
% 18.93/19.16  (assume a1286 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)))
% 18.93/19.16  (assume a1287 (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)))
% 18.93/19.16  (assume a1288 (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)))
% 18.93/19.16  (assume a1289 (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)))
% 18.93/19.16  (assume a1290 (forall ((B4 tptp.real) (A4 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B4) A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A4) B4)))))
% 18.93/19.16  (assume a1291 (forall ((B4 tptp.rat) (A4 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B4) A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A4) B4)))))
% 18.93/19.16  (assume a1292 (forall ((B4 tptp.num) (A4 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B4) A4))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A4) B4)))))
% 18.93/19.16  (assume a1293 (forall ((B4 tptp.nat) (A4 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B4) A4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A4) B4)))))
% 18.93/19.16  (assume a1294 (forall ((B4 tptp.int) (A4 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B4) A4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A4) B4)))))
% 18.93/19.16  (assume a1295 (forall ((A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= A2 tptp.bot_bot_set_real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1296 (forall ((A2 tptp.set_set_int)) (=> (tptp.finite6197958912794628473et_int A2) (=> (not (= A2 tptp.bot_bot_set_set_int)) (exists ((X4 tptp.set_int)) (and (tptp.member_set_int X4 A2) (forall ((Xa tptp.set_int)) (=> (tptp.member_set_int Xa A2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1297 (forall ((A2 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (not (= A2 tptp.bot_bot_set_rat)) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) A2)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1298 (forall ((A2 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (not (= A2 tptp.bot_bot_set_num)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) A2)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1299 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= A2 tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1300 (forall ((A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= A2 tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1301 (forall ((A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= A2 tptp.bot_bot_set_real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1302 (forall ((A2 tptp.set_set_int)) (=> (tptp.finite6197958912794628473et_int A2) (=> (not (= A2 tptp.bot_bot_set_set_int)) (exists ((X4 tptp.set_int)) (and (tptp.member_set_int X4 A2) (forall ((Xa tptp.set_int)) (=> (tptp.member_set_int Xa A2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1303 (forall ((A2 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (not (= A2 tptp.bot_bot_set_rat)) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) A2)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1304 (forall ((A2 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (not (= A2 tptp.bot_bot_set_num)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) A2)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1305 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= A2 tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1306 (forall ((A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= A2 tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1307 (forall ((N4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (exists ((M4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) M4))))))))
% 18.93/19.16  (assume a1308 (forall ((S2 tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (forall ((M4 tptp.nat)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) S2))))))))
% 18.93/19.16  (assume a1309 (forall ((N4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (exists ((M4 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) M4))))))))
% 18.93/19.16  (assume a1310 (forall ((S2 tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (forall ((M4 tptp.nat)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) S2))))))))
% 18.93/19.16  (assume a1311 (forall ((N4 tptp.set_nat) (N tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) N)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)))))
% 18.93/19.16  (assume a1312 (forall ((K tptp.nat) (S2 tptp.set_nat)) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) M3)) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N5) S2)))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))))))
% 18.93/19.16  (assume a1313 (forall ((A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (forall ((B5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat B5) A5)) (tptp.pp (tptp.aa_set_nat_bool P B5)))) (tptp.pp (tptp.aa_set_nat_bool P A5))))) (tptp.pp (tptp.aa_set_nat_bool P A2))))))
% 18.93/19.16  (assume a1314 (forall ((A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (forall ((B5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B5) A5)) (tptp.pp (tptp.aa_set_int_bool P B5)))) (tptp.pp (tptp.aa_set_int_bool P A5))))) (tptp.pp (tptp.aa_set_int_bool P A2))))))
% 18.93/19.16  (assume a1315 (forall ((A2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((A5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5)) (=> (forall ((B5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex B5) A5)) (tptp.pp (tptp.aa_set_complex_bool P B5)))) (tptp.pp (tptp.aa_set_complex_bool P A5))))) (tptp.pp (tptp.aa_set_complex_bool P A2))))))
% 18.93/19.16  (assume a1316 (forall ((S2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (not (= S2 tptp.bot_bot_set_complex)) (not (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X)) (tptp.aa_complex_real F (tptp.lattic8794016678065449205x_real F S2)))))))))))
% 18.93/19.16  (assume a1317 (forall ((S2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (not (exists ((X tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) S2)) (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.lattic8440615504127631091l_real F S2)))))))))))
% 18.93/19.16  (assume a1318 (forall ((S2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (not (= S2 tptp.bot_bot_set_nat)) (not (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X)) (tptp.aa_nat_real F (tptp.aa_set_nat_nat (tptp.lattic488527866317076247t_real F) S2)))))))))))
% 18.93/19.16  (assume a1319 (forall ((S2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (not (= S2 tptp.bot_bot_set_int)) (not (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X)) (tptp.aa_int_real F (tptp.lattic2675449441010098035t_real F S2)))))))))))
% 18.93/19.16  (assume a1320 (forall ((S2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (not (= S2 tptp.bot_bot_set_complex)) (not (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F X)) (tptp.aa_complex_rat F (tptp.lattic4729654577720512673ex_rat F S2)))))))))))
% 18.93/19.16  (assume a1321 (forall ((S2 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (not (exists ((X tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X)) (tptp.aa_real_rat F (tptp.lattic4420706379359479199al_rat F S2)))))))))))
% 18.93/19.16  (assume a1322 (forall ((S2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (not (= S2 tptp.bot_bot_set_nat)) (not (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X)) (tptp.aa_nat_rat F (tptp.aa_set_nat_nat (tptp.lattic6811802900495863747at_rat F) S2)))))))))))
% 18.93/19.16  (assume a1323 (forall ((S2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (not (= S2 tptp.bot_bot_set_int)) (not (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X)) (tptp.aa_int_rat F (tptp.lattic7811156612396918303nt_rat F S2)))))))))))
% 18.93/19.16  (assume a1324 (forall ((S2 tptp.set_complex) (F tptp.fun_complex_num)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (not (= S2 tptp.bot_bot_set_complex)) (not (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_complex_num F X)) (tptp.aa_complex_num F (tptp.lattic1922116423962787043ex_num F S2)))))))))))
% 18.93/19.16  (assume a1325 (forall ((S2 tptp.set_real) (F tptp.fun_real_num)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (not (exists ((X tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X)) (tptp.aa_real_num F (tptp.lattic1613168225601753569al_num F S2)))))))))))
% 18.93/19.16  (assume a1326 (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat tptp.bot_bo6469247547558333820t_bool)))
% 18.93/19.16  (assume a1327 (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat tptp.bot_bo8343409700046576086t_bool)))
% 18.93/19.16  (assume a1328 (= tptp.bot_bot_set_real (tptp.collect_real tptp.bot_bo4181092155253064880l_bool)))
% 18.93/19.16  (assume a1329 (= tptp.bot_bot_set_nat (tptp.collect_nat tptp.bot_bot_fun_nat_bool)))
% 18.93/19.16  (assume a1330 (= tptp.bot_bot_set_int (tptp.collect_int tptp.bot_bot_fun_int_bool)))
% 18.93/19.16  (assume a1331 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 18.93/19.16  (assume a1332 (forall ((M5 tptp.set_list_VEBT_VEBT)) (=> (tptp.finite3004134309566078307T_VEBT M5) (exists ((N2 tptp.nat)) (forall ((X tptp.list_VEBT_VEBT)) (=> (tptp.member2936631157270082147T_VEBT X M5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT X)) N2))))))))
% 18.93/19.16  (assume a1333 (forall ((M5 tptp.set_list_bool)) (=> (tptp.finite7866827932528546246t_bool M5) (exists ((N2 tptp.nat)) (forall ((X tptp.list_bool)) (=> (tptp.member_list_bool X M5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool X)) N2))))))))
% 18.93/19.16  (assume a1334 (forall ((M5 tptp.set_list_nat)) (=> (tptp.finite8100373058378681591st_nat M5) (exists ((N2 tptp.nat)) (forall ((X tptp.list_nat)) (=> (tptp.member_list_nat X M5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat X)) N2))))))))
% 18.93/19.16  (assume a1335 (forall ((M5 tptp.set_list_int)) (=> (tptp.finite3922522038869484883st_int M5) (exists ((N2 tptp.nat)) (forall ((X tptp.list_int)) (=> (tptp.member_list_int X M5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int X)) N2))))))))
% 18.93/19.16  (assume a1336 (forall ((P tptp.fun_nat_bool) (X2 tptp.nat) (M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X2)) (=> (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) M5)))) (not (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P M3)) (not (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) M3))))))))))))
% 18.93/19.16  (assume a1337 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (exists ((X4 tptp.set_nat)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A) X4)) (forall ((Xa tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Xa) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1338 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X4)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1339 (forall ((A2 tptp.set_set_int) (A tptp.set_int)) (=> (tptp.finite6197958912794628473et_int A2) (=> (tptp.member_set_int A A2) (exists ((X4 tptp.set_int)) (and (tptp.member_set_int X4 A2) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) X4)) (forall ((Xa tptp.set_int)) (=> (tptp.member_set_int Xa A2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1340 (forall ((A2 tptp.set_rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat A) A2)) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) X4)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1341 (forall ((A2 tptp.set_num) (A tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num A) A2)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) A2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) X4)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1342 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X4)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1343 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X4)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Xa)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1344 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (exists ((X4 tptp.set_nat)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat X4) A)) (forall ((Xa tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Xa) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1345 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) A)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1346 (forall ((A2 tptp.set_set_int) (A tptp.set_int)) (=> (tptp.finite6197958912794628473et_int A2) (=> (tptp.member_set_int A A2) (exists ((X4 tptp.set_int)) (and (tptp.member_set_int X4 A2) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X4) A)) (forall ((Xa tptp.set_int)) (=> (tptp.member_set_int Xa A2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1347 (forall ((A2 tptp.set_rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat A) A2)) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) A)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1348 (forall ((A2 tptp.set_num) (A tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num A) A2)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) A2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) A)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1349 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) A)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1350 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) A)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Xa) X4)) (= X4 Xa))))))))))
% 18.93/19.16  (assume a1351 (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex tptp.bot_bot_set_complex)))
% 18.93/19.16  (assume a1352 (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real tptp.bot_bot_set_real)))
% 18.93/19.16  (assume a1353 (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat tptp.bot_bot_set_nat)))
% 18.93/19.16  (assume a1354 (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int tptp.bot_bot_set_int)))
% 18.93/19.16  (assume a1355 (forall ((S2 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2))) (not (= S2 tptp.bot_bot_set_complex)))))
% 18.93/19.16  (assume a1356 (forall ((S2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2))) (not (= S2 tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1357 (forall ((S2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (not (= S2 tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1358 (forall ((S2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (not (= S2 tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1359 (forall ((A2 tptp.set_VEBT_VEBT) (R tptp.fun_VE5877677516038742509T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool R X4) X4)))) (=> (forall ((X4 tptp.vEBT_VEBT) (Y2 tptp.vEBT_VEBT) (Z2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool R Y2) Z2)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool R X4) Z2))))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (exists ((Y3 tptp.vEBT_VEBT)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y3) A2)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool R X4) Y3)))))) (= A2 tptp.bot_bo8194388402131092736T_VEBT)))))))
% 18.93/19.16  (assume a1360 (forall ((A2 tptp.set_set_nat) (R tptp.fun_se707272970763642173t_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A2)) (=> (forall ((X4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool R X4) X4)))) (=> (forall ((X4 tptp.set_nat) (Y2 tptp.set_nat) (Z2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool R Y2) Z2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool R X4) Z2))))) (=> (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)) (exists ((Y3 tptp.set_nat)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Y3) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool R X4) Y3)))))) (= A2 tptp.bot_bot_set_set_nat)))))))
% 18.93/19.16  (assume a1361 (forall ((A2 tptp.set_complex) (R tptp.fun_co1378794544173401837x_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X4) X4)))) (=> (forall ((X4 tptp.complex) (Y2 tptp.complex) (Z2 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y2) Z2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X4) Z2))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (exists ((Y3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) A2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X4) Y3)))))) (= A2 tptp.bot_bot_set_complex)))))))
% 18.93/19.16  (assume a1362 (forall ((A2 tptp.set_real) (R tptp.fun_re1255401033344146673l_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (forall ((X4 tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X4) X4)))) (=> (forall ((X4 tptp.real) (Y2 tptp.real) (Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y2) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X4) Z2))))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (exists ((Y3 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X4) Y3)))))) (= A2 tptp.bot_bot_set_real)))))))
% 18.93/19.16  (assume a1363 (forall ((A2 tptp.set_nat) (R tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((X4 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) X4)))) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y2) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Z2))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (exists ((Y3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Y3)))))) (= A2 tptp.bot_bot_set_nat)))))))
% 18.93/19.16  (assume a1364 (forall ((A2 tptp.set_int) (R tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X4) X4)))) (=> (forall ((X4 tptp.int) (Y2 tptp.int) (Z2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y2) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X4) Z2))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (exists ((Y3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X4) Y3)))))) (= A2 tptp.bot_bot_set_int)))))))
% 18.93/19.16  (assume a1365 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))))))
% 18.93/19.16  (assume a1366 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))))))
% 18.93/19.16  (assume a1367 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))))))
% 18.93/19.16  (assume a1368 (forall ((S2 tptp.set_nat) (T3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)))))))
% 18.93/19.16  (assume a1369 (forall ((S2 tptp.set_complex) (T3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)))))))
% 18.93/19.16  (assume a1370 (forall ((S2 tptp.set_int) (T3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)))))))
% 18.93/19.16  (assume a1371 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))))))
% 18.93/19.16  (assume a1372 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))))))
% 18.93/19.16  (assume a1373 (forall ((B2 tptp.set_int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))))))
% 18.93/19.16  (assume a1374 (forall ((S2 tptp.set_VEBT_VEBT) (Y tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (=> (not (= S2 tptp.bot_bo8194388402131092736T_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F (tptp.lattic6139528642216935859BT_rat F S2))) (tptp.aa_VEBT_VEBT_rat F Y))))))))
% 18.93/19.16  (assume a1375 (forall ((S2 tptp.set_complex) (Y tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (not (= S2 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F (tptp.lattic4729654577720512673ex_rat F S2))) (tptp.aa_complex_rat F Y))))))))
% 18.93/19.16  (assume a1376 (forall ((S2 tptp.set_real) (Y tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F (tptp.lattic4420706379359479199al_rat F S2))) (tptp.aa_real_rat F Y))))))))
% 18.93/19.16  (assume a1377 (forall ((S2 tptp.set_nat) (Y tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (not (= S2 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F (tptp.aa_set_nat_nat (tptp.lattic6811802900495863747at_rat F) S2))) (tptp.aa_nat_rat F Y))))))))
% 18.93/19.16  (assume a1378 (forall ((S2 tptp.set_int) (Y tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (not (= S2 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F (tptp.lattic7811156612396918303nt_rat F S2))) (tptp.aa_int_rat F Y))))))))
% 18.93/19.16  (assume a1379 (forall ((S2 tptp.set_VEBT_VEBT) (Y tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_num)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (=> (not (= S2 tptp.bot_bo8194388402131092736T_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_VEBT_VEBT_num F (tptp.lattic3331990488459210229BT_num F S2))) (tptp.aa_VEBT_VEBT_num F Y))))))))
% 18.93/19.16  (assume a1380 (forall ((S2 tptp.set_complex) (Y tptp.complex) (F tptp.fun_complex_num)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (not (= S2 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_complex_num F (tptp.lattic1922116423962787043ex_num F S2))) (tptp.aa_complex_num F Y))))))))
% 18.93/19.16  (assume a1381 (forall ((S2 tptp.set_real) (Y tptp.real) (F tptp.fun_real_num)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (not (= S2 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_real_num F (tptp.lattic1613168225601753569al_num F S2))) (tptp.aa_real_num F Y))))))))
% 18.93/19.16  (assume a1382 (forall ((S2 tptp.set_nat) (Y tptp.nat) (F tptp.fun_nat_num)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (not (= S2 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F (tptp.aa_set_nat_nat (tptp.lattic4004264746738138117at_num F) S2))) (tptp.aa_nat_num F Y))))))))
% 18.93/19.16  (assume a1383 (forall ((S2 tptp.set_int) (Y tptp.int) (F tptp.fun_int_num)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (not (= S2 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y) S2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F (tptp.lattic5003618458639192673nt_num F S2))) (tptp.aa_int_num F Y))))))))
% 18.93/19.16  (assume a1384 (forall ((A2 tptp.set_VEBT_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) tptp.bot_bo8194388402131092736T_VEBT)))))
% 18.93/19.16  (assume a1385 (forall ((A2 tptp.set_set_nat)) (=> (forall ((X4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) tptp.bot_bot_set_set_nat)))))
% 18.93/19.16  (assume a1386 (forall ((A2 tptp.set_real)) (=> (forall ((X4 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) tptp.bot_bot_set_real)))))
% 18.93/19.16  (assume a1387 (forall ((A2 tptp.set_nat)) (=> (forall ((X4 tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) tptp.bot_bot_set_nat)))))
% 18.93/19.16  (assume a1388 (forall ((A2 tptp.set_int)) (=> (forall ((X4 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) tptp.bot_bot_set_int)))))
% 18.93/19.16  (assume a1389 (forall ((D1 tptp.real) (D2 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) D2)) (exists ((E tptp.real)) (and (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 (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E) D1)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E) D2))))))))
% 18.93/19.16  (assume a1390 (forall ((D1 tptp.rat) (D2 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) D2)) (exists ((E tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat E) D1)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat E) D2))))))))
% 18.93/19.16  (assume a1391 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X))))))))
% 18.93/19.16  (assume a1392 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X))))))))
% 18.93/19.16  (assume a1393 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X))))))))
% 18.93/19.16  (assume a1394 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X))))))))
% 18.93/19.16  (assume a1395 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X))))))))
% 18.93/19.16  (assume a1396 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (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_eq_real X) T)))))))
% 18.93/19.16  (assume a1397 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (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_eq_rat X) T)))))))
% 18.93/19.16  (assume a1398 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) T)))))))
% 18.93/19.16  (assume a1399 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) T)))))))
% 18.93/19.16  (assume a1400 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) T)))))))
% 18.93/19.16  (assume a1401 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X)))))))
% 18.93/19.16  (assume a1402 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X)))))))
% 18.93/19.16  (assume a1403 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X)))))))
% 18.93/19.16  (assume a1404 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X)))))))
% 18.93/19.16  (assume a1405 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X)))))))
% 18.93/19.16  (assume a1406 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) T))))))))
% 18.93/19.16  (assume a1407 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) T))))))))
% 18.93/19.16  (assume a1408 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) T))))))))
% 18.93/19.16  (assume a1409 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) T))))))))
% 18.93/19.16  (assume a1410 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) T))))))))
% 18.93/19.16  (assume a1411 (forall ((A tptp.real) (B tptp.real) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool P A)) (=> (not (tptp.pp (tptp.aa_real_bool P B))) (exists ((C3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) C3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C3) B)) (forall ((X tptp.real)) (=> (and (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_real X) C3))) (tptp.pp (tptp.aa_real_bool P X)))) (forall ((D3 tptp.real)) (=> (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_real X4) D3))) (tptp.pp (tptp.aa_real_bool P X4)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real D3) C3)))))))))))
% 18.93/19.16  (assume a1412 (forall ((A tptp.nat) (B tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool P A)) (=> (not (tptp.pp (tptp.aa_nat_bool P B))) (exists ((C3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C3) B)) (forall ((X tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) C3))) (tptp.pp (tptp.aa_nat_bool P X)))) (forall ((D3 tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) D3))) (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 D3) C3)))))))))))
% 18.93/19.16  (assume a1413 (forall ((A tptp.int) (B tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool P A)) (=> (not (tptp.pp (tptp.aa_int_bool P B))) (exists ((C3 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C3) B)) (forall ((X tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) C3))) (tptp.pp (tptp.aa_int_bool P X)))) (forall ((D3 tptp.int)) (=> (forall ((X4 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) D3))) (tptp.pp (tptp.aa_int_bool P X4)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int D3) C3)))))))))))
% 18.93/19.16  (assume a1414 (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (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_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.mi) tptp.ma))) tptp.deg (tptp.list_u1324408373059187874T_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.mi) tptp.na)))) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na))) (tptp.vEBT_vebt_insert tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na))) tptp.summary))))
% 18.93/19.16  (assume a1415 (=> (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 ((Y3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Y3) 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 Y3) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) tptp.ma))))))))))
% 18.93/19.16  (assume a1416 (forall ((X2 tptp.set_nat) (Xs tptp.list_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_set_nat2 Xs)))) (= (tptp.aa_set_nat_nat (tptp.count_list_set_nat Xs) X2) tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1417 (forall ((X2 tptp.real) (Xs tptp.list_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_real2 Xs)))) (= (tptp.aa_real_nat (tptp.count_list_real Xs) X2) tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1418 (forall ((X2 tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 Xs)))) (= (tptp.aa_VEBT_VEBT_nat (tptp.count_list_VEBT_VEBT Xs) X2) tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1419 (forall ((X2 tptp.int) (Xs tptp.list_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (tptp.set_int2 Xs)))) (= (tptp.aa_int_nat (tptp.count_list_int Xs) X2) tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1420 (forall ((X2 tptp.nat) (Xs tptp.list_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.set_nat2 Xs)))) (= (tptp.aa_nat_nat (tptp.count_list_nat Xs) X2) tptp.zero_zero_nat))))
% 18.93/19.16  (assume a1421 (forall ((I tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (=> (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat (tptp.replicate_nat N X2)) I)))))))
% 18.93/19.16  (assume a1422 (forall ((I tptp.nat) (N tptp.nat) (P tptp.fun_int_bool) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (=> (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int (tptp.replicate_int N X2)) I)))))))
% 18.93/19.16  (assume a1423 (forall ((I tptp.nat) (N tptp.nat) (P tptp.fun_VEBT_VEBT_bool) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool P X2)) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT (tptp.replicate_VEBT_VEBT N X2) I)))))))
% 18.93/19.16  (assume a1424 (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.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info Deg TreeList) Summary)) N)) (= Deg N))))
% 18.93/19.16  (assume a1425 (= (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)))
% 18.93/19.16  (assume a1426 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.i) (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))))
% 18.93/19.16  (assume a1427 (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))))
% 18.93/19.16  (assume a1428 (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))))
% 18.93/19.16  (assume a1429 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.numera1916890842035813515d_enat M) (tptp.numera1916890842035813515d_enat N)) (= M N))))
% 18.93/19.16  (assume a1430 (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))))
% 18.93/19.16  (assume a1431 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (= M N))))
% 18.93/19.16  (assume a1432 (forall ((X22 tptp.num) (Y22 tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit0 Y22)) (= X22 Y22))))
% 18.93/19.16  (assume a1433 (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))))
% 18.93/19.16  (assume a1434 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.xa) (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))))
% 18.93/19.16  (assume a1435 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) tptp.na)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) (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))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_vebt_insert X Xa)) tptp.na))))))))
% 18.93/19.16  (assume a1436 (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.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_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 ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_12)))))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_12)))))))))
% 18.93/19.16  (assume a1437 (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))))))
% 18.93/19.16  (assume a1438 (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))))))
% 18.93/19.16  (assume a1439 (forall ((Tree tptp.vEBT_VEBT) (X2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member Tree) X2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Tree) N)) (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))) N)))))))
% 18.93/19.16  (assume a1440 (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_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 18.93/19.16  (assume a1441 (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)))))
% 18.93/19.16  (assume a1442 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 18.93/19.16  (assume a1443 (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)))))
% 18.93/19.16  (assume a1444 (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)))))
% 18.93/19.16  (assume a1445 (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)))))
% 18.93/19.16  (assume a1446 (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)))))
% 18.93/19.16  (assume a1447 (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)))))
% 18.93/19.16  (assume a1448 (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)))))
% 18.93/19.16  (assume a1449 (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_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 18.93/19.16  (assume a1450 (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)))))
% 18.93/19.16  (assume a1451 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 18.93/19.16  (assume a1452 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) Z)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num V) W2))) Z))))
% 18.93/19.16  (assume a1453 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1454 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1455 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat V) (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat W2) Z)) (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.plus_plus_num V) W2)) Z))))
% 18.93/19.16  (assume a1456 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1457 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger V) (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger W2) Z)) (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num V) W2)) Z))))
% 18.93/19.16  (assume a1458 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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)))))
% 18.93/19.16  (assume a1459 (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)))))
% 18.93/19.16  (assume a1460 (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)))))
% 18.93/19.16  (assume a1461 (forall ((M tptp.num) (N tptp.num)) (= (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat M) (tptp.numera1916890842035813515d_enat N)) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 18.93/19.16  (assume a1462 (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)))))
% 18.93/19.16  (assume a1463 (forall ((M tptp.num) (N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 18.93/19.16  (assume a1464 (forall ((X2 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (= X2 Mi) (= X2 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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary) X2) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary))))))
% 18.93/19.16  (assume a1465 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (=> (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))) 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) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T Y)) X2))))))))
% 18.93/19.16  (assume a1466 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (=> (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))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T X2)) X2))))))
% 18.93/19.16  (assume a1467 (forall ((X2 tptp.filter_nat)) (= (tptp.ord_max_filter_nat tptp.bot_bot_filter_nat X2) X2)))
% 18.93/19.16  (assume a1468 (forall ((X2 tptp.set_real)) (= (tptp.ord_max_set_real tptp.bot_bot_set_real X2) X2)))
% 18.93/19.16  (assume a1469 (forall ((X2 tptp.set_nat)) (= (tptp.ord_max_set_nat tptp.bot_bot_set_nat X2) X2)))
% 18.93/19.16  (assume a1470 (forall ((X2 tptp.set_int)) (= (tptp.ord_max_set_int tptp.bot_bot_set_int X2) X2)))
% 18.93/19.16  (assume a1471 (forall ((X2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.bot_bot_nat) X2) X2)))
% 18.93/19.16  (assume a1472 (forall ((X2 tptp.filter_nat)) (= (tptp.ord_max_filter_nat X2 tptp.bot_bot_filter_nat) X2)))
% 18.93/19.16  (assume a1473 (forall ((X2 tptp.set_real)) (= (tptp.ord_max_set_real X2 tptp.bot_bot_set_real) X2)))
% 18.93/19.16  (assume a1474 (forall ((X2 tptp.set_nat)) (= (tptp.ord_max_set_nat X2 tptp.bot_bot_set_nat) X2)))
% 18.93/19.16  (assume a1475 (forall ((X2 tptp.set_int)) (= (tptp.ord_max_set_int X2 tptp.bot_bot_set_int) X2)))
% 18.93/19.16  (assume a1476 (forall ((X2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) tptp.bot_bot_nat) X2)))
% 18.93/19.16  (assume a1477 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (=> (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))) 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_vebt_member (tptp.vEBT_vebt_insert T X2)) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T) Y)) (= X2 Y))))))))
% 18.93/19.16  (assume a1478 (forall ((M tptp.nat) (X2 tptp.vEBT_VEBT) (N tptp.nat) (Y tptp.vEBT_VEBT)) (= (= (tptp.replicate_VEBT_VEBT M X2) (tptp.replicate_VEBT_VEBT N Y)) (and (= M N) (=> (not (= M tptp.zero_zero_nat)) (= X2 Y))))))
% 18.93/19.16  (assume a1479 (forall ((N tptp.nat) (X2 tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.replicate_VEBT_VEBT N X2)) N)))
% 18.93/19.16  (assume a1480 (forall ((N tptp.nat) (X2 tptp.bool)) (= (tptp.size_size_list_bool (tptp.replicate_bool N X2)) N)))
% 18.93/19.16  (assume a1481 (forall ((N tptp.nat) (X2 tptp.nat)) (= (tptp.size_size_list_nat (tptp.replicate_nat N X2)) N)))
% 18.93/19.16  (assume a1482 (forall ((N tptp.nat) (X2 tptp.int)) (= (tptp.size_size_list_int (tptp.replicate_int N X2)) N)))
% 18.93/19.16  (assume a1483 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1484 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) A) A)))
% 18.93/19.16  (assume a1485 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1486 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.16  (assume a1487 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) N) N)))
% 18.93/19.16  (assume a1488 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) tptp.zero_zero_nat) N)))
% 18.93/19.16  (assume a1489 (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.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_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)))))))
% 18.93/19.16  (assume a1490 (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))) tptp.m))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_vebt_insert tptp.summary X2)) tptp.m)))))
% 18.93/19.16  (assume a1491 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat U)) (tptp.numera1916890842035813515d_enat V))) (= (tptp.ord_ma741700101516333627d_enat (tptp.numera1916890842035813515d_enat U) (tptp.numera1916890842035813515d_enat V)) (tptp.numera1916890842035813515d_enat V))) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat U)) (tptp.numera1916890842035813515d_enat V)))) (= (tptp.ord_ma741700101516333627d_enat (tptp.numera1916890842035813515d_enat U) (tptp.numera1916890842035813515d_enat V)) (tptp.numera1916890842035813515d_enat U))))))
% 18.93/19.16  (assume a1492 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_real tptp.numeral_numeral_real V))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V)))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_real tptp.numeral_numeral_real U))))))
% 18.93/19.16  (assume a1493 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.numera6620942414471956472nteger V)) (tptp.numera6620942414471956472nteger V))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.numera6620942414471956472nteger V)) (tptp.numera6620942414471956472nteger U))))))
% 18.93/19.16  (assume a1494 (forall ((U tptp.num) (V tptp.num)) (and (=> (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 U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (=> (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 U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_num_rat tptp.numeral_numeral_rat U))))))
% 18.93/19.16  (assume a1495 (forall ((U tptp.num) (V tptp.num)) (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 U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_num_nat tptp.numeral_numeral_nat V))) (=> (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 U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_num_nat tptp.numeral_numeral_nat U))))))
% 18.93/19.16  (assume a1496 (forall ((U tptp.num) (V 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 U)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (=> (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 U)) (tptp.aa_num_int tptp.numeral_numeral_int V)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int U))))))
% 18.93/19.16  (assume a1497 (forall ((X2 tptp.num)) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X2))))
% 18.93/19.16  (assume a1498 (forall ((X2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X2)) tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X2))))
% 18.93/19.16  (assume a1499 (forall ((X2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int X2))))
% 18.93/19.16  (assume a1500 (forall ((X2 tptp.num)) (= (tptp.ord_ma741700101516333627d_enat (tptp.numera1916890842035813515d_enat X2) tptp.zero_z5237406670263579293d_enat) (tptp.numera1916890842035813515d_enat X2))))
% 18.93/19.16  (assume a1501 (forall ((X2 tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real X2))))
% 18.93/19.16  (assume a1502 (forall ((X2 tptp.num)) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger X2) tptp.zero_z3403309356797280102nteger) (tptp.numera6620942414471956472nteger X2))))
% 18.93/19.16  (assume a1503 (forall ((X2 tptp.num)) (= (tptp.aa_rat_rat (tptp.ord_max_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) (tptp.aa_num_rat tptp.numeral_numeral_rat X2))))
% 18.93/19.16  (assume a1504 (forall ((X2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X2)) (tptp.aa_num_nat tptp.numeral_numeral_nat X2))))
% 18.93/19.16  (assume a1505 (forall ((X2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int X2)) (tptp.aa_num_int tptp.numeral_numeral_int X2))))
% 18.93/19.16  (assume a1506 (forall ((X2 tptp.num)) (= (tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat (tptp.numera1916890842035813515d_enat X2)) (tptp.numera1916890842035813515d_enat X2))))
% 18.93/19.16  (assume a1507 (forall ((X2 tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real X2))))
% 18.93/19.16  (assume a1508 (forall ((X2 tptp.num)) (= (tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger X2)) (tptp.numera6620942414471956472nteger X2))))
% 18.93/19.16  (assume a1509 (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.ma)) (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)))))
% 18.93/19.16  (assume a1510 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 tptp.treeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X2) tptp.na)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) (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))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_vebt_insert X2 Xa2)) tptp.na)))))))
% 18.93/19.16  (assume a1511 (forall ((X2 tptp.set_nat) (N tptp.nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) (tptp.set_set_nat2 (tptp.replicate_set_nat N Y)))) (and (= X2 Y) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1512 (forall ((X2 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_real2 (tptp.replicate_real N Y)))) (and (= X2 Y) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1513 (forall ((X2 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (tptp.set_int2 (tptp.replicate_int N Y)))) (and (= X2 Y) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1514 (forall ((X2 tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) (tptp.set_nat2 (tptp.replicate_nat N Y)))) (and (= X2 Y) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1515 (forall ((X2 tptp.vEBT_VEBT) (N tptp.nat) (Y tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N Y)))) (and (= X2 Y) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1516 (forall ((N tptp.nat) (A tptp.int) (P tptp.fun_int_bool)) (= (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 (tptp.replicate_int N A)))) (tptp.pp (tptp.aa_int_bool P X3)))) (and (tptp.pp (tptp.aa_int_bool P A)) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1517 (forall ((N tptp.nat) (A tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 (tptp.replicate_nat N A)))) (tptp.pp (tptp.aa_nat_bool P X3)))) (and (tptp.pp (tptp.aa_nat_bool P A)) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1518 (forall ((N tptp.nat) (A tptp.vEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (exists ((X3 tptp.vEBT_VEBT)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N A)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)))) (and (tptp.pp (tptp.aa_VEBT_VEBT_bool P A)) (not (= N tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a1519 (forall ((N tptp.nat) (A tptp.int) (P tptp.fun_int_bool)) (= (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 (tptp.replicate_int N A)))) (tptp.pp (tptp.aa_int_bool P X3)))) (or (tptp.pp (tptp.aa_int_bool P A)) (= N tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1520 (forall ((N tptp.nat) (A tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 (tptp.replicate_nat N A)))) (tptp.pp (tptp.aa_nat_bool P X3)))) (or (tptp.pp (tptp.aa_nat_bool P A)) (= N tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1521 (forall ((N tptp.nat) (A tptp.vEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N A)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool P A)) (= N tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1522 (forall ((I tptp.nat) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.replicate_nat N X2)) I) X2))))
% 18.93/19.16  (assume a1523 (forall ((I tptp.nat) (N tptp.nat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.replicate_int N X2)) I) X2))))
% 18.93/19.16  (assume a1524 (forall ((I tptp.nat) (N tptp.nat) (X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (= (tptp.nth_VEBT_VEBT (tptp.replicate_VEBT_VEBT N X2) I) X2))))
% 18.93/19.16  (assume a1525 (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.mi) 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.mi) 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)))))
% 18.93/19.16  (assume a1526 (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))))
% 18.93/19.16  (assume a1527 (forall ((X22 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 X22)))))
% 18.93/19.16  (assume a1528 (forall ((X2 tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) tptp.one)) (= X2 tptp.one))))
% 18.93/19.16  (assume a1529 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 18.93/19.16  (assume a1530 (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)))))
% 18.93/19.16  (assume a1531 (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)))))
% 18.93/19.16  (assume a1532 (forall ((N tptp.num)) (= (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat N) (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.16  (assume a1533 (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)))))
% 18.93/19.16  (assume a1534 (forall ((N tptp.num)) (= (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.16  (assume a1535 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (= (tptp.ord_max_set_int X2 Y) Y))))
% 18.93/19.16  (assume a1536 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (= (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y) Y))))
% 18.93/19.16  (assume a1537 (forall ((X2 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)) (= (tptp.aa_num_num (tptp.ord_max_num X2) Y) Y))))
% 18.93/19.16  (assume a1538 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y) Y))))
% 18.93/19.16  (assume a1539 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y) Y))))
% 18.93/19.16  (assume a1540 (forall ((Y tptp.set_int) (X2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)) (= (tptp.ord_max_set_int X2 Y) X2))))
% 18.93/19.16  (assume a1541 (forall ((Y tptp.rat) (X2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X2)) (= (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y) X2))))
% 18.93/19.16  (assume a1542 (forall ((Y tptp.num) (X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X2)) (= (tptp.aa_num_num (tptp.ord_max_num X2) Y) X2))))
% 18.93/19.16  (assume a1543 (forall ((Y tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y) X2))))
% 18.93/19.16  (assume a1544 (forall ((Y tptp.int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y) X2))))
% 18.93/19.16  (assume a1545 (forall ((A tptp.set_int) (B tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B)) (= (tptp.ord_max_set_int A B) B)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))) (= (tptp.ord_max_set_int A B) A)))))
% 18.93/19.16  (assume a1546 (forall ((A tptp.rat) (B tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) B)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) A)))))
% 18.93/19.16  (assume a1547 (forall ((A tptp.num) (B tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) B)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (= (tptp.aa_num_num (tptp.ord_max_num A) B) A)))))
% 18.93/19.16  (assume a1548 (forall ((A tptp.nat) (B tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A)))))
% 18.93/19.16  (assume a1549 (forall ((A tptp.int) (B tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A)))))
% 18.93/19.16  (assume a1550 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real Y) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) Z)))))
% 18.93/19.16  (assume a1551 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (tptp.aa_rat_rat (tptp.ord_max_rat Y) Z)) (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Y)) (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Z)))))
% 18.93/19.16  (assume a1552 (forall ((X2 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Y) Z)) (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 X2) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) Z)))))
% 18.93/19.16  (assume a1553 (forall ((X2 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int Y) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) Z)))))
% 18.93/19.16  (assume a1554 (forall ((X2 tptp.real) (Y 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.ord_max_real X2) Y)) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) Z)))))
% 18.93/19.16  (assume a1555 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y)) Z) (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Z)) (tptp.aa_rat_rat (tptp.plus_plus_rat Y) Z)))))
% 18.93/19.16  (assume a1556 (forall ((X2 tptp.nat) (Y 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.ord_max_nat X2) Y)) Z) (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 X2) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))
% 18.93/19.16  (assume a1557 (forall ((X2 tptp.int) (Y 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.ord_max_int X2) Y)) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y) Z)))))
% 18.93/19.16  (assume a1558 (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)))))
% 18.93/19.16  (assume a1559 (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)))))
% 18.93/19.16  (assume a1560 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.numera6690914467698888265omplex N)))))
% 18.93/19.16  (assume a1561 (forall ((N tptp.num)) (not (= tptp.zero_zero_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 18.93/19.16  (assume a1562 (forall ((N tptp.num)) (not (= tptp.zero_zero_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 18.93/19.16  (assume a1563 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 18.93/19.16  (assume a1564 (forall ((N tptp.num)) (not (= tptp.zero_z5237406670263579293d_enat (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.16  (assume a1565 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 18.93/19.16  (assume a1566 (forall ((N tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.16  (assume a1567 (= (tptp.aa_num_nat tptp.size_size_num tptp.one) tptp.zero_zero_nat))
% 18.93/19.16  (assume a1568 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat N)) tptp.zero_z5237406670263579293d_enat)))))
% 18.93/19.16  (assume a1569 (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)))))
% 18.93/19.16  (assume a1570 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger N)) tptp.zero_z3403309356797280102nteger)))))
% 18.93/19.16  (assume a1571 (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)))))
% 18.93/19.16  (assume a1572 (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)))))
% 18.93/19.16  (assume a1573 (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)))))
% 18.93/19.16  (assume a1574 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.16  (assume a1575 (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)))))
% 18.93/19.16  (assume a1576 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.16  (assume a1577 (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)))))
% 18.93/19.16  (assume a1578 (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)))))
% 18.93/19.16  (assume a1579 (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)))))
% 18.93/19.16  (assume a1580 (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)))))
% 18.93/19.16  (assume a1581 (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)))))
% 18.93/19.16  (assume a1582 (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)))))
% 18.93/19.16  (assume a1583 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat N)) tptp.zero_z5237406670263579293d_enat)))))
% 18.93/19.16  (assume a1584 (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)))))
% 18.93/19.16  (assume a1585 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger N)) tptp.zero_z3403309356797280102nteger)))))
% 18.93/19.16  (assume a1586 (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)))))
% 18.93/19.16  (assume a1587 (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)))))
% 18.93/19.16  (assume a1588 (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)))))
% 18.93/19.16  (assume a1589 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.16  (assume a1590 (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)))))
% 18.93/19.16  (assume a1591 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.16  (assume a1592 (forall ((Xs tptp.list_set_nat) (N tptp.nat) (X2 tptp.set_nat)) (=> (= (tptp.size_s3254054031482475050et_nat Xs) N) (=> (forall ((Y2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Y2) (tptp.set_set_nat2 Xs))) (= Y2 X2))) (= Xs (tptp.replicate_set_nat N X2))))))
% 18.93/19.16  (assume a1593 (forall ((Xs tptp.list_real) (N tptp.nat) (X2 tptp.real)) (=> (= (tptp.size_size_list_real Xs) N) (=> (forall ((Y2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y2) (tptp.set_real2 Xs))) (= Y2 X2))) (= Xs (tptp.replicate_real N X2))))))
% 18.93/19.16  (assume a1594 (forall ((Xs tptp.list_VEBT_VEBT) (N tptp.nat) (X2 tptp.vEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) N) (=> (forall ((Y2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y2) (tptp.set_VEBT_VEBT2 Xs))) (= Y2 X2))) (= Xs (tptp.replicate_VEBT_VEBT N X2))))))
% 18.93/19.16  (assume a1595 (forall ((Xs tptp.list_bool) (N tptp.nat) (X2 tptp.bool)) (=> (= (tptp.size_size_list_bool Xs) N) (=> (forall ((Y2 tptp.bool)) (=> (tptp.member_bool Y2 (tptp.set_bool2 Xs)) (= (tptp.pp Y2) (tptp.pp X2)))) (= Xs (tptp.replicate_bool N X2))))))
% 18.93/19.16  (assume a1596 (forall ((Xs tptp.list_nat) (N tptp.nat) (X2 tptp.nat)) (=> (= (tptp.size_size_list_nat Xs) N) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y2) (tptp.set_nat2 Xs))) (= Y2 X2))) (= Xs (tptp.replicate_nat N X2))))))
% 18.93/19.16  (assume a1597 (forall ((Xs tptp.list_int) (N tptp.nat) (X2 tptp.int)) (=> (= (tptp.size_size_list_int Xs) N) (=> (forall ((Y2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y2) (tptp.set_int2 Xs))) (= Y2 X2))) (= Xs (tptp.replicate_int N X2))))))
% 18.93/19.16  (assume a1598 (forall ((Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Xs))) (= X4 X2))) (= (tptp.replicate_VEBT_VEBT (tptp.size_s6755466524823107622T_VEBT Xs) X2) Xs))))
% 18.93/19.16  (assume a1599 (forall ((Xs tptp.list_bool) (X2 tptp.bool)) (=> (forall ((X4 tptp.bool)) (=> (tptp.member_bool X4 (tptp.set_bool2 Xs)) (= (tptp.pp X4) (tptp.pp X2)))) (= (tptp.replicate_bool (tptp.size_size_list_bool Xs) X2) Xs))))
% 18.93/19.16  (assume a1600 (forall ((Xs tptp.list_nat) (X2 tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (= X4 X2))) (= (tptp.replicate_nat (tptp.size_size_list_nat Xs) X2) Xs))))
% 18.93/19.16  (assume a1601 (forall ((Xs tptp.list_int) (X2 tptp.int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (= X4 X2))) (= (tptp.replicate_int (tptp.size_size_list_int Xs) X2) Xs))))
% 18.93/19.16  (assume a1602 (forall ((A tptp.real)) (exists ((B3 tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B3) A))))))
% 18.93/19.16  (assume a1603 (forall ((P tptp.fun_real_bool) (P2 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q3 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X4)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P2 X4)))))) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X4)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q3 X4)))))) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (and (tptp.pp (tptp.aa_real_bool P X)) (tptp.pp (tptp.aa_real_bool Q X))) (and (tptp.pp (tptp.aa_real_bool P2 X)) (tptp.pp (tptp.aa_real_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1604 (forall ((P tptp.fun_rat_bool) (P2 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q3 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X4)) (= (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool P2 X4)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X4)) (= (tptp.pp (tptp.aa_rat_bool Q X4)) (tptp.pp (tptp.aa_rat_bool Q3 X4)))))) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (and (tptp.pp (tptp.aa_rat_bool P X)) (tptp.pp (tptp.aa_rat_bool Q X))) (and (tptp.pp (tptp.aa_rat_bool P2 X)) (tptp.pp (tptp.aa_rat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1605 (forall ((P tptp.fun_num_bool) (P2 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q3 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X4)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P2 X4)))))) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X4)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q3 X4)))))) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (= (and (tptp.pp (tptp.aa_num_bool P X)) (tptp.pp (tptp.aa_num_bool Q X))) (and (tptp.pp (tptp.aa_num_bool P2 X)) (tptp.pp (tptp.aa_num_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1606 (forall ((P tptp.fun_nat_bool) (P2 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q3 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X4)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P2 X4)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X4)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q3 X4)))))) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (and (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool Q X))) (and (tptp.pp (tptp.aa_nat_bool P2 X)) (tptp.pp (tptp.aa_nat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1607 (forall ((P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q3 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q3 X4)))))) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (and (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool Q X))) (and (tptp.pp (tptp.aa_int_bool P2 X)) (tptp.pp (tptp.aa_int_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1608 (forall ((P tptp.fun_real_bool) (P2 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q3 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X4)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P2 X4)))))) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X4)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q3 X4)))))) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (or (tptp.pp (tptp.aa_real_bool P X)) (tptp.pp (tptp.aa_real_bool Q X))) (or (tptp.pp (tptp.aa_real_bool P2 X)) (tptp.pp (tptp.aa_real_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1609 (forall ((P tptp.fun_rat_bool) (P2 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q3 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X4)) (= (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool P2 X4)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X4)) (= (tptp.pp (tptp.aa_rat_bool Q X4)) (tptp.pp (tptp.aa_rat_bool Q3 X4)))))) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (or (tptp.pp (tptp.aa_rat_bool P X)) (tptp.pp (tptp.aa_rat_bool Q X))) (or (tptp.pp (tptp.aa_rat_bool P2 X)) (tptp.pp (tptp.aa_rat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1610 (forall ((P tptp.fun_num_bool) (P2 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q3 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X4)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P2 X4)))))) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X4)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q3 X4)))))) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (= (or (tptp.pp (tptp.aa_num_bool P X)) (tptp.pp (tptp.aa_num_bool Q X))) (or (tptp.pp (tptp.aa_num_bool P2 X)) (tptp.pp (tptp.aa_num_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1611 (forall ((P tptp.fun_nat_bool) (P2 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q3 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X4)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P2 X4)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X4)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q3 X4)))))) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (or (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool Q X))) (or (tptp.pp (tptp.aa_nat_bool P2 X)) (tptp.pp (tptp.aa_nat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1612 (forall ((P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q3 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q3 X4)))))) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (or (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool Q X))) (or (tptp.pp (tptp.aa_int_bool P2 X)) (tptp.pp (tptp.aa_int_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1613 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1614 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1615 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1616 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1617 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1618 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1619 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1620 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1621 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1622 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (not (= X T)))))))
% 18.93/19.16  (assume a1623 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) T))))))))
% 18.93/19.16  (assume a1624 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) T))))))))
% 18.93/19.16  (assume a1625 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) T))))))))
% 18.93/19.16  (assume a1626 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) T))))))))
% 18.93/19.16  (assume a1627 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) T))))))))
% 18.93/19.16  (assume a1628 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X)))))))
% 18.93/19.16  (assume a1629 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) X)))))))
% 18.93/19.16  (assume a1630 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X)))))))
% 18.93/19.16  (assume a1631 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X)))))))
% 18.93/19.16  (assume a1632 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X)))))))
% 18.93/19.16  (assume a1633 (forall ((P tptp.fun_real_bool) (P2 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q3 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z3)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P2 X4)))))) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z3)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q3 X4)))))) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (= (and (tptp.pp (tptp.aa_real_bool P X)) (tptp.pp (tptp.aa_real_bool Q X))) (and (tptp.pp (tptp.aa_real_bool P2 X)) (tptp.pp (tptp.aa_real_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1634 (forall ((P tptp.fun_rat_bool) (P2 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q3 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z3)) (= (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool P2 X4)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z3)) (= (tptp.pp (tptp.aa_rat_bool Q X4)) (tptp.pp (tptp.aa_rat_bool Q3 X4)))))) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (= (and (tptp.pp (tptp.aa_rat_bool P X)) (tptp.pp (tptp.aa_rat_bool Q X))) (and (tptp.pp (tptp.aa_rat_bool P2 X)) (tptp.pp (tptp.aa_rat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1635 (forall ((P tptp.fun_num_bool) (P2 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q3 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z3)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P2 X4)))))) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z3)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q3 X4)))))) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (= (and (tptp.pp (tptp.aa_num_bool P X)) (tptp.pp (tptp.aa_num_bool Q X))) (and (tptp.pp (tptp.aa_num_bool P2 X)) (tptp.pp (tptp.aa_num_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1636 (forall ((P tptp.fun_nat_bool) (P2 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q3 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z3)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P2 X4)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z3)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q3 X4)))))) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (= (and (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool Q X))) (and (tptp.pp (tptp.aa_nat_bool P2 X)) (tptp.pp (tptp.aa_nat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1637 (forall ((P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q3 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q3 X4)))))) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (= (and (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool Q X))) (and (tptp.pp (tptp.aa_int_bool P2 X)) (tptp.pp (tptp.aa_int_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1638 (forall ((P tptp.fun_real_bool) (P2 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q3 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z3)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P2 X4)))))) (=> (exists ((Z3 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z3)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q3 X4)))))) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (= (or (tptp.pp (tptp.aa_real_bool P X)) (tptp.pp (tptp.aa_real_bool Q X))) (or (tptp.pp (tptp.aa_real_bool P2 X)) (tptp.pp (tptp.aa_real_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1639 (forall ((P tptp.fun_rat_bool) (P2 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q3 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z3)) (= (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool P2 X4)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z3)) (= (tptp.pp (tptp.aa_rat_bool Q X4)) (tptp.pp (tptp.aa_rat_bool Q3 X4)))))) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (= (or (tptp.pp (tptp.aa_rat_bool P X)) (tptp.pp (tptp.aa_rat_bool Q X))) (or (tptp.pp (tptp.aa_rat_bool P2 X)) (tptp.pp (tptp.aa_rat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1640 (forall ((P tptp.fun_num_bool) (P2 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q3 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z3)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P2 X4)))))) (=> (exists ((Z3 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z3)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q3 X4)))))) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (= (or (tptp.pp (tptp.aa_num_bool P X)) (tptp.pp (tptp.aa_num_bool Q X))) (or (tptp.pp (tptp.aa_num_bool P2 X)) (tptp.pp (tptp.aa_num_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1641 (forall ((P tptp.fun_nat_bool) (P2 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q3 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z3)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P2 X4)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z3)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q3 X4)))))) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (= (or (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool Q X))) (or (tptp.pp (tptp.aa_nat_bool P2 X)) (tptp.pp (tptp.aa_nat_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1642 (forall ((P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q3 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q3 X4)))))) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (= (or (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool Q X))) (or (tptp.pp (tptp.aa_int_bool P2 X)) (tptp.pp (tptp.aa_int_bool Q3 X)))))))))))
% 18.93/19.16  (assume a1643 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1644 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1645 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1646 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1647 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1648 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1649 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1650 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1651 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1652 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (not (= X T)))))))
% 18.93/19.16  (assume a1653 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (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 X) T)))))))
% 18.93/19.16  (assume a1654 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (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 X) T)))))))
% 18.93/19.16  (assume a1655 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) T)))))))
% 18.93/19.16  (assume a1656 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) T)))))))
% 18.93/19.16  (assume a1657 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) T)))))))
% 18.93/19.16  (assume a1658 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X))))))))
% 18.93/19.16  (assume a1659 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) X))))))))
% 18.93/19.16  (assume a1660 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X))))))))
% 18.93/19.16  (assume a1661 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X))))))))
% 18.93/19.16  (assume a1662 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X))))))))
% 18.93/19.16  (assume a1663 (forall ((Xs tptp.list_VEBT_VEBT) (X2 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat (tptp.count_list_VEBT_VEBT Xs) X2)) (tptp.size_s6755466524823107622T_VEBT Xs)))))
% 18.93/19.16  (assume a1664 (forall ((Xs tptp.list_bool) (X2 tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat (tptp.count_list_bool Xs) X2)) (tptp.size_size_list_bool Xs)))))
% 18.93/19.16  (assume a1665 (forall ((Xs tptp.list_nat) (X2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.count_list_nat Xs) X2)) (tptp.size_size_list_nat Xs)))))
% 18.93/19.16  (assume a1666 (forall ((Xs tptp.list_int) (X2 tptp.int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat (tptp.count_list_int Xs) X2)) (tptp.size_size_list_int Xs)))))
% 18.93/19.16  (assume a1667 (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 ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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 ((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_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) 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 ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) 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 X4) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary)) Deg))))))))))))))
% 18.93/19.16  (assume a1668 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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 (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a1669 (forall ((X2 tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1670 (forall ((X2 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 X2) (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 (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 18.93/19.16  (assume a1671 (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.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)))))
% 18.93/19.16  (assume a1672 (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)))))
% 18.93/19.16  (assume a1673 (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)))))
% 18.93/19.16  (assume a1674 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X2 Y))))))
% 18.93/19.16  (assume a1675 (forall ((X2 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) X2)) (=> (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 X2) (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)))) (= X2 Y))))))
% 18.93/19.16  (assume a1676 (forall ((X2 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) X2)) (=> (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 X2) (tptp.aa_num_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)))) (= X2 Y))))))
% 18.93/19.16  (assume a1677 (forall ((X2 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) X2)) (=> (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 X2) (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)))) (= X2 Y))))))
% 18.93/19.16  (assume a1678 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_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))))
% 18.93/19.16  (assume a1679 (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))))
% 18.93/19.16  (assume a1680 (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))))
% 18.93/19.16  (assume a1681 (forall ((X2 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 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.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X2)) (=> (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 (= X2 Ma)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary) X2) (tptp.aa_VEB5832953974749077948T_VEBT (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 X2) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low 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.aa_VEB5832953974749077948T_VEBT (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 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.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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)))))) Summary)))))))))
% 18.93/19.16  (assume a1682 (forall ((Mi tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X2 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 X2) 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 (= X2 Ma)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary) X2) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X2) (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.aa_VEB5832953974749077948T_VEBT (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)))))))))
% 18.93/19.16  (assume a1683 (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))))
% 18.93/19.16  (assume a1684 (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))))
% 18.93/19.16  (assume a1685 (forall ((A tptp.real)) (= (= (tptp.aa_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))))
% 18.93/19.16  (assume a1686 (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))))
% 18.93/19.16  (assume a1687 (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))))
% 18.93/19.16  (assume a1688 (forall ((A tptp.real) (B 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) B)) (=> (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.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))))
% 18.93/19.16  (assume a1689 (forall ((A tptp.rat) (B 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) B)) (=> (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 B) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))))
% 18.93/19.16  (assume a1690 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))))
% 18.93/19.16  (assume a1691 (forall ((A tptp.int) (B 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) B)) (=> (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 B) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))))
% 18.93/19.16  (assume a1692 (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))))))
% 18.93/19.16  (assume a1693 (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))))))
% 18.93/19.16  (assume a1694 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_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))))))
% 18.93/19.16  (assume a1695 (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))))))
% 18.93/19.16  (assume a1696 (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))))))
% 18.93/19.16  (assume a1697 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary)) X2)) (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 (= X2 Mi) (= X2 Ma) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X2)) (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 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.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low 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))))))))))))
% 18.93/19.16  (assume a1698 (forall ((A tptp.nat) (B 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) B))) (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))) B))))
% 18.93/19.16  (assume a1699 (forall ((X2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_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))) N)))))
% 18.93/19.16  (assume a1700 (= (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))
% 18.93/19.16  (assume a1701 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 18.93/19.16  (assume a1702 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.zero_zero_rat) A) tptp.zero_zero_rat)))
% 18.93/19.16  (assume a1703 (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)))
% 18.93/19.16  (assume a1704 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 18.93/19.16  (assume a1705 (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)))
% 18.93/19.16  (assume a1706 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 18.93/19.16  (assume a1707 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a1708 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1709 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 18.93/19.16  (assume a1710 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 18.93/19.16  (assume a1711 (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)))
% 18.93/19.16  (assume a1712 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 18.93/19.16  (assume a1713 (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)))
% 18.93/19.16  (assume a1714 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex C) A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex C) B)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 18.93/19.16  (assume a1715 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat C) A) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B)) (or (= C tptp.zero_zero_rat) (= A B)))))
% 18.93/19.16  (assume a1716 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (or (= C tptp.zero_zero_real) (= A B)))))
% 18.93/19.16  (assume a1717 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 18.93/19.16  (assume a1718 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) C) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (or (= C tptp.zero_zero_rat) (= A B)))))
% 18.93/19.16  (assume a1719 (forall ((A tptp.real) (C tptp.real) (B 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 B) C)) (or (= C tptp.zero_zero_real) (= A B)))))
% 18.93/19.16  (assume a1720 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 18.93/19.16  (assume a1721 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 18.93/19.16  (assume a1722 (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)))
% 18.93/19.16  (assume a1723 (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)))
% 18.93/19.16  (assume a1724 (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)))
% 18.93/19.16  (assume a1725 (forall ((K tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_real)))
% 18.93/19.16  (assume a1726 (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)))
% 18.93/19.16  (assume a1727 (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)))
% 18.93/19.16  (assume a1728 (forall ((X2 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 X2) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X2)) (= N tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1729 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_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 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))) 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 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low 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.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info Deg TreeList) Summary)) X2)))))))
% 18.93/19.16  (assume a1730 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)))))
% 18.93/19.16  (assume a1731 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a1732 (forall ((A tptp.real) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.16  (assume a1733 (forall ((A tptp.rat) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.16  (assume a1734 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) C)))))))
% 18.93/19.16  (assume a1735 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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 B) C)))))))
% 18.93/19.16  (assume a1736 (forall ((A tptp.real) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_real)))))))
% 18.93/19.16  (assume a1737 (forall ((A tptp.rat) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_rat)))))))
% 18.93/19.16  (assume a1738 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1739 (forall ((X2 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) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1740 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1741 (forall ((X2 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) X2)) (=> (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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1742 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1743 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1744 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1745 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1746 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)))))))
% 18.93/19.16  (assume a1747 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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 B) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)))))))
% 18.93/19.16  (assume a1748 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1749 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1750 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) 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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1751 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1752 (forall ((X2 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) X2)) (=> (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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1753 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1754 (forall ((X2 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) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1755 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1756 (forall ((A tptp.rat) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.16  (assume a1757 (forall ((A tptp.real) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.16  (assume a1758 (forall ((A tptp.rat) (C tptp.rat) (B 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 B) 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) B))) (=> (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 B) A))) (not (= C tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1759 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))) (=> (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 B) A))) (not (= C tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1760 (forall ((A tptp.rat) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_rat)))))))
% 18.93/19.16  (assume a1761 (forall ((A tptp.real) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_real)))))))
% 18.93/19.16  (assume a1762 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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 B) C)))))))
% 18.93/19.16  (assume a1763 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) C)))))))
% 18.93/19.16  (assume a1764 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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 B) C)))))))
% 18.93/19.16  (assume a1765 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) 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 B) C)))))))
% 18.93/19.16  (assume a1766 (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)))
% 18.93/19.16  (assume a1767 (forall ((Y tptp.real) (X2 tptp.real) (W2 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 X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W2)) (=> (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 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W2)))))))))
% 18.93/19.16  (assume a1768 (forall ((Y tptp.rat) (X2 tptp.rat) (W2 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 X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W2)) (=> (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 (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W2)))))))))
% 18.93/19.16  (assume a1769 (forall ((X2 tptp.real) (Y tptp.real) (W2 tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W2)) (=> (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_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W2)))))))))
% 18.93/19.16  (assume a1770 (forall ((X2 tptp.rat) (Y tptp.rat) (W2 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) X2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W2)) (=> (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_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W2)))))))))
% 18.93/19.16  (assume a1771 (forall ((X2 tptp.real) (Y tptp.real) (W2 tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) 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 X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W2)))))))))
% 18.93/19.16  (assume a1772 (forall ((X2 tptp.rat) (Y tptp.rat) (W2 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) X2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W2) 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 X2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W2)))))))))
% 18.93/19.16  (assume a1773 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.16  (assume a1774 (forall ((A tptp.rat) (C tptp.rat) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.16  (assume a1775 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1776 (forall ((X2 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) X2)) (=> (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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1777 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1778 (forall ((X2 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) X2)) (=> (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 X2) Y)))))))
% 18.93/19.16  (assume a1779 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1780 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2) Y)))))))
% 18.93/19.16  (assume a1781 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) Y)) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1782 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2) Y)) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1783 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat (tptp.divide_divide_rat X2) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) X2)))
% 18.93/19.16  (assume a1784 (forall ((X2 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 X2) (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 X2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X2)))
% 18.93/19.16  (assume a1785 (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)))))
% 18.93/19.16  (assume a1786 (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)))))
% 18.93/19.16  (assume a1787 (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))))))))
% 18.93/19.16  (assume a1788 (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))))))))
% 18.93/19.16  (assume a1789 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.16  (assume a1790 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.16  (assume a1791 (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)))))
% 18.93/19.16  (assume a1792 (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)))))
% 18.93/19.16  (assume a1793 (forall ((A tptp.real) (N tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (not (= (tptp.aa_nat_real (tptp.power_power_real A) N) tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1794 (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)))))
% 18.93/19.16  (assume a1795 (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)))))
% 18.93/19.16  (assume a1796 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 18.93/19.16  (assume a1797 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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 B) N)))))))
% 18.93/19.16  (assume a1798 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (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 B) N)))))))
% 18.93/19.16  (assume a1799 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (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 B) N)))))))
% 18.93/19.16  (assume a1800 (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.power_power_real A) N))))))
% 18.93/19.16  (assume a1801 (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))))))
% 18.93/19.16  (assume a1802 (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))))))
% 18.93/19.16  (assume a1803 (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))))))
% 18.93/19.16  (assume a1804 (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.power_power_real A) N))))))
% 18.93/19.16  (assume a1805 (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))))))
% 18.93/19.16  (assume a1806 (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))))))
% 18.93/19.16  (assume a1807 (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))))))
% 18.93/19.16  (assume a1808 (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))))))
% 18.93/19.16  (assume a1809 (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (Ux tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv) Uw)) Ux)))))
% 18.93/19.16  (assume a1810 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a1811 (forall ((A tptp.rat) (N tptp.nat) (B 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 B) N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a1812 (forall ((A tptp.nat) (N tptp.nat) (B 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 B) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 18.93/19.16  (assume a1813 (forall ((A tptp.int) (N tptp.nat) (B 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 B) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 18.93/19.16  (assume a1814 (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))))
% 18.93/19.16  (assume a1815 (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))))
% 18.93/19.16  (assume a1816 (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.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real))))
% 18.93/19.16  (assume a1817 (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))))
% 18.93/19.16  (assume a1818 (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))))
% 18.93/19.16  (assume a1819 (forall ((N tptp.nat) (A tptp.real) (B 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) B)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.power_power_real B) N)) (= A B)))))))
% 18.93/19.16  (assume a1820 (forall ((N tptp.nat) (A tptp.rat) (B 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) B)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B) N)) (= A B)))))))
% 18.93/19.16  (assume a1821 (forall ((N tptp.nat) (A tptp.nat) (B 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) B)) (= (= (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 B) N)) (= A B)))))))
% 18.93/19.16  (assume a1822 (forall ((N tptp.nat) (A tptp.int) (B 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) B)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B) N)) (= A B)))))))
% 18.93/19.16  (assume a1823 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.power_power_real B) 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 18.93/19.16  (assume a1824 (forall ((A tptp.rat) (N tptp.nat) (B tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B) 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 18.93/19.16  (assume a1825 (forall ((A tptp.nat) (N tptp.nat) (B 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 B) 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 18.93/19.16  (assume a1826 (forall ((A tptp.int) (N tptp.nat) (B tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B) 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 18.93/19.16  (assume a1827 (= (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))
% 18.93/19.16  (assume a1828 (= (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))
% 18.93/19.16  (assume a1829 (= (tptp.aa_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))
% 18.93/19.16  (assume a1830 (= (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))
% 18.93/19.16  (assume a1831 (= (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))
% 18.93/19.16  (assume a1832 (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)))))
% 18.93/19.16  (assume a1833 (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))))))
% 18.93/19.16  (assume a1834 (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)))))
% 18.93/19.16  (assume a1835 (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)))))
% 18.93/19.16  (assume a1836 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.list_VEBT_VEBT) (Vb tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat Va) Vb)) X2)) (or (= X2 Mi) (= X2 Ma)))))
% 18.93/19.16  (assume a1837 (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.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 18.93/19.16  (assume a1838 (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)))))))
% 18.93/19.16  (assume a1839 (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)))))))
% 18.93/19.16  (assume a1840 (forall ((X2 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= X2 Y))))))
% 18.93/19.16  (assume a1841 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat X2) (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) X2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= X2 Y))))))
% 18.93/19.16  (assume a1842 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X2) (tptp.aa_num_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) X2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= X2 Y))))))
% 18.93/19.16  (assume a1843 (forall ((X2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int X2) (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) X2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= X2 Y))))))
% 18.93/19.16  (assume a1844 (forall ((X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 X2) Y))))))
% 18.93/19.16  (assume a1845 (forall ((X2 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 X2) (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 X2) Y))))))
% 18.93/19.16  (assume a1846 (forall ((X2 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 X2) (tptp.aa_num_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 X2) Y))))))
% 18.93/19.16  (assume a1847 (forall ((X2 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 X2) (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 X2) Y))))))
% 18.93/19.16  (assume a1848 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))))))))
% 18.93/19.16  (assume a1849 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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 B) N))))))))
% 18.93/19.16  (assume a1850 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (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 B) N))))))))
% 18.93/19.16  (assume a1851 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (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 B) N))))))))
% 18.93/19.16  (assume a1852 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_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)))))
% 18.93/19.16  (assume a1853 (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)))))
% 18.93/19.16  (assume a1854 (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)))))
% 18.93/19.16  (assume a1855 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 X2) Y))))))
% 18.93/19.16  (assume a1856 (forall ((X2 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 X2) (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 X2) Y))))))
% 18.93/19.16  (assume a1857 (forall ((X2 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 X2) (tptp.aa_num_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 X2) Y))))))
% 18.93/19.16  (assume a1858 (forall ((X2 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 X2) (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 X2) Y))))))
% 18.93/19.16  (assume a1859 (forall ((X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.16  (assume a1860 (forall ((X2 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.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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))))))))
% 18.93/19.16  (assume a1861 (forall ((X2 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 X2) (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))))))))
% 18.93/19.16  (assume a1862 (forall ((X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1863 (forall ((X2 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.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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 (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a1864 (forall ((X2 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 X2) (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 (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 18.93/19.16  (assume a1865 (forall ((X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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)))))
% 18.93/19.16  (assume a1866 (forall ((X2 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.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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)))))
% 18.93/19.16  (assume a1867 (forall ((X2 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 X2) (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)))))
% 18.93/19.16  (assume a1868 (forall ((X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 (= X2 tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 18.93/19.16  (assume a1869 (forall ((X2 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.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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 (= X2 tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a1870 (forall ((X2 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 X2) (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 (= X2 tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 18.93/19.16  (assume a1871 (forall ((X2 tptp.nat) (N tptp.nat) (M 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))) (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 X2) 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))))))))
% 18.93/19.16  (assume a1872 (forall ((X2 tptp.nat) (N tptp.nat) (M 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))) (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 X2) 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))))))))
% 18.93/19.16  (assume a1873 (forall ((X2 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 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.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 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low 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.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary)) X2)))))))
% 18.93/19.16  (assume a1874 (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)))
% 18.93/19.16  (assume a1875 (forall ((Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X2 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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary)) X2)) (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 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low 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)))))) (= X2 Mi) (= X2 Ma))))))
% 18.93/19.16  (assume a1876 (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)))))
% 18.93/19.16  (assume a1877 (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))))
% 18.93/19.16  (assume a1878 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (M tptp.nat)) (=> (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))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X4) 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))))))
% 18.93/19.16  (assume a1879 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (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 M) N))))))
% 18.93/19.16  (assume a1880 (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))))))
% 18.93/19.16  (assume a1881 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_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.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))))))
% 18.93/19.16  (assume a1882 (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)))))
% 18.93/19.16  (assume a1883 (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)))))
% 18.93/19.16  (assume a1884 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_Code_integer (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 M) N)) tptp.zero_z3403309356797280102nteger)) (not (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M) tptp.zero_z3403309356797280102nteger)))))
% 18.93/19.16  (assume a1885 (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)))))
% 18.93/19.16  (assume a1886 (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)))))
% 18.93/19.16  (assume a1887 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_Code_integer (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 M) N)) tptp.zero_z3403309356797280102nteger)) (not (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_z3403309356797280102nteger)))))
% 18.93/19.16  (assume a1888 (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))))
% 18.93/19.16  (assume a1889 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) (tptp.aa_complex_complex (tptp.times_times_complex B) C)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 18.93/19.16  (assume a1890 (forall ((A tptp.real) (C tptp.real) (B 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 B) C)) (or (= C tptp.zero_zero_real) (= A B)))))
% 18.93/19.16  (assume a1891 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) (tptp.aa_rat_rat (tptp.times_times_rat B) C)) (or (= C tptp.zero_zero_rat) (= A B)))))
% 18.93/19.16  (assume a1892 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C)) (or (= C tptp.zero_zero_nat) (= A B)))))
% 18.93/19.16  (assume a1893 (forall ((A tptp.int) (C tptp.int) (B 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 B) C)) (or (= C tptp.zero_zero_int) (= A B)))))
% 18.93/19.16  (assume a1894 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex C) A) (tptp.aa_complex_complex (tptp.times_times_complex C) B)) (or (= C tptp.zero_zero_complex) (= A B)))))
% 18.93/19.16  (assume a1895 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (or (= C tptp.zero_zero_real) (= A B)))))
% 18.93/19.16  (assume a1896 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat C) A) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (or (= C tptp.zero_zero_rat) (= A B)))))
% 18.93/19.16  (assume a1897 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (or (= C tptp.zero_zero_nat) (= A B)))))
% 18.93/19.16  (assume a1898 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (or (= C tptp.zero_zero_int) (= A B)))))
% 18.93/19.16  (assume a1899 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 18.93/19.16  (assume a1900 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1901 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat A) B) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a1902 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a1903 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 18.93/19.16  (assume a1904 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 18.93/19.16  (assume a1905 (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)))
% 18.93/19.16  (assume a1906 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 18.93/19.16  (assume a1907 (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)))
% 18.93/19.16  (assume a1908 (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)))
% 18.93/19.16  (assume a1909 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 18.93/19.16  (assume a1910 (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)))
% 18.93/19.16  (assume a1911 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat tptp.zero_zero_rat) A) tptp.zero_zero_rat)))
% 18.93/19.16  (assume a1912 (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)))
% 18.93/19.16  (assume a1913 (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)))
% 18.93/19.16  (assume a1914 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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)))))
% 18.93/19.16  (assume a1915 (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)))))
% 18.93/19.16  (assume a1916 (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)))))
% 18.93/19.16  (assume a1917 (forall ((M tptp.num) (N tptp.num)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat M) (tptp.numera1916890842035813515d_enat N)) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 18.93/19.16  (assume a1918 (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)))))
% 18.93/19.16  (assume a1919 (forall ((M tptp.num) (N tptp.num)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 18.93/19.16  (assume a1920 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) Z)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num V) W2))) Z))))
% 18.93/19.16  (assume a1921 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1922 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1923 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat V) (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat W2) Z)) (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.times_times_num V) W2)) Z))))
% 18.93/19.16  (assume a1924 (forall ((V tptp.num) (W2 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 W2)) 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) W2))) Z))))
% 18.93/19.16  (assume a1925 (forall ((V tptp.num) (W2 tptp.num) (Z tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger W2) Z)) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num V) W2)) Z))))
% 18.93/19.16  (assume a1926 (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)))
% 18.93/19.16  (assume a1927 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 18.93/19.16  (assume a1928 (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)))
% 18.93/19.16  (assume a1929 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 18.93/19.16  (assume a1930 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 18.93/19.16  (assume a1931 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 18.93/19.16  (assume a1932 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) tptp.one_one_rat) A)))
% 18.93/19.16  (assume a1933 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 18.93/19.16  (assume a1934 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 18.93/19.16  (assume a1935 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 18.93/19.16  (assume a1936 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 18.93/19.16  (assume a1937 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat tptp.one_one_rat) A) A)))
% 18.93/19.16  (assume a1938 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 18.93/19.16  (assume a1939 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 18.93/19.16  (assume a1940 (forall ((X2 tptp.nat) (N tptp.nat) (Y 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))) 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))) X2)) N) Y))))
% 18.93/19.16  (assume a1941 (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.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)))))
% 18.93/19.16  (assume a1942 (forall ((X2 tptp.nat) (N tptp.nat) (Y 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))) 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))) X2)) N) X2))))
% 18.93/19.16  (assume a1943 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) A) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat B) A)) C))))
% 18.93/19.16  (assume a1944 (forall ((B 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 B) 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 B) A)) C))))
% 18.93/19.16  (assume a1945 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) C) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.16  (assume a1946 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a1947 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) B))))
% 18.93/19.16  (assume a1948 (forall ((A tptp.real) (B 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 B) 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)) B))))
% 18.93/19.16  (assume a1949 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) C))))
% 18.93/19.16  (assume a1950 (forall ((A tptp.real) (B 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 B) 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) B)) C))))
% 18.93/19.16  (assume a1951 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.one_one_complex) A)))
% 18.93/19.16  (assume a1952 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.one_one_rat) A)))
% 18.93/19.16  (assume a1953 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 18.93/19.16  (assume a1954 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.one_one_int) A)))
% 18.93/19.16  (assume a1955 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) tptp.one_one_real) A)))
% 18.93/19.16  (assume a1956 (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)))))
% 18.93/19.16  (assume a1957 (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)))
% 18.93/19.16  (assume a1958 (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)))))
% 18.93/19.16  (assume a1959 (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)))))
% 18.93/19.16  (assume a1960 (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)))))
% 18.93/19.16  (assume a1961 (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)))))
% 18.93/19.16  (assume a1962 (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)))))
% 18.93/19.16  (assume a1963 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) tptp.one)))))
% 18.93/19.16  (assume a1964 (forall ((C tptp.complex) (B tptp.complex)) (= (= C (tptp.aa_complex_complex (tptp.times_times_complex C) B)) (or (= C tptp.zero_zero_complex) (= B tptp.one_one_complex)))))
% 18.93/19.16  (assume a1965 (forall ((C tptp.real) (B tptp.real)) (= (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B)) (or (= C tptp.zero_zero_real) (= B tptp.one_one_real)))))
% 18.93/19.16  (assume a1966 (forall ((C tptp.rat) (B tptp.rat)) (= (= C (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (or (= C tptp.zero_zero_rat) (= B tptp.one_one_rat)))))
% 18.93/19.16  (assume a1967 (forall ((C tptp.int) (B tptp.int)) (= (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)) (or (= C tptp.zero_zero_int) (= B tptp.one_one_int)))))
% 18.93/19.16  (assume a1968 (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)))))
% 18.93/19.16  (assume a1969 (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)))))
% 18.93/19.16  (assume a1970 (forall ((C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat C) A) C) (or (= C tptp.zero_zero_rat) (= A tptp.one_one_rat)))))
% 18.93/19.16  (assume a1971 (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)))))
% 18.93/19.16  (assume a1972 (forall ((C tptp.complex) (B tptp.complex)) (= (= C (tptp.aa_complex_complex (tptp.times_times_complex B) C)) (or (= C tptp.zero_zero_complex) (= B tptp.one_one_complex)))))
% 18.93/19.16  (assume a1973 (forall ((C tptp.real) (B tptp.real)) (= (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) C)) (or (= C tptp.zero_zero_real) (= B tptp.one_one_real)))))
% 18.93/19.16  (assume a1974 (forall ((C tptp.rat) (B tptp.rat)) (= (= C (tptp.aa_rat_rat (tptp.times_times_rat B) C)) (or (= C tptp.zero_zero_rat) (= B tptp.one_one_rat)))))
% 18.93/19.16  (assume a1975 (forall ((C tptp.int) (B tptp.int)) (= (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (or (= C tptp.zero_zero_int) (= B tptp.one_one_int)))))
% 18.93/19.16  (assume a1976 (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)))))
% 18.93/19.16  (assume a1977 (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)))))
% 18.93/19.16  (assume a1978 (forall ((A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) C) (or (= C tptp.zero_zero_rat) (= A tptp.one_one_rat)))))
% 18.93/19.16  (assume a1979 (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)))))
% 18.93/19.16  (assume a1980 (forall ((X2 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 X2) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)) tptp.zero_zero_real) (and (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 18.93/19.16  (assume a1981 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y)) tptp.zero_zero_rat) (and (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a1982 (forall ((X2 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 X2) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) tptp.zero_zero_int) (and (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 18.93/19.16  (assume a1983 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 18.93/19.16  (assume a1984 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (and (=> (= C tptp.zero_zero_int) (= (tptp.aa_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) B)) tptp.zero_zero_int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_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) B)) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.16  (assume a1985 (forall ((C tptp.nat) (A tptp.nat) (B 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 B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))
% 18.93/19.16  (assume a1986 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_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 B) C)) (tptp.aa_int_int (tptp.divide_divide_int A) B)))))
% 18.93/19.16  (assume a1987 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))
% 18.93/19.16  (assume a1988 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_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) B)) (tptp.aa_int_int (tptp.divide_divide_int A) B)))))
% 18.93/19.16  (assume a1989 (forall ((C tptp.complex) (A tptp.complex) (B 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) B)) 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) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))))))
% 18.93/19.16  (assume a1990 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) tptp.zero_zero_rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B))))))
% 18.93/19.16  (assume a1991 (forall ((C tptp.real) (A tptp.real) (B 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) B)) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B))))))
% 18.93/19.16  (assume a1992 (forall ((C tptp.complex) (A tptp.complex) (B 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) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))))
% 18.93/19.16  (assume a1993 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)))))
% 18.93/19.16  (assume a1994 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)))))
% 18.93/19.16  (assume a1995 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) A) B))))
% 18.93/19.16  (assume a1996 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) A) B))))
% 18.93/19.16  (assume a1997 (forall ((A tptp.nat) (B 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) B)) A) B))))
% 18.93/19.16  (assume a1998 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) A) B))))
% 18.93/19.16  (assume a1999 (forall ((A tptp.real) (B 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) B)) A) B))))
% 18.93/19.16  (assume a2000 (forall ((C tptp.complex) (A tptp.complex) (B 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 B) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))))
% 18.93/19.16  (assume a2001 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)))))
% 18.93/19.16  (assume a2002 (forall ((C tptp.real) (A tptp.real) (B 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 B) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)))))
% 18.93/19.16  (assume a2003 (forall ((C tptp.complex) (A tptp.complex) (B 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 B) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))))
% 18.93/19.16  (assume a2004 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)))))
% 18.93/19.16  (assume a2005 (forall ((C tptp.real) (A tptp.real) (B 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 B) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)))))
% 18.93/19.16  (assume a2006 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) B) A))))
% 18.93/19.16  (assume a2007 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) B) A))))
% 18.93/19.16  (assume a2008 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B 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) B)) B) A))))
% 18.93/19.16  (assume a2009 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) B) A))))
% 18.93/19.16  (assume a2010 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B 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) B)) B) A))))
% 18.93/19.16  (assume a2011 (forall ((C tptp.complex) (A tptp.complex) (B 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) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))))
% 18.93/19.16  (assume a2012 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)))))
% 18.93/19.16  (assume a2013 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)))))
% 18.93/19.16  (assume a2014 (forall ((A tptp.rat) (B tptp.rat) (V tptp.num)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.times_times_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 18.93/19.16  (assume a2015 (forall ((A tptp.nat) (B 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) B)) (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 B) (tptp.aa_num_nat tptp.numeral_numeral_nat V))))))
% 18.93/19.16  (assume a2016 (forall ((A tptp.int) (B 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) B)) (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 B) (tptp.aa_num_int tptp.numeral_numeral_int V))))))
% 18.93/19.16  (assume a2017 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (V tptp.num)) (= (tptp.times_7803423173614009249d_enat (tptp.plus_p3455044024723400733d_enat A B) (tptp.numera1916890842035813515d_enat V)) (tptp.plus_p3455044024723400733d_enat (tptp.times_7803423173614009249d_enat A (tptp.numera1916890842035813515d_enat V)) (tptp.times_7803423173614009249d_enat B (tptp.numera1916890842035813515d_enat V))))))
% 18.93/19.16  (assume a2018 (forall ((A tptp.real) (B 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) B)) (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 B) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 18.93/19.16  (assume a2019 (forall ((A tptp.code_integer) (B tptp.code_integer) (V tptp.num)) (= (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger A B) (tptp.numera6620942414471956472nteger V)) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger A (tptp.numera6620942414471956472nteger V)) (tptp.times_3573771949741848930nteger B (tptp.numera6620942414471956472nteger V))))))
% 18.93/19.16  (assume a2020 (forall ((V tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) B)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) C)))))
% 18.93/19.16  (assume a2021 (forall ((V tptp.num) (B 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 B) 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)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) C)))))
% 18.93/19.16  (assume a2022 (forall ((V tptp.num) (B 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 B) 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)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) C)))))
% 18.93/19.16  (assume a2023 (forall ((V tptp.num) (B tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat V) (tptp.plus_p3455044024723400733d_enat B C)) (tptp.plus_p3455044024723400733d_enat (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat V) B) (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat V) C)))))
% 18.93/19.16  (assume a2024 (forall ((V tptp.num) (B 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 B) 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)) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) C)))))
% 18.93/19.16  (assume a2025 (forall ((V tptp.num) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) (tptp.plus_p5714425477246183910nteger B C)) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) B) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) C)))))
% 18.93/19.16  (assume a2026 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) tptp.one_one_complex) (and (not (= B tptp.zero_zero_complex)) (= A B)))))
% 18.93/19.16  (assume a2027 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B) tptp.one_one_rat) (and (not (= B tptp.zero_zero_rat)) (= A B)))))
% 18.93/19.16  (assume a2028 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B) tptp.one_one_real) (and (not (= B tptp.zero_zero_real)) (= A B)))))
% 18.93/19.16  (assume a2029 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 18.93/19.16  (assume a2030 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.one_one_rat))))
% 18.93/19.16  (assume a2031 (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))))
% 18.93/19.16  (assume a2032 (forall ((A tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) A) tptp.one_one_int))))
% 18.93/19.16  (assume a2033 (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))))
% 18.93/19.16  (assume a2034 (forall ((A tptp.complex) (B tptp.complex)) (= (= tptp.one_one_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (and (not (= B tptp.zero_zero_complex)) (= A B)))))
% 18.93/19.16  (assume a2035 (forall ((A tptp.rat) (B tptp.rat)) (= (= tptp.one_one_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (and (not (= B tptp.zero_zero_rat)) (= A B)))))
% 18.93/19.16  (assume a2036 (forall ((A tptp.real) (B tptp.real)) (= (= tptp.one_one_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) (and (not (= B tptp.zero_zero_real)) (= A B)))))
% 18.93/19.16  (assume a2037 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 18.93/19.16  (assume a2038 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.one_one_rat))))
% 18.93/19.16  (assume a2039 (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))))
% 18.93/19.16  (assume a2040 (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)))))
% 18.93/19.16  (assume a2041 (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)))))
% 18.93/19.16  (assume a2042 (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)))))
% 18.93/19.16  (assume a2043 (forall ((B tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) A) tptp.one_one_rat) (and (not (= A tptp.zero_zero_rat)) (= A B)))))
% 18.93/19.16  (assume a2044 (forall ((B tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) A) tptp.one_one_real) (and (not (= A tptp.zero_zero_real)) (= A B)))))
% 18.93/19.16  (assume a2045 (forall ((B tptp.rat) (A tptp.rat)) (= (= tptp.one_one_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B) A)) (and (not (= A tptp.zero_zero_rat)) (= A B)))))
% 18.93/19.16  (assume a2046 (forall ((B tptp.real) (A tptp.real)) (= (= tptp.one_one_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) A)) (and (not (= A tptp.zero_zero_real)) (= A B)))))
% 18.93/19.16  (assume a2047 (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))))
% 18.93/19.16  (assume a2048 (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))))
% 18.93/19.16  (assume a2049 (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))))
% 18.93/19.16  (assume a2050 (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))))
% 18.93/19.16  (assume a2051 (forall ((N tptp.num)) (= (= (tptp.numera6690914467698888265omplex N) tptp.one_one_complex) (= N tptp.one))))
% 18.93/19.16  (assume a2052 (forall ((N tptp.num)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat N) tptp.one_one_rat) (= N tptp.one))))
% 18.93/19.16  (assume a2053 (forall ((N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat N) tptp.one_one_nat) (= N tptp.one))))
% 18.93/19.16  (assume a2054 (forall ((N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int N) tptp.one_one_int) (= N tptp.one))))
% 18.93/19.16  (assume a2055 (forall ((N tptp.num)) (= (= (tptp.numera1916890842035813515d_enat N) tptp.one_on7984719198319812577d_enat) (= N tptp.one))))
% 18.93/19.16  (assume a2056 (forall ((N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real N) tptp.one_one_real) (= N tptp.one))))
% 18.93/19.16  (assume a2057 (forall ((N tptp.num)) (= (= (tptp.numera6620942414471956472nteger N) tptp.one_one_Code_integer) (= N tptp.one))))
% 18.93/19.16  (assume a2058 (forall ((N tptp.num)) (= (= tptp.one_one_complex (tptp.numera6690914467698888265omplex N)) (= tptp.one N))))
% 18.93/19.16  (assume a2059 (forall ((N tptp.num)) (= (= tptp.one_one_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= tptp.one N))))
% 18.93/19.16  (assume a2060 (forall ((N tptp.num)) (= (= tptp.one_one_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= tptp.one N))))
% 18.93/19.16  (assume a2061 (forall ((N tptp.num)) (= (= tptp.one_one_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (= tptp.one N))))
% 18.93/19.16  (assume a2062 (forall ((N tptp.num)) (= (= tptp.one_on7984719198319812577d_enat (tptp.numera1916890842035813515d_enat N)) (= tptp.one N))))
% 18.93/19.16  (assume a2063 (forall ((N tptp.num)) (= (= tptp.one_one_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (= tptp.one N))))
% 18.93/19.16  (assume a2064 (forall ((N tptp.num)) (= (= tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger N)) (= tptp.one N))))
% 18.93/19.16  (assume a2065 (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.power_power_real A) M) (tptp.aa_nat_real (tptp.power_power_real A) N)) (= M N)))))
% 18.93/19.16  (assume a2066 (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)))))
% 18.93/19.16  (assume a2067 (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)))))
% 18.93/19.16  (assume a2068 (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)))))
% 18.93/19.16  (assume a2069 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.one_one_real) tptp.zero_zero_real) tptp.one_one_real))
% 18.93/19.16  (assume a2070 (= (tptp.aa_rat_rat (tptp.ord_max_rat tptp.one_one_rat) tptp.zero_zero_rat) tptp.one_one_rat))
% 18.93/19.16  (assume a2071 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.one_one_nat) tptp.zero_zero_nat) tptp.one_one_nat))
% 18.93/19.16  (assume a2072 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.one_one_int) tptp.zero_zero_int) tptp.one_one_int))
% 18.93/19.16  (assume a2073 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.zero_zero_real) tptp.one_one_real) tptp.one_one_real))
% 18.93/19.16  (assume a2074 (= (tptp.aa_rat_rat (tptp.ord_max_rat tptp.zero_zero_rat) tptp.one_one_rat) tptp.one_one_rat))
% 18.93/19.16  (assume a2075 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) tptp.one_one_nat) tptp.one_one_nat))
% 18.93/19.16  (assume a2076 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.zero_zero_int) tptp.one_one_int) tptp.one_one_int))
% 18.93/19.16  (assume a2077 (forall ((X2 tptp.num)) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X2))))
% 18.93/19.16  (assume a2078 (forall ((X2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X2)) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X2))))
% 18.93/19.16  (assume a2079 (forall ((X2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X2))))
% 18.93/19.16  (assume a2080 (forall ((X2 tptp.num)) (= (tptp.ord_ma741700101516333627d_enat (tptp.numera1916890842035813515d_enat X2) tptp.one_on7984719198319812577d_enat) (tptp.numera1916890842035813515d_enat X2))))
% 18.93/19.16  (assume a2081 (forall ((X2 tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X2))))
% 18.93/19.16  (assume a2082 (forall ((X2 tptp.num)) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger X2) tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger X2))))
% 18.93/19.16  (assume a2083 (forall ((X2 tptp.num)) (= (tptp.aa_rat_rat (tptp.ord_max_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) (tptp.aa_num_rat tptp.numeral_numeral_rat X2))))
% 18.93/19.16  (assume a2084 (forall ((X2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X2)) (tptp.aa_num_nat tptp.numeral_numeral_nat X2))))
% 18.93/19.16  (assume a2085 (forall ((X2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X2)) (tptp.aa_num_int tptp.numeral_numeral_int X2))))
% 18.93/19.16  (assume a2086 (forall ((X2 tptp.num)) (= (tptp.ord_ma741700101516333627d_enat tptp.one_on7984719198319812577d_enat (tptp.numera1916890842035813515d_enat X2)) (tptp.numera1916890842035813515d_enat X2))))
% 18.93/19.16  (assume a2087 (forall ((X2 tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real X2))))
% 18.93/19.16  (assume a2088 (forall ((X2 tptp.num)) (= (tptp.ord_max_Code_integer tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger X2)) (tptp.numera6620942414471956472nteger X2))))
% 18.93/19.16  (assume a2089 (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))))))
% 18.93/19.16  (assume a2090 (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))))))
% 18.93/19.16  (assume a2091 (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))))))
% 18.93/19.16  (assume a2092 (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))))
% 18.93/19.16  (assume a2093 (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))))))
% 18.93/19.16  (assume a2094 (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)))))
% 18.93/19.16  (assume a2095 (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)))))
% 18.93/19.16  (assume a2096 (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)))))
% 18.93/19.16  (assume a2097 (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)))))
% 18.93/19.16  (assume a2098 (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)))))
% 18.93/19.16  (assume a2099 (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)))))
% 18.93/19.16  (assume a2100 (forall ((A tptp.rat) (B 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 B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a2101 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a2102 (forall ((A tptp.rat) (B 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 B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 18.93/19.16  (assume a2103 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 18.93/19.16  (assume a2104 (forall ((A tptp.rat) (B 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 B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 18.93/19.16  (assume a2105 (forall ((A tptp.real) (B 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 B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 18.93/19.16  (assume a2106 (forall ((A tptp.rat) (B 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 B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.16  (assume a2107 (forall ((A tptp.real) (B 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 B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.16  (assume a2108 (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)))))
% 18.93/19.16  (assume a2109 (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)))))
% 18.93/19.16  (assume a2110 (forall ((A tptp.real) (B tptp.real) (W2 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 B) (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (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 W2))) B)))))
% 18.93/19.16  (assume a2111 (forall ((A tptp.rat) (B tptp.rat) (W2 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 B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) B)))))
% 18.93/19.16  (assume a2112 (forall ((B tptp.real) (W2 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 B) (tptp.aa_num_real tptp.numeral_numeral_real W2))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W2)))))))
% 18.93/19.16  (assume a2113 (forall ((B tptp.rat) (W2 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 B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))))))
% 18.93/19.16  (assume a2114 (forall ((A tptp.complex) (B tptp.complex) (W2 tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W2))) (and (=> (not (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W2)) B)) (=> (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 18.93/19.16  (assume a2115 (forall ((A tptp.rat) (B tptp.rat) (W2 tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) B)) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a2116 (forall ((A tptp.real) (B tptp.real) (W2 tptp.num)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W2))) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W2) 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 W2)) B)) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W2) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 18.93/19.16  (assume a2117 (forall ((B tptp.complex) (W2 tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W2)) A) (and (=> (not (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W2)))) (=> (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 18.93/19.16  (assume a2118 (forall ((B tptp.rat) (W2 tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) A) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a2119 (forall ((B tptp.real) (W2 tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W2)) A) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W2) tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W2) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 18.93/19.16  (assume a2120 (forall ((A tptp.rat) (B tptp.rat) (W2 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 B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) B)))))
% 18.93/19.16  (assume a2121 (forall ((A tptp.real) (B tptp.real) (W2 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 B) (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (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 W2))) B)))))
% 18.93/19.16  (assume a2122 (forall ((B tptp.rat) (W2 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 B) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))))))
% 18.93/19.16  (assume a2123 (forall ((B tptp.real) (W2 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 B) (tptp.aa_num_real tptp.numeral_numeral_real W2))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W2)))))))
% 18.93/19.16  (assume a2124 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 18.93/19.16  (assume a2125 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)))))
% 18.93/19.16  (assume a2126 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)))))
% 18.93/19.16  (assume a2127 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) B)))))
% 18.93/19.16  (assume a2128 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) B)))))
% 18.93/19.16  (assume a2129 (forall ((A tptp.real) (B 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) B)))))
% 18.93/19.16  (assume a2130 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B 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 B) C)) A)) B) (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) B))))))
% 18.93/19.16  (assume a2131 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_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 B) C)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.16  (assume a2132 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B 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) B)) A)) B) (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) B))))))
% 18.93/19.16  (assume a2133 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_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) B)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.16  (assume a2134 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B 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 B) C))) B) (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) B))))))
% 18.93/19.16  (assume a2135 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_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 B) C))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.16  (assume a2136 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B 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) B))) B) (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) B))))))
% 18.93/19.16  (assume a2137 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_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) B))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.16  (assume a2138 (forall ((B tptp.real) (X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real B) X2)) (tptp.aa_nat_real (tptp.power_power_real B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))))))
% 18.93/19.16  (assume a2139 (forall ((B tptp.rat) (X2 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) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat B) X2)) (tptp.aa_nat_rat (tptp.power_power_rat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))))))
% 18.93/19.16  (assume a2140 (forall ((B tptp.nat) (X2 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) B)) (= (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 B) X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))))))
% 18.93/19.16  (assume a2141 (forall ((B tptp.int) (X2 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) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) X2)) (tptp.aa_nat_int (tptp.power_power_int B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y))))))
% 18.93/19.16  (assume a2142 (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))))))
% 18.93/19.16  (assume a2143 (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))))))
% 18.93/19.16  (assume a2144 (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))))
% 18.93/19.16  (assume a2145 (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))))
% 18.93/19.16  (assume a2146 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 18.93/19.16  (assume a2147 (forall ((A tptp.rat) (B 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 B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 18.93/19.16  (assume a2148 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 18.93/19.16  (assume a2149 (forall ((A tptp.rat) (B 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 B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 18.93/19.16  (assume a2150 (forall ((A tptp.real) (B 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 B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 18.93/19.16  (assume a2151 (forall ((A tptp.rat) (B 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 B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 18.93/19.16  (assume a2152 (forall ((A tptp.real) (B 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 B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 18.93/19.16  (assume a2153 (forall ((A tptp.rat) (B 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 B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 18.93/19.16  (assume a2154 (= (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))))
% 18.93/19.16  (assume a2155 (= (tptp.aa_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))))
% 18.93/19.16  (assume a2156 (= (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))))
% 18.93/19.16  (assume a2157 (= (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))))
% 18.93/19.16  (assume a2158 (= (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat tptp.one_on7984719198319812577d_enat) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 18.93/19.16  (assume a2159 (= (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))))
% 18.93/19.16  (assume a2160 (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 18.93/19.16  (assume a2161 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real B) M)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 18.93/19.16  (assume a2162 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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 B) M)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 18.93/19.16  (assume a2163 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) 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 B) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 18.93/19.16  (assume a2164 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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 B) M)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 18.93/19.16  (assume a2165 (forall ((B tptp.real) (X2 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real B) X2)) (tptp.aa_nat_real (tptp.power_power_real B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))))))
% 18.93/19.16  (assume a2166 (forall ((B tptp.rat) (X2 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) B)) (= (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 B) X2)) (tptp.aa_nat_rat (tptp.power_power_rat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))))))
% 18.93/19.16  (assume a2167 (forall ((B tptp.nat) (X2 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) B)) (= (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 B) X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))))))
% 18.93/19.16  (assume a2168 (forall ((B tptp.int) (X2 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) B)) (= (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 B) X2)) (tptp.aa_nat_int (tptp.power_power_int B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y))))))
% 18.93/19.16  (assume a2169 (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)))))
% 18.93/19.16  (assume a2170 (forall ((N tptp.num)) (= (tptp.aa_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)))))
% 18.93/19.16  (assume a2171 (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)))))
% 18.93/19.16  (assume a2172 (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)))))
% 18.93/19.16  (assume a2173 (forall ((N tptp.num)) (= (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat N) tptp.one_on7984719198319812577d_enat) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 18.93/19.16  (assume a2174 (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)))))
% 18.93/19.16  (assume a2175 (forall ((N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger N) tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 18.93/19.16  (assume a2176 (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)))))
% 18.93/19.16  (assume a2177 (forall ((N tptp.num)) (= (tptp.aa_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)))))
% 18.93/19.16  (assume a2178 (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)))))
% 18.93/19.16  (assume a2179 (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)))))
% 18.93/19.16  (assume a2180 (forall ((N tptp.num)) (= (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat (tptp.numera1916890842035813515d_enat N)) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 18.93/19.16  (assume a2181 (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)))))
% 18.93/19.16  (assume a2182 (forall ((N tptp.num)) (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 18.93/19.16  (assume a2183 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 18.93/19.16  (assume a2184 (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)))))
% 18.93/19.16  (assume a2185 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger N)) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 18.93/19.16  (assume a2186 (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)))))
% 18.93/19.16  (assume a2187 (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)))))
% 18.93/19.16  (assume a2188 (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)))))
% 18.93/19.16  (assume a2189 (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)))))
% 18.93/19.16  (assume a2190 (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)))))
% 18.93/19.16  (assume a2191 (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)))))
% 18.93/19.16  (assume a2192 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) (tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 18.93/19.16  (assume a2193 (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)))))
% 18.93/19.16  (assume a2194 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 18.93/19.16  (assume a2195 (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 18.93/19.16  (assume a2196 (= (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))
% 18.93/19.16  (assume a2197 (= (tptp.aa_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))
% 18.93/19.16  (assume a2198 (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 18.93/19.16  (assume a2199 (= (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))
% 18.93/19.16  (assume a2200 (= (tptp.aa_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))
% 18.93/19.16  (assume a2201 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real B) M)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 18.93/19.16  (assume a2202 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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 B) M)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 18.93/19.16  (assume a2203 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) 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 B) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 18.93/19.16  (assume a2204 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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 B) M)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 18.93/19.16  (assume a2205 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2206 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) C) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.16  (assume a2207 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2208 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2209 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 18.93/19.16  (assume a2210 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 18.93/19.16  (assume a2211 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat tptp.one_one_rat) A) A)))
% 18.93/19.16  (assume a2212 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 18.93/19.16  (assume a2213 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 18.93/19.16  (assume a2214 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2215 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) C) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.16  (assume a2216 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2217 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2218 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) A))))
% 18.93/19.16  (assume a2219 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) B) (tptp.aa_rat_rat (tptp.times_times_rat B) A))))
% 18.93/19.16  (assume a2220 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) A))))
% 18.93/19.16  (assume a2221 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A))))
% 18.93/19.16  (assume a2222 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 18.93/19.16  (assume a2223 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 18.93/19.16  (assume a2224 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) tptp.one_one_rat) A)))
% 18.93/19.16  (assume a2225 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 18.93/19.16  (assume a2226 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 18.93/19.16  (assume a2227 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) (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 B) C)))))
% 18.93/19.16  (assume a2228 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.16  (assume a2229 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (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 B) C)))))
% 18.93/19.16  (assume a2230 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (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 B) C)))))
% 18.93/19.16  (assume a2231 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)))
% 18.93/19.16  (assume a2232 (forall ((X2 tptp.complex)) (= (= tptp.one_one_complex X2) (= X2 tptp.one_one_complex))))
% 18.93/19.16  (assume a2233 (forall ((X2 tptp.real)) (= (= tptp.one_one_real X2) (= X2 tptp.one_one_real))))
% 18.93/19.16  (assume a2234 (forall ((X2 tptp.rat)) (= (= tptp.one_one_rat X2) (= X2 tptp.one_one_rat))))
% 18.93/19.16  (assume a2235 (forall ((X2 tptp.nat)) (= (= tptp.one_one_nat X2) (= X2 tptp.one_one_nat))))
% 18.93/19.16  (assume a2236 (forall ((X2 tptp.int)) (= (= tptp.one_one_int X2) (= X2 tptp.one_one_int))))
% 18.93/19.16  (assume a2237 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)))
% 18.93/19.16  (assume a2238 (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)))))))
% 18.93/19.16  (assume a2239 (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.times_times_rat M) N)))))))
% 18.93/19.16  (assume a2240 (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)))))))
% 18.93/19.16  (assume a2241 (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)))))))
% 18.93/19.16  (assume a2242 (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)))))
% 18.93/19.16  (assume a2243 (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)))))
% 18.93/19.16  (assume a2244 (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))))
% 18.93/19.16  (assume a2245 (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))))))
% 18.93/19.16  (assume a2246 (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.times_times_rat A) C)) A))))))
% 18.93/19.16  (assume a2247 (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))))))
% 18.93/19.16  (assume a2248 (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))))))
% 18.93/19.16  (assume a2249 (forall ((A tptp.real) (B 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B)) tptp.one_one_real)))))))
% 18.93/19.16  (assume a2250 (forall ((A tptp.rat) (B 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) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) 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.times_times_rat A) B)) tptp.one_one_rat)))))))
% 18.93/19.16  (assume a2251 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) 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) B)) tptp.one_one_nat)))))))
% 18.93/19.16  (assume a2252 (forall ((A tptp.int) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) 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) B)) tptp.one_one_int)))))))
% 18.93/19.16  (assume a2253 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) X2)))))))
% 18.93/19.16  (assume a2254 (forall ((X2 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) X2)) (=> (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.times_times_rat X2) Y)) X2)))))))
% 18.93/19.16  (assume a2255 (forall ((X2 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) X2)) (=> (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 X2) Y)) X2)))))))
% 18.93/19.16  (assume a2256 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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) X2)) X2)))))))
% 18.93/19.16  (assume a2257 (forall ((X2 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) X2)) (=> (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.times_times_rat Y) X2)) X2)))))))
% 18.93/19.16  (assume a2258 (forall ((X2 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) X2)) (=> (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) X2)) X2)))))))
% 18.93/19.16  (assume a2259 (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.power_power_real A) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 18.93/19.16  (assume a2260 (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.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 18.93/19.16  (assume a2261 (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)))))))
% 18.93/19.16  (assume a2262 (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)))))))
% 18.93/19.16  (assume a2263 (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.power_power_real A) N)))))))
% 18.93/19.16  (assume a2264 (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.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 18.93/19.16  (assume a2265 (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)))))))
% 18.93/19.16  (assume a2266 (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)))))))
% 18.93/19.16  (assume a2267 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) (tptp.aa_complex_complex (tptp.times_times_complex B) C)) (= A B)))))
% 18.93/19.16  (assume a2268 (forall ((C tptp.real) (A tptp.real) (B 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 B) C)) (= A B)))))
% 18.93/19.16  (assume a2269 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) (tptp.aa_rat_rat (tptp.times_times_rat B) C)) (= A B)))))
% 18.93/19.16  (assume a2270 (forall ((C tptp.nat) (A tptp.nat) (B 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 B) C)) (= A B)))))
% 18.93/19.16  (assume a2271 (forall ((C tptp.int) (A tptp.int) (B 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 B) C)) (= A B)))))
% 18.93/19.16  (assume a2272 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex C) A) (tptp.aa_complex_complex (tptp.times_times_complex C) B)) (= A B)))))
% 18.93/19.16  (assume a2273 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (= A B)))))
% 18.93/19.16  (assume a2274 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat C) A) (tptp.aa_rat_rat (tptp.times_times_rat C) B)) (= A B)))))
% 18.93/19.16  (assume a2275 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (= A B)))))
% 18.93/19.16  (assume a2276 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (= A B)))))
% 18.93/19.16  (assume a2277 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) tptp.zero_zero_complex))))))
% 18.93/19.16  (assume a2278 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) tptp.zero_zero_real))))))
% 18.93/19.16  (assume a2279 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B tptp.zero_zero_rat)) (not (= (tptp.aa_rat_rat (tptp.times_times_rat A) B) tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a2280 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (not (= B tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a2281 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (not (= B tptp.zero_zero_int)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) tptp.zero_zero_int))))))
% 18.93/19.16  (assume a2282 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 18.93/19.16  (assume a2283 (forall ((A tptp.real) (B tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 18.93/19.16  (assume a2284 (forall ((A tptp.rat) (B tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.times_times_rat A) B) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B tptp.zero_zero_rat)))))
% 18.93/19.16  (assume a2285 (forall ((A tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 18.93/19.16  (assume a2286 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 18.93/19.16  (assume a2287 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) tptp.zero_zero_complex)) (and (not (= A tptp.zero_zero_complex)) (not (= B tptp.zero_zero_complex))))))
% 18.93/19.16  (assume a2288 (forall ((A tptp.real) (B tptp.real)) (=> (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) tptp.zero_zero_real)) (and (not (= A tptp.zero_zero_real)) (not (= B tptp.zero_zero_real))))))
% 18.93/19.16  (assume a2289 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= (tptp.aa_rat_rat (tptp.times_times_rat A) B) tptp.zero_zero_rat)) (and (not (= A tptp.zero_zero_rat)) (not (= B tptp.zero_zero_rat))))))
% 18.93/19.16  (assume a2290 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) tptp.zero_zero_nat)) (and (not (= A tptp.zero_zero_nat)) (not (= B tptp.zero_zero_nat))))))
% 18.93/19.16  (assume a2291 (forall ((A tptp.int) (B tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) tptp.zero_zero_int)) (and (not (= A tptp.zero_zero_int)) (not (= B tptp.zero_zero_int))))))
% 18.93/19.16  (assume a2292 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (and (not (= A B)) (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 B) 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 B) C)))))))
% 18.93/19.16  (assume a2293 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) D)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))))
% 18.93/19.16  (assume a2294 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (and (not (= A B)) (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 B) 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 B) C)))))))
% 18.93/19.16  (assume a2295 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (and (not (= A B)) (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 B) 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 B) C)))))))
% 18.93/19.16  (assume a2296 (forall ((W2 tptp.real) (Y tptp.real) (X2 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 W2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) 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 W2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) Y))) (or (= W2 X2) (= Y Z)))))
% 18.93/19.16  (assume a2297 (forall ((W2 tptp.rat) (Y tptp.rat) (X2 tptp.rat) (Z tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat W2) Y)) (tptp.aa_rat_rat (tptp.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat W2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat X2) Y))) (or (= W2 X2) (= Y Z)))))
% 18.93/19.16  (assume a2298 (forall ((W2 tptp.nat) (Y tptp.nat) (X2 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 W2) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X2) 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 W2) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X2) Y))) (or (= W2 X2) (= Y Z)))))
% 18.93/19.16  (assume a2299 (forall ((W2 tptp.int) (Y tptp.int) (X2 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 W2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X2) 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 W2) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X2) Y))) (or (= W2 X2) (= Y Z)))))
% 18.93/19.16  (assume a2300 (forall ((A tptp.real) (E2 tptp.real) (B 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) E2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E2)) 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) B)) E2)) C))))
% 18.93/19.16  (assume a2301 (forall ((A tptp.rat) (E2 tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) E2)) C))))
% 18.93/19.16  (assume a2302 (forall ((A tptp.nat) (E2 tptp.nat) (B 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) E2)) (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 B) E2)) 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) B)) E2)) C))))
% 18.93/19.16  (assume a2303 (forall ((A tptp.int) (E2 tptp.int) (B 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) E2)) (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) E2)) 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) B)) E2)) C))))
% 18.93/19.16  (assume a2304 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2305 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.16  (assume a2306 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2307 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.16  (assume a2308 (forall ((A tptp.real) (B 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 B) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 18.93/19.16  (assume a2309 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))
% 18.93/19.16  (assume a2310 (forall ((A tptp.nat) (B 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 B) 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)))))
% 18.93/19.16  (assume a2311 (forall ((A tptp.int) (B 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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 18.93/19.17  (assume a2312 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.17  (assume a2313 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.17  (assume a2314 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 18.93/19.17  (assume a2315 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.17  (assume a2316 (forall ((A tptp.real) (B 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 B) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 18.93/19.17  (assume a2317 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))
% 18.93/19.17  (assume a2318 (forall ((A tptp.int) (B 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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 18.93/19.17  (assume a2319 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 18.93/19.17  (assume a2320 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 18.93/19.17  (assume a2321 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 18.93/19.17  (assume a2322 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat) (W2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat Z) W2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat Y) W2)))))
% 18.93/19.17  (assume a2323 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) W2)))))
% 18.93/19.17  (assume a2324 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat) (W2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat Z) W2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) W2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z)))))
% 18.93/19.17  (assume a2325 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))
% 18.93/19.17  (assume a2326 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) C) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))
% 18.93/19.17  (assume a2327 (forall ((A tptp.real) (B 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) B)) 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) B)))))
% 18.93/19.17  (assume a2328 (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)))
% 18.93/19.17  (assume a2329 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.one_one_real)))
% 18.93/19.17  (assume a2330 (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)))
% 18.93/19.17  (assume a2331 (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)))
% 18.93/19.17  (assume a2332 (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)))
% 18.93/19.17  (assume a2333 (not (= tptp.zero_zero_complex tptp.one_one_complex)))
% 18.93/19.17  (assume a2334 (not (= tptp.zero_zero_real tptp.one_one_real)))
% 18.93/19.17  (assume a2335 (not (= tptp.zero_zero_rat tptp.one_one_rat)))
% 18.93/19.17  (assume a2336 (not (= tptp.zero_zero_nat tptp.one_one_nat)))
% 18.93/19.17  (assume a2337 (not (= tptp.zero_zero_int tptp.one_one_int)))
% 18.93/19.17  (assume a2338 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.one_one_real))))
% 18.93/19.17  (assume a2339 (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))))
% 18.93/19.17  (assume a2340 (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))))
% 18.93/19.17  (assume a2341 (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))))
% 18.93/19.17  (assume a2342 (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))))))
% 18.93/19.17  (assume a2343 (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))))))
% 18.93/19.17  (assume a2344 (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)))))))
% 18.93/19.17  (assume a2345 (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)))))
% 18.93/19.17  (assume a2346 (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))))))
% 18.93/19.17  (assume a2347 (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)))))
% 18.93/19.17  (assume a2348 (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)))))
% 18.93/19.17  (assume a2349 (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))))))
% 18.93/19.17  (assume a2350 (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)))))
% 18.93/19.17  (assume a2351 (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)))))
% 18.93/19.17  (assume a2352 (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)))))
% 18.93/19.17  (assume a2353 (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)))))
% 18.93/19.17  (assume a2354 (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))))
% 18.93/19.17  (assume a2355 (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))))
% 18.93/19.17  (assume a2356 (forall ((X2 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) X2)) Y))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))
% 18.93/19.17  (assume a2357 (forall ((X2 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.times_times_rat Z2) X2)) Y))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 18.93/19.17  (assume a2358 (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)))))))
% 18.93/19.17  (assume a2359 (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.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)))))))
% 18.93/19.17  (assume a2360 (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)))))))
% 18.93/19.17  (assume a2361 (forall ((C tptp.real) (B 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 B) 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) B))) (=> (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 B) tptp.one_one_real)))))))
% 18.93/19.17  (assume a2362 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))) (=> (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 B) tptp.one_one_rat)))))))
% 18.93/19.17  (assume a2363 (forall ((C tptp.int) (B 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 B) 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) B))) (=> (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 B) tptp.one_one_int)))))))
% 18.93/19.17  (assume a2364 (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)))))))
% 18.93/19.17  (assume a2365 (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.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)))))))
% 18.93/19.17  (assume a2366 (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)))))))
% 18.93/19.17  (assume a2367 (forall ((C tptp.real) (B 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) B))) (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) B))) (=> (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 B) tptp.one_one_real)))))))
% 18.93/19.17  (assume a2368 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (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) B))) (=> (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 B) tptp.one_one_rat)))))))
% 18.93/19.17  (assume a2369 (forall ((C tptp.int) (B 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) B))) (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) B))) (=> (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 B) tptp.one_one_int)))))))
% 18.93/19.17  (assume a2370 (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)))))))
% 18.93/19.17  (assume a2371 (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.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)))))))
% 18.93/19.17  (assume a2372 (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)))))))
% 18.93/19.17  (assume a2373 (forall ((C tptp.real) (B 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 B) 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) B))) (=> (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 B) tptp.one_one_real)))))))
% 18.93/19.17  (assume a2374 (forall ((C tptp.rat) (B 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.times_times_rat B) 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) B))) (=> (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 B) tptp.one_one_rat)))))))
% 18.93/19.17  (assume a2375 (forall ((C tptp.int) (B 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 B) 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) B))) (=> (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 B) tptp.one_one_int)))))))
% 18.93/19.17  (assume a2376 (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)))))))
% 18.93/19.17  (assume a2377 (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.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)))))))
% 18.93/19.17  (assume a2378 (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)))))))
% 18.93/19.17  (assume a2379 (forall ((C tptp.real) (B 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) B))) (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) B))) (=> (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 B) tptp.one_one_real)))))))
% 18.93/19.17  (assume a2380 (forall ((C tptp.rat) (B 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.times_times_rat C) B))) (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) B))) (=> (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 B) tptp.one_one_rat)))))))
% 18.93/19.17  (assume a2381 (forall ((C tptp.int) (B 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) B))) (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) B))) (=> (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 B) tptp.one_one_int)))))))
% 18.93/19.17  (assume a2382 (forall ((X2 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 X2) 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) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 18.93/19.17  (assume a2383 (forall ((X2 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 X2) 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.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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat U) X2)) (tptp.aa_rat_rat (tptp.times_times_rat V) Y))) A)))))))))
% 18.93/19.17  (assume a2384 (forall ((X2 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 X2) 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) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 18.93/19.17  (assume a2385 (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.power_power_real A) N))) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 18.93/19.17  (assume a2386 (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.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 18.93/19.17  (assume a2387 (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)))))))
% 18.93/19.17  (assume a2388 (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)))))))
% 18.93/19.17  (assume a2389 (forall ((X2 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 X2) 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) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 18.93/19.17  (assume a2390 (forall ((X2 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 X2) 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.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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat U) X2)) (tptp.aa_rat_rat (tptp.times_times_rat V) Y))) A)))))))))
% 18.93/19.17  (assume a2391 (forall ((X2 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 X2) 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) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 18.93/19.17  (assume a2392 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2393 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2394 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2395 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2396 (forall ((A tptp.real) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_real)))))))
% 18.93/19.17  (assume a2397 (forall ((A tptp.rat) (B 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.times_times_rat A) B))) (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) B))) (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 B) tptp.zero_zero_rat)))))))
% 18.93/19.17  (assume a2398 (forall ((A tptp.int) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_int)))))))
% 18.93/19.17  (assume a2399 (forall ((A tptp.real) (B 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 B) 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 B) A)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2400 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat B) A)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2401 (forall ((A tptp.nat) (B 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 B) 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 B) A)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2402 (forall ((A tptp.int) (B 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 B) 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 B) A)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2403 (forall ((A tptp.real) (B 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) B)) (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) B)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2404 (forall ((A tptp.rat) (B 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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2405 (forall ((A tptp.nat) (B 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) B)) (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) B)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2406 (forall ((A tptp.int) (B 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) B)) (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) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2407 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2408 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2409 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2410 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2411 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2412 (forall ((A tptp.rat) (B 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) B)) (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.times_times_rat A) B)))))))
% 18.93/19.17  (assume a2413 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2414 (forall ((A tptp.int) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2415 (forall ((A tptp.real) (B 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 B) 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) B)))) (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) B)) tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2416 (forall ((A tptp.rat) (B 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 B) 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) B)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2417 (forall ((A tptp.nat) (B 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 B) 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) B)))) (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) B)) tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a2418 (forall ((A tptp.int) (B 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 B) 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) B)))) (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) B)) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a2419 (forall ((A tptp.real) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2420 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2421 (forall ((A tptp.int) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2422 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2423 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))))
% 18.93/19.17  (assume a2424 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2425 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2426 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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 B) C)))))))
% 18.93/19.17  (assume a2427 (forall ((B 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 B) 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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))))
% 18.93/19.17  (assume a2428 (forall ((B 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 B) 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 B) C)))))))
% 18.93/19.17  (assume a2429 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2430 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2431 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2432 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2433 (forall ((A tptp.real) (B 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 B) 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) B)))))))
% 18.93/19.17  (assume a2434 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) B)))))))
% 18.93/19.17  (assume a2435 (forall ((A tptp.int) (B 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 B) 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) B)))))))
% 18.93/19.17  (assume a2436 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B)))))))
% 18.93/19.17  (assume a2437 (forall ((B 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 B) 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2438 (forall ((B 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 B) 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) B)))))))
% 18.93/19.17  (assume a2439 (forall ((A tptp.real) (B 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) B))) (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 B) 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) B))))))
% 18.93/19.17  (assume a2440 (forall ((A tptp.rat) (B 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) B))) (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 B) 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.times_times_rat A) B))))))
% 18.93/19.17  (assume a2441 (forall ((A tptp.int) (B 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) B))) (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 B) 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) B))))))
% 18.93/19.17  (assume a2442 (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)))))
% 18.93/19.17  (assume a2443 (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.times_times_rat A) A)))))
% 18.93/19.17  (assume a2444 (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)))))
% 18.93/19.17  (assume a2445 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2446 (forall ((A tptp.rat) (B 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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2447 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2448 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2449 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2450 (forall ((A tptp.rat) (B 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) B)) (=> (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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2451 (forall ((A tptp.nat) (B 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) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2452 (forall ((A tptp.int) (B 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) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2453 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2454 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2455 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2456 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2457 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2458 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2459 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2460 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2461 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))))
% 18.93/19.17  (assume a2462 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2463 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a2464 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) 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 B) C)))))))
% 18.93/19.17  (assume a2465 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))))
% 18.93/19.17  (assume a2466 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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 B) C)))))))
% 18.93/19.17  (assume a2467 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2468 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2469 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2470 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2471 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2472 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2473 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (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) B)))))))
% 18.93/19.17  (assume a2474 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) 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) B)))))))
% 18.93/19.17  (assume a2475 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B)))))))
% 18.93/19.17  (assume a2476 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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) B)))))))
% 18.93/19.17  (assume a2477 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 18.93/19.17  (assume a2478 (forall ((C tptp.rat) (A tptp.rat) (B 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 18.93/19.17  (assume a2479 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 18.93/19.17  (assume a2480 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 18.93/19.17  (assume a2481 (forall ((C tptp.rat) (A tptp.rat) (B 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 18.93/19.17  (assume a2482 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 18.93/19.17  (assume a2483 (forall ((B 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 B) 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) B))))))
% 18.93/19.17  (assume a2484 (forall ((B 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.times_times_rat B) 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) B))))))
% 18.93/19.17  (assume a2485 (forall ((B 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 B) 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) B))))))
% 18.93/19.17  (assume a2486 (forall ((B 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 B) 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) B))))))
% 18.93/19.17  (assume a2487 (forall ((A tptp.real) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2488 (forall ((A tptp.rat) (B 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.times_times_rat A) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2489 (forall ((A tptp.nat) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2490 (forall ((A tptp.int) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2491 (forall ((A tptp.real) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_real)))))))
% 18.93/19.17  (assume a2492 (forall ((A tptp.rat) (B 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.times_times_rat A) B))) (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) B))) (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 B) tptp.zero_zero_rat)))))))
% 18.93/19.17  (assume a2493 (forall ((A tptp.int) (B 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) B))) (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) B))) (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 B) tptp.zero_zero_int)))))))
% 18.93/19.17  (assume a2494 (forall ((A tptp.real) (B 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 B) 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 B) A)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2495 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat B) A)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2496 (forall ((A tptp.nat) (B 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 B) 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 B) A)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2497 (forall ((A tptp.int) (B 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 B) 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 B) A)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2498 (forall ((A tptp.real) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2499 (forall ((A tptp.rat) (B 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) B)) (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.times_times_rat A) B)))))))
% 18.93/19.17  (assume a2500 (forall ((A tptp.nat) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2501 (forall ((A tptp.int) (B 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) B)) (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) B)))))))
% 18.93/19.17  (assume a2502 (forall ((A tptp.real) (B 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 B) 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) B)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2503 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2504 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2505 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2506 (forall ((A tptp.real) (B 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) B)) (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) B)) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2507 (forall ((A tptp.rat) (B 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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2508 (forall ((A tptp.nat) (B 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) B)) (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) B)) tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2509 (forall ((A tptp.int) (B 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_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2510 (forall ((A tptp.real) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2511 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2512 (forall ((A tptp.int) (B 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) B)) 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 B) 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) B)))))))
% 18.93/19.17  (assume a2513 (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)))))
% 18.93/19.17  (assume a2514 (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.times_times_rat A) A)) tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2515 (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)))))
% 18.93/19.17  (assume a2516 (forall ((A tptp.real) (B 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 B) 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) B)))))))
% 18.93/19.17  (assume a2517 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) B)))))))
% 18.93/19.17  (assume a2518 (forall ((A tptp.int) (B 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 B) 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) B)))))))
% 18.93/19.17  (assume a2519 (forall ((R2 tptp.complex) (A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (=> (not (= R2 tptp.zero_zero_complex)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex R2) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) (tptp.aa_complex_complex (tptp.times_times_complex R2) D))))))))
% 18.93/19.17  (assume a2520 (forall ((R2 tptp.real) (A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (not (= R2 tptp.zero_zero_real)) (=> (and (= A B) (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 B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) D))))))))
% 18.93/19.17  (assume a2521 (forall ((R2 tptp.rat) (A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (not (= R2 tptp.zero_zero_rat)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.times_times_rat R2) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.times_times_rat R2) D))))))))
% 18.93/19.17  (assume a2522 (forall ((R2 tptp.nat) (A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (not (= R2 tptp.zero_zero_nat)) (=> (and (= A B) (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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) D))))))))
% 18.93/19.17  (assume a2523 (forall ((R2 tptp.int) (A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (not (= R2 tptp.zero_zero_int)) (=> (and (= A B) (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 B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) D))))))))
% 18.93/19.17  (assume a2524 (forall ((Y tptp.complex) (Z tptp.complex) (X2 tptp.complex) (W2 tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X2) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W2) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex X2) Z) (tptp.aa_complex_complex (tptp.times_times_complex W2) Y)))))))
% 18.93/19.17  (assume a2525 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat) (W2 tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat W2) Z)) (= (tptp.aa_rat_rat (tptp.times_times_rat X2) Z) (tptp.aa_rat_rat (tptp.times_times_rat W2) Y)))))))
% 18.93/19.17  (assume a2526 (forall ((Y tptp.real) (Z tptp.real) (X2 tptp.real) (W2 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 X2) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W2) Z)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W2) Y)))))))
% 18.93/19.17  (assume a2527 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) A) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 18.93/19.17  (assume a2528 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) C) A) (and (=> (not (= C tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.times_times_rat A) C))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2529 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C) A) (and (=> (not (= C tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2530 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B)) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 18.93/19.17  (assume a2531 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) B)) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2532 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B)) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2533 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= B (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) A)))))
% 18.93/19.17  (assume a2534 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (=> (= B (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) C) A)))))
% 18.93/19.17  (assume a2535 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= B (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 B) C) A)))))
% 18.93/19.17  (assume a2536 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B) (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C))))))
% 18.93/19.17  (assume a2537 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (=> (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) B) (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B) C))))))
% 18.93/19.17  (assume a2538 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C))))))
% 18.93/19.17  (assume a2539 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) A) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) C))))))
% 18.93/19.17  (assume a2540 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) C) A) (= B (tptp.aa_rat_rat (tptp.times_times_rat A) C))))))
% 18.93/19.17  (assume a2541 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C) A) (= B (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))))))
% 18.93/19.17  (assume a2542 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B)))))
% 18.93/19.17  (assume a2543 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) B)))))
% 18.93/19.17  (assume a2544 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B)))))
% 18.93/19.17  (assume a2545 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A) A)))
% 18.93/19.17  (assume a2546 (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)))
% 18.93/19.17  (assume a2547 (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)))
% 18.93/19.17  (assume a2548 (forall ((A tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat tptp.one) A) A)))
% 18.93/19.17  (assume a2549 (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)))
% 18.93/19.17  (assume a2550 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger tptp.one) A) A)))
% 18.93/19.17  (assume a2551 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A)))
% 18.93/19.17  (assume a2552 (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)))
% 18.93/19.17  (assume a2553 (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)))
% 18.93/19.17  (assume a2554 (forall ((A tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat A (tptp.numera1916890842035813515d_enat tptp.one)) A)))
% 18.93/19.17  (assume a2555 (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)))
% 18.93/19.17  (assume a2556 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger A (tptp.numera6620942414471956472nteger tptp.one)) A)))
% 18.93/19.17  (assume a2557 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B 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) B)) B) (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) B)) tptp.one_one_nat)))))
% 18.93/19.17  (assume a2558 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 18.93/19.17  (assume a2559 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B 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 B) A)) B) (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) B)) tptp.one_one_nat)))))
% 18.93/19.17  (assume a2560 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 18.93/19.17  (assume a2561 (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))))))
% 18.93/19.17  (assume a2562 (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)))))))
% 18.93/19.17  (assume a2563 (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)))))
% 18.93/19.17  (assume a2564 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real))))
% 18.93/19.17  (assume a2565 (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))))
% 18.93/19.17  (assume a2566 (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))))
% 18.93/19.17  (assume a2567 (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))))
% 18.93/19.17  (assume a2568 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 18.93/19.17  (assume a2569 (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)))
% 18.93/19.17  (assume a2570 (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)))
% 18.93/19.17  (assume a2571 (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)))
% 18.93/19.17  (assume a2572 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 18.93/19.17  (assume a2573 (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)))
% 18.93/19.17  (assume a2574 (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)))
% 18.93/19.17  (assume a2575 (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)))
% 18.93/19.17  (assume a2576 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.zero_zero_real))))
% 18.93/19.17  (assume a2577 (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))))
% 18.93/19.17  (assume a2578 (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))))
% 18.93/19.17  (assume a2579 (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))))
% 18.93/19.17  (assume a2580 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 18.93/19.17  (assume a2581 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 18.93/19.17  (assume a2582 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 18.93/19.17  (assume a2583 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 18.93/19.17  (assume a2584 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 18.93/19.17  (assume a2585 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 18.93/19.17  (assume a2586 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 18.93/19.17  (assume a2587 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 18.93/19.17  (assume a2588 (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)))))
% 18.93/19.17  (assume a2589 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_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.power_power_real A) M)) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 18.93/19.17  (assume a2590 (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.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 18.93/19.17  (assume a2591 (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)))))
% 18.93/19.17  (assume a2592 (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)))))
% 18.93/19.17  (assume a2593 (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)))))))
% 18.93/19.17  (assume a2594 (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)))))))
% 18.93/19.17  (assume a2595 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.17  (assume a2596 (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)))))
% 18.93/19.17  (assume a2597 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.17  (assume a2598 (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)))))
% 18.93/19.17  (assume a2599 (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)))))
% 18.93/19.17  (assume a2600 (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)))))
% 18.93/19.17  (assume a2601 (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)))))
% 18.93/19.17  (assume a2602 (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)))))
% 18.93/19.17  (assume a2603 (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)))))
% 18.93/19.17  (assume a2604 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat)))))
% 18.93/19.17  (assume a2605 (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)))))
% 18.93/19.17  (assume a2606 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger N)) tptp.one_one_Code_integer)))))
% 18.93/19.17  (assume a2607 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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 B) tptp.one_one_real))))))
% 18.93/19.17  (assume a2608 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) tptp.one_one_rat))))))
% 18.93/19.17  (assume a2609 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (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 B) tptp.one_one_nat))))))
% 18.93/19.17  (assume a2610 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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 B) tptp.one_one_int))))))
% 18.93/19.17  (assume a2611 (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)))))
% 18.93/19.17  (assume a2612 (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.plus_plus_rat A) tptp.one_one_rat)))))
% 18.93/19.17  (assume a2613 (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)))))
% 18.93/19.17  (assume a2614 (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)))))
% 18.93/19.17  (assume a2615 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) tptp.one_one_complex) (= A B)))))
% 18.93/19.17  (assume a2616 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B) tptp.one_one_rat) (= A B)))))
% 18.93/19.17  (assume a2617 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B) tptp.one_one_real) (= A B)))))
% 18.93/19.17  (assume a2618 (forall ((X2 tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex X2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X2)) tptp.one_one_complex))))
% 18.93/19.17  (assume a2619 (forall ((X2 tptp.num)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) tptp.one_one_rat))))
% 18.93/19.17  (assume a2620 (forall ((X2 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 X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X2)) tptp.one_one_nat))))
% 18.93/19.17  (assume a2621 (forall ((X2 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 X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) tptp.one_one_int))))
% 18.93/19.17  (assume a2622 (forall ((X2 tptp.num)) (= (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat (tptp.numera1916890842035813515d_enat X2)) (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat X2) tptp.one_on7984719198319812577d_enat))))
% 18.93/19.17  (assume a2623 (forall ((X2 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 X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) tptp.one_one_real))))
% 18.93/19.17  (assume a2624 (forall ((X2 tptp.num)) (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger X2)) (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger X2) tptp.one_one_Code_integer))))
% 18.93/19.17  (assume a2625 (= (tptp.numera6690914467698888265omplex tptp.one) tptp.one_one_complex))
% 18.93/19.17  (assume a2626 (= (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one) tptp.one_one_rat))
% 18.93/19.17  (assume a2627 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 18.93/19.17  (assume a2628 (= (tptp.aa_num_int tptp.numeral_numeral_int tptp.one) tptp.one_one_int))
% 18.93/19.17  (assume a2629 (= (tptp.numera1916890842035813515d_enat tptp.one) tptp.one_on7984719198319812577d_enat))
% 18.93/19.17  (assume a2630 (= (tptp.aa_num_real tptp.numeral_numeral_real tptp.one) tptp.one_one_real))
% 18.93/19.17  (assume a2631 (= (tptp.numera6620942414471956472nteger tptp.one) tptp.one_one_Code_integer))
% 18.93/19.17  (assume a2632 (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.power_power_real A) N))))))
% 18.93/19.17  (assume a2633 (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))))))
% 18.93/19.17  (assume a2634 (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))))))
% 18.93/19.17  (assume a2635 (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))))))
% 18.93/19.17  (assume a2636 (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)))))
% 18.93/19.17  (assume a2637 (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))))))
% 18.93/19.17  (assume a2638 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 18.93/19.17  (assume a2639 (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)))
% 18.93/19.17  (assume a2640 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 18.93/19.17  (assume a2641 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 18.93/19.17  (assume a2642 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 18.93/19.17  (assume a2643 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 18.93/19.17  (assume a2644 (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))))))
% 18.93/19.17  (assume a2645 (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))))))))
% 18.93/19.17  (assume a2646 (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)))))))
% 18.93/19.17  (assume a2647 (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 ((I5 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) I5)) J3)) (tptp.pp (tptp.aa_nat_bool P I5))))))))))
% 18.93/19.17  (assume a2648 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2649 (forall ((A tptp.rat) (B 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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2650 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2651 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2652 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2653 (forall ((A tptp.rat) (B 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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2654 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2655 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2656 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2657 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))))))
% 18.93/19.17  (assume a2658 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2659 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2660 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2661 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2662 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2663 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2664 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 18.93/19.17  (assume a2665 (forall ((C tptp.rat) (A tptp.rat) (B 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 18.93/19.17  (assume a2666 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 18.93/19.17  (assume a2667 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 18.93/19.17  (assume a2668 (forall ((C tptp.rat) (A tptp.rat) (B 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.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 18.93/19.17  (assume a2669 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 18.93/19.17  (assume a2670 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2671 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2672 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2673 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2674 (forall ((A tptp.rat) (B 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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2675 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2676 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2677 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2678 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))))))
% 18.93/19.17  (assume a2679 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2680 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B))))))
% 18.93/19.17  (assume a2681 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2682 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2683 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2684 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2685 (forall ((A tptp.rat) (B 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) B)) (=> (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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))))
% 18.93/19.17  (assume a2686 (forall ((A tptp.nat) (B 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) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2687 (forall ((A tptp.int) (B 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) B)) (=> (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) B)) (=> (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 B) D)))))))))
% 18.93/19.17  (assume a2688 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2689 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2690 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2691 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (=> (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) B))))))
% 18.93/19.17  (assume a2692 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2693 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2694 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2695 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2696 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2697 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (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) B))) (=> (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 B) A)))))))
% 18.93/19.17  (assume a2698 (forall ((X2 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 X2) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))))))
% 18.93/19.17  (assume a2699 (forall ((X2 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y))))))
% 18.93/19.17  (assume a2700 (forall ((X2 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 X2) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))))))
% 18.93/19.17  (assume a2701 (forall ((X2 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 X2) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)) (and (= X2 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2702 (forall ((X2 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)) (and (= X2 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2703 (forall ((X2 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 X2) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)) (and (= X2 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 18.93/19.17  (assume a2704 (forall ((X2 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 X2) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2705 (forall ((X2 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2706 (forall ((X2 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 X2) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a2707 (forall ((X2 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 X2) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)))) (or (not (= X2 tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2708 (forall ((X2 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y)))) (or (not (= X2 tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2709 (forall ((X2 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 X2) X2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)))) (or (not (= X2 tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 18.93/19.17  (assume a2710 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (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.times_times_rat A) B))) (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) B))))))))
% 18.93/19.17  (assume a2711 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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) B))) (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) B))))))))
% 18.93/19.17  (assume a2712 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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.times_times_rat A) B))) (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) B))))))))
% 18.93/19.17  (assume a2713 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) 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) B))) (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) B))))))))
% 18.93/19.17  (assume a2714 (forall ((Y tptp.rat) (Z tptp.rat) (X2 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.times_times_rat Z) Y)) X2)) (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 X2) Y)))))))
% 18.93/19.17  (assume a2715 (forall ((Y tptp.real) (Z tptp.real) (X2 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)) X2)) (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 X2) Y)))))))
% 18.93/19.17  (assume a2716 (forall ((Y tptp.rat) (X2 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 X2) (tptp.aa_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 X2) Y)) Z))))))
% 18.93/19.17  (assume a2717 (forall ((Y tptp.real) (X2 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 X2) (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 X2) Y)) Z))))))
% 18.93/19.17  (assume a2718 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) B))))))
% 18.93/19.17  (assume a2719 (forall ((C tptp.real) (A tptp.real) (B 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 B) 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)) B))))))
% 18.93/19.17  (assume a2720 (forall ((C tptp.rat) (B 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 B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 18.93/19.17  (assume a2721 (forall ((C tptp.real) (B 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 B) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 18.93/19.17  (assume a2722 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 18.93/19.17  (assume a2723 (forall ((C tptp.real) (A tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 18.93/19.17  (assume a2724 (forall ((C tptp.rat) (B 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 B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) B))))))
% 18.93/19.17  (assume a2725 (forall ((C tptp.real) (B 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 B) 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)) B))))))
% 18.93/19.17  (assume a2726 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) C)) B))) (=> (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 B) (tptp.aa_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)))))))))
% 18.93/19.17  (assume a2727 (forall ((A tptp.real) (B 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 B) 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)) B))) (=> (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 B) (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)))))))))
% 18.93/19.17  (assume a2728 (forall ((B 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 B) 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 B) (tptp.aa_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.times_times_rat A) C)) B))) (=> (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)))))))))
% 18.93/19.17  (assume a2729 (forall ((B 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 B) 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 B) (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)) B))) (=> (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)))))))))
% 18.93/19.17  (assume a2730 (forall ((W2 tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.numera6690914467698888265omplex W2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W2)) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex))))))
% 18.93/19.17  (assume a2731 (forall ((W2 tptp.num) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C) B)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2732 (forall ((W2 tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real W2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2)) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W2) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2733 (forall ((B tptp.complex) (C tptp.complex) (W2 tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.numera6690914467698888265omplex W2)) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W2)) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W2) tptp.zero_zero_complex))))))
% 18.93/19.17  (assume a2734 (forall ((B tptp.rat) (C tptp.rat) (W2 tptp.num)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) C) (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) (and (=> (not (= C tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W2) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a2735 (forall ((B tptp.real) (C tptp.real) (W2 tptp.num)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C) (tptp.aa_num_real tptp.numeral_numeral_real W2)) (and (=> (not (= C tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W2) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a2736 (forall ((Z tptp.complex) (X2 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 X2) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 18.93/19.17  (assume a2737 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Z)) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) Z)))))
% 18.93/19.17  (assume a2738 (forall ((Z tptp.real) (X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 18.93/19.17  (assume a2739 (forall ((Z tptp.complex) (X2 tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X2) (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 X2) Z)) Y)) Z)))))
% 18.93/19.17  (assume a2740 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) Z)) Y)) Z)))))
% 18.93/19.17  (assume a2741 (forall ((Z tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) (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 X2) Z)) Y)) Z)))))
% 18.93/19.17  (assume a2742 (forall ((Y tptp.complex) (Z tptp.complex) (X2 tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X2) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 18.93/19.17  (assume a2743 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (tptp.aa_rat_rat (tptp.times_times_rat Z) Y))) Y)))))
% 18.93/19.17  (assume a2744 (forall ((Y tptp.real) (Z tptp.real) (X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 18.93/19.17  (assume a2745 (forall ((Y tptp.complex) (X2 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 X2) Y)) Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 18.93/19.17  (assume a2746 (forall ((Y tptp.rat) (X2 tptp.rat) (Z tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y)) Z) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (tptp.aa_rat_rat (tptp.times_times_rat Z) Y))) Y)))))
% 18.93/19.17  (assume a2747 (forall ((Y tptp.real) (X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 18.93/19.17  (assume a2748 (forall ((Y tptp.complex) (Z tptp.complex) (X2 tptp.complex) (W2 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 X2) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W2) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X2) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W2) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 18.93/19.17  (assume a2749 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat) (W2 tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat W2) Y))) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z)))))))
% 18.93/19.17  (assume a2750 (forall ((Y tptp.real) (Z tptp.real) (X2 tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W2) 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 X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 18.93/19.17  (assume a2751 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) 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)) B)) Z))))))
% 18.93/19.17  (assume a2752 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B) Z)) A)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) Z)) B)) Z))))))
% 18.93/19.17  (assume a2753 (forall ((Z tptp.real) (A tptp.real) (B 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 B) 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 B) 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)) B)) Z))))))
% 18.93/19.17  (assume a2754 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) Z))) Z))))))
% 18.93/19.17  (assume a2755 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) Z))) Z))))))
% 18.93/19.17  (assume a2756 (forall ((Z tptp.real) (A tptp.real) (B 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)) B) B)) (=> (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)) B) (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 B) Z))) Z))))))
% 18.93/19.17  (assume a2757 (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))))
% 18.93/19.17  (assume a2758 (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.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))))
% 18.93/19.17  (assume a2759 (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))))
% 18.93/19.17  (assume a2760 (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))))
% 18.93/19.17  (assume a2761 (forall ((B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2762 (forall ((B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2763 (forall ((B 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 B) 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 B) 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) B))) (= A tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2764 (forall ((B 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 B) 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 B) 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) B))) (= A tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2765 (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.power_power_real A) N)) tptp.one_one_real))))))
% 18.93/19.17  (assume a2766 (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))))))
% 18.93/19.17  (assume a2767 (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))))))
% 18.93/19.17  (assume a2768 (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))))))
% 18.93/19.17  (assume a2769 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (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.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat)))))))
% 18.93/19.17  (assume a2770 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)))))))
% 18.93/19.17  (assume a2771 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (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.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))) B)))))
% 18.93/19.17  (assume a2772 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))) B)))))
% 18.93/19.17  (assume a2773 (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)))))
% 18.93/19.17  (assume a2774 (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)))))
% 18.93/19.17  (assume a2775 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_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.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2776 (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)))))
% 18.93/19.17  (assume a2777 (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)))))
% 18.93/19.17  (assume a2778 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.real)) (=> (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.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real A) N4)))))))
% 18.93/19.17  (assume a2779 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.rat)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2780 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.nat)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2781 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.int)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2782 (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.power_power_real A) M)) (tptp.aa_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))))))
% 18.93/19.17  (assume a2783 (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))))))
% 18.93/19.17  (assume a2784 (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))))))
% 18.93/19.17  (assume a2785 (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))))))
% 18.93/19.17  (assume a2786 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (=> (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.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real A) N4)))))))
% 18.93/19.17  (assume a2787 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.rat)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2788 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.nat)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2789 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.int)) (=> (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.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) N4)))))))
% 18.93/19.17  (assume a2790 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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) B))) (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) B))))))))
% 18.93/19.17  (assume a2791 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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.times_times_rat A) B))) (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) B))))))))
% 18.93/19.17  (assume a2792 (forall ((Y tptp.real) (Z tptp.real) (X2 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)) X2)) (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 X2) Y)))))))
% 18.93/19.17  (assume a2793 (forall ((Y tptp.rat) (Z tptp.rat) (X2 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.times_times_rat Z) Y)) X2)) (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 X2) Y)))))))
% 18.93/19.17  (assume a2794 (forall ((Y tptp.real) (X2 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 X2) (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 X2) Y)) Z))))))
% 18.93/19.17  (assume a2795 (forall ((Y tptp.rat) (X2 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 X2) (tptp.aa_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 X2) Y)) Z))))))
% 18.93/19.17  (assume a2796 (forall ((C tptp.real) (A tptp.real) (B 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 B) 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)) B))))))
% 18.93/19.17  (assume a2797 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) B))))))
% 18.93/19.17  (assume a2798 (forall ((C tptp.real) (B 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 B) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 18.93/19.17  (assume a2799 (forall ((C tptp.rat) (B 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 B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 18.93/19.17  (assume a2800 (forall ((C tptp.real) (A tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 18.93/19.17  (assume a2801 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 18.93/19.17  (assume a2802 (forall ((C tptp.real) (B 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 B) 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)) B))))))
% 18.93/19.17  (assume a2803 (forall ((C tptp.rat) (B 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 B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) B))))))
% 18.93/19.17  (assume a2804 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B))) (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) B))))))))
% 18.93/19.17  (assume a2805 (forall ((B 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 B) 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.times_times_rat A) B))) (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) B))))))))
% 18.93/19.17  (assume a2806 (forall ((A tptp.real) (B 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 B) 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)) B))) (=> (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 B) (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)))))))))
% 18.93/19.17  (assume a2807 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) C)) B))) (=> (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 B) (tptp.aa_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)))))))))
% 18.93/19.17  (assume a2808 (forall ((B 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 B) 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 B) (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)) B))) (=> (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)))))))))
% 18.93/19.17  (assume a2809 (forall ((B 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 B) 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 B) (tptp.aa_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.times_times_rat A) C)) B))) (=> (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)))))))))
% 18.93/19.17  (assume a2810 (forall ((B tptp.rat) (C tptp.rat) (W2 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 B) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) 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.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C)) B))) (=> (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 W2))))))))))
% 18.93/19.17  (assume a2811 (forall ((B tptp.real) (C tptp.real) (W2 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 B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W2))) (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 B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) 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 W2)) C)) B))) (=> (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 W2))))))))))
% 18.93/19.17  (assume a2812 (forall ((W2 tptp.num) (B 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 W2)) (tptp.aa_rat_rat (tptp.divide_divide_rat B) 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.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C)) B))) (=> (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) 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 W2)) tptp.zero_zero_rat)))))))))
% 18.93/19.17  (assume a2813 (forall ((W2 tptp.num) (B 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 W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2)) C)) B))) (=> (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 B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) 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 W2)) tptp.zero_zero_real)))))))))
% 18.93/19.17  (assume a2814 (forall ((Z tptp.rat)) (= (tptp.aa_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.plus_plus_rat Z) Z))))
% 18.93/19.17  (assume a2815 (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))))
% 18.93/19.17  (assume a2816 (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))))
% 18.93/19.17  (assume a2817 (forall ((Z tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) Z) (tptp.plus_p3455044024723400733d_enat Z Z))))
% 18.93/19.17  (assume a2818 (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))))
% 18.93/19.17  (assume a2819 (forall ((Z tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) Z) (tptp.plus_p5714425477246183910nteger Z Z))))
% 18.93/19.17  (assume a2820 (forall ((Z tptp.rat)) (= (tptp.aa_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.plus_plus_rat Z) Z))))
% 18.93/19.17  (assume a2821 (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))))
% 18.93/19.17  (assume a2822 (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))))
% 18.93/19.17  (assume a2823 (forall ((Z tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat Z (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p3455044024723400733d_enat Z Z))))
% 18.93/19.17  (assume a2824 (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))))
% 18.93/19.17  (assume a2825 (forall ((Z tptp.code_integer)) (= (tptp.times_3573771949741848930nteger Z (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger Z Z))))
% 18.93/19.17  (assume a2826 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 18.93/19.17  (assume a2827 (forall ((A tptp.nat) (B 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) B)) (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)) B))))
% 18.93/19.17  (assume a2828 (forall ((A tptp.int) (B 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) B)) (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)) B))))
% 18.93/19.17  (assume a2829 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat A (tptp.plus_p3455044024723400733d_enat A B)) (tptp.plus_p3455044024723400733d_enat (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) A) B))))
% 18.93/19.17  (assume a2830 (forall ((A tptp.real) (B 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) B)) (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)) B))))
% 18.93/19.17  (assume a2831 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) A) B))))
% 18.93/19.17  (assume a2832 (forall ((B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2833 (forall ((B 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 B) 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) B))) (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 B) A)))))))
% 18.93/19.17  (assume a2834 (forall ((B 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 B) 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 B) 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) B))) (= A tptp.zero_zero_real)))))
% 18.93/19.17  (assume a2835 (forall ((B 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 B) 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 B) 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) B))) (= A tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a2836 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.real)) (=> (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.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.power_power_real A) N4)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))))
% 18.93/19.17  (assume a2837 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.rat)) (=> (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.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) N4)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 18.93/19.17  (assume a2838 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.nat)) (=> (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.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) N4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 18.93/19.17  (assume a2839 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.int)) (=> (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.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) N4)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 18.93/19.17  (assume a2840 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (=> (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.power_power_real A) N4)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))))
% 18.93/19.17  (assume a2841 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.rat)) (=> (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.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) N4)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 18.93/19.17  (assume a2842 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.nat)) (=> (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.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) N4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 18.93/19.17  (assume a2843 (forall ((N tptp.nat) (N4 tptp.nat) (A tptp.int)) (=> (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.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) N4)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 18.93/19.17  (assume a2844 (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.power_power_real A) M)) (tptp.aa_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))))))
% 18.93/19.17  (assume a2845 (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))))))
% 18.93/19.17  (assume a2846 (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))))))
% 18.93/19.17  (assume a2847 (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))))))
% 18.93/19.17  (assume a2848 (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.power_power_real A) N)))))))
% 18.93/19.17  (assume a2849 (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)))))))
% 18.93/19.17  (assume a2850 (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)))))))
% 18.93/19.17  (assume a2851 (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)))))))
% 18.93/19.17  (assume a2852 (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.power_power_real A) N)))))))
% 18.93/19.17  (assume a2853 (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)))))))
% 18.93/19.17  (assume a2854 (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)))))))
% 18.93/19.17  (assume a2855 (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)))))))
% 18.93/19.17  (assume a2856 (= (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))))
% 18.93/19.17  (assume a2857 (forall ((W2 tptp.num) (B 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 W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2)) C)) B))) (=> (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 B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) 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 W2)) tptp.zero_zero_real)))))))))
% 18.93/19.17  (assume a2858 (forall ((W2 tptp.num) (B 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 W2)) (tptp.aa_rat_rat (tptp.divide_divide_rat B) 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.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C)) B))) (=> (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) 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 W2)) tptp.zero_zero_rat)))))))))
% 18.93/19.17  (assume a2859 (forall ((B tptp.real) (C tptp.real) (W2 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 B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W2))) (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 B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) 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 W2)) C)) B))) (=> (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 W2))))))))))
% 18.93/19.17  (assume a2860 (forall ((B tptp.rat) (C tptp.rat) (W2 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 B) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) 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.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) C)) B))) (=> (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 W2))))))))))
% 18.93/19.17  (assume a2861 (forall ((X2 tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) 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 X2) (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))) X2)) Y)))))
% 18.93/19.17  (assume a2862 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X2)) Y)))))
% 18.93/19.17  (assume a2863 (forall ((X2 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 X2) 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 X2) (tptp.aa_num_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))) X2)) Y)))))
% 18.93/19.17  (assume a2864 (forall ((X2 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 X2) 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 X2) (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))) X2)) Y)))))
% 18.93/19.17  (assume a2865 (forall ((X2 tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.power_8040749407984259932d_enat (tptp.plus_p3455044024723400733d_enat X2 Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p3455044024723400733d_enat (tptp.plus_p3455044024723400733d_enat (tptp.power_8040749407984259932d_enat X2 (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.power_8040749407984259932d_enat Y (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.times_7803423173614009249d_enat (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) X2) Y)))))
% 18.93/19.17  (assume a2866 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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))) X2)) Y)))))
% 18.93/19.17  (assume a2867 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.plus_p5714425477246183910nteger X2 Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.times_3573771949741848930nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) X2) Y)))))
% 18.93/19.17  (assume a2868 (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.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))))))
% 18.93/19.17  (assume a2869 (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))))))
% 18.93/19.17  (assume a2870 (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))))))
% 18.93/19.17  (assume a2871 (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))))
% 18.93/19.17  (assume a2872 (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))))))
% 18.93/19.17  (assume a2873 (forall ((B 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))) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) K)) (exists ((N2 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 B) N2)) 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) tptp.one_one_nat))))))))))
% 18.93/19.17  (assume a2874 (forall ((B 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))) B)) (=> (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 ((N2 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 B) N2)) 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) tptp.one_one_nat))))))))))
% 18.93/19.17  (assume a2875 (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)))))
% 18.93/19.17  (assume a2876 (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))))))
% 18.93/19.17  (assume a2877 (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)))))))
% 18.93/19.17  (assume a2878 (forall ((U tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_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 X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 18.93/19.17  (assume a2879 (forall ((U tptp.rat) (X2 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.times_times_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X2)) (=> (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.plus_plus_rat X2) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 18.93/19.17  (assume a2880 (forall ((X2 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))) X2)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.17  (assume a2881 (forall ((X2 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.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X2)) Y)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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))))))))
% 18.93/19.17  (assume a2882 (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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 18.93/19.17  (assume a2883 (forall ((A tptp.code_integer)) (= (tptp.bit_se2793503036327961859nteger tptp.zero_zero_nat A) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (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))))))))
% 18.93/19.17  (assume a2884 (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))))))))
% 18.93/19.17  (assume a2885 (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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.17  (assume a2886 (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 ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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 ((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_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) 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 ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) 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 X4) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList) Summary)) Deg))))))))))))))
% 18.93/19.17  (assume a2887 (forall ((X2 tptp.real) (Y tptp.real) (Z 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.ord_max_real X2) Y)) Z)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z))))))
% 18.93/19.17  (assume a2888 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y)) Z)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) Z))))))
% 18.93/19.17  (assume a2889 (forall ((X2 tptp.num) (Y tptp.num) (Z tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num (tptp.ord_max_num X2) Y)) Z)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z))))))
% 18.93/19.17  (assume a2890 (forall ((X2 tptp.nat) (Y tptp.nat) (Z 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.ord_max_nat X2) Y)) Z)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z))))))
% 18.93/19.17  (assume a2891 (forall ((X2 tptp.int) (Y 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.aa_int_fun_int_int tptp.ord_max_int X2) Y)) Z)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z))))))
% 18.93/19.17  (assume a2892 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real A) B) B))))
% 18.93/19.17  (assume a2893 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) B))))
% 18.93/19.17  (assume a2894 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) B))))
% 18.93/19.17  (assume a2895 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B))))
% 18.93/19.17  (assume a2896 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B))))
% 18.93/19.17  (assume a2897 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real A) B) A))))
% 18.93/19.17  (assume a2898 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) A))))
% 18.93/19.17  (assume a2899 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) A))))
% 18.93/19.17  (assume a2900 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A))))
% 18.93/19.17  (assume a2901 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A))))
% 18.93/19.17  (assume a2902 (forall ((B 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.ord_max_rat B) C)) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 18.93/19.17  (assume a2903 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.ord_max_num B) C)) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))
% 18.93/19.17  (assume a2904 (forall ((B tptp.nat) (C 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.ord_max_nat B) C)) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 18.93/19.17  (assume a2905 (forall ((B tptp.int) (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.ord_max_int B) C)) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 18.93/19.17  (assume a2906 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) B))))
% 18.93/19.17  (assume a2907 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) B))))
% 18.93/19.17  (assume a2908 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B))))
% 18.93/19.17  (assume a2909 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B))))
% 18.93/19.17  (assume a2910 (forall ((X2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (not (= X2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) N2)))) (not (forall ((N2 tptp.nat)) (not (= X2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) (tptp.aa_nat_nat tptp.suc N2)))))))))
% 18.93/19.17  (assume a2911 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)) TreeList2) S3))))))
% 18.93/19.17  (assume a2912 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc Nat) (tptp.aa_nat_nat tptp.suc Nat2)) (= Nat Nat2))))
% 18.93/19.17  (assume a2913 (forall ((X22 tptp.nat) (Y22 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc X22) (tptp.aa_nat_nat tptp.suc Y22)) (= X22 Y22))))
% 18.93/19.17  (assume a2914 (forall ((W2 tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) (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 W2) Z)))))
% 18.93/19.17  (assume a2915 (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)))))
% 18.93/19.17  (assume a2916 (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))))))
% 18.93/19.17  (assume a2917 (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)))))
% 18.93/19.17  (assume a2918 (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)))))
% 18.93/19.17  (assume a2919 (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)))))
% 18.93/19.17  (assume a2920 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) A))))
% 18.93/19.17  (assume a2921 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) A))))
% 18.93/19.17  (assume a2922 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A))))
% 18.93/19.17  (assume a2923 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A))))
% 18.93/19.17  (assume a2924 (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)))))
% 18.93/19.17  (assume a2925 (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)))))
% 18.93/19.17  (assume a2926 (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)))
% 18.93/19.17  (assume a2927 (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)))
% 18.93/19.17  (assume a2928 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real)))
% 18.93/19.17  (assume a2929 (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)))
% 18.93/19.17  (assume a2930 (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)))
% 18.93/19.17  (assume a2931 (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)))
% 18.93/19.17  (assume a2932 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 18.93/19.17  (assume a2933 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 18.93/19.17  (assume a2934 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 18.93/19.17  (assume a2935 (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)))))
% 18.93/19.17  (assume a2936 (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))))
% 18.93/19.17  (assume a2937 (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))))))
% 18.93/19.17  (assume a2938 (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))))))
% 18.93/19.17  (assume a2939 (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)))
% 18.93/19.17  (assume a2940 (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)))))
% 18.93/19.17  (assume a2941 (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))))
% 18.93/19.17  (assume a2942 (forall ((X2 tptp.nat) (M tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X2) M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (= M tptp.zero_zero_nat) (= X2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2943 (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.divide_divide_int K) L) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a2944 (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.divide_divide_int K) L) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a2945 (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))))
% 18.93/19.17  (assume a2946 (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))))))
% 18.93/19.17  (assume a2947 (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)))))
% 18.93/19.17  (assume a2948 (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)))))
% 18.93/19.17  (assume a2949 (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)))))
% 18.93/19.17  (assume a2950 (= (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))))
% 18.93/19.17  (assume a2951 (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 ((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) D))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool P (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 K) D)))))))))))
% 18.93/19.17  (assume a2952 (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))))
% 18.93/19.17  (assume a2953 (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)))))))
% 18.93/19.17  (assume a2954 (forall ((W2 tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) (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 W2) Z)) (= W2 Z)))))
% 18.93/19.17  (assume a2955 (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)))))
% 18.93/19.17  (assume a2956 (forall ((W2 tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) 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 W2) tptp.one_one_int)) Z)))))
% 18.93/19.17  (assume a2957 (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))))))
% 18.93/19.17  (assume a2958 (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)))))))
% 18.93/19.17  (assume a2959 (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)))))
% 18.93/19.17  (assume a2960 (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))))))
% 18.93/19.17  (assume a2961 (forall ((W2 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 W2) tptp.one_one_int)) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) Z)))))
% 18.93/19.17  (assume a2962 (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)))
% 18.93/19.17  (assume a2963 (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)))
% 18.93/19.17  (assume a2964 (forall ((N tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc N)))))
% 18.93/19.17  (assume a2965 (forall ((X2 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat tptp.suc X2) (tptp.aa_nat_nat tptp.suc Y)) (= X2 Y))))
% 18.93/19.17  (assume a2966 (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))))
% 18.93/19.17  (assume a2967 (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.power_power_real R3) (tptp.aa_nat_nat tptp.suc N)) A))))))
% 18.93/19.17  (assume a2968 (forall ((X2 tptp.nat)) (=> (not (= X2 tptp.zero_zero_nat)) (=> (not (= X2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (not (forall ((Va2 tptp.nat)) (not (= X2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))))))))))
% 18.93/19.17  (assume a2969 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M3 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M3))))))
% 18.93/19.17  (assume a2970 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 18.93/19.17  (assume a2971 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 18.93/19.17  (assume a2972 (forall ((M tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc M) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a2973 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a2974 (forall ((P tptp.fun_nat_fun_nat_bool) (M tptp.nat) (N tptp.nat)) (=> (forall ((X4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X4) tptp.zero_zero_nat))) (=> (forall ((Y2 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 Y2)))) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P (tptp.aa_nat_nat tptp.suc X4)) (tptp.aa_nat_nat tptp.suc Y2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N)))))))
% 18.93/19.17  (assume a2975 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 18.93/19.17  (assume a2976 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat3 tptp.nat)) (not (= Y (tptp.aa_nat_nat tptp.suc Nat3))))))))
% 18.93/19.17  (assume a2977 (forall ((Nat tptp.nat) (X22 tptp.nat)) (=> (= Nat (tptp.aa_nat_nat tptp.suc X22)) (not (= Nat tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a2978 (forall ((Nat2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc Nat2)))))
% 18.93/19.17  (assume a2979 (forall ((Nat2 tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc Nat2) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a2980 (forall ((X22 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc X22)))))
% 18.93/19.17  (assume a2981 (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))))))))))
% 18.93/19.17  (assume a2982 (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)))))
% 18.93/19.17  (assume a2983 (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)))))))))
% 18.93/19.17  (assume a2984 (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))))))
% 18.93/19.17  (assume a2985 (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)))))
% 18.93/19.17  (assume a2986 (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))))))
% 18.93/19.17  (assume a2987 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I5)))) (or (tptp.pp (tptp.aa_nat_bool P N)) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) N)) (tptp.pp (tptp.aa_nat_bool P I5))))))))
% 18.93/19.17  (assume a2988 (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)))))
% 18.93/19.17  (assume a2989 (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))))))
% 18.93/19.17  (assume a2990 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I5)))) (and (tptp.pp (tptp.aa_nat_bool P N)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) N)) (tptp.pp (tptp.aa_nat_bool P I5))))))))
% 18.93/19.17  (assume a2991 (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 ((M6 tptp.nat)) (and (= M (tptp.aa_nat_nat tptp.suc M6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M6)))))))
% 18.93/19.17  (assume a2992 (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)))))
% 18.93/19.17  (assume a2993 (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)))))
% 18.93/19.17  (assume a2994 (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))))))
% 18.93/19.17  (assume a2995 (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) (K3 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) K3)) (=> (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) K3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) K3))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I) J)))))))
% 18.93/19.17  (assume a2996 (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)))))))
% 18.93/19.17  (assume a2997 (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)))))
% 18.93/19.17  (assume a2998 (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)))))
% 18.93/19.17  (assume a2999 (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))))))
% 18.93/19.17  (assume a3000 (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))))))
% 18.93/19.17  (assume a3001 (forall ((N tptp.nat) (M7 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)) M7)) (exists ((M3 tptp.nat)) (= M7 (tptp.aa_nat_nat tptp.suc M3))))))
% 18.93/19.17  (assume a3002 (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))))))
% 18.93/19.17  (assume a3003 (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)))))
% 18.93/19.17  (assume a3004 (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)))))
% 18.93/19.17  (assume a3005 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (forall ((M2 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 M2)) N2)) (tptp.pp (tptp.aa_nat_bool P M2)))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 18.93/19.17  (assume a3006 (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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 18.93/19.17  (assume a3007 (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 ((X4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) X4))) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Y2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y2) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Z2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R N2) (tptp.aa_nat_nat tptp.suc N2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R M) N))))))))
% 18.93/19.17  (assume a3008 (forall ((A2 tptp.nat) (K tptp.nat) (A tptp.nat)) (=> (= A2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) A)) (= (tptp.aa_nat_nat tptp.suc A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat tptp.suc A))))))
% 18.93/19.17  (assume a3009 (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)))))
% 18.93/19.17  (assume a3010 (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)))))
% 18.93/19.17  (assume a3011 (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))))
% 18.93/19.17  (assume a3012 (forall ((F tptp.fun_nat_real) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3013 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3014 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3015 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3016 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3017 (forall ((F tptp.fun_nat_real) (N tptp.nat) (M tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (= (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))))))
% 18.93/19.17  (assume a3018 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (= (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))))))
% 18.93/19.17  (assume a3019 (forall ((F tptp.fun_nat_num) (N tptp.nat) (M tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (= (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))))))
% 18.93/19.17  (assume a3020 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (= (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))))))
% 18.93/19.17  (assume a3021 (forall ((F tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (= (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))))))
% 18.93/19.17  (assume a3022 (forall ((F tptp.fun_nat_set_int) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int F N2)) (tptp.aa_nat_set_int F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int F N)) (tptp.aa_nat_set_int F N6)))))))
% 18.93/19.17  (assume a3023 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3024 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3025 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3026 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (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 N6)))))))
% 18.93/19.17  (assume a3027 (forall ((F tptp.fun_nat_set_int) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_set_int F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int F N6)) (tptp.aa_nat_set_int F N)))))))
% 18.93/19.17  (assume a3028 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 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 N2))) (tptp.aa_nat_rat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N6)) (tptp.aa_nat_rat F N)))))))
% 18.93/19.17  (assume a3029 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 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 N2))) (tptp.aa_nat_num F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N6)) (tptp.aa_nat_num F N)))))))
% 18.93/19.17  (assume a3030 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 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 N2))) (tptp.aa_nat_nat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N6)) (tptp.aa_nat_nat F N)))))))
% 18.93/19.17  (assume a3031 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N6 tptp.nat)) (=> (forall ((N2 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 N2))) (tptp.aa_nat_int F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N6)) (tptp.aa_nat_int F N)))))))
% 18.93/19.17  (assume a3032 (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))))))))
% 18.93/19.17  (assume a3033 (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 ((M3 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M3))))))
% 18.93/19.17  (assume a3034 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I5)))) (and (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I5)))))))))
% 18.93/19.17  (assume a3035 (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))))))
% 18.93/19.17  (assume a3036 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I5)))) (or (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I5)))))))))
% 18.93/19.17  (assume a3037 (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)))))
% 18.93/19.17  (assume a3038 (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)))))
% 18.93/19.17  (assume a3039 (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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) J)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))))))) (tptp.pp (tptp.aa_nat_bool P J)))))))
% 18.93/19.17  (assume a3040 (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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))))) (tptp.pp (tptp.aa_nat_bool P I)))))))
% 18.93/19.17  (assume a3041 (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)))))
% 18.93/19.17  (assume a3042 (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)))))
% 18.93/19.17  (assume a3043 (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)))))
% 18.93/19.17  (assume a3044 (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)))))
% 18.93/19.17  (assume a3045 (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))))))
% 18.93/19.17  (assume a3046 (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)))))))
% 18.93/19.17  (assume a3047 (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)))))))
% 18.93/19.17  (assume a3048 (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 ((Q4 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) Q4)))))))))
% 18.93/19.17  (assume a3049 (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))))))
% 18.93/19.17  (assume a3050 (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))))))
% 18.93/19.17  (assume a3051 (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)))))))
% 18.93/19.17  (assume a3052 (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)))))))
% 18.93/19.17  (assume a3053 (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)))))
% 18.93/19.17  (assume a3054 (= tptp.one_one_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3055 (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)))))
% 18.93/19.17  (assume a3056 (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)))))
% 18.93/19.17  (assume a3057 (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)))))
% 18.93/19.17  (assume a3058 (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))))
% 18.93/19.17  (assume a3059 (= (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.suc))
% 18.93/19.17  (assume a3060 (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))))
% 18.93/19.17  (assume a3061 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_real (tptp.power_power_real B) (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) B)) (= A B))))))
% 18.93/19.17  (assume a3062 (forall ((A tptp.rat) (N tptp.nat) (B 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 B) (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) B)) (= A B))))))
% 18.93/19.17  (assume a3063 (forall ((A tptp.nat) (N tptp.nat) (B 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 B) (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) B)) (= A B))))))
% 18.93/19.17  (assume a3064 (forall ((A tptp.int) (N tptp.nat) (B 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 B) (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) B)) (= A B))))))
% 18.93/19.17  (assume a3065 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.power_power_real B) (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) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 18.93/19.17  (assume a3066 (forall ((A tptp.rat) (N tptp.nat) (B 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 B) (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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 18.93/19.17  (assume a3067 (forall ((A tptp.nat) (N tptp.nat) (B 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 B) (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) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 18.93/19.17  (assume a3068 (forall ((A tptp.int) (N tptp.nat) (B 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 B) (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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 18.93/19.17  (assume a3069 (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.power_power_real A) (tptp.aa_nat_nat tptp.suc N)))))))
% 18.93/19.17  (assume a3070 (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)))))))
% 18.93/19.17  (assume a3071 (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)))))))
% 18.93/19.17  (assume a3072 (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)))))))
% 18.93/19.17  (assume a3073 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3074 (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 ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) K3)) (not (tptp.pp (tptp.aa_nat_bool P I4))))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K3)))))))))
% 18.93/19.17  (assume a3075 (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)))))))
% 18.93/19.17  (assume a3076 (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)))))))
% 18.93/19.17  (assume a3077 (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)))))))
% 18.93/19.17  (assume a3078 (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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 18.93/19.17  (assume a3079 (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))))))
% 18.93/19.17  (assume a3080 (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))))))
% 18.93/19.17  (assume a3081 (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.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 18.93/19.17  (assume a3082 (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))))))
% 18.93/19.17  (assume a3083 (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))))))
% 18.93/19.17  (assume a3084 (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))))))
% 18.93/19.17  (assume a3085 (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.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real))))))
% 18.93/19.17  (assume a3086 (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))))))
% 18.93/19.17  (assume a3087 (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))))))
% 18.93/19.17  (assume a3088 (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))))))
% 18.93/19.17  (assume a3089 (= (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))))
% 18.93/19.17  (assume a3090 (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)))))
% 18.93/19.17  (assume a3091 (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))))
% 18.93/19.17  (assume a3092 (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)))))
% 18.93/19.17  (assume a3093 (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))))))
% 18.93/19.17  (assume a3094 (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))))))
% 18.93/19.17  (assume a3095 (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 ((Q5 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) Q5)) 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 Q5)))) (tptp.pp (tptp.aa_nat_bool P Q5))))))))
% 18.93/19.17  (assume a3096 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (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))) N2)))))) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (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))) N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 18.93/19.17  (assume a3097 (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))))))))
% 18.93/19.17  (assume a3098 (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))))))))
% 18.93/19.17  (assume a3099 (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.power_power_real R3) N) A)))))))
% 18.93/19.17  (assume a3100 (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 ((X4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X4)) (= (tptp.aa_nat_real (tptp.power_power_real X4) N) A) (forall ((Y3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y3)) (= (tptp.aa_nat_real (tptp.power_power_real Y3) N) A)) (= Y3 X4)))))))))
% 18.93/19.17  (assume a3101 (forall ((C tptp.rat) (A tptp.rat) (D tptp.rat) (B tptp.rat)) (=> (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 D) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.ord_max_rat C) D)) (tptp.aa_rat_rat (tptp.ord_max_rat A) B)))))))
% 18.93/19.17  (assume a3102 (forall ((C tptp.num) (A tptp.num) (D tptp.num) (B tptp.num)) (=> (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 D) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.ord_max_num C) D)) (tptp.aa_num_num (tptp.ord_max_num A) B)))))))
% 18.93/19.17  (assume a3103 (forall ((C tptp.nat) (A tptp.nat) (D tptp.nat) (B tptp.nat)) (=> (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 D) B)) (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.ord_max_nat C) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))))
% 18.93/19.17  (assume a3104 (forall ((C tptp.int) (A tptp.int) (D tptp.int) (B tptp.int)) (=> (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 D) B)) (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.ord_max_int C) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))))
% 18.93/19.17  (assume a3105 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.ord_max_rat A) B)))))
% 18.93/19.17  (assume a3106 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A (tptp.aa_num_num (tptp.ord_max_num A) B)))))
% 18.93/19.17  (assume a3107 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 18.93/19.17  (assume a3108 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 18.93/19.17  (assume a3109 (forall ((A tptp.rat) (B tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.ord_max_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 18.93/19.17  (assume a3110 (forall ((A tptp.num) (B tptp.num)) (=> (= A (tptp.aa_num_num (tptp.ord_max_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))
% 18.93/19.17  (assume a3111 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))
% 18.93/19.17  (assume a3112 (forall ((A tptp.int) (B tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 18.93/19.17  (assume a3113 (forall ((B 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.ord_max_rat B) C)) A)) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))))
% 18.93/19.17  (assume a3114 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.ord_max_num B) C)) A)) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))))
% 18.93/19.17  (assume a3115 (forall ((B tptp.nat) (C 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.ord_max_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))))
% 18.93/19.17  (assume a3116 (forall ((B tptp.int) (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.ord_max_int B) C)) A)) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))))
% 18.93/19.17  (assume a3117 (forall ((B 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 B) A)) (=> (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 (tptp.aa_rat_rat (tptp.ord_max_rat B) C)) A))))))
% 18.93/19.17  (assume a3118 (forall ((B 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 B) A)) (=> (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 (tptp.aa_num_num (tptp.ord_max_num B) C)) A))))))
% 18.93/19.17  (assume a3119 (forall ((B 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 B) A)) (=> (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)) A))))))
% 18.93/19.17  (assume a3120 (forall ((B 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 B) A)) (=> (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 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)) A))))))
% 18.93/19.17  (assume a3121 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.ord_max_rat A) B)))))
% 18.93/19.17  (assume a3122 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A (tptp.aa_num_num (tptp.ord_max_num A) B)))))
% 18.93/19.17  (assume a3123 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 18.93/19.17  (assume a3124 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 18.93/19.17  (assume a3125 (forall ((A tptp.rat) (B 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.ord_max_rat A) B)))))
% 18.93/19.17  (assume a3126 (forall ((A tptp.num) (B tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num (tptp.ord_max_num A) B)))))
% 18.93/19.17  (assume a3127 (forall ((A tptp.nat) (B 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.ord_max_nat A) B)))))
% 18.93/19.17  (assume a3128 (forall ((A tptp.int) (B 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.ord_max_int A) B)))))
% 18.93/19.17  (assume a3129 (forall ((B tptp.rat) (A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.ord_max_rat A) B)))))
% 18.93/19.17  (assume a3130 (forall ((B tptp.num) (A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) (tptp.aa_num_num (tptp.ord_max_num A) B)))))
% 18.93/19.17  (assume a3131 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 18.93/19.17  (assume a3132 (forall ((B tptp.int) (A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 18.93/19.17  (assume a3133 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y))))))
% 18.93/19.17  (assume a3134 (forall ((Z tptp.num) (X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) (tptp.aa_num_num (tptp.ord_max_num X2) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y))))))
% 18.93/19.17  (assume a3135 (forall ((Z tptp.nat) (X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y))))))
% 18.93/19.17  (assume a3136 (forall ((Z tptp.int) (X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y))))))
% 18.93/19.17  (assume a3137 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) A))))
% 18.93/19.17  (assume a3138 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) A))))
% 18.93/19.17  (assume a3139 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A))))
% 18.93/19.17  (assume a3140 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A))))
% 18.93/19.17  (assume a3141 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.ord_max_rat A) B) B))))
% 18.93/19.17  (assume a3142 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.ord_max_num A) B) B))))
% 18.93/19.17  (assume a3143 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B))))
% 18.93/19.17  (assume a3144 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B))))
% 18.93/19.17  (assume a3145 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (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 C) (tptp.aa_rat_rat (tptp.ord_max_rat A) B))))))
% 18.93/19.17  (assume a3146 (forall ((C tptp.num) (A tptp.num) (B tptp.num)) (=> (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 C) (tptp.aa_num_num (tptp.ord_max_num A) B))))))
% 18.93/19.17  (assume a3147 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (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 C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))))
% 18.93/19.17  (assume a3148 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (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 C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))))
% 18.93/19.17  (assume a3149 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.ord_max_rat A) B))))))
% 18.93/19.17  (assume a3150 (forall ((C tptp.num) (B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) (tptp.aa_num_num (tptp.ord_max_num A) B))))))
% 18.93/19.17  (assume a3151 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (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.ord_max_nat A) B))))))
% 18.93/19.17  (assume a3152 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (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.ord_max_int A) B))))))
% 18.93/19.17  (assume a3153 (forall ((Z tptp.real) (X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real X2) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) Y))))))
% 18.93/19.17  (assume a3154 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) Y))))))
% 18.93/19.17  (assume a3155 (forall ((Z tptp.num) (X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z) (tptp.aa_num_num (tptp.ord_max_num X2) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z) X2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z) Y))))))
% 18.93/19.17  (assume a3156 (forall ((Z tptp.nat) (X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) Y))))))
% 18.93/19.17  (assume a3157 (forall ((Z tptp.int) (X2 tptp.int) (Y tptp.int)) (= (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.ord_max_int X2) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) Y))))))
% 18.93/19.17  (assume a3158 (forall ((B 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.ord_max_real B) C)) A)) (not (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))))
% 18.93/19.17  (assume a3159 (forall ((B 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.ord_max_rat B) C)) A)) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))))
% 18.93/19.17  (assume a3160 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num (tptp.ord_max_num B) C)) A)) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))))
% 18.93/19.17  (assume a3161 (forall ((B tptp.nat) (C 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.ord_max_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))))
% 18.93/19.17  (assume a3162 (forall ((B tptp.int) (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.ord_max_int B) C)) A)) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))))
% 18.93/19.17  (assume a3163 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (and (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real A) B)) (not (= A B))))))
% 18.93/19.17  (assume a3164 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (and (= A (tptp.aa_rat_rat (tptp.ord_max_rat A) B)) (not (= A B))))))
% 18.93/19.17  (assume a3165 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (and (= A (tptp.aa_num_num (tptp.ord_max_num A) B)) (not (= A B))))))
% 18.93/19.17  (assume a3166 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (not (= A B))))))
% 18.93/19.17  (assume a3167 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (and (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)) (not (= A B))))))
% 18.93/19.17  (assume a3168 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (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 C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real A) B))))))
% 18.93/19.17  (assume a3169 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (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 C) (tptp.aa_rat_rat (tptp.ord_max_rat A) B))))))
% 18.93/19.17  (assume a3170 (forall ((C tptp.num) (A tptp.num) (B tptp.num)) (=> (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 C) (tptp.aa_num_num (tptp.ord_max_num A) B))))))
% 18.93/19.17  (assume a3171 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (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 C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))))
% 18.93/19.17  (assume a3172 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (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 C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))))
% 18.93/19.17  (assume a3173 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real A) B))))))
% 18.93/19.17  (assume a3174 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.ord_max_rat A) B))))))
% 18.93/19.17  (assume a3175 (forall ((C tptp.num) (B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) (tptp.aa_num_num (tptp.ord_max_num A) B))))))
% 18.93/19.17  (assume a3176 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))))
% 18.93/19.17  (assume a3177 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B)) (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.ord_max_int A) B))))))
% 18.93/19.17  (assume a3178 (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.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)))))
% 18.93/19.17  (assume a3179 (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)))))
% 18.93/19.17  (assume a3180 (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)))))
% 18.93/19.17  (assume a3181 (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.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)))))
% 18.93/19.17  (assume a3182 (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)))))
% 18.93/19.17  (assume a3183 (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)))))
% 18.93/19.17  (assume a3184 (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)))))
% 18.93/19.17  (assume a3185 (forall ((V tptp.product_prod_nat_nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb) Vc)) X2)))))
% 18.93/19.17  (assume a3186 (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))))))
% 18.93/19.17  (assume a3187 (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))))))
% 18.93/19.17  (assume a3188 (forall ((A tptp.code_integer)) (= (tptp.bit_se8260200283734997820nteger tptp.zero_zero_nat A) (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)))))))
% 18.93/19.17  (assume a3189 (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)))))))
% 18.93/19.17  (assume a3190 (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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 18.93/19.17  (assume a3191 (forall ((V tptp.product_prod_nat_nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy) Uz)) X2)))))
% 18.93/19.17  (assume a3192 (forall ((Info tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts) S) X2) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts) S))))
% 18.93/19.17  (assume a3193 (forall ((C tptp.nat) (A tptp.nat) (B 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 B) 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) B)) C)))))
% 18.93/19.17  (assume a3194 (forall ((C tptp.int) (A tptp.int) (B 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.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C)))))
% 18.93/19.17  (assume a3195 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (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)) B)))))
% 18.93/19.17  (assume a3196 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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)) B)))))
% 18.93/19.17  (assume a3197 (forall ((A tptp.nat) (B 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) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a3198 (forall ((A tptp.int) (B 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) B)) (= (tptp.aa_int_int (tptp.divide_divide_int A) B) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a3199 (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)))))
% 18.93/19.17  (assume a3200 (forall ((X2 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 X2) X2)))) (= X2 tptp.zero_zero_real))))
% 18.93/19.17  (assume a3201 (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)))))
% 18.93/19.17  (assume a3202 (forall ((Y tptp.real) (X2 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 X2) tptp.one_one_real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X2) N2)) Y)))))))
% 18.93/19.17  (assume a3203 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_nat_real (tptp.power_power_real X2) N2)))))))
% 18.93/19.17  (assume a3204 (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)))))))
% 18.93/19.17  (assume a3205 (forall ((Z1 tptp.int) (Z22 tptp.int) (W2 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)) W2) (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) W2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z22) W2)))))
% 18.93/19.17  (assume a3206 (forall ((W2 tptp.int) (Z1 tptp.int) (Z22 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W2) (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 W2) Z1)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W2) Z22)))))
% 18.93/19.17  (assume a3207 (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))))))
% 18.93/19.17  (assume a3208 (forall ((N tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) tptp.zero_z5237406670263579293d_enat)))))
% 18.93/19.17  (assume a3209 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (N tptp.extended_enat)) (=> (forall ((N2 tptp.extended_enat)) (=> (forall ((M2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat M2) N2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P M2)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N2)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N)))))
% 18.93/19.17  (assume a3210 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (= X2 Y)))))
% 18.93/19.17  (assume a3211 (forall ((B4 tptp.int) (Q6 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 B4) Q6)) R4))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R4) B4)) (=> (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.ord_less_eq_int tptp.zero_zero_int) Q6)))))))
% 18.93/19.17  (assume a3212 (forall ((B tptp.int) (Q2 tptp.int) (R2 tptp.int) (B4 tptp.int) (Q6 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 B) 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 B4) Q6)) 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 B4) Q6)) R4))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R4) B4)) (=> (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) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B4) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q2) Q6))))))))))
% 18.93/19.17  (assume a3213 (forall ((B tptp.int) (Q2 tptp.int) (R2 tptp.int) (B4 tptp.int) (Q6 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 B) 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 B4) Q6)) 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 B4) Q6)) R4)) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B)) (=> (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) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B4) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q6) Q2))))))))))
% 18.93/19.17  (assume a3214 (forall ((B tptp.int) (Q6 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 B) Q6)) 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 B) 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q6) Q2))))))))
% 18.93/19.17  (assume a3215 (forall ((B tptp.int) (Q6 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 B) Q6)) 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 B) 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 B) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) R4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q2) Q6))))))))
% 18.93/19.17  (assume a3216 (forall ((P tptp.fun_int_bool) (N tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_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 ((I5 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) I5)) J3))) (tptp.pp (tptp.aa_int_bool P I5))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (forall ((I5 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) I5)) J3))) (tptp.pp (tptp.aa_int_bool P I5)))))))))
% 18.93/19.17  (assume a3217 (forall ((A tptp.int) (A4 tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A4)) (=> (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.aa_int_int (tptp.divide_divide_int A) B)) (tptp.aa_int_int (tptp.divide_divide_int A4) B)))))))
% 18.93/19.17  (assume a3218 (forall ((A tptp.int) (B4 tptp.int) (B 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) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B4) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) (tptp.aa_int_int (tptp.divide_divide_int A) B4))))))))
% 18.93/19.17  (assume a3219 (forall ((I tptp.int) (K tptp.int)) (= (= (tptp.aa_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)))))))
% 18.93/19.17  (assume a3220 (forall ((A tptp.int) (B 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 B) 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 B) R2)) (= (tptp.aa_int_int (tptp.divide_divide_int A) B) Q2))))))
% 18.93/19.17  (assume a3221 (forall ((A tptp.int) (B 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 B) 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) B)) (= (tptp.aa_int_int (tptp.divide_divide_int A) B) Q2))))))
% 18.93/19.17  (assume a3222 (forall ((A tptp.int) (A4 tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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.divide_divide_int A4) B)) (tptp.aa_int_int (tptp.divide_divide_int A) B)))))))
% 18.93/19.17  (assume a3223 (forall ((A tptp.int) (B4 tptp.int) (B 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) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B4) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.divide_divide_int A) B4)) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))))
% 18.93/19.17  (assume a3224 (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.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)))))))
% 18.93/19.17  (assume a3225 (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.divide_divide_int K) L)))))))
% 18.93/19.17  (assume a3226 (forall ((A tptp.int) (B 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_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a3227 (forall ((X2 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) X2)) (=> (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.divide_divide_int X2) K)) X2))))))
% 18.93/19.17  (assume a3228 (forall ((A tptp.int) (B 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 B) 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.divide_divide_int A) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a3229 (forall ((A tptp.int) (B 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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a3230 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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.divide_divide_int A) B)) 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))))))
% 18.93/19.17  (assume a3231 (forall ((B 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) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) 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))))))
% 18.93/19.17  (assume a3232 (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.divide_divide_int I) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) I))))))
% 18.93/19.17  (assume a3233 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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.divide_divide_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a3234 (forall ((B 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) B)) (= (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.divide_divide_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 18.93/19.17  (assume a3235 (forall ((A tptp.int) (B 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.divide_divide_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)))))))
% 18.93/19.17  (assume a3236 (forall ((Info tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info tptp.zero_zero_nat Ts) S) X2) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info tptp.zero_zero_nat Ts) S))))
% 18.93/19.17  (assume a3237 (forall ((Uz tptp.product_prod_nat_nat) (Va tptp.nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz) Va Vb) Vc))))))
% 18.93/19.17  (assume a3238 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) 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) B)))))))
% 18.93/19.17  (assume a3239 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) 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.divide_divide_int A) B)))))))
% 18.93/19.17  (assume a3240 (forall ((Z tptp.real) (X2 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) X2)) (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 X2) Y))))))
% 18.93/19.17  (assume a3241 (forall ((Z tptp.rat) (X2 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.times_times_rat Z) X2)) (tptp.aa_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 X2) Y))))))
% 18.93/19.17  (assume a3242 (forall ((Z tptp.int) (X2 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) X2)) (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 X2) Y))))))
% 18.93/19.17  (assume a3243 (forall ((Z tptp.real) (X2 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 X2) 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 X2) Y))))))
% 18.93/19.17  (assume a3244 (forall ((Z tptp.rat) (X2 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.times_times_rat X2) Z)) (tptp.aa_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 X2) Y))))))
% 18.93/19.17  (assume a3245 (forall ((Z tptp.int) (X2 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 X2) 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 X2) Y))))))
% 18.93/19.17  (assume a3246 (forall ((Q2 tptp.code_integer) (R2 tptp.code_integer)) (= (tptp.unique5706413561485394159nteger (tptp.produc1086072967326762835nteger Q2 R2)) (= R2 tptp.zero_z3403309356797280102nteger))))
% 18.93/19.17  (assume a3247 (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))))
% 18.93/19.17  (assume a3248 (forall ((Q2 tptp.int) (R2 tptp.int)) (= (tptp.unique6319869463603278526ux_int (tptp.product_Pair_int_int Q2 R2)) (= R2 tptp.zero_zero_int))))
% 18.93/19.17  (assume a3249 (forall ((X2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_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))) N)))))
% 18.93/19.17  (assume a3250 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (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))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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 ((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_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_1)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList) Summary)) Deg)))))))))))
% 18.93/19.17  (assume a3251 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 18.93/19.17  (assume a3252 (= (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))))
% 18.93/19.17  (assume a3253 (= (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))))
% 18.93/19.17  (assume a3254 (= (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))))
% 18.93/19.17  (assume a3255 (= (tptp.neg_nu8804712462038260780nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 18.93/19.17  (assume a3256 (forall ((A tptp.bool) (B tptp.bool)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a3257 (forall ((T tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A6 tptp.bool) (B6 tptp.bool)) (= T (tptp.vEBT_Leaf A6 B6))))))
% 18.93/19.17  (assume a3258 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3))))))
% 18.93/19.17  (assume a3259 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (=> (= N tptp.one_one_nat) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3)))))))
% 18.93/19.17  (assume a3260 (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)))
% 18.93/19.17  (assume a3261 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3262 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.17  (assume a3263 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) tptp.zero_zero_int) A)))
% 18.93/19.17  (assume a3264 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) A) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3265 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) A) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3266 (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)))
% 18.93/19.17  (assume a3267 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3268 (forall ((B 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 B) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3269 (forall ((B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3270 (forall ((A tptp.nat) (B 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) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3271 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3272 (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))))
% 18.93/19.17  (assume a3273 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 18.93/19.17  (assume a3274 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real tptp.zero_zero_real) tptp.zero_zero_real))
% 18.93/19.17  (assume a3275 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 18.93/19.17  (assume a3276 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int tptp.zero_zero_int) tptp.zero_zero_int))
% 18.93/19.17  (assume a3277 (forall ((B 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 B) A)) B) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3278 (forall ((B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A)) B) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3279 (forall ((A tptp.nat) (B 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) B)) B) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3280 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) B) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3281 (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)))
% 18.93/19.17  (assume a3282 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3283 (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)))
% 18.93/19.17  (assume a3284 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3285 (forall ((A tptp.nat) (B 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) B)) B) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3286 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) B) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3287 (forall ((A tptp.nat) (B 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) B)) B) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3288 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) B) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3289 (forall ((B 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 B) C)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3290 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.aa_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 B) C)) A)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3291 (forall ((C tptp.nat) (B 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) B)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3292 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (= (tptp.aa_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) B)) A)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3293 (forall ((A tptp.nat) (B 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 B) C))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3294 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_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 B) C))) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3295 (forall ((A tptp.nat) (C tptp.nat) (B 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) B))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 18.93/19.17  (assume a3296 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_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) B))) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 18.93/19.17  (assume a3297 (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)))
% 18.93/19.17  (assume a3298 (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)))))
% 18.93/19.17  (assume a3299 (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)))))
% 18.93/19.17  (assume a3300 (forall ((K tptp.num)) (= (tptp.neg_nu8804712462038260780nteger (tptp.numera6620942414471956472nteger K)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 K)))))
% 18.93/19.17  (assume a3301 (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))))
% 18.93/19.17  (assume a3302 (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))))
% 18.93/19.17  (assume a3303 (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))))
% 18.93/19.17  (assume a3304 (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))))
% 18.93/19.17  (assume a3305 (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))))
% 18.93/19.17  (assume a3306 (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))))
% 18.93/19.17  (assume a3307 (forall ((A tptp.int)) (= (not (= (tptp.aa_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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 18.93/19.17  (assume a3308 (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))))
% 18.93/19.17  (assume a3309 (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))))
% 18.93/19.17  (assume a3310 (forall ((A tptp.int)) (= (not (= (tptp.aa_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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3311 (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))))
% 18.93/19.17  (assume a3312 (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)))
% 18.93/19.17  (assume a3313 (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))))
% 18.93/19.17  (assume a3314 (= tptp.bot_bo4199563552545308370d_enat tptp.zero_z5237406670263579293d_enat))
% 18.93/19.17  (assume a3315 (forall ((X21 tptp.bool) (X222 tptp.bool)) (= (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT (tptp.vEBT_Leaf X21 X222)) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3316 (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X2)) (=> (not (= X2 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))) (not (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2) Uy2)))))))))
% 18.93/19.17  (assume a3317 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) 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) B)) C))))
% 18.93/19.17  (assume a3318 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_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.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.modulo_modulo_int B) C))) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 18.93/19.17  (assume a3319 (forall ((A tptp.nat) (C tptp.nat) (A4 tptp.nat) (B tptp.nat) (B4 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 A4) 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 B4) 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) 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 A4) B4)) C))))))
% 18.93/19.17  (assume a3320 (forall ((A tptp.int) (C tptp.int) (A4 tptp.int) (B tptp.int) (B4 tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.modulo_modulo_int A4) C)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int B) C) (tptp.aa_int_int (tptp.modulo_modulo_int B4) C)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A4) B4)) C))))))
% 18.93/19.17  (assume a3321 (forall ((A tptp.nat) (C tptp.nat) (B 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)) 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) B)) C))))
% 18.93/19.17  (assume a3322 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_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.modulo_modulo_int A) C)) B)) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 18.93/19.17  (assume a3323 (forall ((A tptp.nat) (B 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 B) 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) B)) C))))
% 18.93/19.17  (assume a3324 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_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.modulo_modulo_int B) C))) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 18.93/19.17  (assume a3325 (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))))
% 18.93/19.17  (assume a3326 (forall ((X2 tptp.produc9217583074051984497at_nat)) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.nat)) (not (= X2 (tptp.produc2818902965508115497at_nat F2 (tptp.produc487386426758144856at_nat A3 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B3) Acc)))))))))
% 18.93/19.17  (assume a3327 (forall ((Uu tptp.bool) (Uv tptp.bool) (Uw tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.vEBT_Leaf Uu Uv)) Uw)))))
% 18.93/19.17  (assume a3328 (forall ((Uu tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf Uu tptp.fTrue))))))
% 18.93/19.17  (assume a3329 (forall ((Uv tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fTrue Uv))))))
% 18.93/19.17  (assume a3330 (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))))
% 18.93/19.17  (assume a3331 (forall ((X2 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X4)))) (=> (forall ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT) (Ux2 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2) Ux2)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3) X4)))))))))
% 18.93/19.17  (assume a3332 (forall ((X2 tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (Uw2 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Uw2)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT) (Uz2 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2) Uz2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3) Vb2) X4)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2) X4)))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd) X4)))))))))))
% 18.93/19.17  (assume a3333 (forall ((X2 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X4)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3) X4)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2) S3) X4)))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2) X4)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) X4)))))))))))
% 18.93/19.17  (assume a3334 (forall ((X2 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X4)))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2) X4)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2) X4)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2) Vc2) X4)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X2 (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) X4)))))))))))
% 18.93/19.17  (assume a3335 (forall ((X2 tptp.vEBT_VEBT) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X2)) (tptp.pp Y)) (=> (=> (= X2 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp Y))) (=> (=> (exists ((Uv2 tptp.bool)) (= X2 (tptp.vEBT_Leaf tptp.fTrue Uv2))) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool)) (= X2 (tptp.vEBT_Leaf Uu2 tptp.fTrue))) (tptp.pp Y)) (=> (=> (exists ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2) Uy2))) (not (tptp.pp Y))) (not (=> (exists ((Uz2 tptp.product_prod_nat_nat) (Va3 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2) Vc2))) (tptp.pp Y))))))))))
% 18.93/19.17  (assume a3336 (forall ((A tptp.nat) (B 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) B)) A)))))
% 18.93/19.17  (assume a3337 (forall ((A tptp.int) (B 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.modulo_modulo_int A) B)) A)))))
% 18.93/19.17  (assume a3338 (forall ((B 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) B)) (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) B)) B)))))
% 18.93/19.17  (assume a3339 (forall ((B 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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) B)))))
% 18.93/19.17  (assume a3340 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) A) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3341 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) A) (= (tptp.aa_int_int (tptp.divide_divide_int A) B) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3342 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.modulo_modulo_int B) C)) (not (forall ((D4 tptp.int)) (not (= B (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) D4)))))))))
% 18.93/19.17  (assume a3343 (forall ((A tptp.nat) (B 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) B)) 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 B) 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 B) C))) C)))))
% 18.93/19.17  (assume a3344 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) 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.divide_divide_int A) C)) (tptp.aa_int_int (tptp.divide_divide_int B) C))) (tptp.aa_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.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.modulo_modulo_int B) C))) C)))))
% 18.93/19.17  (assume a3345 (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)))))))
% 18.93/19.17  (assume a3346 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (P3 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) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) P3)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) P3)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (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 N2)) P3)))))) (tptp.pp (tptp.aa_nat_bool P M))))))))
% 18.93/19.17  (assume a3347 (forall ((P tptp.fun_nat_fun_nat_bool) (M tptp.nat) (N tptp.nat)) (=> (forall ((M3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M3) tptp.zero_zero_nat))) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P N2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M3) N2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M3) N2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N))))))
% 18.93/19.17  (assume a3348 (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)))))
% 18.93/19.17  (assume a3349 (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))))
% 18.93/19.17  (assume a3350 (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 ((Q4 tptp.nat)) (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat D) Q4))))))
% 18.93/19.17  (assume a3351 (forall ((X2 tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X2) 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 X2) (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)))))))
% 18.93/19.17  (assume a3352 (= (tptp.vEBT_vebt_buildup tptp.zero_zero_nat) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 18.93/19.17  (assume a3353 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) X2))))
% 18.93/19.17  (assume a3354 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat X2) (tptp.aa_rat_rat (tptp.plus_plus_rat X2) X2))))
% 18.93/19.17  (assume a3355 (forall ((X2 tptp.int)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) X2))))
% 18.93/19.17  (assume a3356 (forall ((Uu tptp.bool) (Uv tptp.bool) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid (tptp.vEBT_Leaf Uu Uv)) D)) (= D tptp.one_one_nat))))
% 18.93/19.17  (assume a3357 (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (X2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv) Uw)) X2)))))
% 18.93/19.17  (assume a3358 (forall ((Uw tptp.nat) (Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux) Uy)))))
% 18.93/19.17  (assume a3359 (forall ((A tptp.nat) (B 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) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) A)))))
% 18.93/19.17  (assume a3360 (forall ((A tptp.int) (B 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) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) A)))))
% 18.93/19.17  (assume a3361 (forall ((B 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) B)) (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) B))))))
% 18.93/19.17  (assume a3362 (forall ((B 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) B)) (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.modulo_modulo_int A) B))))))
% 18.93/19.17  (assume a3363 (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))))
% 18.93/19.17  (assume a3364 (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))))
% 18.93/19.17  (assume a3365 (forall ((N tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_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.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))))
% 18.93/19.17  (assume a3366 (forall ((N tptp.num)) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger tptp.one)) tptp.zero_z3403309356797280102nteger)))
% 18.93/19.17  (assume a3367 (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)))
% 18.93/19.17  (assume a3368 (forall ((N tptp.num)) (= (tptp.aa_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)))
% 18.93/19.17  (assume a3369 (forall ((B 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) A)))
% 18.93/19.17  (assume a3370 (forall ((B 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 B) (tptp.aa_int_int (tptp.divide_divide_int A) B))) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) A)))
% 18.93/19.17  (assume a3371 (forall ((A tptp.nat) (B 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) A)))
% 18.93/19.17  (assume a3372 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.divide_divide_int A) B))) A)))
% 18.93/19.17  (assume a3373 (forall ((A tptp.nat) (B 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) B)) (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) B)) B)) A)))
% 18.93/19.17  (assume a3374 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) B)) A)))
% 18.93/19.17  (assume a3375 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) A)))
% 18.93/19.17  (assume a3376 (forall ((A tptp.int) (B 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.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) A)))
% 18.93/19.17  (assume a3377 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)))))
% 18.93/19.17  (assume a3378 (forall ((A tptp.int) (B 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.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)))))
% 18.93/19.17  (assume a3379 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 18.93/19.17  (assume a3380 (forall ((A tptp.int) (B 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.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 18.93/19.17  (assume a3381 (forall ((B 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 18.93/19.17  (assume a3382 (forall ((B 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 B) (tptp.aa_int_int (tptp.divide_divide_int A) B))) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 18.93/19.17  (assume a3383 (forall ((A tptp.nat) (B 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) B)) 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 B) 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 B) C))) C)))))
% 18.93/19.17  (assume a3384 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) 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.divide_divide_int B) C))) (tptp.aa_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.modulo_modulo_int B) C))) C)))))
% 18.93/19.17  (assume a3385 (forall ((A tptp.bool) (B tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a3386 (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)))))
% 18.93/19.17  (assume a3387 (forall ((A2 tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A2) B2)) (=> (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 A2) N) tptp.zero_zero_nat) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) 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 A2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) N)))))))))
% 18.93/19.17  (assume a3388 (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))))))))))
% 18.93/19.17  (assume a3389 (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))))))))))
% 18.93/19.17  (assume a3390 (forall ((X2 tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X2) 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) X2)) (exists ((Q4 tptp.nat)) (= X2 (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) Q4))))))))
% 18.93/19.17  (assume a3391 (forall ((X2 tptp.nat) (A tptp.bool) (B tptp.bool)) (and (=> (= X2 tptp.zero_zero_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X2) (tptp.vEBT_Leaf tptp.fTrue B))) (=> (not (= X2 tptp.zero_zero_nat)) (and (=> (= X2 tptp.one_one_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X2) (tptp.vEBT_Leaf A tptp.fTrue))) (=> (not (= X2 tptp.one_one_nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X2) (tptp.vEBT_Leaf A B))))))))
% 18.93/19.17  (assume a3392 (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 18.93/19.17  (assume a3393 (forall ((A tptp.bool) (B tptp.bool) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.vEBT_Leaf A B)) X2)) (and (=> (= X2 tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X2 tptp.zero_zero_nat)) (and (=> (= X2 tptp.one_one_nat) (tptp.pp B)) (= X2 tptp.one_one_nat)))))))
% 18.93/19.17  (assume a3394 (forall ((A2 tptp.nat) (N tptp.nat)) (= A2 (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 A2) N)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A2) N)))))
% 18.93/19.17  (assume a3395 (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)))))
% 18.93/19.17  (assume a3396 (forall ((A tptp.bool) (B tptp.bool) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.vEBT_Leaf A B)) X2)) (and (=> (= X2 tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X2 tptp.zero_zero_nat)) (and (=> (= X2 tptp.one_one_nat) (tptp.pp B)) (= X2 tptp.one_one_nat)))))))
% 18.93/19.17  (assume a3397 (forall ((X2 tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X2))) (=> (forall ((Uv2 tptp.bool)) (not (= X2 (tptp.vEBT_Leaf tptp.fTrue Uv2)))) (=> (forall ((Uu2 tptp.bool)) (not (= X2 (tptp.vEBT_Leaf Uu2 tptp.fTrue)))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va3 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2) Vc2))))))))))
% 18.93/19.17  (assume a3398 (forall ((Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT) (Uz tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux) Uy)) Uz)))))
% 18.93/19.17  (assume a3399 (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 ((I5 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) I5)) J3)) (tptp.pp (tptp.aa_nat_bool P J3))))))))))
% 18.93/19.17  (assume a3400 (forall ((C tptp.nat) (A tptp.nat) (B 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 B) 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 B) (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) B)) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))))
% 18.93/19.17  (assume a3401 (forall ((C tptp.int) (A tptp.int) (B 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.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) 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 B) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C))) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))))
% 18.93/19.17  (assume a3402 (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))))
% 18.93/19.17  (assume a3403 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList) Summary) X2) (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X2) X2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList) Summary))))
% 18.93/19.17  (assume a3404 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B))) B)) (= (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B)) (tptp.modulo364778990260209775nteger A B))))))
% 18.93/19.17  (assume a3405 (forall ((B 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) B)) (=> (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))) B))) B)) (= (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))) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))))
% 18.93/19.17  (assume a3406 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_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))) B))) B)) (= (tptp.aa_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))) B)) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))))
% 18.93/19.17  (assume a3407 (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))))
% 18.93/19.17  (assume a3408 (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))))
% 18.93/19.17  (assume a3409 (forall ((A tptp.int)) (=> (= (tptp.aa_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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3410 (forall ((A tptp.code_integer) (N tptp.nat) (M tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 18.93/19.17  (assume a3411 (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)))))
% 18.93/19.17  (assume a3412 (forall ((A tptp.int) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_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.divide_divide_int (tptp.aa_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)))))
% 18.93/19.17  (assume a3413 (forall ((A2 tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A2) 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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A2) 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 B2) 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 B2) N)))))))
% 18.93/19.17  (assume a3414 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B))) B)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.divide6298287555418463151nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B))) (tptp.divide6298287555418463151nteger A B))))))
% 18.93/19.17  (assume a3415 (forall ((B 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) B)) (=> (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))) B))) B)) (= (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))) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 18.93/19.17  (assume a3416 (forall ((B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_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))) B))) B)) (= (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.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))) B))) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.17  (assume a3417 (forall ((M tptp.code_integer) (X2 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) X2)) (or (= (tptp.modulo364778990260209775nteger X2 (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) (tptp.modulo364778990260209775nteger X2 M)) (= (tptp.modulo364778990260209775nteger X2 (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger X2 M) M)))))))
% 18.93/19.17  (assume a3418 (forall ((M tptp.nat) (X2 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) X2)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X2) (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 X2) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X2) (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 X2) M)) M)))))))
% 18.93/19.17  (assume a3419 (forall ((M tptp.int) (X2 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) X2)) (or (= (tptp.aa_int_int (tptp.modulo_modulo_int X2) (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.modulo_modulo_int X2) M)) (= (tptp.aa_int_int (tptp.modulo_modulo_int X2) (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.modulo_modulo_int X2) M)) M)))))))
% 18.93/19.17  (assume a3420 (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.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)))))))))
% 18.93/19.17  (assume a3421 (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)))))))))
% 18.93/19.17  (assume a3422 (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.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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 18.93/19.17  (assume a3423 (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.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)))))))))
% 18.93/19.17  (assume a3424 (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)))))))))
% 18.93/19.17  (assume a3425 (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.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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 18.93/19.17  (assume a3426 (forall ((A tptp.code_integer) (B 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) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B)))) (= (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.divide6298287555418463151nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B))) tptp.one_one_Code_integer) (tptp.divide6298287555418463151nteger A B)))))))
% 18.93/19.17  (assume a3427 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (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))) B)))) (= (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))) B)))) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))))
% 18.93/19.17  (assume a3428 (forall ((A tptp.int) (B 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) (tptp.aa_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))) B)))) (= (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.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))) B)))) tptp.one_one_int) (tptp.aa_int_int (tptp.divide_divide_int A) B)))))))
% 18.93/19.17  (assume a3429 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt A1) A22)) (=> (=> (exists ((A3 tptp.bool) (B3 tptp.bool)) (= A1 (tptp.vEBT_Leaf A3 B3))) (not (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M3 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2) Summary2)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary2) M3)) (=> (= (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))) M3)) (=> (= M3 N2) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M3)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M3 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2) Summary2)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary2) M3)) (=> (= (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))) M3)) (=> (= M3 (tptp.aa_nat_nat tptp.suc N2)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M3)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M3 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2) Summary2)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary2) M3)) (=> (= (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))) M3)) (=> (= M3 N2) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M3)) (=> (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))) M3))) (= (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 ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) 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))) M3))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N2) 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) N2)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N2) 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 X) N2)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma2)))))))))))))))))))))) (not (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M3 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2) Summary2)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary2) M3)) (=> (= (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))) M3)) (=> (= M3 (tptp.aa_nat_nat tptp.suc N2)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M3)) (=> (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))) M3))) (= (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 ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) 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))) M3))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N2) 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) N2)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N2) 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 X) N2)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma2))))))))))))))))))))))))))))))
% 18.93/19.17  (assume a3430 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt A1) A22)) (or (and (exists ((A6 tptp.bool) (B6 tptp.bool)) (= A1 (tptp.vEBT_Leaf A6 B6))) (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList3) Summary3)) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X3) N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary3) N3)) (= (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))) N3)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) N3)) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_13)))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList3) Summary3)) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X3) N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N3))) (= (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 N3))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_nat_nat tptp.suc N3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_13)))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3) Summary3)) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X3) N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary3) N3)) (= (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))) N3)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) N3)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (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))) N3))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I5))))) (=> (= Mi3 Ma3) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) 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 ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (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))) N3))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N3) I5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N3)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N3) I5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma3))))))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3) Summary3)) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X3) N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N3))) (= (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 N3))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_nat_nat tptp.suc N3))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (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 N3)))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I5))))) (=> (= Mi3 Ma3) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) 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 ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (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 N3)))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N3) I5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N3)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N3) I5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma3)))))))))))))))
% 18.93/19.17  (assume a3431 (forall ((Z tptp.real) (X2 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 X2) 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 X2) Y))))))
% 18.93/19.17  (assume a3432 (forall ((Z tptp.rat) (X2 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.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y))))))
% 18.93/19.17  (assume a3433 (forall ((Z tptp.int) (X2 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 X2) 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 X2) Y))))))
% 18.93/19.17  (assume a3434 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (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))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_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 ((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_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_1)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList) Summary)) Deg)))))))))))
% 18.93/19.17  (assume a3435 (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.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)))))))))
% 18.93/19.17  (assume a3436 (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)))))))))
% 18.93/19.17  (assume a3437 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.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_se2159334234014336723it_int N) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 18.93/19.17  (assume a3438 (forall ((N tptp.nat) (Xs tptp.list_Code_integer) (Ys tptp.list_Code_integer)) (=> (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_s3445333598471063425nteger Xs)) (tptp.size_s3445333598471063425nteger Ys)))) (= (tptp.nth_Pr2304437835452373666nteger (tptp.produc8792966785426426881nteger Xs Ys) N) (tptp.produc1086072967326762835nteger (tptp.aa_nat_Code_integer (tptp.nth_Code_integer Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_s3445333598471063425nteger Ys))) (tptp.aa_nat_Code_integer (tptp.nth_Code_integer Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s3445333598471063425nteger Ys))))))))
% 18.93/19.17  (assume a3439 (forall ((N tptp.nat) (Xs tptp.list_Code_integer) (Ys 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_s3445333598471063425nteger Xs)) (tptp.size_size_list_bool Ys)))) (= (tptp.nth_Pr136253548056570280r_bool (tptp.produc2469108709554126195r_bool Xs Ys) N) (tptp.produc5135875973608410785r_bool (tptp.aa_nat_Code_integer (tptp.nth_Code_integer Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_bool Ys))) (tptp.aa_nat_bool (tptp.nth_bool Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys))))))))
% 18.93/19.17  (assume a3440 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys 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 Ys)))) (= (tptp.nth_Pr4953567300277697838T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys) 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 Ys))) (tptp.nth_VEBT_VEBT Ys (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 18.93/19.17  (assume a3441 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys 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 Ys)))) (= (tptp.nth_Pr1289831921885633937T_bool (tptp.produc5466675335756156456T_bool Xs Ys) 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 Ys))) (tptp.aa_nat_bool (tptp.nth_bool Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys))))))))
% 18.93/19.17  (assume a3442 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys 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 Ys)))) (= (tptp.nth_Pr1791586995822124652BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys) 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 Ys))) (tptp.aa_nat_nat (tptp.nth_nat Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys))))))))
% 18.93/19.17  (assume a3443 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys 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 Ys)))) (= (tptp.nth_Pr6837108013167703752BT_int (tptp.produc7292646706713671643BT_int Xs Ys) 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 Ys))) (tptp.aa_nat_int (tptp.nth_int Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys))))))))
% 18.93/19.17  (assume a3444 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys 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 Ys)))) (= (tptp.nth_Pr3250499561091541003T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys) 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 Ys))) (tptp.nth_VEBT_VEBT Ys (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 18.93/19.17  (assume a3445 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys 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 Ys)))) (= (tptp.nth_Pr2856333732135533678l_bool (tptp.product_bool_bool Xs Ys) 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 Ys))) (tptp.aa_nat_bool (tptp.nth_bool Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys))))))))
% 18.93/19.17  (assume a3446 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys 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 Ys)))) (= (tptp.nth_Pr2186422209488468047ol_nat (tptp.product_bool_nat Xs Ys) 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 Ys))) (tptp.aa_nat_nat (tptp.nth_nat Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys))))))))
% 18.93/19.17  (assume a3447 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys 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 Ys)))) (= (tptp.nth_Pr7231943226834047147ol_int (tptp.product_bool_int Xs Ys) 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 Ys))) (tptp.aa_nat_int (tptp.nth_int Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys))))))))
% 18.93/19.17  (assume a3448 (= (tptp.size_s170228958280169651at_nat tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3449 (= (tptp.size_size_option_num tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3450 (forall ((X22 tptp.product_prod_nat_nat)) (= (tptp.size_s170228958280169651at_nat (tptp.some_P7363390416028606310at_nat X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3451 (forall ((X22 tptp.num)) (= (tptp.size_size_option_num (tptp.some_num X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3452 (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.aa_nat_Code_integer (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 18.93/19.17  (assume a3453 (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))))))))
% 18.93/19.17  (assume a3454 (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.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.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))))))))
% 18.93/19.17  (assume a3455 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 18.93/19.17  (assume a3456 (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)))))))
% 18.93/19.17  (assume a3457 (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.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.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)))))))
% 18.93/19.17  (assume a3458 (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.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)))))))))
% 18.93/19.17  (assume a3459 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.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_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 18.93/19.17  (assume a3460 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X2 Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A3 tptp.fTrue))) (=> (not (= Xa2 tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A3 B3))))))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3)) (not (= Y (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2) S3)) (not (= Y (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2) S3))))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2)) (not (= Y (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) Xa2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2)) (not (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Ma2)))) (tptp.aa_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Xa2) 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 Xa2) Mi2)) Mi2) Xa2)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) Mi2) Xa2)) (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 Xa2) Mi2)) Mi2) Xa2)) (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_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) Mi2) Xa2)) (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)))))) Summary2))) (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2))))))))))))))
% 18.93/19.17  (assume a3461 (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)))))
% 18.93/19.17  (assume a3462 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_set_vebt T) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member T)))))
% 18.93/19.17  (assume a3463 (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))))
% 18.93/19.17  (assume a3464 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_af P) Q)))) (and (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real P))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real Q)))))))
% 18.93/19.17  (assume a3465 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ag P) Q))) (and (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat P)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat Q))))))
% 18.93/19.17  (assume a3466 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_ah P) Q)))) (and (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat P))) (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat Q)))))))
% 18.93/19.17  (assume a3467 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ai P) Q)))) (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat Q)))))))
% 18.93/19.17  (assume a3468 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_aj P) Q)))) (and (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int P))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int Q)))))))
% 18.93/19.17  (assume a3469 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_ak P) Q)))) (and (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex P))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex Q)))))))
% 18.93/19.17  (assume a3470 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (=> (or (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real P))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real Q)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_al P) Q)))))))
% 18.93/19.17  (assume a3471 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (or (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat P)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat Q))) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_am P) Q))))))
% 18.93/19.17  (assume a3472 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (or (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat P))) (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat Q)))) (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_an P) Q)))))))
% 18.93/19.17  (assume a3473 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (or (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat Q)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ao P) Q)))))))
% 18.93/19.17  (assume a3474 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (or (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int P))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int Q)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_ap P) Q)))))))
% 18.93/19.17  (assume a3475 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (or (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex P))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex Q)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_aq P) Q)))))))
% 18.93/19.17  (assume a3476 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ar A) B))))))
% 18.93/19.17  (assume a3477 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_as A) B))))))
% 18.93/19.17  (assume a3478 (forall ((A tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex tptp.zero_zero_complex) A)) (= A tptp.zero_zero_complex))))
% 18.93/19.17  (assume a3479 (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))))
% 18.93/19.17  (assume a3480 (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))))
% 18.93/19.17  (assume a3481 (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))))
% 18.93/19.17  (assume a3482 (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))))
% 18.93/19.17  (assume a3483 (forall ((A tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) tptp.zero_zero_complex))))
% 18.93/19.17  (assume a3484 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) tptp.zero_zero_real))))
% 18.93/19.17  (assume a3485 (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))))
% 18.93/19.17  (assume a3486 (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))))
% 18.93/19.17  (assume a3487 (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))))
% 18.93/19.17  (assume a3488 (forall ((A tptp.real) (B 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 B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 18.93/19.17  (assume a3489 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 18.93/19.17  (assume a3490 (forall ((A tptp.nat) (B 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 B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 18.93/19.17  (assume a3491 (forall ((A tptp.int) (B 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 B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 18.93/19.17  (assume a3492 (forall ((A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 18.93/19.17  (assume a3493 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 18.93/19.17  (assume a3494 (forall ((A tptp.nat) (B 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 18.93/19.17  (assume a3495 (forall ((A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 18.93/19.17  (assume a3496 (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))))
% 18.93/19.17  (assume a3497 (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)))))
% 18.93/19.17  (assume a3498 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (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 B) 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 B) C)))))))
% 18.93/19.17  (assume a3499 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (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.divide_divide_int B) A)) (tptp.aa_int_int (tptp.divide_divide_int C) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) C)))))))
% 18.93/19.17  (assume a3500 (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))))))
% 18.93/19.17  (assume a3501 (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_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)))))
% 18.93/19.17  (assume a3502 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 18.93/19.17  (assume a3503 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_at A2)))))))
% 18.93/19.17  (assume a3504 (forall ((A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.finite6551019134538273531omplex (tptp.collect_set_complex (tptp.aTP_Lamm_au A2))))))
% 18.93/19.17  (assume a3505 (forall ((A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.finite6197958912794628473et_int (tptp.collect_set_int (tptp.aTP_Lamm_av A2))))))
% 18.93/19.17  (assume a3506 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_aw A) B))))))
% 18.93/19.17  (assume a3507 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ax A) B))))))
% 18.93/19.17  (assume a3508 (forall ((K tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay K))))))
% 18.93/19.17  (assume a3509 (forall ((K tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_az K))))))
% 18.93/19.17  (assume a3510 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) (tptp.aa_complex_complex (tptp.times_times_complex C) B))) (or (= C tptp.zero_zero_complex) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B))))))
% 18.93/19.17  (assume a3511 (forall ((C tptp.real) (A tptp.real) (B 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) B))) (or (= C tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B))))))
% 18.93/19.17  (assume a3512 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) B))) (or (= C tptp.zero_zero_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B))))))
% 18.93/19.17  (assume a3513 (forall ((C tptp.int) (A tptp.int) (B 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) B))) (or (= C tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 18.93/19.17  (assume a3514 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) C))) (or (= C tptp.zero_zero_complex) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B))))))
% 18.93/19.17  (assume a3515 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (or (= C tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B))))))
% 18.93/19.17  (assume a3516 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C))) (or (= C tptp.zero_zero_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B))))))
% 18.93/19.17  (assume a3517 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (or (= C tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 18.93/19.17  (assume a3518 (forall ((A tptp.nat) (B 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) B)) (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 B) C))))))
% 18.93/19.17  (assume a3519 (forall ((A tptp.int) (B 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) B)) (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 B) C))))))
% 18.93/19.17  (assume a3520 (forall ((A tptp.nat) (B 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 B) 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 B) C))))))
% 18.93/19.17  (assume a3521 (forall ((A tptp.int) (B 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 B) 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 B) C))))))
% 18.93/19.17  (assume a3522 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.one_one_nat))))))
% 18.93/19.17  (assume a3523 (forall ((A tptp.int) (B 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 B) 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) B)) tptp.one_one_int))))))
% 18.93/19.17  (assume a3524 (forall ((A tptp.real) (B 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 B) (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) B)))))
% 18.93/19.17  (assume a3525 (forall ((A tptp.rat) (B 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.plus_plus_rat B) (tptp.aa_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) B)))))
% 18.93/19.17  (assume a3526 (forall ((A tptp.nat) (B 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 B) (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) B)))))
% 18.93/19.17  (assume a3527 (forall ((A tptp.int) (B 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 B) (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) B)))))
% 18.93/19.17  (assume a3528 (forall ((A tptp.real) (C tptp.real) (B 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)) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 18.93/19.17  (assume a3529 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat C) A)) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 18.93/19.17  (assume a3530 (forall ((A tptp.nat) (C tptp.nat) (B 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)) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 18.93/19.17  (assume a3531 (forall ((A tptp.int) (C tptp.int) (B 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)) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 18.93/19.17  (assume a3532 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (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 B) A)) A) B))))
% 18.93/19.17  (assume a3533 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int B) A)) A) B))))
% 18.93/19.17  (assume a3534 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (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 B) A)) B))))
% 18.93/19.17  (assume a3535 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.divide_divide_int B) A)) B))))
% 18.93/19.17  (assume a3536 (forall ((A tptp.nat) (B 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 B) 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) B)) tptp.one_one_nat))))))
% 18.93/19.17  (assume a3537 (forall ((A tptp.int) (B 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 B) 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.divide_divide_int A) B)) tptp.one_one_int))))))
% 18.93/19.17  (assume a3538 (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)))))
% 18.93/19.17  (assume a3539 (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.divide_divide_int tptp.one_one_int) A)) tptp.one_one_int)))))
% 18.93/19.17  (assume a3540 (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))))
% 18.93/19.17  (assume a3541 (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.divide_divide_int tptp.one_one_int) (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) A)) A))))
% 18.93/19.17  (assume a3542 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (= (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) B)) 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 B) C)))))))
% 18.93/19.17  (assume a3543 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.divide_divide_int B) C)))))))
% 18.93/19.17  (assume a3544 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) A) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3545 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int B) A) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3546 (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.modulo_modulo_int K) L) K)))))
% 18.93/19.17  (assume a3547 (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.modulo_modulo_int K) L) K)))))
% 18.93/19.17  (assume a3548 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s7466405169056248089T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 18.93/19.17  (assume a3549 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_bool)) (= (tptp.size_s1343096544515248124T_bool (tptp.produc5466675335756156456T_bool Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_bool Ys)))))
% 18.93/19.17  (assume a3550 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_nat)) (= (tptp.size_s6152045936467909847BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_nat Ys)))))
% 18.93/19.17  (assume a3551 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_int)) (= (tptp.size_s3661962791536183091BT_int (tptp.produc7292646706713671643BT_int Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_int Ys)))))
% 18.93/19.17  (assume a3552 (forall ((Xs tptp.list_bool) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s7211631430880329078T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 18.93/19.17  (assume a3553 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (= (tptp.size_s6988337448923680857l_bool (tptp.product_bool_bool Xs Ys)) (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 Ys)))))
% 18.93/19.17  (assume a3554 (forall ((Xs tptp.list_bool) (Ys tptp.list_nat)) (= (tptp.size_s3243772863075988794ol_nat (tptp.product_bool_nat Xs Ys)) (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 Ys)))))
% 18.93/19.17  (assume a3555 (forall ((Xs tptp.list_bool) (Ys tptp.list_int)) (= (tptp.size_s753689718144262038ol_int (tptp.product_bool_int Xs Ys)) (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 Ys)))))
% 18.93/19.17  (assume a3556 (forall ((Xs tptp.list_nat) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s4762443039079500285T_VEBT (tptp.produc7156399406898700509T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 18.93/19.17  (assume a3557 (forall ((Xs tptp.list_nat) (Ys tptp.list_bool)) (= (tptp.size_s783543119881238752t_bool (tptp.product_nat_bool Xs Ys)) (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 Ys)))))
% 18.93/19.17  (assume a3558 (forall ((A tptp.nat) (B 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 B) A)) A) B))))
% 18.93/19.17  (assume a3559 (forall ((A tptp.int) (B 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.divide_divide_int B) A)) A) B))))
% 18.93/19.17  (assume a3560 (forall ((A tptp.nat) (B 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 B) (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 B) A)))))
% 18.93/19.17  (assume a3561 (forall ((A tptp.int) (B 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 B) (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) A)) (tptp.aa_int_int (tptp.divide_divide_int B) A)))))
% 18.93/19.17  (assume a3562 (forall ((N tptp.nat) (A tptp.nat) (B 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 B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B))))))
% 18.93/19.17  (assume a3563 (forall ((N tptp.nat) (A tptp.int) (B 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 B) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 18.93/19.17  (assume a3564 (forall ((A tptp.nat) (B 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) B))) (= (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))) B))))))
% 18.93/19.17  (assume a3565 (forall ((A tptp.int) (B 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) B))) (= (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))) B))))))
% 18.93/19.17  (assume a3566 (forall ((A tptp.code_integer) (B 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 B))) (= (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))) B))))))
% 18.93/19.17  (assume a3567 (forall ((A tptp.nat) (B 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) B)))) (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))) B))))))))
% 18.93/19.17  (assume a3568 (forall ((A tptp.int) (B 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) B)))) (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))) B))))))))
% 18.93/19.17  (assume a3569 (forall ((A tptp.code_integer) (B 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 B)))) (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))) B))))))))
% 18.93/19.17  (assume a3570 (forall ((A tptp.real) (W2 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.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W2)))) (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 W2))) (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 W2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 18.93/19.17  (assume a3571 (forall ((A tptp.rat) (W2 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 W2)))) (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 W2))) (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 W2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))
% 18.93/19.17  (assume a3572 (forall ((A tptp.int) (W2 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 W2)))) (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 W2))) (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 W2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 18.93/19.17  (assume a3573 (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.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))))))
% 18.93/19.17  (assume a3574 (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))))))
% 18.93/19.17  (assume a3575 (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))))))
% 18.93/19.17  (assume a3576 (forall ((A tptp.real) (W2 tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W2))) 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 W2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 18.93/19.17  (assume a3577 (forall ((A tptp.rat) (W2 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 W2))) 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 W2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 18.93/19.17  (assume a3578 (forall ((A tptp.int) (W2 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 W2))) 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 W2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 18.93/19.17  (assume a3579 (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))))))
% 18.93/19.17  (assume a3580 (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))))))
% 18.93/19.17  (assume a3581 (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))))))
% 18.93/19.17  (assume a3582 (forall ((A tptp.real) (W2 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.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W2)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W2) 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 W2))) (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 W2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 18.93/19.17  (assume a3583 (forall ((A tptp.rat) (W2 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 W2)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W2) 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 W2))) (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 W2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))
% 18.93/19.17  (assume a3584 (forall ((A tptp.int) (W2 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 W2)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W2) 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 W2))) (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 W2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 18.93/19.17  (assume a3585 (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)))))))
% 18.93/19.17  (assume a3586 (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)))))))
% 18.93/19.17  (assume a3587 (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.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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 18.93/19.17  (assume a3588 (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)))))))
% 18.93/19.17  (assume a3589 (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)))))))
% 18.93/19.17  (assume a3590 (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.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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 18.93/19.17  (assume a3591 (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)))))
% 18.93/19.17  (assume a3592 (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)))))
% 18.93/19.17  (assume a3593 (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.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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)))))
% 18.93/19.17  (assume a3594 (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))))))
% 18.93/19.17  (assume a3595 (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))))))
% 18.93/19.17  (assume a3596 (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.aa_nat_Code_integer (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))))))
% 18.93/19.17  (assume a3597 (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.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))))
% 18.93/19.17  (assume a3598 (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))))
% 18.93/19.17  (assume a3599 (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.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))))
% 18.93/19.17  (assume a3600 (forall ((A tptp.real) (W2 tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W2))) 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 W2))) (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 W2)))) (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 W2))) (= A tptp.zero_zero_real)))))))
% 18.93/19.17  (assume a3601 (forall ((A tptp.rat) (W2 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 W2))) 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 W2))) (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 W2)))) (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 W2))) (= A tptp.zero_zero_rat)))))))
% 18.93/19.17  (assume a3602 (forall ((A tptp.int) (W2 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 W2))) 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 W2))) (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 W2)))) (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 W2))) (= A tptp.zero_zero_int)))))))
% 18.93/19.17  (assume a3603 (forall ((I tptp.int)) (=> (not (= I tptp.zero_zero_int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba I)))))))
% 18.93/19.17  (assume a3604 (forall ((X6 tptp.set_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb X6) P))) X6))))
% 18.93/19.17  (assume a3605 (forall ((X6 tptp.set_real) (P tptp.fun_real_bool)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc X6) P))) X6))))
% 18.93/19.17  (assume a3606 (forall ((X6 tptp.set_list_nat) (P tptp.fun_list_nat_bool)) (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_bd X6) P)) X6)))
% 18.93/19.17  (assume a3607 (forall ((X6 tptp.set_set_nat) (P tptp.fun_set_nat_bool)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_be X6) P))) X6))))
% 18.93/19.17  (assume a3608 (forall ((X6 tptp.set_nat) (P tptp.fun_nat_bool)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf X6) P))) X6))))
% 18.93/19.17  (assume a3609 (forall ((X6 tptp.set_int) (P tptp.fun_int_bool)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg X6) P))) X6))))
% 18.93/19.17  (assume a3610 (forall ((X2 tptp.vEBT_VEBT) (Z4 tptp.set_VEBT_VEBT) (X6 tptp.set_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) Z4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT Z4) (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb X6) P)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X2))))))
% 18.93/19.17  (assume a3611 (forall ((X2 tptp.real) (Z4 tptp.set_real) (X6 tptp.set_real) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) Z4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Z4) (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc X6) P)))) (tptp.pp (tptp.aa_real_bool P X2))))))
% 18.93/19.17  (assume a3612 (forall ((X2 tptp.list_nat) (Z4 tptp.set_list_nat) (X6 tptp.set_list_nat) (P tptp.fun_list_nat_bool)) (=> (tptp.member_list_nat X2 Z4) (=> (tptp.ord_le6045566169113846134st_nat Z4 (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_bd X6) P))) (tptp.pp (tptp.aa_list_nat_bool P X2))))))
% 18.93/19.17  (assume a3613 (forall ((X2 tptp.set_nat) (Z4 tptp.set_set_nat) (X6 tptp.set_set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) Z4)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat Z4) (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_be X6) P)))) (tptp.pp (tptp.aa_set_nat_bool P X2))))))
% 18.93/19.17  (assume a3614 (forall ((X2 tptp.nat) (Z4 tptp.set_nat) (X6 tptp.set_nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) Z4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat Z4) (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf X6) P)))) (tptp.pp (tptp.aa_nat_bool P X2))))))
% 18.93/19.17  (assume a3615 (forall ((X2 tptp.int) (Z4 tptp.set_int) (X6 tptp.set_int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) Z4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Z4) (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg X6) P)))) (tptp.pp (tptp.aa_int_bool P X2))))))
% 18.93/19.17  (assume a3616 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_bh A))) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_bh B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 18.93/19.17  (assume a3617 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi A))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 18.93/19.17  (assume a3618 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba A))) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba B)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 18.93/19.17  (assume a3619 (forall ((A2 tptp.set_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) A2))))
% 18.93/19.17  (assume a3620 (forall ((A2 tptp.set_real) (P tptp.fun_real_bool)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) A2))))
% 18.93/19.17  (assume a3621 (forall ((A2 tptp.set_list_nat) (P tptp.fun_list_nat_bool)) (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_bd A2) P)) A2)))
% 18.93/19.17  (assume a3622 (forall ((A2 tptp.set_set_nat) (P tptp.fun_set_nat_bool)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_be A2) P))) A2))))
% 18.93/19.17  (assume a3623 (forall ((A2 tptp.set_nat) (P tptp.fun_nat_bool)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf A2) P))) A2))))
% 18.93/19.17  (assume a3624 (forall ((A2 tptp.set_int) (P tptp.fun_int_bool)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg A2) P))) A2))))
% 18.93/19.17  (assume a3625 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (tptp.ord_le8840051076831633728t_bool (tptp.aTP_Lamm_ad A2) (tptp.aTP_Lamm_ad B2)))))
% 18.93/19.17  (assume a3626 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (tptp.ord_le7893757273149057542T_bool (tptp.aTP_Lamm_a A2) (tptp.aTP_Lamm_a B2)))))
% 18.93/19.17  (assume a3627 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)) (tptp.ord_le1461730252015488778t_bool (tptp.aTP_Lamm_ac A2) (tptp.aTP_Lamm_ac B2)))))
% 18.93/19.17  (assume a3628 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (tptp.ord_le5573776112191778788l_bool (tptp.aTP_Lamm_aa A2) (tptp.aTP_Lamm_aa B2)))))
% 18.93/19.17  (assume a3629 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.ord_le5715760110363009508t_bool (tptp.aTP_Lamm_ae A2) (tptp.aTP_Lamm_ae B2)))))
% 18.93/19.17  (assume a3630 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) A))))
% 18.93/19.17  (assume a3631 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) A))))
% 18.93/19.17  (assume a3632 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3633 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3634 (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat tptp.aTP_Lamm_bj)))
% 18.93/19.17  (assume a3635 (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat tptp.aTP_Lamm_bk)))
% 18.93/19.17  (assume a3636 (= tptp.bot_bot_set_real (tptp.collect_real tptp.aTP_Lamm_bl)))
% 18.93/19.17  (assume a3637 (= tptp.bot_bot_set_nat (tptp.collect_nat tptp.aTP_Lamm_bm)))
% 18.93/19.17  (assume a3638 (= tptp.bot_bot_set_int (tptp.collect_int tptp.aTP_Lamm_bn)))
% 18.93/19.17  (assume a3639 (forall ((P tptp.fun_real_bool)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real P)))) (exists ((X_1 tptp.real)) (tptp.pp (tptp.aa_real_bool P X_1))))))
% 18.93/19.17  (assume a3640 (forall ((P tptp.fun_list_nat_bool)) (=> (not (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat P))) (exists ((X_1 tptp.list_nat)) (tptp.pp (tptp.aa_list_nat_bool P X_1))))))
% 18.93/19.17  (assume a3641 (forall ((P tptp.fun_set_nat_bool)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat (tptp.collect_set_nat P)))) (exists ((X_1 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool P X_1))))))
% 18.93/19.17  (assume a3642 (forall ((P tptp.fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P)))) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_1))))))
% 18.93/19.17  (assume a3643 (forall ((P tptp.fun_int_bool)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int P)))) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_1))))))
% 18.93/19.17  (assume a3644 (forall ((P tptp.fun_complex_bool)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex P)))) (exists ((X_1 tptp.complex)) (tptp.pp (tptp.aa_complex_bool P X_1))))))
% 18.93/19.17  (assume a3645 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_nat) (R tptp.fun_VE3763956218935105199t_bool)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool R X4) Xa)))))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_nat8029987864780243636T_bool (tptp.aa_fun4018725027000996448T_bool (tptp.aTP_Lamm_bo A2) R) X4))))))))))))
% 18.93/19.17  (assume a3646 (forall ((A2 tptp.set_real) (B2 tptp.set_nat) (R tptp.fun_re9121486324101951821t_bool)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_real_fun_nat_bool R X4) Xa)))))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aa_fun3382945097342017788l_bool (tptp.aTP_Lamm_bp A2) R) X4))))))))))))
% 18.93/19.17  (assume a3647 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_int) (R tptp.fun_VE3303673267288458579t_bool)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_VEB1707969225601237452t_bool R X4) Xa)))))) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B2)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_int3199078826956362512T_bool (tptp.aa_fun4417922564241321824T_bool (tptp.aTP_Lamm_bq A2) R) X4))))))))))))
% 18.93/19.17  (assume a3648 (forall ((A2 tptp.set_real) (B2 tptp.set_int) (R tptp.fun_re8661203372455305201t_bool)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_real_fun_int_bool R X4) Xa)))))) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B2)) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_int_fun_real_bool (tptp.aa_fun1536421850685375484l_bool (tptp.aTP_Lamm_br A2) R) X4))))))))))))
% 18.93/19.17  (assume a3649 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_complex) (R tptp.fun_VE2128610149277289041x_bool)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) B2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_VEB8450443329232412106x_bool R X4) Xa)))))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_com4769948546659418770T_bool (tptp.aa_fun3341029659329701088T_bool (tptp.aTP_Lamm_bs A2) R) X4))))))))))))
% 18.93/19.17  (assume a3650 (forall ((A2 tptp.set_real) (B2 tptp.set_complex) (R tptp.fun_re3010880487650781423x_bool)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) B2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_rea5887071448072802392x_bool R X4) Xa)))))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_com8943241093633526360l_bool (tptp.aa_fun8455611678790336124l_bool (tptp.aTP_Lamm_bt A2) R) X4))))))))))))
% 18.93/19.17  (assume a3651 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (R tptp.fun_nat_fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X4) Xa)))))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_bu A2) R) X4))))))))))))
% 18.93/19.17  (assume a3652 (forall ((A2 tptp.set_nat) (B2 tptp.set_int) (R tptp.fun_nat_fun_int_bool)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool R X4) Xa)))))) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B2)) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aa_fun8184653438340336124t_bool (tptp.aTP_Lamm_bv A2) R) X4))))))))))))
% 18.93/19.17  (assume a3653 (forall ((A2 tptp.set_nat) (B2 tptp.set_complex) (R tptp.fun_na5941084329111710283x_bool)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) B2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool R X4) Xa)))))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun8674784841953735804t_bool (tptp.aTP_Lamm_bw A2) R) X4))))))))))))
% 18.93/19.17  (assume a3654 (forall ((A2 tptp.set_int) (B2 tptp.set_nat) (R tptp.fun_int_fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool R X4) Xa)))))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_nat_fun_int_bool (tptp.aa_fun3035398748895483388t_bool (tptp.aTP_Lamm_bx A2) R) X4))))))))))))
% 18.93/19.17  (assume a3655 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) B2)) (tptp.ord_le6841235830588351564t_bool (tptp.aTP_Lamm_ad A2) (tptp.aTP_Lamm_ad B2)))))
% 18.93/19.17  (assume a3656 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT A2) B2)) (tptp.ord_le763421453198481914T_bool (tptp.aTP_Lamm_a A2) (tptp.aTP_Lamm_a B2)))))
% 18.93/19.17  (assume a3657 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (tptp.ord_le3716944864119727344t_bool (tptp.aTP_Lamm_ae A2) (tptp.aTP_Lamm_ae B2)))))
% 18.93/19.17  (assume a3658 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat A2) B2)) (tptp.ord_le4523237222650602006t_bool (tptp.aTP_Lamm_ac A2) (tptp.aTP_Lamm_ac B2)))))
% 18.93/19.17  (assume a3659 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (tptp.ord_le7519368973566061808l_bool (tptp.aTP_Lamm_aa A2) (tptp.aTP_Lamm_aa B2)))))
% 18.93/19.17  (assume a3660 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_bh A))) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_bh B)))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)))))))
% 18.93/19.17  (assume a3661 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi A))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi B)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))))
% 18.93/19.17  (assume a3662 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba A))) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba B)))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)))))))
% 18.93/19.17  (assume a3663 (= tptp.aTP_Lamm_by (tptp.times_times_complex tptp.zero_zero_complex)))
% 18.93/19.17  (assume a3664 (= tptp.aTP_Lamm_bz (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.zero_zero_real)))
% 18.93/19.17  (assume a3665 (= tptp.aTP_Lamm_ca (tptp.times_times_rat tptp.zero_zero_rat)))
% 18.93/19.17  (assume a3666 (= tptp.aTP_Lamm_cb (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat)))
% 18.93/19.17  (assume a3667 (= tptp.aTP_Lamm_cc (tptp.aa_int_fun_int_int tptp.times_times_int tptp.zero_zero_int)))
% 18.93/19.17  (assume a3668 (= tptp.aTP_Lamm_cd (tptp.times_times_complex tptp.one_one_complex)))
% 18.93/19.17  (assume a3669 (= tptp.aTP_Lamm_ce (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real)))
% 18.93/19.17  (assume a3670 (= tptp.aTP_Lamm_cf (tptp.times_times_rat tptp.one_one_rat)))
% 18.93/19.17  (assume a3671 (= tptp.aTP_Lamm_cg (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat)))
% 18.93/19.17  (assume a3672 (= tptp.aTP_Lamm_ch (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int)))
% 18.93/19.17  (assume a3673 (forall ((X tptp.set_int) (Xa tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X) Xa)) (= (tptp.ord_max_set_int X Xa) Xa)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X) Xa))) (= (tptp.ord_max_set_int X Xa) X)))))
% 18.93/19.17  (assume a3674 (forall ((X tptp.rat) (Xa tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Xa)) (= (tptp.aa_rat_rat (tptp.ord_max_rat X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Xa))) (= (tptp.aa_rat_rat (tptp.ord_max_rat X) Xa) X)))))
% 18.93/19.17  (assume a3675 (forall ((X tptp.num) (Xa tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Xa)) (= (tptp.aa_num_num (tptp.ord_max_num X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Xa))) (= (tptp.aa_num_num (tptp.ord_max_num X) Xa) X)))))
% 18.93/19.17  (assume a3676 (forall ((X tptp.nat) (Xa tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Xa) X)))))
% 18.93/19.17  (assume a3677 (forall ((X tptp.int) (Xa tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Xa) X)))))
% 18.93/19.17  (assume a3678 (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.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi M)))))))
% 18.93/19.17  (assume a3679 (forall ((P tptp.fun_nat_bool) (I tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ci P) I))))))
% 18.93/19.17  (assume a3680 (forall ((F tptp.fun_nat_nat) (U tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) (tptp.aa_nat_nat F N2)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_cj F) U)))))))
% 18.93/19.17  (assume a3681 (forall ((A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex tptp.zero_zero_complex) A)) (= A tptp.zero_zero_complex))))
% 18.93/19.17  (assume a3682 (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))))
% 18.93/19.17  (assume a3683 (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))))
% 18.93/19.17  (assume a3684 (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))))
% 18.93/19.17  (assume a3685 (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))))
% 18.93/19.17  (assume a3686 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)) (=> (= A tptp.zero_zero_complex) (= B tptp.zero_zero_complex)))))
% 18.93/19.17  (assume a3687 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (=> (= A tptp.zero_zero_real) (= B tptp.zero_zero_real)))))
% 18.93/19.17  (assume a3688 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (=> (= A tptp.zero_zero_rat) (= B tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a3689 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (not (forall ((K3 tptp.real)) (not (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) K3))))))))
% 18.93/19.17  (assume a3690 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)) (not (forall ((K3 tptp.rat)) (not (= A (tptp.aa_rat_rat (tptp.times_times_rat B) K3))))))))
% 18.93/19.17  (assume a3691 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (not (forall ((K3 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) K3))))))))
% 18.93/19.17  (assume a3692 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (not (forall ((K3 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) K3))))))))
% 18.93/19.17  (assume a3693 (forall ((A tptp.real) (B tptp.real) (K tptp.real)) (=> (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) K)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)))))
% 18.93/19.17  (assume a3694 (forall ((A tptp.rat) (B tptp.rat) (K tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.times_times_rat B) K)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)))))
% 18.93/19.17  (assume a3695 (forall ((A tptp.nat) (B tptp.nat) (K tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))
% 18.93/19.17  (assume a3696 (forall ((A tptp.int) (B tptp.int) (K tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)))))
% 18.93/19.17  (assume a3697 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (exists ((K2 tptp.real)) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) K2))))))
% 18.93/19.17  (assume a3698 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)) (exists ((K2 tptp.rat)) (= A (tptp.aa_rat_rat (tptp.times_times_rat B) K2))))))
% 18.93/19.17  (assume a3699 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (exists ((K2 tptp.nat)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) K2))))))
% 18.93/19.17  (assume a3700 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (exists ((K2 tptp.int)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) K2))))))
% 18.93/19.17  (assume a3701 (forall ((P3 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B))) (not (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (= P3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X4) Y2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X4) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Y2) B))))))))))
% 18.93/19.17  (assume a3702 (forall ((P3 tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int P3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))) (not (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (= P3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X4) Y2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X4) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Y2) B))))))))))
% 18.93/19.17  (assume a3703 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))))))
% 18.93/19.17  (assume a3704 (forall ((A tptp.rat) (C tptp.rat) (B 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.times_times_rat B) C))))))
% 18.93/19.17  (assume a3705 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))))))
% 18.93/19.17  (assume a3706 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))))))
% 18.93/19.17  (assume a3707 (forall ((A tptp.nat) (B 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 B) C))) (exists ((B7 tptp.nat) (C5 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B7) C5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B7) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C5) C)))))))
% 18.93/19.17  (assume a3708 (forall ((A tptp.int) (B 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 B) C))) (exists ((B7 tptp.int) (C5 tptp.int)) (and (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B7) C5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B7) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C5) C)))))))
% 18.93/19.17  (assume a3709 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (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 B) C))))))
% 18.93/19.17  (assume a3710 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) C))))))
% 18.93/19.17  (assume a3711 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (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 B) C))))))
% 18.93/19.17  (assume a3712 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (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 B) C))))))
% 18.93/19.17  (assume a3713 (forall ((A tptp.real) (B 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) B)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)))))
% 18.93/19.17  (assume a3714 (forall ((A tptp.rat) (B 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.times_times_rat A) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)))))
% 18.93/19.17  (assume a3715 (forall ((A tptp.nat) (B 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) B)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)))))
% 18.93/19.17  (assume a3716 (forall ((A tptp.int) (B 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) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)))))
% 18.93/19.17  (assume a3717 (forall ((A tptp.real) (B 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) B)))))
% 18.93/19.17  (assume a3718 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.times_times_rat A) B)))))
% 18.93/19.17  (assume a3719 (forall ((A tptp.nat) (B 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) B)))))
% 18.93/19.17  (assume a3720 (forall ((A tptp.int) (B 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) B)))))
% 18.93/19.17  (assume a3721 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (=> (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 B) D)))))))
% 18.93/19.17  (assume a3722 (forall ((A tptp.rat) (B 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) B)) (=> (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.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) D)))))))
% 18.93/19.17  (assume a3723 (forall ((A tptp.nat) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.17  (assume a3724 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 18.93/19.17  (assume a3725 (forall ((A tptp.real) (B 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) B)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) C)))))
% 18.93/19.17  (assume a3726 (forall ((A tptp.rat) (B 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.times_times_rat A) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) C)))))
% 18.93/19.17  (assume a3727 (forall ((A tptp.nat) (B 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) B)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)))))
% 18.93/19.17  (assume a3728 (forall ((A tptp.int) (B 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) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) C)))))
% 18.93/19.17  (assume a3729 (forall ((A tptp.real) (B 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 B) A)))))
% 18.93/19.17  (assume a3730 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) A)))))
% 18.93/19.17  (assume a3731 (forall ((A tptp.nat) (B 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 B) A)))))
% 18.93/19.17  (assume a3732 (forall ((A tptp.int) (B 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 B) A)))))
% 18.93/19.17  (assume a3733 (forall ((A tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex tptp.one_one_complex) A))))
% 18.93/19.17  (assume a3734 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real tptp.one_one_real) A))))
% 18.93/19.17  (assume a3735 (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))))
% 18.93/19.17  (assume a3736 (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))))
% 18.93/19.17  (assume a3737 (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))))
% 18.93/19.17  (assume a3738 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))
% 18.93/19.17  (assume a3739 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)))))
% 18.93/19.17  (assume a3740 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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))))))
% 18.93/19.17  (assume a3741 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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))))))
% 18.93/19.17  (assume a3742 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (= (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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C))))))
% 18.93/19.17  (assume a3743 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C))))))
% 18.93/19.17  (assume a3744 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3745 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3746 (forall ((A tptp.real) (C tptp.real) (B 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 B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B))))))
% 18.93/19.17  (assume a3747 (forall ((A tptp.rat) (C tptp.rat) (B 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.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B))))))
% 18.93/19.17  (assume a3748 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B))))))
% 18.93/19.17  (assume a3749 (forall ((A tptp.int) (C tptp.int) (B 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 18.93/19.17  (assume a3750 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a3751 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (=> (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.plus_plus_rat B) C)))))))
% 18.93/19.17  (assume a3752 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a3753 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (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 B) C)))))))
% 18.93/19.17  (assume a3754 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (= (= (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 B) C)) (= A B))))))
% 18.93/19.17  (assume a3755 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (= (= (tptp.aa_int_int (tptp.divide_divide_int A) C) (tptp.aa_int_int (tptp.divide_divide_int B) C)) (= A B))))))
% 18.93/19.17  (assume a3756 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (= (= (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 B) C)) (= A B))))))
% 18.93/19.17  (assume a3757 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) 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) B)) (= A B))))))
% 18.93/19.17  (assume a3758 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.divide_divide_int A) C) (tptp.aa_int_int (tptp.divide_divide_int B) 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) B)) (= A B))))))
% 18.93/19.17  (assume a3759 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B)) (= A B))))))
% 18.93/19.17  (assume a3760 (forall ((D tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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 B) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 18.93/19.17  (assume a3761 (forall ((D tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) D)) (tptp.aa_int_int (tptp.divide_divide_int B) D)) (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 18.93/19.17  (assume a3762 (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))))
% 18.93/19.17  (assume a3763 (forall ((A tptp.nat)) (= (not (= A tptp.zero_zero_nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.zero_zero_nat)) (not (= A tptp.zero_zero_nat))))))
% 18.93/19.17  (assume a3764 (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))))
% 18.93/19.17  (assume a3765 (forall ((A tptp.nat)) (not (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A)) (not (= tptp.zero_zero_nat A))))))
% 18.93/19.17  (assume a3766 (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))))
% 18.93/19.17  (assume a3767 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A))))))
% 18.93/19.17  (assume a3768 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A))))))
% 18.93/19.17  (assume a3769 (forall ((C tptp.nat) (A tptp.nat) (B 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) B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A))))))
% 18.93/19.17  (assume a3770 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A))))))
% 18.93/19.17  (assume a3771 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 18.93/19.17  (assume a3772 (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)))))
% 18.93/19.17  (assume a3773 (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)))))
% 18.93/19.17  (assume a3774 (forall ((N tptp.num)) (= (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat N) (tptp.numera1916890842035813515d_enat N)))))
% 18.93/19.17  (assume a3775 (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)))))
% 18.93/19.17  (assume a3776 (forall ((N tptp.num)) (= (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger N)))))
% 18.93/19.17  (assume a3777 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_set_vebt T) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T)))))
% 18.93/19.17  (assume a3778 (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.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))))))
% 18.93/19.17  (assume a3779 (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))))
% 18.93/19.17  (assume a3780 (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))))
% 18.93/19.17  (assume a3781 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (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 X) 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 X) S)))))))))
% 18.93/19.17  (assume a3782 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S)))))))))
% 18.93/19.17  (assume a3783 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (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 X) 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 X) S)))))))))
% 18.93/19.17  (assume a3784 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (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 X) 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 X) S)))))))))
% 18.93/19.17  (assume a3785 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3786 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S))))))))))
% 18.93/19.17  (assume a3787 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3788 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3789 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (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.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) 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 X) S)))))))))
% 18.93/19.17  (assume a3790 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (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.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S)))))))))
% 18.93/19.17  (assume a3791 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) 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 X) 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 X) S)))))))))
% 18.93/19.17  (assume a3792 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) 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 X) 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 X) S)))))))))
% 18.93/19.17  (assume a3793 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) 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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3794 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat X) S))))))))))
% 18.93/19.17  (assume a3795 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) 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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3796 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) 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 X) 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 X) S))))))))))
% 18.93/19.17  (assume a3797 (forall ((B tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex B) A)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) tptp.zero_zero_complex) (= A tptp.zero_zero_complex)))))
% 18.93/19.17  (assume a3798 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B) tptp.zero_zero_rat) (= A tptp.zero_zero_rat)))))
% 18.93/19.17  (assume a3799 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a3800 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (= (tptp.aa_int_int (tptp.divide_divide_int A) B) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 18.93/19.17  (assume a3801 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B) tptp.zero_zero_real) (= A tptp.zero_zero_real)))))
% 18.93/19.17  (assume a3802 (forall ((A tptp.nat) (B 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) B)) 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 B) tptp.one_one_nat))))))
% 18.93/19.17  (assume a3803 (forall ((A tptp.int) (B 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) B)) 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 B) tptp.one_one_int))))))
% 18.93/19.17  (assume a3804 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3805 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3806 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3807 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3808 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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 B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3809 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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 B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3810 (forall ((A tptp.nat) (B 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) B)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C))))))
% 18.93/19.17  (assume a3811 (forall ((A tptp.int) (B 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) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) C))))))
% 18.93/19.17  (assume a3812 (forall ((A tptp.nat) (B 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) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (= B C)))))
% 18.93/19.17  (assume a3813 (forall ((A tptp.int) (B 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) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (= B C)))))
% 18.93/19.17  (assume a3814 (forall ((A tptp.nat) (B 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 B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (= B C)))))
% 18.93/19.17  (assume a3815 (forall ((A tptp.int) (B 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 B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (= B C)))))
% 18.93/19.17  (assume a3816 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (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 B) 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 B) A)) C)))))
% 18.93/19.17  (assume a3817 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int B) C)) A) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A)) C)))))
% 18.93/19.17  (assume a3818 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (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 B) 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) B)) C)))))
% 18.93/19.17  (assume a3819 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.divide_divide_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C)))))
% 18.93/19.17  (assume a3820 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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 B) 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) B)) C))))))
% 18.93/19.17  (assume a3821 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int (tptp.divide_divide_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C))))))
% 18.93/19.17  (assume a3822 (forall ((B 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 B) 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 B) 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) B)) C)))))
% 18.93/19.17  (assume a3823 (forall ((B 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 B) C)) A)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C)))))
% 18.93/19.17  (assume a3824 (forall ((A tptp.nat) (C tptp.nat) (B 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)) B)) (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 B) C))))))
% 18.93/19.17  (assume a3825 (forall ((A tptp.int) (C tptp.int) (B 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)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.divide_divide_int B) C))))))
% 18.93/19.17  (assume a3826 (forall ((B 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 B) 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) B)) (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 B) D)))))))
% 18.93/19.17  (assume a3827 (forall ((B 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 B) 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.divide_divide_int A) B)) (tptp.aa_int_int (tptp.divide_divide_int C) D)) (tptp.aa_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 B) D)))))))
% 18.93/19.17  (assume a3828 (forall ((A tptp.nat) (B 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 B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) A)) (= B C)))))
% 18.93/19.17  (assume a3829 (forall ((A tptp.int) (B 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.divide_divide_int B) A) (tptp.aa_int_int (tptp.divide_divide_int C) A)) (= B C)))))
% 18.93/19.17  (assume a3830 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3831 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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.divide_divide_int A) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3832 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a3833 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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.divide_divide_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 18.93/19.17  (assume a3834 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (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) B)) 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 B) C))))))
% 18.93/19.17  (assume a3835 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.divide_divide_int B) C))))))
% 18.93/19.17  (assume a3836 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) 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 B) C))))))
% 18.93/19.17  (assume a3837 (forall ((C tptp.int) (A tptp.int) (B 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.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.divide_divide_int B) C))))))
% 18.93/19.17  (assume a3838 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))
% 18.93/19.17  (assume a3839 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)))))
% 18.93/19.17  (assume a3840 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) A) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3841 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int B) A) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3842 (forall ((A tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))
% 18.93/19.17  (assume a3843 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)))))
% 18.93/19.17  (assume a3844 (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))))))
% 18.93/19.17  (assume a3845 (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.power_power_real A) M)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 18.93/19.17  (assume a3846 (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))))))
% 18.93/19.17  (assume a3847 (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.aa_com1553036987509291606x_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))))))
% 18.93/19.17  (assume a3848 (forall ((A tptp.nat) (N tptp.nat) (B 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)) B)) (=> (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)) B))))))
% 18.93/19.17  (assume a3849 (forall ((A tptp.real) (N tptp.nat) (B tptp.real) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real A) N)) B)) (=> (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.power_power_real A) M)) B))))))
% 18.93/19.17  (assume a3850 (forall ((A tptp.int) (N tptp.nat) (B 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)) B)) (=> (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)) B))))))
% 18.93/19.17  (assume a3851 (forall ((A tptp.complex) (N tptp.nat) (B tptp.complex) (M tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) B)) (=> (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.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) B))))))
% 18.93/19.17  (assume a3852 (forall ((X2 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 X2) 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 X2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) M)))))))
% 18.93/19.17  (assume a3853 (forall ((X2 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 X2) 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.power_power_real X2) N)) (tptp.aa_nat_real (tptp.power_power_real Y) M)))))))
% 18.93/19.17  (assume a3854 (forall ((X2 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 X2) 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 X2) N)) (tptp.aa_nat_int (tptp.power_power_int Y) M)))))))
% 18.93/19.17  (assume a3855 (forall ((X2 tptp.complex) (Y tptp.complex) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X2) 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.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) M)))))))
% 18.93/19.17  (assume a3856 (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.modulo_modulo_int K) L))))))
% 18.93/19.17  (assume a3857 (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.modulo_modulo_int K) L)) L)))))
% 18.93/19.17  (assume a3858 (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))))))
% 18.93/19.17  (assume a3859 (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)))))))
% 18.93/19.17  (assume a3860 (forall ((M tptp.int) (N 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.zero_zero_int) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int N) M)) (= M N)))))))
% 18.93/19.17  (assume a3861 (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)))))))
% 18.93/19.17  (assume a3862 (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))))))
% 18.93/19.17  (assume a3863 (forall ((D tptp.nat) (A tptp.nat) (B tptp.nat) (X2 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) B)) (=> (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X2) (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 B) Y)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X2) (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 ((X4 tptp.nat) (Y2 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) B))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X4) (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) B)) Y2)) 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) B)) X4) (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) Y2)) D))))))))))
% 18.93/19.17  (assume a3864 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D4 tptp.nat) (X4 tptp.nat) (Y2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) B)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X4) (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 B) Y2)) D4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X4) (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) Y2)) D4)))))))
% 18.93/19.17  (assume a3865 (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)))))
% 18.93/19.17  (assume a3866 (forall ((A tptp.int) (D tptp.int) (X2 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 X2) 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 X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D))) T)))))))
% 18.93/19.17  (assume a3867 (forall ((A2 tptp.set_complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.finite8712137658972009173omplex (tptp.collect_list_complex (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ck A2) N))))))
% 18.93/19.17  (assume a3868 (forall ((A2 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_cl A2) N))))))
% 18.93/19.17  (assume a3869 (forall ((A2 tptp.set_bool) (N tptp.nat)) (=> (tptp.finite_finite_bool A2) (tptp.finite7866827932528546246t_bool (tptp.collect_list_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_cm A2) N))))))
% 18.93/19.17  (assume a3870 (forall ((A2 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_cn A2) N))))))
% 18.93/19.17  (assume a3871 (forall ((A2 tptp.set_int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.finite3922522038869484883st_int (tptp.collect_list_int (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_co A2) N))))))
% 18.93/19.17  (assume a3872 (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))))))
% 18.93/19.17  (assume a3873 (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))))))
% 18.93/19.17  (assume a3874 (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_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))))))
% 18.93/19.17  (assume a3875 (forall ((Va 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 Va)))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_VEB5832953974749077948T_VEBT (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))))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_VEB5832953974749077948T_VEBT (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)))))))))))
% 18.93/19.17  (assume a3876 (forall ((A2 tptp.set_complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.finite8712137658972009173omplex (tptp.collect_list_complex (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_cp A2) N))))))
% 18.93/19.17  (assume a3877 (forall ((A2 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_cq A2) N))))))
% 18.93/19.17  (assume a3878 (forall ((A2 tptp.set_bool) (N tptp.nat)) (=> (tptp.finite_finite_bool A2) (tptp.finite7866827932528546246t_bool (tptp.collect_list_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_cr A2) N))))))
% 18.93/19.17  (assume a3879 (forall ((A2 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_cs A2) N))))))
% 18.93/19.17  (assume a3880 (forall ((A2 tptp.set_int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.finite3922522038869484883st_int (tptp.collect_list_int (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_ct A2) N))))))
% 18.93/19.17  (assume a3881 (forall ((A tptp.nat) (B 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 (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C3)))))))))
% 18.93/19.17  (assume a3882 (forall ((A tptp.int) (B 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 (= B (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C3)))))))))
% 18.93/19.17  (assume a3883 (forall ((P tptp.fun_complex_bool) (L tptp.complex)) (= (exists ((X3 tptp.complex)) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_complex_complex (tptp.times_times_complex L) X3)))) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex L) (tptp.aa_complex_complex (tptp.plus_plus_complex X3) tptp.zero_zero_complex))) (tptp.pp (tptp.aa_complex_bool P X3)))))))
% 18.93/19.17  (assume a3884 (forall ((P tptp.fun_real_bool) (L tptp.real)) (= (exists ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real L) X3)))) (exists ((X3 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 X3) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool P X3)))))))
% 18.93/19.17  (assume a3885 (forall ((P tptp.fun_rat_bool) (L tptp.rat)) (= (exists ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.times_times_rat L) X3)))) (exists ((X3 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.plus_plus_rat X3) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool P X3)))))))
% 18.93/19.17  (assume a3886 (forall ((P tptp.fun_nat_bool) (L tptp.nat)) (= (exists ((X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat L) X3)))) (exists ((X3 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 X3) tptp.zero_zero_nat))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 18.93/19.17  (assume a3887 (forall ((P tptp.fun_int_bool) (L tptp.int)) (= (exists ((X3 tptp.int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) X3)))) (exists ((X3 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 X3) tptp.zero_zero_int))) (tptp.pp (tptp.aa_int_bool P X3)))))))
% 18.93/19.17  (assume a3888 (forall ((A tptp.nat) (C tptp.nat) (B 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) B)) (=> (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 B) 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 B) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) D)))))))))
% 18.93/19.17  (assume a3889 (forall ((A tptp.int) (C tptp.int) (B 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) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) D)) (= (= (tptp.aa_int_int (tptp.divide_divide_int B) A) (tptp.aa_int_int (tptp.divide_divide_int D) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)))))))))
% 18.93/19.17  (assume a3890 (forall ((C tptp.nat) (B 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) B)) (= (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 B) 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)) B)))))))
% 18.93/19.17  (assume a3891 (forall ((C tptp.int) (B 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) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.divide_divide_int B) 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)) B)))))))
% 18.93/19.17  (assume a3892 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B)) 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) B))))))))
% 18.93/19.17  (assume a3893 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) 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) B))))))))
% 18.93/19.17  (assume a3894 (forall ((A tptp.nat) (B 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) B)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) A) C) (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))))))
% 18.93/19.17  (assume a3895 (forall ((A tptp.int) (B 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) B)) (= (= (tptp.aa_int_int (tptp.divide_divide_int B) A) C) (= B (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))))))
% 18.93/19.17  (assume a3896 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a3897 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.divide_divide_int A) B) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 18.93/19.17  (assume a3898 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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 B) 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) B)) C))))))
% 18.93/19.17  (assume a3899 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) 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.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C))))))
% 18.93/19.17  (assume a3900 (forall ((C tptp.nat) (A tptp.nat) (B 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 B) 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) B)) C)))))
% 18.93/19.17  (assume a3901 (forall ((C tptp.int) (A tptp.int) (B 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.divide_divide_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C)))))
% 18.93/19.17  (assume a3902 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B)) 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)) B)))))
% 18.93/19.17  (assume a3903 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) B)))))
% 18.93/19.17  (assume a3904 (forall ((C tptp.nat) (B 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 B) 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 B) 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) B)) C))))))
% 18.93/19.17  (assume a3905 (forall ((C tptp.int) (B 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 B) A)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) C))))))
% 18.93/19.17  (assume a3906 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) tptp.one_one_nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) C)))))
% 18.93/19.17  (assume a3907 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (= A (tptp.aa_int_int (tptp.divide_divide_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) C)))))
% 18.93/19.17  (assume a3908 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) C) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B))))))
% 18.93/19.17  (assume a3909 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.divide_divide_int A) B) C) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))))))
% 18.93/19.17  (assume a3910 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) tptp.zero_zero_nat))))
% 18.93/19.17  (assume a3911 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3912 (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)))))
% 18.93/19.17  (assume a3913 (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)))))
% 18.93/19.17  (assume a3914 (forall ((I tptp.int) (K tptp.int)) (= (= (tptp.aa_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)))))))
% 18.93/19.17  (assume a3915 (forall ((B 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) B)) (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.modulo_modulo_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) B))))))
% 18.93/19.17  (assume a3916 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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.modulo_modulo_int A) B)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)))))))
% 18.93/19.17  (assume a3917 (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.modulo_modulo_int K) L)) tptp.zero_zero_int)))))
% 18.93/19.17  (assume a3918 (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.modulo_modulo_int K) L))))))
% 18.93/19.17  (assume a3919 (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))))))
% 18.93/19.17  (assume a3920 (forall ((A2 tptp.int) (B2 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A2) B2)) (=> (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.modulo_modulo_int A2) N) tptp.zero_zero_int) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int B2) 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.divide_divide_int A2) N)) (tptp.aa_int_int (tptp.divide_divide_int B2) N)))))))))
% 18.93/19.17  (assume a3921 (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))))))
% 18.93/19.17  (assume a3922 (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))))))
% 18.93/19.17  (assume a3923 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((D4 tptp.nat) (X4 tptp.nat) (Y2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X4) (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 B) Y2)) D4)))))))
% 18.93/19.17  (assume a3924 (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))))))
% 18.93/19.17  (assume a3925 (forall ((A2 tptp.int) (N tptp.int)) (= A2 (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.divide_divide_int A2) N)) N)) (tptp.aa_int_int (tptp.modulo_modulo_int A2) N)))))
% 18.93/19.17  (assume a3926 (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))))))
% 18.93/19.17  (assume a3927 (forall ((X2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X2) Y) (=> (=> (= X2 tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (=> (=> (= X2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (not (forall ((Va2 tptp.nat)) (=> (= X2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (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 Va2)))) (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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))))) (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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))))))))))))))))))
% 18.93/19.17  (assume a3928 (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)))
% 18.93/19.17  (assume a3929 (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)))
% 18.93/19.17  (assume a3930 (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)))
% 18.93/19.17  (assume a3931 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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 B) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B))))))
% 18.93/19.17  (assume a3932 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A)) (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) B))))))
% 18.93/19.17  (assume a3933 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B))))))
% 18.93/19.17  (assume a3934 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) B))))))
% 18.93/19.17  (assume a3935 (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 ((B3 tptp.nat)) (=> (not (= B3 tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B3) tptp.one_one_nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) A) B3) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B3) A) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B3) 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) B3))))))))))))))
% 18.93/19.17  (assume a3936 (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 ((B3 tptp.int)) (=> (not (= B3 tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B3) tptp.one_one_int)) (=> (= (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) A) B3) (=> (= (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) B3) A) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B3) tptp.one_one_int) (not (= (tptp.aa_int_int (tptp.divide_divide_int C) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B3))))))))))))))
% 18.93/19.17  (assume a3937 (forall ((A tptp.nat) (B 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))) B))) (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) B)))))))
% 18.93/19.17  (assume a3938 (forall ((A tptp.int) (B 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))) B))) (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) B)))))))
% 18.93/19.17  (assume a3939 (forall ((A tptp.code_integer) (B 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))) B))) (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 B)))))))
% 18.93/19.17  (assume a3940 (forall ((X2 tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (not (= X2 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 X2) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X2) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 18.93/19.17  (assume a3941 (forall ((X2 tptp.int) (M tptp.nat) (N tptp.nat)) (=> (not (= X2 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 X2) M)) (tptp.aa_nat_int (tptp.power_power_int X2) N))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) tptp.one_one_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 18.93/19.17  (assume a3942 (forall ((N tptp.nat) (X2 tptp.rat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X2 tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) (tptp.aa_nat_rat (tptp.power_power_rat X2) N))))))
% 18.93/19.17  (assume a3943 (forall ((N tptp.nat) (X2 tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X2 tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X2) N))))))
% 18.93/19.17  (assume a3944 (forall ((N tptp.nat) (X2 tptp.real)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X2 tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) (tptp.aa_nat_real (tptp.power_power_real X2) N))))))
% 18.93/19.17  (assume a3945 (forall ((N tptp.nat) (X2 tptp.int)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X2 tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) (tptp.aa_nat_int (tptp.power_power_int X2) N))))))
% 18.93/19.17  (assume a3946 (forall ((N tptp.nat) (X2 tptp.complex)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X2 tptp.one_one_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X2) (tptp.aa_nat_complex (tptp.power_power_complex X2) N))))))
% 18.93/19.17  (assume a3947 (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_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)))))
% 18.93/19.17  (assume a3948 (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.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 18.93/19.17  (assume a3949 (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)))))
% 18.93/19.17  (assume a3950 (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)))))
% 18.93/19.17  (assume a3951 (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))))))
% 18.93/19.17  (assume a3952 (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))))
% 18.93/19.17  (assume a3953 (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))))
% 18.93/19.17  (assume a3954 (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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 18.93/19.17  (assume a3955 (forall ((N tptp.nat) (A tptp.real) (B 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) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 18.93/19.17  (assume a3956 (forall ((N tptp.nat) (A tptp.rat) (B 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) B)) (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 B) N)))))))
% 18.93/19.17  (assume a3957 (forall ((N tptp.nat) (A tptp.int) (B 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) B)) (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 B) N)))))))
% 18.93/19.17  (assume a3958 (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)))))
% 18.93/19.17  (assume a3959 (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_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))))))
% 18.93/19.17  (assume a3960 (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_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)))))
% 18.93/19.17  (assume a3961 (forall ((P tptp.fun_int_bool) (N tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_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 ((I5 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) I5)) 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 ((I5 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) I5)) J3))) (tptp.pp (tptp.aa_int_bool P J3)))))))))
% 18.93/19.17  (assume a3962 (forall ((A tptp.int) (B 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 B) 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 B) R2)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) R2))))))
% 18.93/19.17  (assume a3963 (forall ((A tptp.int) (B 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 B) 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) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) R2))))))
% 18.93/19.17  (assume a3964 (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))))))
% 18.93/19.17  (assume a3965 (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)))))
% 18.93/19.17  (assume a3966 (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)))))
% 18.93/19.17  (assume a3967 (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)))))
% 18.93/19.17  (assume a3968 (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))))))
% 18.93/19.17  (assume a3969 (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))))))
% 18.93/19.17  (assume a3970 (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))))))
% 18.93/19.17  (assume a3971 (= (tptp.aa_num_nat tptp.size_num tptp.one) tptp.zero_zero_nat))
% 18.93/19.17  (assume a3972 (forall ((Uy tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy (tptp.aa_nat_nat tptp.suc V) TreeList) S)) X2)) (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 X2) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) (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 X2) (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 X2) (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)))))))
% 18.93/19.17  (assume a3973 (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 ((B3 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))) B3)) tptp.one_one_nat))))))))
% 18.93/19.17  (assume a3974 (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 ((B3 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))) B3)) tptp.one_one_int))))))))
% 18.93/19.17  (assume a3975 (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 ((B3 tptp.code_integer)) (not (= A (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B3) tptp.one_one_Code_integer))))))))
% 18.93/19.17  (assume a3976 (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)))))))
% 18.93/19.17  (assume a3977 (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)))))))
% 18.93/19.17  (assume a3978 (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.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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))))
% 18.93/19.17  (assume a3979 (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)))))
% 18.93/19.17  (assume a3980 (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)))))
% 18.93/19.17  (assume a3981 (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.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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))
% 18.93/19.17  (assume a3982 (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.power_power_real A) N))))))
% 18.93/19.17  (assume a3983 (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))))))
% 18.93/19.17  (assume a3984 (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))))))
% 18.93/19.17  (assume a3985 (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.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))))))
% 18.93/19.17  (assume a3986 (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))))))
% 18.93/19.17  (assume a3987 (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))))))
% 18.93/19.17  (assume a3988 (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.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)))))))
% 18.93/19.17  (assume a3989 (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)))))))
% 18.93/19.17  (assume a3990 (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)))))))
% 18.93/19.17  (assume a3991 (forall ((A2 tptp.int) (B2 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A2) B2)) (=> (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.divide_divide_int A2) 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.modulo_modulo_int B2) N)) tptp.zero_zero_int) tptp.one_one_int) tptp.zero_zero_int))) (tptp.aa_int_int (tptp.divide_divide_int B2) N)))))))
% 18.93/19.17  (assume a3992 (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.divide_divide_int N) K)) (tptp.aa_int_int (tptp.modulo_modulo_int N) K))) (forall ((I5 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) I5)) J3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I5) J3))))))))
% 18.93/19.17  (assume a3993 (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.divide_divide_int N) K)) (tptp.aa_int_int (tptp.modulo_modulo_int N) K))) (forall ((I5 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) I5)) J3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I5) J3))))))))
% 18.93/19.17  (assume a3994 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList) Vd2)) X2)) (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 X2) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) (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 X2) (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 X2) (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)))))))
% 18.93/19.17  (assume a3995 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.aa_VEB5832953974749077948T_VEBT (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 Va)) TreeList) Summary)) X2)) (=> (not (= X2 Mi)) (=> (not (= X2 Ma)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Mi))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X2))) (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 X2) (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 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) (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 X2) (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 X2) (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 TreeList)))))))))))))
% 18.93/19.17  (assume a3996 (forall ((Mi tptp.nat) (Ma tptp.nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.aa_VEB5832953974749077948T_VEBT (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)) X2)) (or (= X2 Mi) (= X2 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 X2) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) (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 X2) (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 X2) (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))))))))
% 18.93/19.17  (assume a3997 (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.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)))))))
% 18.93/19.17  (assume a3998 (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)))))))
% 18.93/19.17  (assume a3999 (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)))))))
% 18.93/19.17  (assume a4000 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (= (tptp.pp Y) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (=> (=> (exists ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2))) (tptp.pp Y)) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 18.93/19.17  (assume a4001 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 18.93/19.17  (assume a4002 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))) (=> (forall ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 18.93/19.17  (assume a4003 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 (= Xa2 Mi2) (= Xa2 Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2))) (not (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd))) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))
% 18.93/19.17  (assume a4004 (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.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)))))))
% 18.93/19.17  (assume a4005 (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)))))))
% 18.93/19.17  (assume a4006 (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)))))))
% 18.93/19.17  (assume a4007 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2))) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))))))))))
% 18.93/19.17  (assume a4008 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2))) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (not (= X2 (tptp.vEBT_Leaf Uu2 Uv2)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 (= Xa2 Mi2) (= Xa2 Ma2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2))) (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd))) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 18.93/19.17  (assume a4009 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X2 (tptp.vEBT_Leaf Uu2 Uv2))) (tptp.pp Y)) (=> (=> (exists ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2))) (tptp.pp Y)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2))) (= (tptp.pp Y) (not (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd))) (= (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 18.93/19.17  (assume a4010 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X2 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.aa_VEB5832953974749077948T_VEBT (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 Va)) TreeList) Summary) X2) (tptp.aa_VEB5832953974749077948T_VEBT (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 X2) Mi)) Mi) X2)) (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 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 X2) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X2) Ma)))) (tptp.aa_VEB5832953974749077948T_VEBT (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 X2) Mi)) X2) 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 X2) Mi)) Mi) X2)) Ma))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (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 X2) Mi)) Mi) X2)) (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 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 X2) Mi)) Mi) X2)) (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 X2) Mi)) Mi) X2)) (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_VEB5832953974749077948T_VEBT (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 X2) Mi)) Mi) X2)) (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 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 X2) Mi)) Mi) X2)) (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)))))) Summary))) (tptp.aa_VEB5832953974749077948T_VEBT (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 Va)) TreeList) Summary)))))
% 18.93/19.17  (assume a4011 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2) Vc2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2))) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))))))))))))
% 18.93/19.17  (assume a4012 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (= (tptp.pp Y) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (=> (=> (exists ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2))) (tptp.pp Y)) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2))) (tptp.pp Y)) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2) Vc2))) (tptp.pp Y)) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2))) (= (tptp.pp Y) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))))))))))))))
% 18.93/19.17  (assume a4013 (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.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_cu N) C)))))))
% 18.93/19.17  (assume a4014 (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) N)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aTP_Lamm_cv N)))))))
% 18.93/19.17  (assume a4015 (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) N)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw N)))))))
% 18.93/19.17  (assume a4016 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X2 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A3 tptp.fTrue))) (=> (not (= Xa2 tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A3 B3)))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3)) (=> (= Y (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2) S3) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2) S3)) (=> (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2) S3) Xa2)))))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2)) (=> (= Y (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) Xa2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2) Summary2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2)) (=> (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Ma2)))) (tptp.aa_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Xa2) 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 Xa2) Mi2)) Mi2) Xa2)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) Mi2) Xa2)) (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 Xa2) Mi2)) Mi2) Xa2)) (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_VEB5832953974749077948T_VEBT (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 Xa2) Mi2)) Mi2) Xa2)) (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 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 Xa2) Mi2)) Mi2) Xa2)) (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)))))) Summary2))) (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) Xa2)))))))))))))))
% 18.93/19.17  (assume a4017 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VE5569070535936029429omplex) (Y tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_cx I6) X2)))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_cx I6) Y)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aa_fun4024526296178165685T_bool (tptp.aTP_Lamm_cy I6) X2) Y))))))))
% 18.93/19.17  (assume a4018 (forall ((I6 tptp.set_real) (X2 tptp.fun_real_complex) (Y tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_cz I6) X2)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_cz I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aa_fun5520078544946397361l_bool (tptp.aTP_Lamm_da I6) X2) Y))))))))
% 18.93/19.17  (assume a4019 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_complex) (Y tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_db I6) X2)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_db I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aa_fun5430245816583273541t_bool (tptp.aTP_Lamm_dc I6) X2) Y))))))))
% 18.93/19.17  (assume a4020 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_complex) (Y tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dd I6) X2)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dd I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aa_fun3850298374753145905t_bool (tptp.aTP_Lamm_de I6) X2) Y))))))))
% 18.93/19.17  (assume a4021 (forall ((I6 tptp.set_complex) (X2 tptp.fun_complex_complex) (Y tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_df I6) X2)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_df I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aa_fun6641798613628721963x_bool (tptp.aTP_Lamm_dg I6) X2) Y))))))))
% 18.93/19.17  (assume a4022 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VEBT_VEBT_real) (Y tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_dh I6) X2)))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_dh I6) Y)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aa_fun4082248197810269365T_bool (tptp.aTP_Lamm_di I6) X2) Y))))))))
% 18.93/19.17  (assume a4023 (forall ((I6 tptp.set_real) (X2 tptp.fun_real_real) (Y tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_dj I6) X2)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_dj I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_dk I6) X2) Y))))))))
% 18.93/19.17  (assume a4024 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_real) (Y tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_dl I6) X2)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_dl I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_dm I6) X2) Y))))))))
% 18.93/19.17  (assume a4025 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_real) (Y tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_dn I6) X2)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_dn I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_do I6) X2) Y))))))))
% 18.93/19.17  (assume a4026 (forall ((I6 tptp.set_complex) (X2 tptp.fun_complex_real) (Y tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_dp I6) X2)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_dp I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_dq I6) X2) Y))))))))
% 18.93/19.17  (assume a4027 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VE5569070535936029429omplex) (Y tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_dr I6) X2)))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_dr I6) Y)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun8092769222387074655T_bool (tptp.aa_fun4024526296178165685T_bool (tptp.aTP_Lamm_ds I6) X2) Y))))))))
% 18.93/19.17  (assume a4028 (forall ((I6 tptp.set_real) (X2 tptp.fun_real_complex) (Y tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_dt I6) X2)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_dt I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aa_fun5520078544946397361l_bool (tptp.aTP_Lamm_du I6) X2) Y))))))))
% 18.93/19.17  (assume a4029 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_complex) (Y tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_dv I6) X2)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_dv I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aa_fun5430245816583273541t_bool (tptp.aTP_Lamm_dw I6) X2) Y))))))))
% 18.93/19.17  (assume a4030 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_complex) (Y tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dx I6) X2)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dx I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aa_fun3850298374753145905t_bool (tptp.aTP_Lamm_dy I6) X2) Y))))))))
% 18.93/19.17  (assume a4031 (forall ((I6 tptp.set_complex) (X2 tptp.fun_complex_complex) (Y tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_dz I6) X2)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_dz I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aa_fun6641798613628721963x_bool (tptp.aTP_Lamm_ea I6) X2) Y))))))))
% 18.93/19.17  (assume a4032 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VEBT_VEBT_real) (Y tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_eb I6) X2)))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_eb I6) Y)))) (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT (tptp.collect_VEBT_VEBT (tptp.aa_fun5605965666826184925T_bool (tptp.aa_fun4082248197810269365T_bool (tptp.aTP_Lamm_ec I6) X2) Y))))))))
% 18.93/19.17  (assume a4033 (forall ((I6 tptp.set_real) (X2 tptp.fun_real_real) (Y tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ed I6) X2)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ed I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_ee I6) X2) Y))))))))
% 18.93/19.17  (assume a4034 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_real) (Y tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_ef I6) X2)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_ef I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_eg I6) X2) Y))))))))
% 18.93/19.17  (assume a4035 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_real) (Y tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_eh I6) X2)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_eh I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_ei I6) X2) Y))))))))
% 18.93/19.17  (assume a4036 (forall ((I6 tptp.set_complex) (X2 tptp.fun_complex_real) (Y tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ej I6) X2)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ej I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_ek I6) X2) Y))))))))
% 18.93/19.17  (assume a4037 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2) Xa2))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2) Xa2))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2) Vc2) Xa2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) Xa2)) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))))))))))))))
% 18.93/19.17  (assume a4038 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (= (tptp.pp Y) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2) Uw2) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy2) Uz2) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2) Vc2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2)) (=> (= (tptp.pp Y) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) Xa2)))))))))))))))
% 18.93/19.17  (assume a4039 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member X2) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (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 Va2)) TreeList2) Summary2) Xa2)) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (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 Xa2) (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 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (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 Xa2) (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 Xa2) (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 TreeList2))))))))))))))))))))
% 18.93/19.17  (assume a4040 (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)))))
% 18.93/19.17  (assume a4041 (forall ((A tptp.nat) (B tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (not (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (not (= B A)))))))
% 18.93/19.17  (assume a4042 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) A))))
% 18.93/19.17  (assume a4043 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 18.93/19.17  (assume a4044 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A))))))
% 18.93/19.17  (assume a4045 (forall ((A tptp.nat)) (not (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) A)) (not (= A A))))))
% 18.93/19.17  (assume a4046 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (= A B)))))
% 18.93/19.17  (assume a4047 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)) (not (= B C))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (not (= A C)))))))
% 18.93/19.17  (assume a4048 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)) (not (= B C))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (not (= A C)))))))
% 18.93/19.17  (assume a4049 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) C)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (not (= A C)))))))
% 18.93/19.17  (assume a4050 (forall ((A tptp.nat) (B tptp.nat)) (= (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)))))))
% 18.93/19.17  (assume a4051 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (= A B)))))
% 18.93/19.17  (assume a4052 (forall ((A tptp.nat) (B tptp.nat)) (= (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))))))
% 18.93/19.17  (assume a4053 (forall ((A tptp.nat) (B tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 18.93/19.17  (assume a4054 (forall ((A tptp.nat) (B tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B))) (not (= A B)))))
% 18.93/19.17  (assume a4055 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (not (= A B)))))))
% 18.93/19.17  (assume a4056 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (= (tptp.pp Y) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2) Xa2)))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3) Xa2)))))))))))))
% 18.93/19.17  (assume a4057 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3) Xa2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 18.93/19.17  (assume a4058 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member X2) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (=> (forall ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2) Uw2) Xa2))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2) S3) Xa2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 18.93/19.17  (assume a4059 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf Uu2 Uv2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Xa2)))))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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 (= Xa2 Mi2) (= Xa2 Ma2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3) Vb2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2)) (=> (= (tptp.pp Y) (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2) Xa2)))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd)) (=> (= (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd) Xa2)))))))))))))))
% 18.93/19.17  (assume a4060 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf Uu2 Uv2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Xa2))))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2) Uy2) Xa2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3) Vb2) Xa2)) (or (= Xa2 Mi2) (= Xa2 Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2) Xa2)) (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd) Xa2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 18.93/19.17  (assume a4061 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima X2) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (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.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3) Vb2) Xa2)) (not (or (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vc2) Xa2)) (not (or (= Xa2 Mi2) (= Xa2 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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2) Vd) Xa2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (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 Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))))
% 18.93/19.17  (assume a4062 (= (tptp.aa_real_real tptp.arcosh_real tptp.one_one_real) tptp.zero_zero_real))
% 18.93/19.17  (assume a4063 (= (tptp.aa_real_real tptp.arsinh_real tptp.zero_zero_real) tptp.zero_zero_real))
% 18.93/19.17  (assume a4064 (= (tptp.aa_real_real tptp.artanh_real tptp.zero_zero_real) tptp.zero_zero_real))
% 18.93/19.17  (assume a4065 (forall ((X2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X2) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) X2)) (=> (=> (= X2 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))))) (=> (=> (= X2 (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 ((Va2 tptp.nat)) (=> (= X2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (=> (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)))) (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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))))) (= Y (tptp.aa_VEB5832953974749077948T_VEBT (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))))))))) (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 Va2)))))))))))))))
% 18.93/19.17  (assume a4066 (forall ((X2 tptp.fun_Pr2602117396471556196at_nat) (X22 tptp.product_prod_nat_nat)) (= (tptp.size_o8335143837870341156at_nat X2 (tptp.some_P7363390416028606310at_nat X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_Pro4243173770044397973at_nat X2 X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a4067 (forall ((X2 tptp.fun_num_nat) (X22 tptp.num)) (= (tptp.size_option_num X2 (tptp.some_num X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat X2 X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 18.93/19.17  (assume a4068 (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.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))))))))
% 18.93/19.17  (assume a4069 (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))))))))
% 18.93/19.17  (assume a4070 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 18.93/19.17  (assume a4071 (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.times_3573771949741848930nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_Code_integer (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.aa_nat_Code_integer (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.aa_nat_Code_integer (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))))))))))
% 18.93/19.17  (assume a4072 (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))))))))))
% 18.93/19.17  (assume a4073 (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.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.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))))))))))
% 18.93/19.17  (assume a4074 (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.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int N) K))))))
% 18.93/19.17  (assume a4075 (forall ((N tptp.nat)) (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.aa_nat_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)))))
% 18.93/19.17  (assume a4076 (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)))))
% 18.93/19.17  (assume a4077 (forall ((N tptp.nat)) (= (tptp.aa_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)))))
% 18.93/19.17  (assume a4078 (forall ((R tptp.set_nat) (S2 tptp.set_nat)) (= (tptp.ord_le8840051076831633728t_bool (tptp.aTP_Lamm_ad R) (tptp.aTP_Lamm_ad S2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat R) S2)))))
% 18.93/19.17  (assume a4079 (forall ((R tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT)) (= (tptp.ord_le7893757273149057542T_bool (tptp.aTP_Lamm_a R) (tptp.aTP_Lamm_a S2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT R) S2)))))
% 18.93/19.17  (assume a4080 (forall ((R tptp.set_set_nat) (S2 tptp.set_set_nat)) (= (tptp.ord_le1461730252015488778t_bool (tptp.aTP_Lamm_ac R) (tptp.aTP_Lamm_ac S2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat R) S2)))))
% 18.93/19.17  (assume a4081 (forall ((R tptp.set_real) (S2 tptp.set_real)) (= (tptp.ord_le5573776112191778788l_bool (tptp.aTP_Lamm_aa R) (tptp.aTP_Lamm_aa S2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real R) S2)))))
% 18.93/19.17  (assume a4082 (forall ((R tptp.set_int) (S2 tptp.set_int)) (= (tptp.ord_le5715760110363009508t_bool (tptp.aTP_Lamm_ae R) (tptp.aTP_Lamm_ae S2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int R) S2)))))
% 18.93/19.17  (assume a4083 (forall ((B tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) B)))
% 18.93/19.17  (assume a4084 (forall ((B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) B)))
% 18.93/19.17  (assume a4085 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) B)))
% 18.93/19.17  (assume a4086 (forall ((B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) B)))
% 18.93/19.17  (assume a4087 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (= A B))))
% 18.93/19.17  (assume a4088 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (= A B))))
% 18.93/19.17  (assume a4089 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= A B))))
% 18.93/19.17  (assume a4090 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= A B))))
% 18.93/19.17  (assume a4091 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)))
% 18.93/19.17  (assume a4092 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)))
% 18.93/19.17  (assume a4093 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)))
% 18.93/19.17  (assume a4094 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)))
% 18.93/19.17  (assume a4095 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) A) tptp.zero_zero_complex)))
% 18.93/19.17  (assume a4096 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 18.93/19.17  (assume a4097 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 18.93/19.17  (assume a4098 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) A) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a4099 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 18.93/19.17  (assume a4100 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.zero_zero_complex) A)))
% 18.93/19.17  (assume a4101 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 18.93/19.17  (assume a4102 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 18.93/19.17  (assume a4103 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.zero_zero_nat) A)))
% 18.93/19.17  (assume a4104 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 18.93/19.17  (assume a4105 (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)))
% 18.93/19.17  (assume a4106 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.zero_zero_complex) A)))
% 18.93/19.17  (assume a4107 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 18.93/19.17  (assume a4108 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 18.93/19.17  (assume a4109 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 18.93/19.17  (assume a4110 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) A) tptp.zero_zero_complex)))
% 18.93/19.17  (assume a4111 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 18.93/19.17  (assume a4112 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 18.93/19.17  (assume a4113 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 18.93/19.17  (assume a4114 (forall ((B 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 B)) (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) B)))))
% 18.93/19.17  (assume a4115 (forall ((B 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 B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)))))
% 18.93/19.17  (assume a4116 (forall ((B 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 B)) (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) B)))))
% 18.93/19.17  (assume a4117 (forall ((B 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 B)) (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) B)))))
% 18.93/19.17  (assume a4118 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) A) (= A tptp.zero_zero_int))))
% 18.93/19.17  (assume a4119 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) A) (= A tptp.zero_zero_real))))
% 18.93/19.17  (assume a4120 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) A) (= A tptp.zero_zero_rat))))
% 18.93/19.17  (assume a4121 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) (= A tptp.zero_z3403309356797280102nteger))))
% 18.93/19.17  (assume a4122 (forall ((A tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int A)) (= A tptp.zero_zero_int))))
% 18.93/19.17  (assume a4123 (forall ((A tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real A)) (= A tptp.zero_zero_real))))
% 18.93/19.17  (assume a4124 (forall ((A tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= A tptp.zero_zero_rat))))
% 18.93/19.17  (assume a4125 (forall ((A tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= A tptp.zero_z3403309356797280102nteger))))
% 18.93/19.17  (assume a4126 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 18.93/19.17  (assume a4127 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 18.93/19.17  (assume a4128 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 18.93/19.17  (assume a4129 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 18.93/19.17  (assume a4130 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 18.93/19.17  (assume a4131 (forall ((A tptp.complex)) (= (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (= tptp.zero_zero_complex A))))
% 18.93/19.17  (assume a4132 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (= tptp.zero_zero_int A))))
% 18.93/19.17  (assume a4133 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (= tptp.zero_zero_real A))))
% 18.93/19.17  (assume a4134 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= tptp.zero_zero_rat A))))
% 18.93/19.17  (assume a4135 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= tptp.zero_z3403309356797280102nteger A))))
% 18.93/19.17  (assume a4136 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 18.93/19.17  (assume a4137 (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int))
% 18.93/19.17  (assume a4138 (= (tptp.aa_real_real tptp.uminus_uminus_real tptp.zero_zero_real) tptp.zero_zero_real))
% 18.93/19.17  (assume a4139 (= (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 18.93/19.17  (assume a4140 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 18.93/19.17  (assume a4141 (forall ((B 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 B)) (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) B)))))
% 18.93/19.17  (assume a4142 (forall ((B 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 B)) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 18.93/19.17  (assume a4143 (forall ((B 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 B)) (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) B)))))
% 18.93/19.17  (assume a4144 (forall ((B 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 B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B)))))
% 18.93/19.17  (assume a4145 (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))))
% 18.93/19.17  (assume a4146 (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))))
% 18.93/19.17  (assume a4147 (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))))
% 18.93/19.17  (assume a4148 (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))))
% 18.93/19.17  (assume a4149 (forall ((A tptp.real) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4150 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) B) A)))
% 18.93/19.17  (assume a4151 (forall ((A tptp.int) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4152 (forall ((A tptp.real) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4153 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) B) A)))
% 18.93/19.17  (assume a4154 (forall ((A tptp.int) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4155 (forall ((C tptp.real) (A tptp.real) (B 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))))
% 18.93/19.17  (assume a4156 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))
% 18.93/19.17  (assume a4157 (forall ((C tptp.nat) (A tptp.nat) (B 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))
% 18.93/19.17  (assume a4158 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))
% 18.93/19.17  (assume a4159 (forall ((A tptp.real) (B 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) B)) A) B)))
% 18.93/19.17  (assume a4160 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) A) B)))
% 18.93/19.17  (assume a4161 (forall ((A tptp.nat) (B 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) B)) A) B)))
% 18.93/19.17  (assume a4162 (forall ((A tptp.int) (B 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) B)) A) B)))
% 18.93/19.17  (assume a4163 (forall ((A tptp.real) (C tptp.real) (B 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 B) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))))
% 18.93/19.17  (assume a4164 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))
% 18.93/19.17  (assume a4165 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))
% 18.93/19.17  (assume a4166 (forall ((A tptp.int) (C tptp.int) (B 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 B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))
% 18.93/19.17  (assume a4167 (forall ((A tptp.real) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4168 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) B) A)))
% 18.93/19.17  (assume a4169 (forall ((A tptp.nat) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4170 (forall ((A tptp.int) (B 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) B)) B) A)))
% 18.93/19.17  (assume a4171 (forall ((A tptp.int) (B 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 B)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)))))
% 18.93/19.17  (assume a4172 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)))))
% 18.93/19.17  (assume a4173 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)))))
% 18.93/19.17  (assume a4174 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.times_3573771949741848930nteger A B)))))
% 18.93/19.17  (assume a4175 (forall ((A tptp.int) (B 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 B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))))
% 18.93/19.17  (assume a4176 (forall ((A tptp.real) (B 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 B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B))))
% 18.93/19.17  (assume a4177 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.times_times_rat A) B))))
% 18.93/19.17  (assume a4178 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.times_3573771949741848930nteger A B))))
% 18.93/19.17  (assume a4179 (forall ((A tptp.int) (B 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)) B) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)))))
% 18.93/19.17  (assume a4180 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)))))
% 18.93/19.17  (assume a4181 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)))))
% 18.93/19.17  (assume a4182 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.times_3573771949741848930nteger A B)))))
% 18.93/19.17  (assume a4183 (forall ((A tptp.int) (B 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)) B)) B)))
% 18.93/19.17  (assume a4184 (forall ((A tptp.real) (B 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)) B)) B)))
% 18.93/19.17  (assume a4185 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)) B)))
% 18.93/19.17  (assume a4186 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B)) B)))
% 18.93/19.17  (assume a4187 (forall ((A tptp.int) (B 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) B)) B)))
% 18.93/19.17  (assume a4188 (forall ((A tptp.real) (B 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) B)) B)))
% 18.93/19.17  (assume a4189 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) B)))
% 18.93/19.17  (assume a4190 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.plus_p5714425477246183910nteger A B)) B)))
% 18.93/19.17  (assume a4191 (forall ((A tptp.int) (B 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) B)) (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 B)))))
% 18.93/19.17  (assume a4192 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (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 B)))))
% 18.93/19.17  (assume a4193 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 18.93/19.17  (assume a4194 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 18.93/19.17  (assume a4195 (forall ((A tptp.int) (B 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))
% 18.93/19.17  (assume a4196 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))))
% 18.93/19.17  (assume a4197 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat (tptp.minus_minus_rat B) A))))
% 18.93/19.17  (assume a4198 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.minus_8373710615458151222nteger A B)) (tptp.minus_8373710615458151222nteger B A))))
% 18.93/19.17  (assume a4199 (forall ((X2 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 X2)) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) Y)))))
% 18.93/19.17  (assume a4200 (forall ((X2 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 X2)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) Y)))))
% 18.93/19.17  (assume a4201 (forall ((X2 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 X2)) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) Y)))))
% 18.93/19.17  (assume a4202 (forall ((X2 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 X2)) Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X2) Y)))))
% 18.93/19.17  (assume a4203 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) (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 X2) Y)))))
% 18.93/19.17  (assume a4204 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) (tptp.aa_real_real tptp.uminus_uminus_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) Y)))))
% 18.93/19.17  (assume a4205 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) (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 X2) Y)))))
% 18.93/19.17  (assume a4206 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X2) Y)))))
% 18.93/19.17  (assume a4207 (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))))
% 18.93/19.17  (assume a4208 (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))))
% 18.93/19.17  (assume a4209 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) M) tptp.zero_zero_nat)))
% 18.93/19.17  (assume a4210 (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)))
% 18.93/19.17  (assume a4211 (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))))
% 18.93/19.17  (assume a4212 (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)))))
% 18.93/19.17  (assume a4213 (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)))))
% 18.93/19.17  (assume a4214 (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)))))
% 18.93/19.17  (assume a4215 (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)))))
% 18.93/19.17  (assume a4216 (= (tptp.zero_n1201886186963655149omplex tptp.fFalse) tptp.zero_zero_complex))
% 18.93/19.17  (assume a4217 (= (tptp.zero_n3304061248610475627l_real tptp.fFalse) tptp.zero_zero_real))
% 18.93/19.17  (assume a4218 (= (tptp.zero_n2052037380579107095ol_rat tptp.fFalse) tptp.zero_zero_rat))
% 18.93/19.17  (assume a4219 (= (tptp.zero_n2687167440665602831ol_nat tptp.fFalse) tptp.zero_zero_nat))
% 18.93/19.17  (assume a4220 (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int tptp.fFalse) tptp.zero_zero_int))
% 18.93/19.17  (assume a4221 (forall ((P tptp.bool)) (= (= (tptp.zero_n1201886186963655149omplex P) tptp.zero_zero_complex) (not (tptp.pp P)))))
% 18.93/19.17  (assume a4222 (forall ((P tptp.bool)) (= (= (tptp.zero_n3304061248610475627l_real P) tptp.zero_zero_real) (not (tptp.pp P)))))
% 18.93/19.17  (assume a4223 (forall ((P tptp.bool)) (= (= (tptp.zero_n2052037380579107095ol_rat P) tptp.zero_zero_rat) (not (tptp.pp P)))))
% 18.93/19.17  (assume a4224 (forall ((P tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P) tptp.zero_zero_nat) (not (tptp.pp P)))))
% 18.93/19.17  (assume a4225 (forall ((P tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P) tptp.zero_zero_int) (not (tptp.pp P)))))
% 18.93/19.17  (assume a4226 (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)))))
% 18.93/19.17  (assume a4227 (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)))))
% 18.93/19.17  (assume a4228 (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)))))
% 18.93/19.17  (assume a4229 (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)))))
% 18.93/19.17  (assume a4230 (forall ((P tptp.bool)) (= (= (tptp.zero_n1201886186963655149omplex P) tptp.one_one_complex) (tptp.pp P))))
% 18.93/19.17  (assume a4231 (forall ((P tptp.bool)) (= (= (tptp.zero_n3304061248610475627l_real P) tptp.one_one_real) (tptp.pp P))))
% 18.93/19.17  (assume a4232 (forall ((P tptp.bool)) (= (= (tptp.zero_n2052037380579107095ol_rat P) tptp.one_one_rat) (tptp.pp P))))
% 18.93/19.17  (assume a4233 (forall ((P tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P) tptp.one_one_nat) (tptp.pp P))))
% 18.93/19.17  (assume a4234 (forall ((P tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P) tptp.one_one_int) (tptp.pp P))))
% 18.93/19.17  (assume a4235 (= (tptp.zero_n1201886186963655149omplex tptp.fTrue) tptp.one_one_complex))
% 18.93/19.17  (assume a4236 (= (tptp.zero_n3304061248610475627l_real tptp.fTrue) tptp.one_one_real))
% 18.93/19.17  (assume a4237 (= (tptp.zero_n2052037380579107095ol_rat tptp.fTrue) tptp.one_one_rat))
% 18.93/19.17  (assume a4238 (= (tptp.zero_n2687167440665602831ol_nat tptp.fTrue) tptp.one_one_nat))
% 18.93/19.17  (assume a4239 (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int tptp.fTrue) tptp.one_one_int))
% 18.93/19.17  (assume a4240 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.fdisj P) Q)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat Q)))))
% 18.93/19.17  (assume a4241 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fdisj P) Q)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q)))))
% 18.93/19.17  (assume a4242 (forall ((A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))
% 18.93/19.17  (assume a4243 (forall ((A tptp.rat) (B 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) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 18.93/19.17  (assume a4244 (forall ((A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 18.93/19.17  (assume a4245 (forall ((A tptp.real) (B 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) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))
% 18.93/19.17  (assume a4246 (forall ((A tptp.rat) (B 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) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)))))
% 18.93/19.17  (assume a4247 (forall ((A tptp.int) (B 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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)))))
% 18.93/19.17  (assume a4248 (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)))))
% 18.93/19.17  (assume a4249 (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)))))
% 18.93/19.17  (assume a4250 (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)))))
% 18.93/19.17  (assume a4251 (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)))))
% 18.93/19.17  (assume a4252 (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)))))
% 18.93/19.17  (assume a4253 (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)))))
% 18.93/19.17  (assume a4254 (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)))))
% 18.93/19.17  (assume a4255 (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)))))
% 18.93/19.17  (assume a4256 (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)))))
% 18.93/19.17  (assume a4257 (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)))))
% 18.93/19.17  (assume a4258 (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)))))
% 18.93/19.17  (assume a4259 (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)))))
% 18.93/19.17  (assume a4260 (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)))))
% 18.93/19.17  (assume a4261 (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)))))
% 18.93/19.17  (assume a4262 (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)))))
% 18.93/19.17  (assume a4263 (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)))))
% 18.93/19.17  (assume a4264 (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)))))
% 18.93/19.17  (assume a4265 (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)))))
% 18.93/19.17  (assume a4266 (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)))))
% 18.93/19.17  (assume a4267 (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)))))
% 18.93/19.17  (assume a4268 (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)))))
% 18.93/19.17  (assume a4269 (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)))))
% 18.93/19.17  (assume a4270 (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)))))
% 18.93/19.17  (assume a4271 (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)))))
% 18.93/19.17  (assume a4272 (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)))))
% 18.93/19.17  (assume a4273 (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)))))
% 18.93/19.17  (assume a4274 (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)))))
% 18.93/19.17  (assume a4275 (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)))))
% 18.93/19.17  (assume a4276 (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)))))
% 19.00/19.17  (assume a4277 (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)))))
% 19.00/19.17  (assume a4278 (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)))))
% 19.00/19.17  (assume a4279 (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)))))
% 19.00/19.17  (assume a4280 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) A))))
% 19.00/19.17  (assume a4281 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) A))))
% 19.00/19.17  (assume a4282 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) A))))
% 19.00/19.17  (assume a4283 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) A))))
% 19.00/19.17  (assume a4284 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B)) B) A))))
% 19.00/19.17  (assume a4285 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) B) A))))
% 19.00/19.17  (assume a4286 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) 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) B)) B) A))))
% 19.00/19.17  (assume a4287 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) 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) B)) B) A))))
% 19.00/19.17  (assume a4288 (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) tptp.one_one_complex) tptp.zero_zero_complex))
% 19.00/19.17  (assume a4289 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real))
% 19.00/19.17  (assume a4290 (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) tptp.one_one_rat) tptp.zero_zero_rat))
% 19.00/19.17  (assume a4291 (= (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))
% 19.00/19.17  (assume a4292 (forall ((A tptp.nat) (B 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) B)) tptp.zero_zero_nat)))
% 19.00/19.17  (assume a4293 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 19.00/19.17  (assume a4294 (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)))
% 19.00/19.17  (assume a4295 (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)))
% 19.00/19.17  (assume a4296 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 19.00/19.17  (assume a4297 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.17  (assume a4298 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) tptp.zero_zero_complex)))
% 19.00/19.17  (assume a4299 (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)))
% 19.00/19.17  (assume a4300 (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)))
% 19.00/19.17  (assume a4301 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)))
% 19.00/19.17  (assume a4302 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.17  (assume a4303 (forall ((V tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) B)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) C)))))
% 19.00/19.17  (assume a4304 (forall ((V tptp.num) (B 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 B) 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)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) C)))))
% 19.00/19.17  (assume a4305 (forall ((V tptp.num) (B 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 B) 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)) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) C)))))
% 19.00/19.17  (assume a4306 (forall ((V tptp.num) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) (tptp.minus_8373710615458151222nteger B C)) (tptp.minus_8373710615458151222nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) B) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V) C)))))
% 19.00/19.17  (assume a4307 (forall ((A tptp.rat) (B tptp.rat) (V tptp.num)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.times_times_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 19.00/19.17  (assume a4308 (forall ((A tptp.int) (B 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) B)) (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 B) (tptp.aa_num_int tptp.numeral_numeral_int V))))))
% 19.00/19.17  (assume a4309 (forall ((A tptp.real) (B 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) B)) (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 B) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 19.00/19.17  (assume a4310 (forall ((A tptp.code_integer) (B tptp.code_integer) (V tptp.num)) (= (tptp.times_3573771949741848930nteger (tptp.minus_8373710615458151222nteger A B) (tptp.numera6620942414471956472nteger V)) (tptp.minus_8373710615458151222nteger (tptp.times_3573771949741848930nteger A (tptp.numera6620942414471956472nteger V)) (tptp.times_3573771949741848930nteger B (tptp.numera6620942414471956472nteger V))))))
% 19.00/19.17  (assume a4311 (forall ((B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.zero_zero_complex) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))
% 19.00/19.17  (assume a4312 (forall ((B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.zero_zero_int) B) (tptp.aa_int_int tptp.uminus_uminus_int B))))
% 19.00/19.17  (assume a4313 (forall ((B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.zero_zero_real) B) (tptp.aa_real_real tptp.uminus_uminus_real B))))
% 19.00/19.17  (assume a4314 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.zero_zero_rat) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))
% 19.00/19.17  (assume a4315 (forall ((B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))
% 19.00/19.17  (assume a4316 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.zero_zero_complex) A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))
% 19.00/19.17  (assume a4317 (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))))
% 19.00/19.17  (assume a4318 (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))))
% 19.00/19.17  (assume a4319 (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))))
% 19.00/19.17  (assume a4320 (forall ((A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))
% 19.00/19.17  (assume a4321 (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))))))
% 19.00/19.17  (assume a4322 (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))))))
% 19.00/19.17  (assume a4323 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 19.00/19.17  (assume a4324 (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))))))
% 19.00/19.17  (assume a4325 (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))))
% 19.00/19.17  (assume a4326 (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))))
% 19.00/19.17  (assume a4327 (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))))
% 19.00/19.17  (assume a4328 (forall ((Z tptp.rat)) (= (tptp.aa_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))))
% 19.00/19.17  (assume a4329 (forall ((Z tptp.code_integer)) (= (tptp.times_3573771949741848930nteger Z (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Z))))
% 19.00/19.17  (assume a4330 (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))))
% 19.00/19.17  (assume a4331 (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))))
% 19.00/19.17  (assume a4332 (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))))
% 19.00/19.17  (assume a4333 (forall ((Z tptp.rat)) (= (tptp.aa_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))))
% 19.00/19.17  (assume a4334 (forall ((Z tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) Z) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Z))))
% 19.00/19.17  (assume a4335 (forall ((A tptp.int) (B 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)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))
% 19.00/19.17  (assume a4336 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))))
% 19.00/19.17  (assume a4337 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B) (tptp.aa_rat_rat (tptp.minus_minus_rat B) A))))
% 19.00/19.17  (assume a4338 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (tptp.minus_8373710615458151222nteger B A))))
% 19.00/19.17  (assume a4339 (forall ((A tptp.int) (B 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 B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))
% 19.00/19.17  (assume a4340 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B))))
% 19.00/19.17  (assume a4341 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.plus_plus_rat A) B))))
% 19.00/19.17  (assume a4342 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.plus_p5714425477246183910nteger A B))))
% 19.00/19.17  (assume a4343 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X2))))
% 19.00/19.17  (assume a4344 (forall ((X2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X2) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real X2))))
% 19.00/19.17  (assume a4345 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat X2) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat X2))))
% 19.00/19.17  (assume a4346 (forall ((C tptp.int) (A tptp.int) (B 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) B)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.divide_divide_int B) C)))))))
% 19.00/19.17  (assume a4347 (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))))
% 19.00/19.17  (assume a4348 (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))))
% 19.00/19.17  (assume a4349 (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))))
% 19.00/19.17  (assume a4350 (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))))
% 19.00/19.17  (assume a4351 (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)))))
% 19.00/19.17  (assume a4352 (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))))
% 19.00/19.17  (assume a4353 (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)))))
% 19.00/19.17  (assume a4354 (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)))))
% 19.00/19.17  (assume a4355 (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)))))
% 19.00/19.17  (assume a4356 (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)))))
% 19.00/19.17  (assume a4357 (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)))))
% 19.00/19.17  (assume a4358 (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)))))
% 19.00/19.17  (assume a4359 (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)))))
% 19.00/19.17  (assume a4360 (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)))))
% 19.00/19.17  (assume a4361 (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)))))
% 19.00/19.17  (assume a4362 (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)))))
% 19.00/19.17  (assume a4363 (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)))))
% 19.00/19.17  (assume a4364 (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)))))
% 19.00/19.17  (assume a4365 (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)))
% 19.00/19.17  (assume a4366 (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)))))))
% 19.00/19.17  (assume a4367 (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))))))
% 19.00/19.17  (assume a4368 (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))))))
% 19.00/19.17  (assume a4369 (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))))))
% 19.00/19.17  (assume a4370 (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))))))
% 19.00/19.17  (assume a4371 (= (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))
% 19.00/19.17  (assume a4372 (= (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))
% 19.00/19.17  (assume a4373 (= (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))
% 19.00/19.17  (assume a4374 (= (tptp.aa_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))
% 19.00/19.17  (assume a4375 (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))
% 19.00/19.17  (assume a4376 (= (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))
% 19.00/19.17  (assume a4377 (= (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))
% 19.00/19.17  (assume a4378 (= (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))
% 19.00/19.17  (assume a4379 (= (tptp.aa_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))
% 19.00/19.17  (assume a4380 (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 19.00/19.17  (assume a4381 (= (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))
% 19.00/19.17  (assume a4382 (= (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))
% 19.00/19.17  (assume a4383 (= (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))
% 19.00/19.17  (assume a4384 (= (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))
% 19.00/19.17  (assume a4385 (= (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))
% 19.00/19.17  (assume a4386 (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))))
% 19.00/19.17  (assume a4387 (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))))
% 19.00/19.17  (assume a4388 (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))))
% 19.00/19.17  (assume a4389 (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))))
% 19.00/19.17  (assume a4390 (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))))
% 19.00/19.17  (assume a4391 (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))))
% 19.00/19.17  (assume a4392 (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))))
% 19.00/19.17  (assume a4393 (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))))
% 19.00/19.17  (assume a4394 (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))))
% 19.00/19.17  (assume a4395 (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))))
% 19.00/19.17  (assume a4396 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 19.00/19.17  (assume a4397 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.17  (assume a4398 (forall ((U tptp.num) (V tptp.num)) (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_num_real tptp.numeral_numeral_real U))) (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.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))) (=> (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.aa_num_real tptp.numeral_numeral_real U))) (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.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U)))))))
% 19.00/19.17  (assume a4399 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)))))))
% 19.00/19.17  (assume a4400 (forall ((U tptp.num) (V tptp.num)) (and (=> (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 U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (=> (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.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)))))))
% 19.00/19.17  (assume a4401 (forall ((U tptp.num) (V 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 U))) (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.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (=> (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 U))) (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.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U)))))))
% 19.00/19.17  (assume a4402 (forall ((U tptp.num) (V tptp.num)) (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_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_real tptp.numeral_numeral_real V))) (=> (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.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V)))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U)))))))
% 19.00/19.17  (assume a4403 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.numera6620942414471956472nteger V))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)) (tptp.numera6620942414471956472nteger V))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)))))))
% 19.00/19.17  (assume a4404 (forall ((U tptp.num) (V tptp.num)) (and (=> (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 U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (=> (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.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)))))))
% 19.00/19.17  (assume a4405 (forall ((U tptp.num) (V 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 U))) (tptp.aa_num_int tptp.numeral_numeral_int V))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (=> (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 U))) (tptp.aa_num_int tptp.numeral_numeral_int V)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U)))))))
% 19.00/19.17  (assume a4406 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (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.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (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.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_num_real tptp.numeral_numeral_real U))))))
% 19.00/19.17  (assume a4407 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.numera6620942414471956472nteger U))))))
% 19.00/19.17  (assume a4408 (forall ((U tptp.num) (V tptp.num)) (and (=> (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 U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))) (=> (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 U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))))) (= (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_num_rat tptp.numeral_numeral_rat U))))))
% 19.00/19.17  (assume a4409 (forall ((U tptp.num) (V 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 U)) (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.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (=> (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 U)) (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.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_num_int tptp.numeral_numeral_int U))))))
% 19.00/19.17  (assume a4410 (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))))
% 19.00/19.17  (assume a4411 (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))))))
% 19.00/19.17  (assume a4412 (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))))))
% 19.00/19.17  (assume a4413 (forall ((V tptp.num) (W2 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 W2))) 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) W2)))) Y))))
% 19.00/19.17  (assume a4414 (forall ((V tptp.num) (W2 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 W2))) 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) W2)))) Y))))
% 19.00/19.17  (assume a4415 (forall ((V tptp.num) (W2 tptp.num) (Y tptp.rat)) (= (tptp.aa_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.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) Y)) (tptp.aa_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) W2)))) Y))))
% 19.00/19.17  (assume a4416 (forall ((V tptp.num) (W2 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 W2)) Y)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num V) W2))) Y))))
% 19.00/19.17  (assume a4417 (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)))))
% 19.00/19.17  (assume a4418 (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)))))
% 19.00/19.17  (assume a4419 (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)))))
% 19.00/19.17  (assume a4420 (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)))))
% 19.00/19.17  (assume a4421 (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))))))
% 19.00/19.17  (assume a4422 (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))))))
% 19.00/19.17  (assume a4423 (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))))))
% 19.00/19.17  (assume a4424 (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))))))
% 19.00/19.17  (assume a4425 (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)))))
% 19.00/19.17  (assume a4426 (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)))))
% 19.00/19.17  (assume a4427 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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)))))
% 19.00/19.17  (assume a4428 (forall ((M tptp.num) (N tptp.num)) (= (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)))))
% 19.00/19.17  (assume a4429 (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))))))
% 19.00/19.17  (assume a4430 (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))))))
% 19.00/19.17  (assume a4431 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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))))))
% 19.00/19.17  (assume a4432 (forall ((M tptp.num) (N tptp.num)) (= (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))))))
% 19.00/19.17  (assume a4433 (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))))))
% 19.00/19.17  (assume a4434 (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))))))
% 19.00/19.17  (assume a4435 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_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))))))
% 19.00/19.17  (assume a4436 (forall ((M tptp.num) (N tptp.num)) (= (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))))))
% 19.00/19.17  (assume a4437 (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)))))
% 19.00/19.17  (assume a4438 (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)))))
% 19.00/19.17  (assume a4439 (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)))))
% 19.00/19.17  (assume a4440 (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)))))
% 19.00/19.17  (assume a4441 (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)))))
% 19.00/19.17  (assume a4442 (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)))))
% 19.00/19.17  (assume a4443 (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)))))
% 19.00/19.17  (assume a4444 (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)))))
% 19.00/19.17  (assume a4445 (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)))))
% 19.00/19.17  (assume a4446 (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)))))
% 19.00/19.17  (assume a4447 (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)))))
% 19.00/19.17  (assume a4448 (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)))))
% 19.00/19.17  (assume a4449 (forall ((B tptp.real) (W2 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 B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)))) 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 W2)))) B)))))
% 19.00/19.17  (assume a4450 (forall ((B tptp.rat) (W2 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 B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) B)))))
% 19.00/19.17  (assume a4451 (forall ((A tptp.real) (B tptp.real) (W2 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 B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (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 W2))))))))
% 19.00/19.17  (assume a4452 (forall ((A tptp.rat) (B tptp.rat) (W2 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 B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))))))))
% 19.00/19.17  (assume a4453 (forall ((B tptp.complex) (W2 tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))) A) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))))) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.00/19.17  (assume a4454 (forall ((B tptp.real) (W2 tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2))) A) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) tptp.zero_zero_real)) (= B (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 W2))))) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.00/19.17  (assume a4455 (forall ((B tptp.rat) (W2 tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) A) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))))) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.00/19.17  (assume a4456 (forall ((A tptp.complex) (B tptp.complex) (W2 tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)))) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))) B)) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.00/19.17  (assume a4457 (forall ((A tptp.real) (B tptp.real) (W2 tptp.num)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) 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 W2))) B)) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.00/19.17  (assume a4458 (forall ((A tptp.rat) (B tptp.rat) (W2 tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) B)) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.00/19.17  (assume a4459 (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)))))
% 19.00/19.17  (assume a4460 (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)))))
% 19.00/19.17  (assume a4461 (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)))))
% 19.00/19.17  (assume a4462 (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)))))
% 19.00/19.17  (assume a4463 (forall ((B tptp.real) (W2 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 B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)))) 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 W2)))) B)))))
% 19.00/19.17  (assume a4464 (forall ((B tptp.rat) (W2 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 B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) B)))))
% 19.00/19.17  (assume a4465 (forall ((A tptp.real) (B tptp.real) (W2 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 B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (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 W2))))))))
% 19.00/19.17  (assume a4466 (forall ((A tptp.rat) (B tptp.rat) (W2 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 B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))))))))
% 19.00/19.17  (assume a4467 (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))))
% 19.00/19.17  (assume a4468 (= (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)))))
% 19.00/19.17  (assume a4469 (= (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)))))
% 19.00/19.17  (assume a4470 (= (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)))))
% 19.00/19.17  (assume a4471 (= (tptp.aa_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)))))
% 19.00/19.17  (assume a4472 (= (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)))))
% 19.00/19.17  (assume a4473 (= (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)))))
% 19.00/19.17  (assume a4474 (= (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)))))
% 19.00/19.17  (assume a4475 (= (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)))))
% 19.00/19.17  (assume a4476 (= (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)))))
% 19.00/19.17  (assume a4477 (= (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)))))
% 19.00/19.17  (assume a4478 (= (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))))
% 19.00/19.17  (assume a4479 (= (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))))
% 19.00/19.17  (assume a4480 (= (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))))
% 19.00/19.17  (assume a4481 (= (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))))
% 19.00/19.17  (assume a4482 (= (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))))
% 19.00/19.17  (assume a4483 (forall ((A tptp.int) (B 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) B))) (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) B))))))
% 19.00/19.17  (assume a4484 (forall ((A tptp.code_integer) (B 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 B))) (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 B))))))
% 19.00/19.17  (assume a4485 (forall ((B tptp.bool)) (= (tptp.divide6298287555418463151nteger (tptp.zero_n356916108424825756nteger B) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.17  (assume a4486 (forall ((B tptp.bool)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.zero_n2687167440665602831ol_nat B)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 19.00/19.17  (assume a4487 (forall ((B tptp.bool)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 19.00/19.17  (assume a4488 (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)))))
% 19.00/19.17  (assume a4489 (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)))))
% 19.00/19.17  (assume a4490 (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)))))
% 19.00/19.17  (assume a4491 (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)))))
% 19.00/19.17  (assume a4492 (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)))))
% 19.00/19.17  (assume a4493 (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))))))
% 19.00/19.17  (assume a4494 (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))))))
% 19.00/19.17  (assume a4495 (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))))))
% 19.00/19.17  (assume a4496 (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))))))
% 19.00/19.17  (assume a4497 (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))))))
% 19.00/19.17  (assume a4498 (= (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)))))
% 19.00/19.17  (assume a4499 (= (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)))))
% 19.00/19.17  (assume a4500 (= (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)))))
% 19.00/19.17  (assume a4501 (= (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)))))
% 19.00/19.17  (assume a4502 (= (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)))))
% 19.00/19.17  (assume a4503 (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))))
% 19.00/19.17  (assume a4504 (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)))))))
% 19.00/19.17  (assume a4505 (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)))))))
% 19.00/19.17  (assume a4506 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int tptp.zero_zero_nat) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.17  (assume a4507 (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))))
% 19.00/19.17  (assume a4508 (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))))
% 19.00/19.17  (assume a4509 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_Code_integer))) (= N tptp.zero_zero_nat))))
% 19.00/19.17  (assume a4510 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.aa_nat_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)))))
% 19.00/19.17  (assume a4511 (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)))))
% 19.00/19.17  (assume a4512 (forall ((N tptp.nat)) (= (tptp.aa_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)))))
% 19.00/19.17  (assume a4513 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.aa_nat_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)))))
% 19.00/19.17  (assume a4514 (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)))))
% 19.00/19.17  (assume a4515 (forall ((N tptp.nat)) (= (tptp.aa_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)))))
% 19.00/19.17  (assume a4516 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 19.00/19.17  (assume a4517 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 19.00/19.17  (assume a4518 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 19.00/19.17  (assume a4519 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 19.00/19.17  (assume a4520 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 19.00/19.17  (assume a4521 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 19.00/19.17  (assume a4522 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 19.00/19.17  (assume a4523 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 19.00/19.17  (assume a4524 (forall ((B2 tptp.int) (K tptp.int) (B tptp.int) (A tptp.int)) (=> (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) B)) (= (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.uminus_uminus_int K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 19.00/19.17  (assume a4525 (forall ((B2 tptp.real) (K tptp.real) (B tptp.real) (A tptp.real)) (=> (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) B)) (= (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.uminus_uminus_real K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))))))
% 19.00/19.17  (assume a4526 (forall ((B2 tptp.rat) (K tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= B2 (tptp.aa_rat_rat (tptp.plus_plus_rat K) B)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))))
% 19.00/19.17  (assume a4527 (forall ((B2 tptp.code_integer) (K tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (= B2 (tptp.plus_p5714425477246183910nteger K B)) (= (tptp.minus_8373710615458151222nteger A B2) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K) (tptp.minus_8373710615458151222nteger A B))))))
% 19.00/19.17  (assume a4528 (forall ((P3 tptp.bool) (Q2 tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P3) (tptp.zero_n2687167440665602831ol_nat Q2)) (= (tptp.pp P3) (tptp.pp Q2)))))
% 19.00/19.17  (assume a4529 (forall ((P3 tptp.bool) (Q2 tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P3) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q2)) (= (tptp.pp P3) (tptp.pp Q2)))))
% 19.00/19.17  (assume a4530 (forall ((A tptp.int) (B tptp.int)) (=> (= A B) (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 19.00/19.17  (assume a4531 (forall ((A tptp.real) (B tptp.real)) (=> (= A B) (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 19.00/19.17  (assume a4532 (forall ((A tptp.rat) (B tptp.rat)) (=> (= A B) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 19.00/19.17  (assume a4533 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= A B) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 19.00/19.17  (assume a4534 (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))))
% 19.00/19.17  (assume a4535 (forall ((A tptp.real) (C tptp.real) (B 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)) B) (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) B)) C))))
% 19.00/19.17  (assume a4536 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) B) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) C))))
% 19.00/19.17  (assume a4537 (forall ((A tptp.nat) (C tptp.nat) (B 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)) B) (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) B)) C))))
% 19.00/19.17  (assume a4538 (forall ((A tptp.int) (C tptp.int) (B 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)) B) (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) B)) C))))
% 19.00/19.17  (assume a4539 (forall ((B 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 B)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))
% 19.00/19.17  (assume a4540 (forall ((B 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 B)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))
% 19.00/19.17  (assume a4541 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) A) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B))))
% 19.00/19.17  (assume a4542 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) A) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B))))
% 19.00/19.17  (assume a4543 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B) (= (tptp.aa_int_int tptp.uminus_uminus_int B) A))))
% 19.00/19.17  (assume a4544 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B) (= (tptp.aa_real_real tptp.uminus_uminus_real B) A))))
% 19.00/19.17  (assume a4545 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat B) A))))
% 19.00/19.17  (assume a4546 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) A))))
% 19.00/19.17  (assume a4547 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B)) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.00/19.17  (assume a4548 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B)) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.00/19.17  (assume a4549 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.00/19.17  (assume a4550 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.00/19.17  (assume a4551 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)) (= (= A B) (= C D)))))
% 19.00/19.17  (assume a4552 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)) (= (= A B) (= C D)))))
% 19.00/19.17  (assume a4553 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (= A B) (= C D)))))
% 19.00/19.17  (assume a4554 (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)))))
% 19.00/19.17  (assume a4555 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat Q)))))
% 19.00/19.17  (assume a4556 (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)))))
% 19.00/19.17  (assume a4557 (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)))))
% 19.00/19.17  (assume a4558 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4559 (forall ((A tptp.rat) (B 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) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4560 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4561 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B))))))
% 19.00/19.17  (assume a4562 (forall ((B 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 B) 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) B))))))
% 19.00/19.17  (assume a4563 (forall ((B 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 B) 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) B))))))
% 19.00/19.17  (assume a4564 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4565 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4566 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4567 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) (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) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 19.00/19.17  (assume a4568 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) (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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 19.00/19.17  (assume a4569 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 19.00/19.17  (assume a4570 (forall ((A tptp.complex) (B tptp.complex)) (= (= A B) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) tptp.zero_zero_complex))))
% 19.00/19.17  (assume a4571 (forall ((A tptp.real) (B tptp.real)) (= (= A B) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) tptp.zero_zero_real))))
% 19.00/19.17  (assume a4572 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) tptp.zero_zero_rat))))
% 19.00/19.17  (assume a4573 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) tptp.zero_zero_int))))
% 19.00/19.17  (assume a4574 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4575 (forall ((A tptp.rat) (B 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) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4576 (forall ((A tptp.int) (B 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) B)) (=> (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 B) D)))))))
% 19.00/19.17  (assume a4577 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) (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) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D))))))
% 19.00/19.17  (assume a4578 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) (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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D))))))
% 19.00/19.17  (assume a4579 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D))))))
% 19.00/19.17  (assume a4580 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) 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) B))))))
% 19.00/19.17  (assume a4581 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) 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) B))))))
% 19.00/19.17  (assume a4582 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) 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) B))))))
% 19.00/19.17  (assume a4583 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4584 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4585 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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 B) C))))))
% 19.00/19.17  (assume a4586 (forall ((A tptp.real) (B 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 B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.00/19.17  (assume a4587 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.00/19.17  (assume a4588 (forall ((A tptp.rat) (B 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 B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a4589 (forall ((A tptp.int) (B 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 B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.00/19.17  (assume a4590 (forall ((A tptp.real) (B 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)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) A)))))
% 19.00/19.17  (assume a4591 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) A)))))
% 19.00/19.17  (assume a4592 (forall ((A tptp.rat) (B 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)) B)) (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 B)) A)))))
% 19.00/19.17  (assume a4593 (forall ((A tptp.int) (B 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)) B)) (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 B)) A)))))
% 19.00/19.17  (assume a4594 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.00/19.17  (assume a4595 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.00/19.17  (assume a4596 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (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 B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a4597 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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 B)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.00/19.17  (assume a4598 (forall ((A tptp.real) (B 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 B) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.00/19.17  (assume a4599 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))
% 19.00/19.17  (assume a4600 (forall ((A tptp.nat) (B 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 B) 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)))))
% 19.00/19.17  (assume a4601 (forall ((A tptp.int) (B 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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.00/19.17  (assume a4602 (forall ((B 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 B) 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 B) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)))))
% 19.00/19.17  (assume a4603 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) A) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) A)) (tptp.aa_rat_rat (tptp.times_times_rat C) A)))))
% 19.00/19.17  (assume a4604 (forall ((B 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 B) 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 B) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))))
% 19.00/19.17  (assume a4605 (forall ((B 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 B) 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 B) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))))
% 19.00/19.17  (assume a4606 (forall ((A tptp.real) (B 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 B) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.00/19.17  (assume a4607 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))
% 19.00/19.17  (assume a4608 (forall ((A tptp.int) (B 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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.00/19.17  (assume a4609 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4610 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.times_times_rat B) C)))))
% 19.00/19.17  (assume a4611 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4612 (forall ((A tptp.int) (B 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 B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.00/19.17  (assume a4613 (forall ((A tptp.real) (B 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 B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.00/19.17  (assume a4614 (forall ((A tptp.rat) (B 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 B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a4615 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.00/19.17  (assume a4616 (forall ((A tptp.int) (B 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)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B)) A)))))
% 19.00/19.17  (assume a4617 (forall ((A tptp.real) (B 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)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) A)))))
% 19.00/19.17  (assume a4618 (forall ((A tptp.rat) (B 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)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) A)))))
% 19.00/19.17  (assume a4619 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) A)))))
% 19.00/19.17  (assume a4620 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.00/19.17  (assume a4621 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.00/19.17  (assume a4622 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a4623 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.00/19.17  (assume a4624 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real) (B tptp.real)) (=> (= A2 (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 A2) B) (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) B))))))
% 19.00/19.17  (assume a4625 (forall ((A2 tptp.rat) (K tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (= A2 (tptp.aa_rat_rat (tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A2) B) (tptp.aa_rat_rat (tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))))
% 19.00/19.17  (assume a4626 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int) (B tptp.int)) (=> (= A2 (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 A2) B) (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) B))))))
% 19.00/19.17  (assume a4627 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B) C) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B)))))
% 19.00/19.17  (assume a4628 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B) C) (= A (tptp.aa_rat_rat (tptp.plus_plus_rat C) B)))))
% 19.00/19.17  (assume a4629 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) C) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B)))))
% 19.00/19.17  (assume a4630 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) C))))
% 19.00/19.17  (assume a4631 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.minus_minus_rat C) B)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) C))))
% 19.00/19.17  (assume a4632 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) C))))
% 19.00/19.17  (assume a4633 (forall ((A tptp.real) (B 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 B) 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) B)) C))))
% 19.00/19.17  (assume a4634 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C))))
% 19.00/19.17  (assume a4635 (forall ((A tptp.int) (B 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 B) 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) B)) C))))
% 19.00/19.17  (assume a4636 (forall ((A tptp.real) (B 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 B) 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)) B))))
% 19.00/19.17  (assume a4637 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) B))))
% 19.00/19.17  (assume a4638 (forall ((A tptp.int) (B 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 B) 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)) B))))
% 19.00/19.17  (assume a4639 (forall ((A tptp.real) (B 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) B)) 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)) B))))
% 19.00/19.17  (assume a4640 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) B))))
% 19.00/19.17  (assume a4641 (forall ((A tptp.int) (B 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) B)) 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)) B))))
% 19.00/19.17  (assume a4642 (forall ((A tptp.real) (B 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 B) 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)) B))))
% 19.00/19.17  (assume a4643 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) B))))
% 19.00/19.17  (assume a4644 (forall ((A tptp.int) (B 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 B) 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)) B))))
% 19.00/19.17  (assume a4645 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B) A) (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)))))
% 19.00/19.17  (assume a4646 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.plus_plus_rat C) B) A) (= C (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)))))
% 19.00/19.17  (assume a4647 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B) A) (= C (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)))))
% 19.00/19.17  (assume a4648 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B) A) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)))))
% 19.00/19.17  (assume a4649 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4650 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat B) C)))))
% 19.00/19.17  (assume a4651 (forall ((A tptp.nat) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4652 (forall ((A tptp.int) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4653 (forall ((A tptp.real) (C tptp.real) (B 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 B) 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)))))
% 19.00/19.17  (assume a4654 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat B) D)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)))))
% 19.00/19.17  (assume a4655 (forall ((A tptp.int) (C tptp.int) (B 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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)))))
% 19.00/19.17  (assume a4656 (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))))))
% 19.00/19.17  (assume a4657 (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))))))
% 19.00/19.17  (assume a4658 (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))))))
% 19.00/19.17  (assume a4659 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.numera6620942414471956472nteger M) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.00/19.17  (assume a4660 (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)))))
% 19.00/19.17  (assume a4661 (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)))))
% 19.00/19.17  (assume a4662 (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)))))
% 19.00/19.17  (assume a4663 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N)))))
% 19.00/19.17  (assume a4664 (forall ((A tptp.int) (B 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)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 19.00/19.17  (assume a4665 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 19.00/19.17  (assume a4666 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 19.00/19.17  (assume a4667 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (tptp.times_3573771949741848930nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 19.00/19.17  (assume a4668 (forall ((A tptp.int) (B 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 B) B)) (or (= A B) (= A (tptp.aa_int_int tptp.uminus_uminus_int B))))))
% 19.00/19.17  (assume a4669 (forall ((A tptp.real) (B 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 B) B)) (or (= A B) (= A (tptp.aa_real_real tptp.uminus_uminus_real B))))))
% 19.00/19.17  (assume a4670 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat A) A) (tptp.aa_rat_rat (tptp.times_times_rat B) B)) (or (= A B) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))))
% 19.00/19.17  (assume a4671 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.times_3573771949741848930nteger A A) (tptp.times_3573771949741848930nteger B B)) (or (= A B) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))))
% 19.00/19.17  (assume a4672 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) 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 B) C)))))
% 19.00/19.17  (assume a4673 (forall ((A tptp.real) (B 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) B)) 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 B) C)))))
% 19.00/19.17  (assume a4674 (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 19.00/19.17  (assume a4675 (not (= tptp.one_one_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.00/19.17  (assume a4676 (not (= tptp.one_one_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 19.00/19.17  (assume a4677 (not (= tptp.one_one_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 19.00/19.17  (assume a4678 (not (= tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.00/19.17  (assume a4679 (forall ((A2 tptp.int) (K tptp.int) (A tptp.int)) (=> (= A2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) A)) (= (tptp.aa_int_int tptp.uminus_uminus_int A2) (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))))))
% 19.00/19.17  (assume a4680 (forall ((A2 tptp.real) (K tptp.real) (A tptp.real)) (=> (= A2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) A)) (= (tptp.aa_real_real tptp.uminus_uminus_real A2) (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))))))
% 19.00/19.17  (assume a4681 (forall ((A2 tptp.rat) (K tptp.rat) (A tptp.rat)) (=> (= A2 (tptp.aa_rat_rat (tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a4682 (forall ((A2 tptp.code_integer) (K tptp.code_integer) (A tptp.code_integer)) (=> (= A2 (tptp.plus_p5714425477246183910nteger K A)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A2) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.00/19.17  (assume a4683 (forall ((A tptp.int) (B 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.00/19.17  (assume a4684 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.00/19.17  (assume a4685 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.00/19.17  (assume a4686 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.00/19.17  (assume a4687 (forall ((A tptp.int) (B 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.00/19.17  (assume a4688 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.00/19.17  (assume a4689 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.00/19.17  (assume a4690 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.00/19.17  (assume a4691 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))
% 19.00/19.17  (assume a4692 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B))))
% 19.00/19.17  (assume a4693 (forall ((A tptp.real) (B 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 B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B))))
% 19.00/19.17  (assume a4694 (forall ((A tptp.rat) (B 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 B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B))))
% 19.00/19.17  (assume a4695 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 19.00/19.17  (assume a4696 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 19.00/19.17  (assume a4697 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)))))))
% 19.00/19.17  (assume a4698 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X2) (tptp.aa_rat_rat (tptp.minus_minus_rat Y) Z)))))))
% 19.00/19.17  (assume a4699 (forall ((X2 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) Z)))))))
% 19.00/19.17  (assume a4700 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) I)))))))
% 19.00/19.17  (assume a4701 (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)))))
% 19.00/19.17  (assume a4702 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.zero_zero_nat) M)))
% 19.00/19.17  (assume a4703 (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)))))))
% 19.00/19.17  (assume a4704 (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)))))
% 19.00/19.17  (assume a4705 (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))))))
% 19.00/19.17  (assume a4706 (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)))))))
% 19.00/19.17  (assume a4707 (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))))))
% 19.00/19.17  (assume a4708 (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))))))
% 19.00/19.17  (assume a4709 (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))))
% 19.00/19.17  (assume a4710 (forall ((A tptp.nat) (C tptp.nat) (B 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 B) 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) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))))
% 19.00/19.17  (assume a4711 (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))))))
% 19.00/19.17  (assume a4712 (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.00/19.17  (assume a4713 (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))))
% 19.00/19.17  (assume a4714 (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))))
% 19.00/19.17  (assume a4715 (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)))
% 19.00/19.17  (assume a4716 (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)))
% 19.00/19.17  (assume a4717 (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)))))
% 19.00/19.17  (assume a4718 (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)))))
% 19.00/19.17  (assume a4719 (forall ((X2 tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real X2) Y)) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)))))
% 19.00/19.17  (assume a4720 (forall ((X2 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.ord_max_rat X2) Y)) Z) (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Z)) (tptp.aa_rat_rat (tptp.minus_minus_rat Y) Z)))))
% 19.00/19.17  (assume a4721 (forall ((X2 tptp.int) (Y tptp.int) (Z 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.ord_max_int X2) Y)) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X2) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) Z)))))
% 19.00/19.17  (assume a4722 (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)))))))
% 19.00/19.17  (assume a4723 (forall ((Z tptp.complex) (A tptp.complex) (B 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))) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))) (=> (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))) B) (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 B) Z))) Z))))))
% 19.00/19.17  (assume a4724 (forall ((Z tptp.real) (A tptp.real) (B 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))) B) (tptp.aa_real_real tptp.uminus_uminus_real B))) (=> (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))) B) (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 B) Z))) Z))))))
% 19.00/19.17  (assume a4725 (forall ((Z tptp.rat) (A tptp.rat) (B 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))) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))) (=> (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))) B) (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.times_times_rat B) Z))) Z))))))
% 19.00/19.17  (assume a4726 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) Z))) Z))))))
% 19.00/19.17  (assume a4727 (forall ((Z tptp.real) (A tptp.real) (B 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)) B) (tptp.aa_real_real tptp.uminus_uminus_real B))) (=> (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)) B) (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 B) Z))) Z))))))
% 19.00/19.17  (assume a4728 (forall ((Z tptp.rat) (A tptp.rat) (B 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)) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.times_times_rat B) Z))) Z))))))
% 19.00/19.17  (assume a4729 (forall ((Z tptp.complex) (X2 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 X2) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X2)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.00/19.17  (assume a4730 (forall ((Z tptp.real) (X2 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 X2) 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 X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.00/19.17  (assume a4731 (forall ((Z tptp.rat) (X2 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 X2) 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 X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) Z)))))
% 19.00/19.17  (assume a4732 (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))))))
% 19.00/19.17  (assume a4733 (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))))))
% 19.00/19.17  (assume a4734 (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.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.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))))))
% 19.00/19.17  (assume a4735 (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))))))
% 19.00/19.17  (assume a4736 (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_Code_integer (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.aa_nat_Code_integer (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))))))
% 19.00/19.17  (assume a4737 (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)))))
% 19.00/19.17  (assume a4738 (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)))))
% 19.00/19.17  (assume a4739 (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)))))
% 19.00/19.17  (assume a4740 (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)))))
% 19.00/19.17  (assume a4741 (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))))
% 19.00/19.17  (assume a4742 (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))))
% 19.00/19.17  (assume a4743 (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))))
% 19.00/19.17  (assume a4744 (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))))
% 19.00/19.17  (assume a4745 (forall ((P3 tptp.bool)) (and (=> (tptp.pp P3) (= (tptp.zero_n1201886186963655149omplex P3) tptp.one_one_complex)) (=> (not (tptp.pp P3)) (= (tptp.zero_n1201886186963655149omplex P3) tptp.zero_zero_complex)))))
% 19.00/19.17  (assume a4746 (forall ((P3 tptp.bool)) (and (=> (tptp.pp P3) (= (tptp.zero_n3304061248610475627l_real P3) tptp.one_one_real)) (=> (not (tptp.pp P3)) (= (tptp.zero_n3304061248610475627l_real P3) tptp.zero_zero_real)))))
% 19.00/19.17  (assume a4747 (forall ((P3 tptp.bool)) (and (=> (tptp.pp P3) (= (tptp.zero_n2052037380579107095ol_rat P3) tptp.one_one_rat)) (=> (not (tptp.pp P3)) (= (tptp.zero_n2052037380579107095ol_rat P3) tptp.zero_zero_rat)))))
% 19.00/19.17  (assume a4748 (forall ((P3 tptp.bool)) (and (=> (tptp.pp P3) (= (tptp.zero_n2687167440665602831ol_nat P3) tptp.one_one_nat)) (=> (not (tptp.pp P3)) (= (tptp.zero_n2687167440665602831ol_nat P3) tptp.zero_zero_nat)))))
% 19.00/19.17  (assume a4749 (forall ((P3 tptp.bool)) (and (=> (tptp.pp P3) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P3) tptp.one_one_int)) (=> (not (tptp.pp P3)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P3) tptp.zero_zero_int)))))
% 19.00/19.17  (assume a4750 (forall ((P tptp.fun_complex_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P3))) (and (=> (tptp.pp P3) (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex))) (=> (not (tptp.pp P3)) (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))
% 19.00/19.17  (assume a4751 (forall ((P tptp.fun_real_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P3))) (and (=> (tptp.pp P3) (tptp.pp (tptp.aa_real_bool P tptp.one_one_real))) (=> (not (tptp.pp P3)) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))
% 19.00/19.17  (assume a4752 (forall ((P tptp.fun_rat_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool P (tptp.zero_n2052037380579107095ol_rat P3))) (and (=> (tptp.pp P3) (tptp.pp (tptp.aa_rat_bool P tptp.one_one_rat))) (=> (not (tptp.pp P3)) (tptp.pp (tptp.aa_rat_bool P tptp.zero_zero_rat)))))))
% 19.00/19.17  (assume a4753 (forall ((P tptp.fun_nat_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P3))) (and (=> (tptp.pp P3) (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat))) (=> (not (tptp.pp P3)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))
% 19.00/19.17  (assume a4754 (forall ((P tptp.fun_int_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P3))) (and (=> (tptp.pp P3) (tptp.pp (tptp.aa_int_bool P tptp.one_one_int))) (=> (not (tptp.pp P3)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 19.00/19.17  (assume a4755 (forall ((P tptp.fun_complex_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P3))) (not (or (and (tptp.pp P3) (not (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex)))) (and (not (tptp.pp P3)) (not (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))))
% 19.00/19.17  (assume a4756 (forall ((P tptp.fun_real_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P3))) (not (or (and (tptp.pp P3) (not (tptp.pp (tptp.aa_real_bool P tptp.one_one_real)))) (and (not (tptp.pp P3)) (not (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))))
% 19.00/19.17  (assume a4757 (forall ((P tptp.fun_rat_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool P (tptp.zero_n2052037380579107095ol_rat P3))) (not (or (and (tptp.pp P3) (not (tptp.pp (tptp.aa_rat_bool P tptp.one_one_rat)))) (and (not (tptp.pp P3)) (not (tptp.pp (tptp.aa_rat_bool P tptp.zero_zero_rat)))))))))
% 19.00/19.17  (assume a4758 (forall ((P tptp.fun_nat_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P3))) (not (or (and (tptp.pp P3) (not (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)))) (and (not (tptp.pp P3)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))))
% 19.00/19.17  (assume a4759 (forall ((P tptp.fun_int_bool) (P3 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P3))) (not (or (and (tptp.pp P3) (not (tptp.pp (tptp.aa_int_bool P tptp.one_one_int)))) (and (not (tptp.pp P3)) (not (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))))
% 19.00/19.17  (assume a4760 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (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) B)) tptp.zero_zero_real)))))
% 19.00/19.17  (assume a4761 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (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) B)) tptp.zero_zero_rat)))))
% 19.00/19.17  (assume a4762 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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) B)) tptp.zero_zero_int)))))
% 19.00/19.17  (assume a4763 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (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) B)) tptp.zero_zero_real)))))
% 19.00/19.17  (assume a4764 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (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) B)) tptp.zero_zero_rat)))))
% 19.00/19.17  (assume a4765 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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) B)) tptp.zero_zero_int)))))
% 19.00/19.17  (assume a4766 (forall ((A tptp.real) (B 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) B)) 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) B))))))
% 19.00/19.17  (assume a4767 (forall ((A tptp.rat) (B 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) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))))))
% 19.00/19.17  (assume a4768 (forall ((A tptp.int) (B 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) B)) 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) B))))))
% 19.00/19.17  (assume a4769 (forall ((A tptp.real) (C tptp.real) (B 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) B))) (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) B)) C)))))
% 19.00/19.17  (assume a4770 (forall ((A tptp.rat) (C tptp.rat) (B 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) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C)))))
% 19.00/19.17  (assume a4771 (forall ((A tptp.int) (C tptp.int) (B 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) B))) (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) B)) C)))))
% 19.00/19.17  (assume a4772 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) A)) A) B))))
% 19.00/19.17  (assume a4773 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (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 B) C)) A))))))
% 19.00/19.17  (assume a4774 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) 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)) B))))))
% 19.00/19.17  (assume a4775 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) 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) B)) A)))))
% 19.00/19.17  (assume a4776 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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) B)) 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 B) A))))))
% 19.00/19.17  (assume a4777 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) 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 B) C)) A)))))
% 19.00/19.17  (assume a4778 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) 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 B) A)) C)))))
% 19.00/19.17  (assume a4779 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) 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)) B)))))
% 19.00/19.17  (assume a4780 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B) A)) B))))
% 19.00/19.17  (assume a4781 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A) C) (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)))))))
% 19.00/19.17  (assume a4782 (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))))))
% 19.00/19.17  (assume a4783 (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.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))))))
% 19.00/19.17  (assume a4784 (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))))))
% 19.00/19.17  (assume a4785 (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))))))
% 19.00/19.17  (assume a4786 (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))))))))
% 19.00/19.17  (assume a4787 (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.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.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.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.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))))))))
% 19.00/19.17  (assume a4788 (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))))))))
% 19.00/19.17  (assume a4789 (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))))))))
% 19.00/19.17  (assume a4790 (forall ((A tptp.real) (B 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) B)) 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) B))))))
% 19.00/19.17  (assume a4791 (forall ((A tptp.rat) (B 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) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.plus_plus_rat C) B))))))
% 19.00/19.17  (assume a4792 (forall ((A tptp.int) (B 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) B)) 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) B))))))
% 19.00/19.17  (assume a4793 (forall ((A tptp.real) (C tptp.real) (B 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) B))) (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) B)) C)))))
% 19.00/19.17  (assume a4794 (forall ((A tptp.rat) (C tptp.rat) (B 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) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) C)))))
% 19.00/19.17  (assume a4795 (forall ((A tptp.int) (C tptp.int) (B 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) B))) (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) B)) C)))))
% 19.00/19.17  (assume a4796 (forall ((A tptp.real) (B tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) A))))
% 19.00/19.17  (assume a4797 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (= (tptp.aa_rat_rat (tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) A))))
% 19.00/19.17  (assume a4798 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) A))))
% 19.00/19.17  (assume a4799 (forall ((A tptp.int) (B tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) A))))
% 19.00/19.17  (assume a4800 (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)))))))
% 19.00/19.17  (assume a4801 (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)))))))
% 19.00/19.17  (assume a4802 (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)))))))
% 19.00/19.17  (assume a4803 (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)))))))
% 19.00/19.17  (assume a4804 (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)))))
% 19.00/19.17  (assume a4805 (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)))))
% 19.00/19.17  (assume a4806 (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)))))
% 19.00/19.17  (assume a4807 (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)))))
% 19.00/19.17  (assume a4808 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 19.00/19.17  (assume a4809 (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))))))
% 19.00/19.17  (assume a4810 (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))))))
% 19.00/19.17  (assume a4811 (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))))))
% 19.00/19.17  (assume a4812 (forall ((N tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.00/19.17  (assume a4813 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C) D))))
% 19.00/19.17  (assume a4814 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) E2)) C) D))))
% 19.00/19.17  (assume a4815 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C) D))))
% 19.00/19.17  (assume a4816 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D)))))
% 19.00/19.17  (assume a4817 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D)) (= C (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) A)) E2)) D)))))
% 19.00/19.17  (assume a4818 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D)))))
% 19.00/19.17  (assume a4819 (forall ((X2 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 X2) X2)) (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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) Y)))))
% 19.00/19.17  (assume a4820 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Y)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) Y)) (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Y)))))
% 19.00/19.17  (assume a4821 (forall ((X2 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 X2) X2)) (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 X2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X2) Y)))))
% 19.00/19.17  (assume a4822 (forall ((X2 tptp.real) (Y tptp.real) (A tptp.real) (B 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) B))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) A)) B)))))
% 19.00/19.17  (assume a4823 (forall ((X2 tptp.rat) (Y tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) Y)) (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) (tptp.aa_rat_rat (tptp.minus_minus_rat Y) B))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) A)) B)))))
% 19.00/19.17  (assume a4824 (forall ((X2 tptp.int) (Y tptp.int) (A tptp.int) (B 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 X2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (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 X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) B))) (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 X2) A)) B)))))
% 19.00/19.17  (assume a4825 (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)))))
% 19.00/19.17  (assume a4826 (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)))))
% 19.00/19.17  (assume a4827 (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)))))
% 19.00/19.17  (assume a4828 (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)))))
% 19.00/19.17  (assume a4829 (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)))))))
% 19.00/19.17  (assume a4830 (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)))))))
% 19.00/19.17  (assume a4831 (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)))))))
% 19.00/19.17  (assume a4832 (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)))))))
% 19.00/19.17  (assume a4833 (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)))
% 19.00/19.17  (assume a4834 (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)))
% 19.00/19.17  (assume a4835 (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)))
% 19.00/19.17  (assume a4836 (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)))
% 19.00/19.17  (assume a4837 (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)))))
% 19.00/19.17  (assume a4838 (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)))))
% 19.00/19.17  (assume a4839 (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)))))
% 19.00/19.17  (assume a4840 (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)))))
% 19.00/19.17  (assume a4841 (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 19.00/19.17  (assume a4842 (not (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.00/19.17  (assume a4843 (not (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 19.00/19.17  (assume a4844 (not (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 19.00/19.17  (assume a4845 (not (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.00/19.17  (assume a4846 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 19.00/19.17  (assume a4847 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 19.00/19.17  (assume a4848 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 19.00/19.17  (assume a4849 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) tptp.zero_zero_rat))))
% 19.00/19.17  (assume a4850 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.17  (assume a4851 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 19.00/19.17  (assume a4852 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 19.00/19.17  (assume a4853 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 19.00/19.17  (assume a4854 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) tptp.zero_zero_rat))))
% 19.00/19.17  (assume a4855 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.17  (assume a4856 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B))))
% 19.00/19.17  (assume a4857 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.uminus_uminus_int A) B))))
% 19.00/19.17  (assume a4858 (forall ((A tptp.real) (B tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real A) B))))
% 19.00/19.17  (assume a4859 (forall ((A tptp.rat) (B tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B))))
% 19.00/19.17  (assume a4860 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B))))
% 19.00/19.17  (assume a4861 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 19.00/19.17  (assume a4862 (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)))
% 19.00/19.17  (assume a4863 (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)))
% 19.00/19.17  (assume a4864 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 19.00/19.17  (assume a4865 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.17  (assume a4866 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= B (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 19.00/19.17  (assume a4867 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.00/19.17  (assume a4868 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B) tptp.zero_zero_real) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.00/19.17  (assume a4869 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.plus_plus_rat A) B) tptp.zero_zero_rat) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.00/19.17  (assume a4870 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.00/19.17  (assume a4871 (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)))))
% 19.00/19.17  (assume a4872 (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)))))
% 19.00/19.17  (assume a4873 (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)))))
% 19.00/19.17  (assume a4874 (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)))))
% 19.00/19.17  (assume a4875 (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)))
% 19.00/19.17  (assume a4876 (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)))
% 19.00/19.17  (assume a4877 (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)))
% 19.00/19.17  (assume a4878 (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)))
% 19.00/19.17  (assume a4879 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))))
% 19.00/19.17  (assume a4880 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B 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 B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)))))
% 19.00/19.17  (assume a4881 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B 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 B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)))))
% 19.00/19.17  (assume a4882 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))))
% 19.00/19.17  (assume a4883 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B 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) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B))))))
% 19.00/19.17  (assume a4884 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))))
% 19.00/19.17  (assume a4885 (forall ((N tptp.num)) (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 19.00/19.17  (assume a4886 (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))))))
% 19.00/19.17  (assume a4887 (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))))))
% 19.00/19.17  (assume a4888 (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))))))
% 19.00/19.17  (assume a4889 (forall ((N tptp.num)) (not (= tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.00/19.17  (assume a4890 (forall ((N tptp.num)) (not (= (tptp.numera6690914467698888265omplex N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 19.00/19.17  (assume a4891 (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)))))
% 19.00/19.17  (assume a4892 (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)))))
% 19.00/19.17  (assume a4893 (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)))))
% 19.00/19.17  (assume a4894 (forall ((N tptp.num)) (not (= (tptp.numera6620942414471956472nteger N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.00/19.17  (assume a4895 (forall ((X2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex X2) X2) tptp.one_one_complex) (or (= X2 tptp.one_one_complex) (= X2 (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 19.00/19.17  (assume a4896 (forall ((X2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X2) X2) tptp.one_one_int) (or (= X2 tptp.one_one_int) (= X2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.00/19.17  (assume a4897 (forall ((X2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) X2) tptp.one_one_real) (or (= X2 tptp.one_one_real) (= X2 (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.00/19.17  (assume a4898 (forall ((X2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.times_times_rat X2) X2) tptp.one_one_rat) (or (= X2 tptp.one_one_rat) (= X2 (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.00/19.17  (assume a4899 (forall ((X2 tptp.code_integer)) (= (= (tptp.times_3573771949741848930nteger X2 X2) tptp.one_one_Code_integer) (or (= X2 tptp.one_one_Code_integer) (= X2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.00/19.17  (assume a4900 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 19.00/19.17  (assume a4901 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B))))))
% 19.00/19.17  (assume a4902 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B))))))
% 19.00/19.17  (assume a4903 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B))))))
% 19.00/19.17  (assume a4904 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.divide_divide_int A) B))))))
% 19.00/19.17  (assume a4905 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B))))))
% 19.00/19.17  (assume a4906 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B) A)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B))))))
% 19.00/19.17  (assume a4907 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B))))))
% 19.00/19.17  (assume a4908 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (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) B))))))
% 19.00/19.17  (assume a4909 (forall ((B tptp.int) (A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))))
% 19.00/19.17  (assume a4910 (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)))))
% 19.00/19.17  (assume a4911 (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)))))
% 19.00/19.17  (assume a4912 (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))))))
% 19.00/19.17  (assume a4913 (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))))))
% 19.00/19.17  (assume a4914 (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)))))))
% 19.00/19.17  (assume a4915 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (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 B) C)))))))
% 19.00/19.17  (assume a4916 (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)))
% 19.00/19.17  (assume a4917 (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)))))
% 19.00/19.17  (assume a4918 (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))))
% 19.00/19.17  (assume a4919 (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))))))
% 19.00/19.17  (assume a4920 (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))))))
% 19.00/19.17  (assume a4921 (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))))))
% 19.00/19.17  (assume a4922 (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)))))
% 19.00/19.17  (assume a4923 (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))))))
% 19.00/19.17  (assume a4924 (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))))
% 19.00/19.17  (assume a4925 (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))))))
% 19.00/19.17  (assume a4926 (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)))))))
% 19.00/19.17  (assume a4927 (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)))))))
% 19.00/19.17  (assume a4928 (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)))))))
% 19.00/19.17  (assume a4929 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D4 tptp.nat) (X4 tptp.nat) (Y2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) B)) (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) X4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y2)) D4) (= (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 B) X4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y2)) D4))))))
% 19.00/19.17  (assume a4930 (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))))))
% 19.00/19.17  (assume a4931 (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)))))))
% 19.00/19.17  (assume a4932 (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))))))
% 19.00/19.17  (assume a4933 (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)))))
% 19.00/19.17  (assume a4934 (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)))))
% 19.00/19.17  (assume a4935 (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))))
% 19.00/19.17  (assume a4936 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4937 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4938 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4939 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D))))))
% 19.00/19.17  (assume a4940 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) A)) E2)) D))))))
% 19.00/19.17  (assume a4941 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D))))))
% 19.00/19.17  (assume a4942 (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))))
% 19.00/19.17  (assume a4943 (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))))
% 19.00/19.17  (assume a4944 (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))))
% 19.00/19.17  (assume a4945 (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))))
% 19.00/19.17  (assume a4946 (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)))))))
% 19.00/19.17  (assume a4947 (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)))))))
% 19.00/19.17  (assume a4948 (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)))))))
% 19.00/19.17  (assume a4949 (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)))))))
% 19.00/19.17  (assume a4950 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4951 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4952 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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) B)) E2)) C)) D)))))
% 19.00/19.17  (assume a4953 (forall ((A tptp.real) (E2 tptp.real) (C tptp.real) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D))))))
% 19.00/19.17  (assume a4954 (forall ((A tptp.rat) (E2 tptp.rat) (C tptp.rat) (B 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.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) E2)) C)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat B) E2)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) A)) E2)) D))))))
% 19.00/19.17  (assume a4955 (forall ((A tptp.int) (E2 tptp.int) (C tptp.int) (B 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) E2)) 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 B) E2)) 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 B) A)) E2)) D))))))
% 19.00/19.17  (assume a4956 (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))))
% 19.00/19.17  (assume a4957 (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))))
% 19.00/19.17  (assume a4958 (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))))
% 19.00/19.17  (assume a4959 (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))))
% 19.00/19.17  (assume a4960 (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)))))))
% 19.00/19.17  (assume a4961 (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)))))))
% 19.00/19.17  (assume a4962 (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)))))))
% 19.00/19.17  (assume a4963 (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)))))))
% 19.00/19.17  (assume a4964 (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)))))
% 19.00/19.17  (assume a4965 (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)))))
% 19.00/19.17  (assume a4966 (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)))))
% 19.00/19.17  (assume a4967 (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)))))
% 19.00/19.17  (assume a4968 (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)))
% 19.00/19.17  (assume a4969 (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)))
% 19.00/19.17  (assume a4970 (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)))
% 19.00/19.17  (assume a4971 (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)))
% 19.00/19.17  (assume a4972 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) 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)) B)) Z))))))
% 19.00/19.17  (assume a4973 (forall ((Z tptp.rat) (A tptp.rat) (B 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 B) 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 B) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat A) Z)) B)) Z))))))
% 19.00/19.17  (assume a4974 (forall ((Z tptp.real) (A tptp.real) (B 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 B) 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 B) 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)) B)) Z))))))
% 19.00/19.17  (assume a4975 (forall ((Y tptp.complex) (Z tptp.complex) (X2 tptp.complex) (W2 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 X2) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W2) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X2) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W2) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 19.00/19.17  (assume a4976 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat) (W2 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 X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat W2) Y))) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z)))))))
% 19.00/19.17  (assume a4977 (forall ((Y tptp.real) (Z tptp.real) (X2 tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W2) 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 X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 19.00/19.17  (assume a4978 (forall ((Z tptp.complex) (X2 tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (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 X2) Z)) Y)) Z)))))
% 19.00/19.17  (assume a4979 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat X2) (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.times_times_rat X2) Z)) Y)) Z)))))
% 19.00/19.17  (assume a4980 (forall ((Z tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) (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 X2) Z)) Y)) Z)))))
% 19.00/19.17  (assume a4981 (forall ((Z tptp.complex) (X2 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 X2) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.00/19.17  (assume a4982 (forall ((Z tptp.rat) (X2 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 X2) Z)) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) Z)))))
% 19.00/19.17  (assume a4983 (forall ((Z tptp.real) (X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.00/19.17  (assume a4984 (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)))))
% 19.00/19.17  (assume a4985 (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)))))
% 19.00/19.17  (assume a4986 (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)))))
% 19.00/19.17  (assume a4987 (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)))))
% 19.00/19.17  (assume a4988 (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)))
% 19.00/19.17  (assume a4989 (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)))
% 19.00/19.17  (assume a4990 (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)))
% 19.00/19.17  (assume a4991 (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)))
% 19.00/19.17  (assume a4992 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X2) X2)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X2) tptp.one_one_complex)))))
% 19.00/19.17  (assume a4993 (forall ((X2 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 X2) X2)) 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 X2) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) tptp.one_one_real)))))
% 19.00/19.17  (assume a4994 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat X2) X2)) tptp.one_one_rat) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.minus_minus_rat X2) tptp.one_one_rat)))))
% 19.00/19.17  (assume a4995 (forall ((X2 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 X2) X2)) 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 X2) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X2) tptp.one_one_int)))))
% 19.00/19.17  (assume a4996 (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))))
% 19.00/19.17  (assume a4997 (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))))
% 19.00/19.17  (assume a4998 (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))))
% 19.00/19.17  (assume a4999 (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))))
% 19.00/19.17  (assume a5000 (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)))))
% 19.00/19.17  (assume a5001 (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)))))
% 19.00/19.17  (assume a5002 (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)))))
% 19.00/19.17  (assume a5003 (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)))))
% 19.00/19.17  (assume a5004 (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)))))
% 19.00/19.17  (assume a5005 (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)))))
% 19.00/19.17  (assume a5006 (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)))))
% 19.00/19.17  (assume a5007 (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)))))
% 19.00/19.17  (assume a5008 (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))))))
% 19.00/19.17  (assume a5009 (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))))))
% 19.00/19.17  (assume a5010 (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))))))
% 19.00/19.17  (assume a5011 (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))))))
% 19.00/19.17  (assume a5012 (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)))))))
% 19.00/19.17  (assume a5013 (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)))))))
% 19.00/19.17  (assume a5014 (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)))))))
% 19.00/19.17  (assume a5015 (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)))))))
% 19.00/19.17  (assume a5016 (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))))
% 19.00/19.17  (assume a5017 (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))))
% 19.00/19.17  (assume a5018 (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))))
% 19.00/19.17  (assume a5019 (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))))
% 19.00/19.17  (assume a5020 (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)))))
% 19.00/19.17  (assume a5021 (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)))))
% 19.00/19.17  (assume a5022 (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)))))
% 19.00/19.17  (assume a5023 (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)))))
% 19.00/19.17  (assume a5024 (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))))))
% 19.00/19.17  (assume a5025 (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))))))
% 19.00/19.17  (assume a5026 (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))))))
% 19.00/19.17  (assume a5027 (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))))))
% 19.00/19.17  (assume a5028 (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)))))))
% 19.00/19.17  (assume a5029 (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)))))))
% 19.00/19.17  (assume a5030 (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)))))))
% 19.00/19.17  (assume a5031 (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)))))))
% 19.00/19.17  (assume a5032 (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)))))))
% 19.00/19.17  (assume a5033 (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)))))))
% 19.00/19.17  (assume a5034 (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)))))))
% 19.00/19.17  (assume a5035 (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)))))))
% 19.00/19.17  (assume a5036 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C))) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.00/19.17  (assume a5037 (forall ((A tptp.real) (B 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 B) 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 B))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.00/19.17  (assume a5038 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B) C))) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) C) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.00/19.17  (assume a5039 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) A) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B) (tptp.aa_complex_complex (tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.00/19.17  (assume a5040 (forall ((B 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 B) C)) A) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.uminus_uminus_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.00/19.17  (assume a5041 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) A) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat B) (tptp.aa_rat_rat (tptp.times_times_rat A) C))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.00/19.17  (assume a5042 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) C) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) (tptp.aa_complex_complex (tptp.times_times_complex C) B))))))
% 19.00/19.17  (assume a5043 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (not (= B 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) B)) C) (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B))))))
% 19.00/19.17  (assume a5044 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) C) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat (tptp.times_times_rat C) B))))))
% 19.00/19.17  (assume a5045 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (= C (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))) (= (tptp.aa_complex_complex (tptp.times_times_complex C) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))))
% 19.00/19.17  (assume a5046 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (=> (not (= B 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) B))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.00/19.17  (assume a5047 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (= C (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B))) (= (tptp.aa_rat_rat (tptp.times_times_rat C) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.00/19.17  (assume a5048 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (not (= B tptp.zero_zero_complex)) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))))
% 19.00/19.17  (assume a5049 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (and (not (= B tptp.zero_zero_real)) (= A (tptp.aa_real_real tptp.uminus_uminus_real B))))))
% 19.00/19.17  (assume a5050 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (and (not (= B tptp.zero_zero_rat)) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))))
% 19.00/19.17  (assume a5051 (forall ((B 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))) B) (tptp.aa_int_int tptp.uminus_uminus_int B))))
% 19.00/19.17  (assume a5052 (forall ((B 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))) B) (tptp.aa_real_real tptp.uminus_uminus_real B))))
% 19.00/19.17  (assume a5053 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one))) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))
% 19.00/19.17  (assume a5054 (forall ((B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one)) B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))
% 19.00/19.17  (assume a5055 (forall ((B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (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 B))))
% 19.00/19.17  (assume a5056 (forall ((B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) (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 B))))
% 19.00/19.17  (assume a5057 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat B) (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 B))))
% 19.00/19.17  (assume a5058 (forall ((B tptp.code_integer)) (= (tptp.times_3573771949741848930nteger B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))
% 19.00/19.17  (assume a5059 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.00/19.17  (assume a5060 (= (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)))
% 19.00/19.17  (assume a5061 (= (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)))
% 19.00/19.17  (assume a5062 (= (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)))
% 19.00/19.17  (assume a5063 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.00/19.17  (assume a5064 (forall ((D tptp.real) (D5 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D5)) (forall ((X 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 X) 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 X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D5))) T)))))))))
% 19.00/19.18  (assume a5065 (forall ((D tptp.rat) (D5 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D5)) (forall ((X 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.plus_plus_rat X) T)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.times_times_rat K4) D5))) T)))))))))
% 19.00/19.18  (assume a5066 (forall ((D tptp.int) (D5 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D5)) (forall ((X 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 X) 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 X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D5))) T)))))))))
% 19.00/19.18  (assume a5067 (forall ((D tptp.real) (D5 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D5)) (forall ((X 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 X) 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 X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D5))) T))))))))
% 19.00/19.18  (assume a5068 (forall ((D tptp.rat) (D5 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D5)) (forall ((X 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.plus_plus_rat X) T))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.times_times_rat K4) D5))) T))))))))
% 19.00/19.18  (assume a5069 (forall ((D tptp.int) (D5 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D5)) (forall ((X 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 X) 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 X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D5))) T))))))))
% 19.00/19.18  (assume a5070 (forall ((A tptp.nat) (B 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) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 19.00/19.18  (assume a5071 (forall ((A tptp.int) (B 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.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 19.00/19.18  (assume a5072 (forall ((A tptp.nat) (B 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) B)) (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) B)) B))))
% 19.00/19.18  (assume a5073 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) B))))
% 19.00/19.18  (assume a5074 (forall ((A tptp.nat) (B 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) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))
% 19.00/19.18  (assume a5075 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.divide_divide_int A) B)))))
% 19.00/19.18  (assume a5076 (forall ((A tptp.nat) (B 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 19.00/19.18  (assume a5077 (forall ((A tptp.int) (B 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 B) (tptp.aa_int_int (tptp.divide_divide_int A) B))) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 19.00/19.18  (assume a5078 (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)))))
% 19.00/19.18  (assume a5079 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (forall ((D6 tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D6)) (tptp.pp (tptp.aa_nat_bool P D6))))))))
% 19.00/19.18  (assume a5080 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))) (not (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))) (exists ((D6 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D6)) (not (tptp.pp (tptp.aa_nat_bool P D6))))))))))
% 19.00/19.18  (assume a5081 (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)))))))
% 19.00/19.18  (assume a5082 (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)))))
% 19.00/19.18  (assume a5083 (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))))))
% 19.00/19.18  (assume a5084 (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))))))
% 19.00/19.18  (assume a5085 (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)))))))
% 19.00/19.18  (assume a5086 (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)))))
% 19.00/19.18  (assume a5087 (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))))))
% 19.00/19.18  (assume a5088 (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)))))))
% 19.00/19.18  (assume a5089 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (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.aa_nat_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.aa_nat_Code_integer (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))))))
% 19.00/19.18  (assume a5090 (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))))))
% 19.00/19.18  (assume a5091 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_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))))))
% 19.00/19.18  (assume a5092 (forall ((Y tptp.real) (Z tptp.real) (X2 tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W2) 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 X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a5093 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat) (W2 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 X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W2) 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.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat W2) Y))) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a5094 (forall ((Y tptp.rat) (Z tptp.rat) (X2 tptp.rat) (W2 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 X2) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W2) 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.times_times_rat X2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat W2) Y))) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a5095 (forall ((Y tptp.real) (Z tptp.real) (X2 tptp.real) (W2 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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W2) 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 X2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a5096 (forall ((C tptp.real) (B 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 B) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.00/19.18  (assume a5097 (forall ((C tptp.rat) (B 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 B) 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 B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 19.00/19.18  (assume a5098 (forall ((C tptp.real) (A tptp.real) (B 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 B) 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 B)))))))
% 19.00/19.18  (assume a5099 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 19.00/19.18  (assume a5100 (forall ((C tptp.real) (B 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 B) 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 B)))))))
% 19.00/19.18  (assume a5101 (forall ((C tptp.rat) (B 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 B) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 19.00/19.18  (assume a5102 (forall ((C tptp.real) (A tptp.real) (B 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 B) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.00/19.18  (assume a5103 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) 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 B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 19.00/19.18  (assume a5104 (forall ((B 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 B) 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 B)) (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 B)))) (=> (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)))))))))
% 19.00/19.18  (assume a5105 (forall ((B 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 B) 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 B)) (tptp.aa_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.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (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)))))))))
% 19.00/19.18  (assume a5106 (forall ((A tptp.real) (B 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 B) 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 B)))) (=> (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 B)) (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)))))))))
% 19.00/19.18  (assume a5107 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (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 B)) (tptp.aa_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)))))))))
% 19.00/19.18  (assume a5108 (forall ((B tptp.complex) (C tptp.complex) (W2 tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5109 (forall ((B tptp.real) (C tptp.real) (W2 tptp.num)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2))) (and (=> (not (= C tptp.zero_zero_real)) (= B (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 W2))) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5110 (forall ((B tptp.rat) (C tptp.rat) (W2 tptp.num)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B) C) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) (and (=> (not (= C tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5111 (forall ((W2 tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2))) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W2)) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5112 (forall ((W2 tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2))) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5113 (forall ((W2 tptp.num) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) (tptp.aa_rat_rat (tptp.divide_divide_rat B) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C) B)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5114 (forall ((Z tptp.complex) (X2 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 X2) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X2)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.00/19.18  (assume a5115 (forall ((Z tptp.real) (X2 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 X2) 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 X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.00/19.18  (assume a5116 (forall ((Z tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Z))) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X2)) (tptp.aa_rat_rat (tptp.times_times_rat Y) Z))) Z)))))
% 19.00/19.18  (assume a5117 (forall ((Z tptp.complex) (A tptp.complex) (B 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))) B) B)) (=> (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))) B) (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 B) Z))) Z))))))
% 19.00/19.18  (assume a5118 (forall ((Z tptp.real) (A tptp.real) (B 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))) B) B)) (=> (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))) B) (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 B) Z))) Z))))))
% 19.00/19.18  (assume a5119 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.times_times_rat B) Z))) Z))))))
% 19.00/19.18  (assume a5120 (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)))))))
% 19.00/19.18  (assume a5121 (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)))))))
% 19.00/19.18  (assume a5122 (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)))))))
% 19.00/19.18  (assume a5123 (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.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.00/19.18  (assume a5124 (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.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.power_power_real A) M)) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 19.00/19.18  (assume a5125 (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))))))
% 19.00/19.18  (assume a5126 (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))))))
% 19.00/19.18  (assume a5127 (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)))))))
% 19.00/19.18  (assume a5128 (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)))))))
% 19.00/19.18  (assume a5129 (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)))))))
% 19.00/19.18  (assume a5130 (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))))))
% 19.00/19.18  (assume a5131 (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)))))))
% 19.00/19.18  (assume a5132 (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)))))))
% 19.00/19.18  (assume a5133 (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)))))))))
% 19.00/19.18  (assume a5134 (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))))))
% 19.00/19.18  (assume a5135 (forall ((A2 tptp.int) (B2 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A2) 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.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.divide_divide_int B2) N)) (tptp.aa_int_int (tptp.divide_divide_int A2) N)))))))
% 19.00/19.18  (assume a5136 (forall ((B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) B) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.00/19.18  (assume a5137 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bot_bo6560894463593755925t_bool X) Xa)) (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa) tptp.bot_bo2099793752762293965at_nat))))
% 19.00/19.18  (assume a5138 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.bot_bo8694918001306130243t_bool X) Xa)) (tptp.member373505688050248522BT_nat (tptp.produc738532404422230701BT_nat X Xa) tptp.bot_bo1642239108664514429BT_nat))))
% 19.00/19.18  (assume a5139 (forall ((X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.bot_bo6207810721336151133t_bool X) Xa)) (tptp.member5262025264175285858nt_int (tptp.product_Pair_int_int X Xa) tptp.bot_bo1796632182523588997nt_int))))
% 19.00/19.18  (assume a5140 (forall ((X tptp.code_integer) (Xa tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_Cod8494480694608518558l_bool tptp.bot_bo8679169850809196913l_bool X) Xa)) (tptp.member7941544277139469958r_bool (tptp.produc5135875973608410785r_bool X Xa) tptp.bot_bo3208612889749783737r_bool))))
% 19.00/19.18  (assume a5141 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.bot_bo7217057988103639803r_bool X) Xa)) (tptp.member157494554546826820nteger (tptp.produc1086072967326762835nteger X Xa) tptp.bot_bo4276436098303576167nteger))))
% 19.00/19.18  (assume a5142 (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)))))))
% 19.00/19.18  (assume a5143 (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.plus_plus_rat U) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat R2) (tptp.aa_rat_rat (tptp.minus_minus_rat V) U))) S))) V)))))))
% 19.00/19.18  (assume a5144 (forall ((A tptp.real) (B 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 B) 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 B)))) (=> (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 B)) (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)))))))))
% 19.00/19.18  (assume a5145 (forall ((A tptp.rat) (B 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 B) 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.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (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 B)) (tptp.aa_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)))))))))
% 19.00/19.18  (assume a5146 (forall ((B 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 B) 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 B)) (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 B)))) (=> (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)))))))))
% 19.00/19.18  (assume a5147 (forall ((B 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 B) 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 B)) (tptp.aa_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.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (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)))))))))
% 19.00/19.18  (assume a5148 (forall ((C tptp.real) (A tptp.real) (B 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 B) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.00/19.18  (assume a5149 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) 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 B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 19.00/19.18  (assume a5150 (forall ((C tptp.real) (B 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 B) 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 B)))))))
% 19.00/19.18  (assume a5151 (forall ((C tptp.rat) (B 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 B) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 19.00/19.18  (assume a5152 (forall ((C tptp.real) (A tptp.real) (B 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 B) 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 B)))))))
% 19.00/19.18  (assume a5153 (forall ((C tptp.rat) (A tptp.rat) (B 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 B) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 19.00/19.18  (assume a5154 (forall ((C tptp.real) (B 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 B) 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 B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.00/19.18  (assume a5155 (forall ((C tptp.rat) (B 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 B) 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 B)) (tptp.aa_rat_rat (tptp.times_times_rat A) C)))))))
% 19.00/19.18  (assume a5156 (forall ((W2 tptp.num) (B 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 W2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2))) C)) B))) (=> (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 B) (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 W2))) 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 W2))) tptp.zero_zero_real)))))))))
% 19.00/19.18  (assume a5157 (forall ((W2 tptp.num) (B 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 W2))) (tptp.aa_rat_rat (tptp.divide_divide_rat B) 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.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C)) B))) (=> (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) 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 W2))) tptp.zero_zero_rat)))))))))
% 19.00/19.18  (assume a5158 (forall ((B tptp.real) (C tptp.real) (W2 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 B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (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 B) (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 W2))) 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 W2))) C)) B))) (=> (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 W2)))))))))))
% 19.00/19.18  (assume a5159 (forall ((B tptp.rat) (C tptp.rat) (W2 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 B) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) 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.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C)) B))) (=> (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 W2)))))))))))
% 19.00/19.18  (assume a5160 (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.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)))))))))))
% 19.00/19.18  (assume a5161 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_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.aa_nat_fun_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.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_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.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.00/19.18  (assume a5162 (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)))))
% 19.00/19.18  (assume a5163 (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)))))
% 19.00/19.18  (assume a5164 (forall ((N tptp.nat) (M tptp.nat)) (=> (not (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_z3403309356797280102nteger)) (not (= (tptp.aa_nat_Code_integer (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.zero_z3403309356797280102nteger)))))
% 19.00/19.18  (assume a5165 (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)))))))))
% 19.00/19.18  (assume a5166 (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.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.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.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)))))))))
% 19.00/19.18  (assume a5167 (forall ((M tptp.nat) (P3 tptp.complex)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex P3) M) tptp.one_one_complex)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex P3) M) (tptp.aa_complex_complex (tptp.times_times_complex P3) (tptp.aa_nat_complex (tptp.power_power_complex P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.00/19.18  (assume a5168 (forall ((M tptp.nat) (P3 tptp.real)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.power_power_real P3) M) tptp.one_one_real)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.power_power_real P3) M) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real P3) (tptp.aa_nat_real (tptp.power_power_real P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.00/19.18  (assume a5169 (forall ((M tptp.nat) (P3 tptp.rat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.power_power_rat P3) M) tptp.one_one_rat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat P3) M) (tptp.aa_rat_rat (tptp.times_times_rat P3) (tptp.aa_nat_rat (tptp.power_power_rat P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.00/19.18  (assume a5170 (forall ((M tptp.nat) (P3 tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P3) 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 P3) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.00/19.18  (assume a5171 (forall ((M tptp.nat) (P3 tptp.int)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int P3) M) tptp.one_one_int)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int P3) M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P3) (tptp.aa_nat_int (tptp.power_power_int P3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.00/19.18  (assume a5172 (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)))))
% 19.00/19.18  (assume a5173 (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.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.power_power_real A) N)))))
% 19.00/19.18  (assume a5174 (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.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)))))
% 19.00/19.18  (assume a5175 (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)))))
% 19.00/19.18  (assume a5176 (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)))))
% 19.00/19.18  (assume a5177 (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)))))))
% 19.00/19.18  (assume a5178 (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)))))))
% 19.00/19.18  (assume a5179 (forall ((P tptp.fun_Co8822979462182099027r_bool) (A tptp.code_integer)) (=> (forall ((A3 tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A3 (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_Code_integer_bool P A3)))) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_Code_integer_bool P A3)) (=> (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.zero_n356916108424825756nteger B3) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) A3)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.plus_p5714425477246183910nteger (tptp.zero_n356916108424825756nteger B3) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) A3))))))) (tptp.pp (tptp.aa_Code_integer_bool P A))))))
% 19.00/19.18  (assume a5180 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((A3 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_nat_bool P A3)))) (=> (forall ((A3 tptp.nat) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool P A3)) (=> (= (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 B3)) (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))) A3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (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 B3)) (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))) A3))))))) (tptp.pp (tptp.aa_nat_bool P A))))))
% 19.00/19.18  (assume a5181 (forall ((P tptp.fun_int_bool) (A tptp.int)) (=> (forall ((A3 tptp.int)) (=> (= (tptp.aa_int_int (tptp.divide_divide_int A3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_int_bool P A3)))) (=> (forall ((A3 tptp.int) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool P A3)) (=> (= (tptp.aa_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 B3)) (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))) A3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (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 B3)) (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))) A3))))))) (tptp.pp (tptp.aa_int_bool P A))))))
% 19.00/19.18  (assume a5182 (forall ((B tptp.real) (C tptp.real) (W2 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 B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W2)))) (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 B) (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 W2))) 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 W2))) C)) B))) (=> (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 W2)))))))))))
% 19.00/19.18  (assume a5183 (forall ((B tptp.rat) (C tptp.rat) (W2 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 B) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2)))) (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) 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.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C)) B))) (=> (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 W2)))))))))))
% 19.00/19.18  (assume a5184 (forall ((W2 tptp.num) (B 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 W2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) 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 W2))) C)) B))) (=> (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 B) (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 W2))) 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 W2))) tptp.zero_zero_real)))))))))
% 19.00/19.18  (assume a5185 (forall ((W2 tptp.num) (B 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 W2))) (tptp.aa_rat_rat (tptp.divide_divide_rat B) 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.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) C)) B))) (=> (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 B) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W2))) 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 W2))) tptp.zero_zero_rat)))))))))
% 19.00/19.18  (assume a5186 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 19.00/19.18  (assume a5187 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X2) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer))))))
% 19.00/19.18  (assume a5188 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat))))))
% 19.00/19.18  (assume a5189 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) 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 X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))))
% 19.00/19.18  (assume a5190 (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.divide_divide_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.00/19.18  (assume a5191 (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.aa_nat_fun_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)))))))
% 19.00/19.18  (assume a5192 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)))))
% 19.00/19.18  (assume a5193 (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)))))
% 19.00/19.18  (assume a5194 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_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)))))
% 19.00/19.18  (assume a5195 (forall ((X2 tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) 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 X2) (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))) X2)) Y)))))
% 19.00/19.18  (assume a5196 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) 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.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (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.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X2)) Y)))))
% 19.00/19.18  (assume a5197 (forall ((X2 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 X2) 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 X2) (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))) X2)) Y)))))
% 19.00/19.18  (assume a5198 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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))) X2)) Y)))))
% 19.00/19.18  (assume a5199 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.minus_8373710615458151222nteger X2 Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.minus_8373710615458151222nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.times_3573771949741848930nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) X2) Y)))))
% 19.00/19.18  (assume a5200 (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.times_3573771949741848930nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))
% 19.00/19.18  (assume a5201 (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))))))
% 19.00/19.18  (assume a5202 (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.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.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))))))
% 19.00/19.18  (assume a5203 (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.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))))))))
% 19.00/19.18  (assume a5204 (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.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int N) K) K)))))
% 19.00/19.18  (assume a5205 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_nat_fun_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)))))))
% 19.00/19.18  (assume a5206 (forall ((A tptp.code_integer) (B 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) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B)))) (= (tptp.minus_8373710615458151222nteger (tptp.modulo364778990260209775nteger A (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) B)) B) (tptp.modulo364778990260209775nteger A B)))))))
% 19.00/19.18  (assume a5207 (forall ((A tptp.nat) (B 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) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (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))) B)))) (= (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))) B))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)))))))
% 19.00/19.18  (assume a5208 (forall ((A tptp.int) (B 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) (tptp.aa_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))) B)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_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))) B))) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)))))))
% 19.00/19.18  (assume a5209 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M) tptp.one_one_Code_integer) (tptp.aa_nat_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)))))
% 19.00/19.18  (assume a5210 (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)))))
% 19.00/19.18  (assume a5211 (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.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)))))
% 19.00/19.18  (assume a5212 (forall ((X2 tptp.fun_Pr2602117396471556196at_nat)) (= (tptp.size_o8335143837870341156at_nat X2 tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5213 (forall ((X2 tptp.fun_num_nat)) (= (tptp.size_option_num X2 tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5214 (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))))))))
% 19.00/19.18  (assume a5215 (forall ((X tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.bot_bo1239524807443452474T_bool X)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) tptp.bot_bo8194388402131092736T_VEBT)))))
% 19.00/19.18  (assume a5216 (forall ((X tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.bot_bo8343409700046576086t_bool X)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X) tptp.bot_bot_set_set_nat)))))
% 19.00/19.18  (assume a5217 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.bot_bo4181092155253064880l_bool X)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a5218 (forall ((X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.bot_bot_fun_nat_bool X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a5219 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool tptp.bot_bot_fun_int_bool X)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a5220 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M) tptp.one_one_Code_integer) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_Code_integer (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))))))
% 19.00/19.18  (assume a5221 (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))))))
% 19.00/19.18  (assume a5222 (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.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))))))
% 19.00/19.18  (assume a5223 (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.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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) Q2) R2))))))
% 19.00/19.18  (assume a5224 (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))))))
% 19.00/19.18  (assume a5225 (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))))))
% 19.00/19.18  (assume a5226 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.vEBT_VEBT_set_vebt T)) (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)))))))
% 19.00/19.18  (assume a5227 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.artanh_real X2) (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) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a5228 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int X2)) (tptp.uminus1532241313380277803et_int Y))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) X2)))))
% 19.00/19.18  (assume a5229 (forall ((A2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 A2) tptp.bot_bot_set_real)))
% 19.00/19.18  (assume a5230 (forall ((A2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 A2) tptp.bot_bot_set_int)))
% 19.00/19.18  (assume a5231 (forall ((A2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 A2) tptp.bot_bot_set_nat)))
% 19.00/19.18  (assume a5232 (forall ((A2 tptp.set_real)) (= (tptp.minus_minus_set_real tptp.bot_bot_set_real A2) tptp.bot_bot_set_real)))
% 19.00/19.18  (assume a5233 (forall ((A2 tptp.set_int)) (= (tptp.minus_minus_set_int tptp.bot_bot_set_int A2) tptp.bot_bot_set_int)))
% 19.00/19.18  (assume a5234 (forall ((A2 tptp.set_nat)) (= (tptp.minus_minus_set_nat tptp.bot_bot_set_nat A2) tptp.bot_bot_set_nat)))
% 19.00/19.18  (assume a5235 (forall ((A2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 tptp.bot_bot_set_real) A2)))
% 19.00/19.18  (assume a5236 (forall ((A2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 tptp.bot_bot_set_int) A2)))
% 19.00/19.18  (assume a5237 (forall ((A2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 tptp.bot_bot_set_nat) A2)))
% 19.00/19.18  (assume a5238 (forall ((B2 tptp.set_int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A2 B2))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))))))
% 19.00/19.18  (assume a5239 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A2 B2))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))))))
% 19.00/19.18  (assume a5240 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat A2 B2))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))))))
% 19.00/19.18  (assume a5241 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A2 B2))))))
% 19.00/19.18  (assume a5242 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A2 B2))))))
% 19.00/19.18  (assume a5243 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat A2 B2))))))
% 19.00/19.18  (assume a5244 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int A2)) (tptp.uminus1532241313380277803et_int B2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)))))
% 19.00/19.18  (assume a5245 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int B2)) (tptp.uminus1532241313380277803et_int A2))))))
% 19.00/19.18  (assume a5246 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (= (tptp.minus_minus_set_real A2 B2) tptp.bot_bot_set_real) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))
% 19.00/19.18  (assume a5247 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (= (tptp.minus_minus_set_nat A2 B2) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)))))
% 19.00/19.18  (assume a5248 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (= (tptp.minus_minus_set_int A2 B2) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))
% 19.00/19.18  (assume a5249 (forall ((I tptp.set_nat) (L tptp.set_nat) (U tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat I) (tptp.set_or4548717258645045905et_nat L U))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat L) I)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat I) U))))))
% 19.00/19.18  (assume a5250 (forall ((I tptp.set_int) (L tptp.set_int) (U tptp.set_int)) (= (tptp.member_set_int I (tptp.set_or370866239135849197et_int L U)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int L) I)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int I) U))))))
% 19.00/19.18  (assume a5251 (forall ((I tptp.rat) (L tptp.rat) (U tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (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))))))
% 19.00/19.18  (assume a5252 (forall ((I tptp.num) (L tptp.num) (U tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (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))))))
% 19.00/19.18  (assume a5253 (forall ((I tptp.nat) (L tptp.nat) (U tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) (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))))))
% 19.00/19.18  (assume a5254 (forall ((I tptp.int) (L tptp.int) (U tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (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))))))
% 19.00/19.18  (assume a5255 (forall ((I tptp.real) (L tptp.real) (U tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (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))))))
% 19.00/19.18  (assume a5256 (forall ((L tptp.set_int) (H tptp.set_int) (L2 tptp.set_int) (H2 tptp.set_int)) (= (= (tptp.set_or370866239135849197et_int L H) (tptp.set_or370866239135849197et_int L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int L) H))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int L2) H2))))))))
% 19.00/19.18  (assume a5257 (forall ((L tptp.rat) (H tptp.rat) (L2 tptp.rat) (H2 tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat L H) (tptp.set_or633870826150836451st_rat L2 H2)) (or (and (= L L2) (= 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 L2) H2))))))))
% 19.00/19.18  (assume a5258 (forall ((L tptp.num) (H tptp.num) (L2 tptp.num) (H2 tptp.num)) (= (= (tptp.set_or7049704709247886629st_num L H) (tptp.set_or7049704709247886629st_num L2 H2)) (or (and (= L L2) (= 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 L2) H2))))))))
% 19.00/19.18  (assume a5259 (forall ((L tptp.nat) (H tptp.nat) (L2 tptp.nat) (H2 tptp.nat)) (= (= (tptp.set_or1269000886237332187st_nat L H) (tptp.set_or1269000886237332187st_nat L2 H2)) (or (and (= L L2) (= 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 L2) H2))))))))
% 19.00/19.18  (assume a5260 (forall ((L tptp.int) (H tptp.int) (L2 tptp.int) (H2 tptp.int)) (= (= (tptp.set_or1266510415728281911st_int L H) (tptp.set_or1266510415728281911st_int L2 H2)) (or (and (= L L2) (= 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 L2) H2))))))))
% 19.00/19.18  (assume a5261 (forall ((L tptp.real) (H tptp.real) (L2 tptp.real) (H2 tptp.real)) (= (= (tptp.set_or1222579329274155063t_real L H) (tptp.set_or1222579329274155063t_real L2 H2)) (or (and (= L L2) (= 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 L2) H2))))))))
% 19.00/19.18  (assume a5262 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2) (tptp.aa_real_real tptp.ln_ln_real Y)) (= X2 Y))))))
% 19.00/19.18  (assume a5263 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))))
% 19.00/19.18  (assume a5264 (forall ((L tptp.nat) (U tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_or1269000886237332187st_nat L U)))))
% 19.00/19.18  (assume a5265 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= (tptp.set_or370866239135849197et_int A B) tptp.bot_bot_set_set_int) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))))))
% 19.00/19.18  (assume a5266 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat A B) tptp.bot_bot_set_rat) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 19.00/19.18  (assume a5267 (forall ((A tptp.num) (B tptp.num)) (= (= (tptp.set_or7049704709247886629st_num A B) tptp.bot_bot_set_num) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 19.00/19.18  (assume a5268 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.set_or1269000886237332187st_nat A B) tptp.bot_bot_set_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 19.00/19.18  (assume a5269 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.set_or1266510415728281911st_int A B) tptp.bot_bot_set_int) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 19.00/19.18  (assume a5270 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.set_or1222579329274155063t_real A B) tptp.bot_bot_set_real) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 19.00/19.18  (assume a5271 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= tptp.bot_bot_set_set_int (tptp.set_or370866239135849197et_int A B)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))))))
% 19.00/19.18  (assume a5272 (forall ((A tptp.rat) (B tptp.rat)) (= (= tptp.bot_bot_set_rat (tptp.set_or633870826150836451st_rat A B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 19.00/19.18  (assume a5273 (forall ((A tptp.num) (B tptp.num)) (= (= tptp.bot_bot_set_num (tptp.set_or7049704709247886629st_num A B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 19.00/19.18  (assume a5274 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.bot_bot_set_nat (tptp.set_or1269000886237332187st_nat A B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 19.00/19.18  (assume a5275 (forall ((A tptp.int) (B tptp.int)) (= (= tptp.bot_bot_set_int (tptp.set_or1266510415728281911st_int A B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 19.00/19.18  (assume a5276 (forall ((A tptp.real) (B tptp.real)) (= (= tptp.bot_bot_set_real (tptp.set_or1222579329274155063t_real A B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 19.00/19.18  (assume a5277 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int) (D tptp.set_int)) (= (tptp.ord_le4403425263959731960et_int (tptp.set_or370866239135849197et_int A B) (tptp.set_or370866239135849197et_int C D)) (or (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) A)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) D)))))))
% 19.00/19.18  (assume a5278 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_or633870826150836451st_rat A B)) (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) B))) (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 B) D)))))))
% 19.00/19.18  (assume a5279 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_or7049704709247886629st_num A B)) (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) B))) (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 B) D)))))))
% 19.00/19.18  (assume a5280 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_or1269000886237332187st_nat A B)) (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) B))) (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 B) D)))))))
% 19.00/19.18  (assume a5281 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_or1266510415728281911st_int A B)) (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) B))) (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 B) D)))))))
% 19.00/19.18  (assume a5282 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or1222579329274155063t_real A B)) (tptp.set_or1222579329274155063t_real C D))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (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 B) D)))))))
% 19.00/19.18  (assume a5283 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (= (tptp.set_or633870826150836451st_rat A B) tptp.bot_bot_set_rat))))
% 19.00/19.18  (assume a5284 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (= (tptp.set_or7049704709247886629st_num A B) tptp.bot_bot_set_num))))
% 19.00/19.18  (assume a5285 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= (tptp.set_or1269000886237332187st_nat A B) tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a5286 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (= (tptp.set_or1266510415728281911st_int A B) tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a5287 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (= (tptp.set_or1222579329274155063t_real A B) tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a5288 (forall ((A tptp.rat) (B tptp.rat)) (= (not (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat (tptp.set_or633870826150836451st_rat A B)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 19.00/19.18  (assume a5289 (forall ((A tptp.real) (B tptp.real)) (= (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.set_or1222579329274155063t_real A B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 19.00/19.18  (assume a5290 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))))
% 19.00/19.18  (assume a5291 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real))))))
% 19.00/19.18  (assume a5292 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2))))))
% 19.00/19.18  (assume a5293 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (= (tptp.aa_real_real tptp.ln_ln_real X2) tptp.zero_zero_real) (= X2 tptp.one_one_real)))))
% 19.00/19.18  (assume a5294 (= (tptp.aa_real_real tptp.ln_ln_real tptp.one_one_real) tptp.zero_zero_real))
% 19.00/19.18  (assume a5295 (forall ((W2 tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W2) (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 W2) Z)))))
% 19.00/19.18  (assume a5296 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.one_one_real))))))
% 19.00/19.18  (assume a5297 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X2))))))
% 19.00/19.18  (assume a5298 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 19.00/19.18  (assume a5299 (forall ((T3 tptp.set_int) (S2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int S2 T3))))))))
% 19.00/19.18  (assume a5300 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex S2 T3))))))))
% 19.00/19.18  (assume a5301 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat S2 T3))))))))
% 19.00/19.18  (assume a5302 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) C4)) (= (tptp.minus_minus_set_nat B2 (tptp.minus_minus_set_nat C4 A2)) A2)))))
% 19.00/19.18  (assume a5303 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (C4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) C4)) (= (tptp.minus_minus_set_int B2 (tptp.minus_minus_set_int C4 A2)) A2)))))
% 19.00/19.18  (assume a5304 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 B2)) A2))))
% 19.00/19.18  (assume a5305 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A2 B2)) A2))))
% 19.00/19.18  (assume a5306 (forall ((A2 tptp.set_nat) (C4 tptp.set_nat) (D5 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) C4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat D5) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 B2)) (tptp.minus_minus_set_nat C4 D5)))))))
% 19.00/19.18  (assume a5307 (forall ((A2 tptp.set_int) (C4 tptp.set_int) (D5 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) C4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int D5) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A2 B2)) (tptp.minus_minus_set_int C4 D5)))))))
% 19.00/19.18  (assume a5308 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.zero_zero_int) K)))
% 19.00/19.18  (assume a5309 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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) X2))) (tptp.aa_real_real tptp.uminus_uminus_real X2)))))))
% 19.00/19.18  (assume a5310 (forall ((W2 tptp.int) (Z1 tptp.int) (Z22 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W2) (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 W2) Z1)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W2) Z22)))))
% 19.00/19.18  (assume a5311 (forall ((Z1 tptp.int) (Z22 tptp.int) (W2 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)) W2) (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) W2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z22) W2)))))
% 19.00/19.18  (assume a5312 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT A2) B2)) (exists ((B3 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2)))))))
% 19.00/19.18  (assume a5313 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2)) (exists ((B3 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B2 A2)))))))
% 19.00/19.18  (assume a5314 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat A2) B2)) (exists ((B3 tptp.set_nat)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B3) (tptp.minus_2163939370556025621et_nat B2 A2)))))))
% 19.00/19.18  (assume a5315 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (exists ((B3 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2)))))))
% 19.00/19.18  (assume a5316 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) B2)) (exists ((B3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) (tptp.minus_minus_set_nat B2 A2)))))))
% 19.00/19.18  (assume a5317 (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))))))
% 19.00/19.18  (assume a5318 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2)) (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 X2) Y)) Y)))))))
% 19.00/19.18  (assume a5319 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (= (tptp.aa_real_real tptp.ln_ln_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) tptp.one_one_real)) (= X2 tptp.one_one_real)))))
% 19.00/19.18  (assume a5320 (forall ((X2 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)) X2)) (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) X2))) X2)))))
% 19.00/19.18  (assume a5321 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) tptp.one_one_real))))))
% 19.00/19.18  (assume a5322 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat (tptp.set_or633870826150836451st_rat A B)))))))
% 19.00/19.18  (assume a5323 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.set_or1222579329274155063t_real A B)))))))
% 19.00/19.18  (assume a5324 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X2)) X2)))))
% 19.00/19.18  (assume a5325 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N)) (tptp.pp (tptp.aa_nat_bool P M4)))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 19.00/19.18  (assume a5326 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N)) (tptp.pp (tptp.aa_nat_bool P M4)))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 19.00/19.18  (assume a5327 (forall ((A2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.uminus612125837232591019t_real A2))) (= A2 tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a5328 (forall ((A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.uminus5710092332889474511et_nat A2))) (= A2 tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a5329 (forall ((A2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.uminus1532241313380277803et_int A2))) (= A2 tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a5330 (forall ((X2 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 X2) 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 X2))))))
% 19.00/19.18  (assume a5331 (forall ((X2 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 X2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real X2)) Y)))))
% 19.00/19.18  (assume a5332 (forall ((N4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat N4) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)))))
% 19.00/19.18  (assume a5333 (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))))
% 19.00/19.18  (assume a5334 (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)))))))
% 19.00/19.18  (assume a5335 (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)))))))
% 19.00/19.18  (assume a5336 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X2)) X2)))))
% 19.00/19.18  (assume a5337 (forall ((X2 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 X2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2))))))
% 19.00/19.18  (assume a5338 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5339 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (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 X2))))))
% 19.00/19.18  (assume a5340 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 19.00/19.18  (assume a5341 (forall ((A tptp.set_int) (B tptp.set_int) (C tptp.set_int) (D tptp.set_int)) (= (tptp.ord_less_set_set_int (tptp.set_or370866239135849197et_int A B) (tptp.set_or370866239135849197et_int C D)) (and (or (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) B))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) A)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B) D)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int C) A)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int B) D))))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C) D))))))
% 19.00/19.18  (assume a5342 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_set_rat (tptp.set_or633870826150836451st_rat A B)) (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) B))) (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 B) 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 B) D))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 19.00/19.18  (assume a5343 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_set_num (tptp.set_or7049704709247886629st_num A B)) (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) B))) (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 B) 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 B) D))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) D))))))
% 19.00/19.18  (assume a5344 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat (tptp.set_or1269000886237332187st_nat A B)) (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) B))) (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 B) 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 B) D))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D))))))
% 19.00/19.18  (assume a5345 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.set_or1266510415728281911st_int A B)) (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) B))) (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 B) 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 B) D))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 19.00/19.18  (assume a5346 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.set_or1222579329274155063t_real A B)) (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) B))) (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 B) 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 B) D))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 19.00/19.18  (assume a5347 (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 ((X4 tptp.int) (K3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P1 X4)) (tptp.pp (tptp.aa_int_bool P1 (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 K3) D)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P1 X4)))))) (=> (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)))))))))
% 19.00/19.18  (assume a5348 (forall ((D tptp.int) (P2 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 ((X4 tptp.int) (K3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P2 X4)) (tptp.pp (tptp.aa_int_bool P2 (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 K3) D)))))) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (exists ((X_12 tptp.int)) (tptp.pp (tptp.aa_int_bool P2 X_12))) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_1)))))))))
% 19.00/19.18  (assume a5349 (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)))))))
% 19.00/19.18  (assume a5350 (forall ((X2 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 X2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X2))))))
% 19.00/19.18  (assume a5351 (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 ((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) D))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool P (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 K) D)))))))))))
% 19.00/19.18  (assume a5352 (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.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)) L))))))
% 19.00/19.18  (assume a5353 (forall ((B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) tptp.one_one_int)))))
% 19.00/19.18  (assume a5354 (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.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_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))))))
% 19.00/19.18  (assume a5355 (forall ((Y tptp.set_int) (X2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int Y)) X2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int X2)) Y)))))
% 19.00/19.18  (assume a5356 (forall ((Y tptp.set_int) (X2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Y) (tptp.uminus1532241313380277803et_int X2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) (tptp.uminus1532241313380277803et_int Y))))))
% 19.00/19.18  (assume a5357 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.uminus1532241313380277803et_int Y)) (tptp.uminus1532241313380277803et_int X2))))))
% 19.00/19.18  (assume a5358 (forall ((X2 tptp.nat)) (=> (not (= X2 tptp.zero_zero_nat)) (not (forall ((N2 tptp.nat)) (not (= X2 (tptp.aa_nat_nat tptp.suc N2))))))))
% 19.00/19.18  (assume a5359 (forall ((X2 tptp.set_real) (Y tptp.set_real)) (= (= (tptp.minus_minus_set_real X2 Y) tptp.bot_bot_set_real) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X2) Y)))))
% 19.00/19.18  (assume a5360 (forall ((X2 tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.minus_minus_set_nat X2 Y) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat X2) Y)))))
% 19.00/19.18  (assume a5361 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (= (tptp.minus_minus_set_int X2 Y) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)))))
% 19.00/19.18  (assume a5362 (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)))
% 19.00/19.18  (assume a5363 (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.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.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.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_complex)))))))))
% 19.00/19.18  (assume a5364 (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.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.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.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_int)))))))))
% 19.00/19.18  (assume a5365 (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.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.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.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_real)))))))))
% 19.00/19.18  (assume a5366 (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.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.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.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.plus_plus_rat (tptp.aa_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.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_rat)))))))))
% 19.00/19.18  (assume a5367 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_Code_integer 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.aa_int_Code_integer tptp.ring_18347121197199848620nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_int_Code_integer 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.aa_int_Code_integer 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.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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_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)))))))))
% 19.00/19.18  (assume a5368 (forall ((A tptp.real) (B tptp.real) (P tptp.fun_re1255401033344146673l_bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (forall ((A3 tptp.real) (B3 tptp.real) (C3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P B3) C3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A3) B3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B3) C3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) C3))))))) (=> (forall ((X4 tptp.real)) (=> (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) B)) (exists ((D3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D3)) (forall ((A3 tptp.real) (B3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A3) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) B3)) (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 B3) A3)) D3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3))))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A) B)))))))
% 19.00/19.18  (assume a5369 (forall ((X2 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) (tptp.nat_set_decode X2))) (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))) X2))))))
% 19.00/19.18  (assume a5370 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_el L) Qr))))
% 19.00/19.18  (assume a5371 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.unique5024387138958732305ep_int L Qr) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_em L) Qr))))
% 19.00/19.18  (assume a5372 (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_en L)) Qr))))
% 19.00/19.18  (assume a5373 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (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 A2))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))))))
% 19.00/19.18  (assume a5374 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.minus_minus_set_nat (tptp.minus_minus_set_nat A2 B2) B2) (tptp.minus_minus_set_nat A2 B2))))
% 19.00/19.18  (assume a5375 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.minus_5127226145743854075T_VEBT A2 B2))) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2)))))))
% 19.00/19.18  (assume a5376 (forall ((C tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A2 B2))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2)))))))
% 19.00/19.18  (assume a5377 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.minus_2163939370556025621et_nat A2 B2))) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2)))))))
% 19.00/19.18  (assume a5378 (forall ((C tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A2 B2))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2)))))))
% 19.00/19.18  (assume a5379 (forall ((C tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.minus_minus_set_nat A2 B2))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2)))))))
% 19.00/19.18  (assume a5380 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.minus_5127226145743854075T_VEBT A2 B2)))))))
% 19.00/19.18  (assume a5381 (forall ((C tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A2 B2)))))))
% 19.00/19.18  (assume a5382 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.minus_2163939370556025621et_nat A2 B2)))))))
% 19.00/19.18  (assume a5383 (forall ((C tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A2 B2)))))))
% 19.00/19.18  (assume a5384 (forall ((C tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.minus_minus_set_nat A2 B2)))))))
% 19.00/19.18  (assume a5385 (forall ((W2 tptp.int) (Z tptp.int)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real W2) (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (= W2 Z))))
% 19.00/19.18  (assume a5386 (forall ((W2 tptp.int) (Z tptp.int)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat W2) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (= W2 Z))))
% 19.00/19.18  (assume a5387 (forall ((C tptp.nat) (A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A2))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2))))))
% 19.00/19.18  (assume a5388 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.uminus8041839845116263051T_VEBT A2))) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2))))))
% 19.00/19.18  (assume a5389 (forall ((C tptp.int) (A2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A2))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2))))))
% 19.00/19.18  (assume a5390 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.uminus613421341184616069et_nat A2))) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2))))))
% 19.00/19.18  (assume a5391 (forall ((C tptp.real) (A2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A2))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2))))))
% 19.00/19.18  (assume a5392 (forall ((C tptp.nat) (A2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A2))))))
% 19.00/19.18  (assume a5393 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.uminus8041839845116263051T_VEBT A2))))))
% 19.00/19.18  (assume a5394 (forall ((C tptp.int) (A2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A2))))))
% 19.00/19.18  (assume a5395 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.uminus613421341184616069et_nat A2))))))
% 19.00/19.18  (assume a5396 (forall ((C tptp.real) (A2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A2))))))
% 19.00/19.18  (assume a5397 (forall ((L tptp.int) (U tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_or1266510415728281911st_int L U)))))
% 19.00/19.18  (assume a5398 (forall ((P tptp.bool)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.zero_n3304061248610475627l_real P))))
% 19.00/19.18  (assume a5399 (forall ((P tptp.bool)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.zero_n2052037380579107095ol_rat P))))
% 19.00/19.18  (assume a5400 (forall ((P tptp.bool)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P))))
% 19.00/19.18  (assume a5401 (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex tptp.zero_zero_int) tptp.zero_zero_complex))
% 19.00/19.18  (assume a5402 (= (tptp.aa_int_int tptp.ring_1_of_int_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.00/19.18  (assume a5403 (= (tptp.aa_int_real tptp.ring_1_of_int_real tptp.zero_zero_int) tptp.zero_zero_real))
% 19.00/19.18  (assume a5404 (= (tptp.aa_int_rat tptp.ring_1_of_int_rat tptp.zero_zero_int) tptp.zero_zero_rat))
% 19.00/19.18  (assume a5405 (forall ((Z tptp.int)) (= (= tptp.zero_zero_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z)) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5406 (forall ((Z tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5407 (forall ((Z tptp.int)) (= (= tptp.zero_zero_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5408 (forall ((Z tptp.int)) (= (= tptp.zero_zero_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5409 (forall ((Z tptp.int)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) tptp.zero_zero_complex) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5410 (forall ((Z tptp.int)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) tptp.zero_zero_int) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5411 (forall ((Z tptp.int)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) tptp.zero_zero_real) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5412 (forall ((Z tptp.int)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Z) tptp.zero_zero_rat) (= Z tptp.zero_zero_int))))
% 19.00/19.18  (assume a5413 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5414 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5415 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5416 (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)))))
% 19.00/19.18  (assume a5417 (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)))))
% 19.00/19.18  (assume a5418 (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)))))
% 19.00/19.18  (assume a5419 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Z) (tptp.numera6620942414471956472nteger N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.00/19.18  (assume a5420 (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))))
% 19.00/19.18  (assume a5421 (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))))
% 19.00/19.18  (assume a5422 (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))))
% 19.00/19.18  (assume a5423 (forall ((K tptp.num)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.numera6620942414471956472nteger K))))
% 19.00/19.18  (assume a5424 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5425 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5426 (forall ((W2 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 W2)) (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 W2) Z)))))
% 19.00/19.18  (assume a5427 (forall ((Z tptp.int)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) tptp.one_one_complex) (= Z tptp.one_one_int))))
% 19.00/19.18  (assume a5428 (forall ((Z tptp.int)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) tptp.one_one_int) (= Z tptp.one_one_int))))
% 19.00/19.18  (assume a5429 (forall ((Z tptp.int)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) tptp.one_one_real) (= Z tptp.one_one_int))))
% 19.00/19.18  (assume a5430 (forall ((Z tptp.int)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Z) tptp.one_one_rat) (= Z tptp.one_one_int))))
% 19.00/19.18  (assume a5431 (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex tptp.one_one_int) tptp.one_one_complex))
% 19.00/19.18  (assume a5432 (= (tptp.aa_int_int tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int))
% 19.00/19.18  (assume a5433 (= (tptp.aa_int_real tptp.ring_1_of_int_real tptp.one_one_int) tptp.one_one_real))
% 19.00/19.18  (assume a5434 (= (tptp.aa_int_rat tptp.ring_1_of_int_rat tptp.one_one_int) tptp.one_one_rat))
% 19.00/19.18  (assume a5435 (forall ((W2 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 W2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real W2)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.00/19.18  (assume a5436 (forall ((W2 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 W2) Z)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.00/19.18  (assume a5437 (forall ((W2 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 W2) 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 W2)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.00/19.18  (assume a5438 (forall ((W2 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 W2) 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 W2)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.00/19.18  (assume a5439 (forall ((W2 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 W2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real W2)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.00/19.18  (assume a5440 (forall ((W2 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 W2) Z)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.00/19.18  (assume a5441 (forall ((Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.uminus_uminus_int Z)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.00/19.18  (assume a5442 (forall ((Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.uminus_uminus_int Z)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.00/19.18  (assume a5443 (forall ((Z tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.uminus_uminus_int Z)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.00/19.18  (assume a5444 (forall ((Z tptp.int)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.uminus_uminus_int Z)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Z)))))
% 19.00/19.18  (assume a5445 (forall ((W2 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 W2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real W2)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.00/19.18  (assume a5446 (forall ((W2 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 W2) Z)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.00/19.18  (assume a5447 (forall ((W2 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 W2) 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 W2)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.00/19.18  (assume a5448 (forall ((X2 tptp.int) (B tptp.int) (W2 tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat X2) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W2)) (= X2 (tptp.aa_nat_int (tptp.power_power_int B) W2)))))
% 19.00/19.18  (assume a5449 (forall ((X2 tptp.int) (B tptp.int) (W2 tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real X2) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2)) (= X2 (tptp.aa_nat_int (tptp.power_power_int B) W2)))))
% 19.00/19.18  (assume a5450 (forall ((X2 tptp.int) (B tptp.int) (W2 tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int X2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W2)) (= X2 (tptp.aa_nat_int (tptp.power_power_int B) W2)))))
% 19.00/19.18  (assume a5451 (forall ((X2 tptp.int) (B tptp.int) (W2 tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X2) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W2)) (= X2 (tptp.aa_nat_int (tptp.power_power_int B) W2)))))
% 19.00/19.18  (assume a5452 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W2) (tptp.aa_int_rat tptp.ring_1_of_int_rat X2)) (= (tptp.aa_nat_int (tptp.power_power_int B) W2) X2))))
% 19.00/19.18  (assume a5453 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2) (tptp.aa_int_real tptp.ring_1_of_int_real X2)) (= (tptp.aa_nat_int (tptp.power_power_int B) W2) X2))))
% 19.00/19.18  (assume a5454 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W2) (tptp.aa_int_int tptp.ring_1_of_int_int X2)) (= (tptp.aa_nat_int (tptp.power_power_int B) W2) X2))))
% 19.00/19.18  (assume a5455 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W2) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X2)) (= (tptp.aa_nat_int (tptp.power_power_int B) W2) X2))))
% 19.00/19.18  (assume a5456 (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))))
% 19.00/19.18  (assume a5457 (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.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) N))))
% 19.00/19.18  (assume a5458 (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))))
% 19.00/19.18  (assume a5459 (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))))
% 19.00/19.18  (assume a5460 (= (tptp.nat_set_decode tptp.zero_zero_nat) tptp.bot_bot_set_nat))
% 19.00/19.18  (assume a5461 (= (tptp.aa_set_nat_nat tptp.nat_set_encode tptp.bot_bot_set_nat) tptp.zero_zero_nat))
% 19.00/19.18  (assume a5462 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.nat_set_decode (tptp.aa_set_nat_nat tptp.nat_set_encode A2)) A2))))
% 19.00/19.18  (assume a5463 (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)))))
% 19.00/19.18  (assume a5464 (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)))))
% 19.00/19.18  (assume a5465 (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)))))
% 19.00/19.18  (assume a5466 (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)))))
% 19.00/19.18  (assume a5467 (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)))))
% 19.00/19.18  (assume a5468 (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)))))
% 19.00/19.18  (assume a5469 (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)))))
% 19.00/19.18  (assume a5470 (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)))))
% 19.00/19.18  (assume a5471 (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)))))
% 19.00/19.18  (assume a5472 (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)))))
% 19.00/19.18  (assume a5473 (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)))))
% 19.00/19.18  (assume a5474 (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)))))
% 19.00/19.18  (assume a5475 (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))))))
% 19.00/19.18  (assume a5476 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Z)) (tptp.numera6620942414471956472nteger 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))))))
% 19.00/19.18  (assume a5477 (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))))))
% 19.00/19.18  (assume a5478 (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))))))
% 19.00/19.18  (assume a5479 (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)))))
% 19.00/19.18  (assume a5480 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger N)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger 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)))))
% 19.00/19.18  (assume a5481 (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)))))
% 19.00/19.18  (assume a5482 (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)))))
% 19.00/19.18  (assume a5483 (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))))))
% 19.00/19.18  (assume a5484 (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))))))
% 19.00/19.18  (assume a5485 (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))))))
% 19.00/19.18  (assume a5486 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Z)) (tptp.numera6620942414471956472nteger 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))))))
% 19.00/19.18  (assume a5487 (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)))))
% 19.00/19.18  (assume a5488 (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)))))
% 19.00/19.18  (assume a5489 (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)))))
% 19.00/19.18  (assume a5490 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger N)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger 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)))))
% 19.00/19.18  (assume a5491 (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)))))
% 19.00/19.18  (assume a5492 (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)))))
% 19.00/19.18  (assume a5493 (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)))))
% 19.00/19.18  (assume a5494 (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)))))
% 19.00/19.18  (assume a5495 (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)))))
% 19.00/19.18  (assume a5496 (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)))))
% 19.00/19.18  (assume a5497 (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)))))
% 19.00/19.18  (assume a5498 (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)))))
% 19.00/19.18  (assume a5499 (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)))))
% 19.00/19.18  (assume a5500 (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)))))
% 19.00/19.18  (assume a5501 (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)))))
% 19.00/19.18  (assume a5502 (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)))))
% 19.00/19.18  (assume a5503 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2)) (tptp.aa_int_real tptp.ring_1_of_int_real X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a5504 (forall ((B tptp.int) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a5505 (forall ((B tptp.int) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_int_int tptp.ring_1_of_int_int X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a5506 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5507 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5508 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5509 (forall ((Y tptp.int) (X2 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 X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.18  (assume a5510 (forall ((Y tptp.int) (X2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.18  (assume a5511 (forall ((Y tptp.int) (X2 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 X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.18  (assume a5512 (forall ((Y tptp.int) (X2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.18  (assume a5513 (forall ((Y tptp.int) (X2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.18  (assume a5514 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X2)) 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 X2)) N) Y))))
% 19.00/19.18  (assume a5515 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X2)) 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 X2)) N) Y))))
% 19.00/19.18  (assume a5516 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) 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 X2)) N) Y))))
% 19.00/19.18  (assume a5517 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) 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 X2)) N) Y))))
% 19.00/19.18  (assume a5518 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) N) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N) Y))))
% 19.00/19.18  (assume a5519 (forall ((B tptp.int) (W2 tptp.nat) (X2 tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2)) (tptp.aa_int_real tptp.ring_1_of_int_real X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W2)) X2)))))
% 19.00/19.18  (assume a5520 (forall ((B tptp.int) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W2)) X2)))))
% 19.00/19.18  (assume a5521 (forall ((B tptp.int) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_int_int tptp.ring_1_of_int_int X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W2)) X2)))))
% 19.00/19.18  (assume a5522 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5523 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5524 (forall ((X2 tptp.int) (B tptp.int) (W2 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 X2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (tptp.aa_nat_int (tptp.power_power_int B) W2))))))
% 19.00/19.18  (assume a5525 (forall ((X2 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.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5526 (forall ((X2 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) N)) (tptp.aa_int_Code_integer 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_num_int tptp.numeral_numeral_int X2)) N)) A)))))
% 19.00/19.18  (assume a5527 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5528 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5529 (forall ((A tptp.int) (X2 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.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5530 (forall ((A tptp.int) (X2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5531 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5532 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5533 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5534 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5535 (forall ((X2 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.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) 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 X2)) N)) A)))))
% 19.00/19.18  (assume a5536 (forall ((X2 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) N)) (tptp.aa_int_Code_integer 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_num_int tptp.numeral_numeral_int X2)) N)) A)))))
% 19.00/19.18  (assume a5537 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5538 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5539 (forall ((A tptp.int) (X2 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.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5540 (forall ((A tptp.int) (X2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X2)) 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 X2)) N))))))
% 19.00/19.18  (assume a5541 (forall ((Y tptp.int) (X2 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 X2))) 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 X2))) N)))))
% 19.00/19.18  (assume a5542 (forall ((Y tptp.int) (X2 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 X2))) 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 X2))) N)))))
% 19.00/19.18  (assume a5543 (forall ((Y tptp.int) (X2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N)))))
% 19.00/19.18  (assume a5544 (forall ((Y tptp.int) (X2 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 X2))) 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 X2))) N)))))
% 19.00/19.18  (assume a5545 (forall ((Y tptp.int) (X2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) 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 X2))) N)))))
% 19.00/19.18  (assume a5546 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X2))) 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 X2))) N) Y))))
% 19.00/19.18  (assume a5547 (forall ((X2 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 X2))) 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 X2))) N) Y))))
% 19.00/19.18  (assume a5548 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N) Y))))
% 19.00/19.18  (assume a5549 (forall ((X2 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 X2))) 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 X2))) N) Y))))
% 19.00/19.18  (assume a5550 (forall ((X2 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) N) (tptp.aa_int_Code_integer 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 X2))) N) Y))))
% 19.00/19.18  (assume a5551 (forall ((X2 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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5552 (forall ((X2 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) N)) (tptp.aa_int_Code_integer 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5553 (forall ((X2 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 X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5554 (forall ((X2 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 X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5555 (forall ((A tptp.int) (X2 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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5556 (forall ((A tptp.int) (X2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5557 (forall ((A tptp.int) (X2 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 X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5558 (forall ((A tptp.int) (X2 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 X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5559 (forall ((X2 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 X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5560 (forall ((X2 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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5561 (forall ((X2 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 X2))) 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5562 (forall ((X2 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) N)) (tptp.aa_int_Code_integer 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 X2))) N)) A)))))
% 19.00/19.18  (assume a5563 (forall ((A tptp.int) (X2 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 X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5564 (forall ((A tptp.int) (X2 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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5565 (forall ((A tptp.int) (X2 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 X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5566 (forall ((A tptp.int) (X2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X2))) 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 X2))) N))))))
% 19.00/19.18  (assume a5567 (forall ((A2 tptp.set_VEBT_VEBT)) (= (tptp.uminus8041839845116263051T_VEBT A2) (tptp.collect_VEBT_VEBT (tptp.aTP_Lamm_eo A2)))))
% 19.00/19.18  (assume a5568 (forall ((A2 tptp.set_real)) (= (tptp.uminus612125837232591019t_real A2) (tptp.collect_real (tptp.aTP_Lamm_ep A2)))))
% 19.00/19.18  (assume a5569 (forall ((A2 tptp.set_list_nat)) (= (tptp.uminus3195874150345416415st_nat A2) (tptp.collect_list_nat (tptp.aTP_Lamm_eq A2)))))
% 19.00/19.18  (assume a5570 (forall ((A2 tptp.set_set_nat)) (= (tptp.uminus613421341184616069et_nat A2) (tptp.collect_set_nat (tptp.aTP_Lamm_er A2)))))
% 19.00/19.18  (assume a5571 (forall ((A2 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat A2) (tptp.collect_nat (tptp.aTP_Lamm_es A2)))))
% 19.00/19.18  (assume a5572 (forall ((A2 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int A2) (tptp.collect_int (tptp.aTP_Lamm_et A2)))))
% 19.00/19.18  (assume a5573 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.minus_5127226145743854075T_VEBT A2 B2) (tptp.collect_VEBT_VEBT (tptp.aa_set1728193350978918526T_bool (tptp.aTP_Lamm_eu A2) B2)))))
% 19.00/19.18  (assume a5574 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 B2) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_ev A2) B2)))))
% 19.00/19.18  (assume a5575 (forall ((A2 tptp.set_list_nat) (B2 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A2 B2) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_ew A2) B2)))))
% 19.00/19.18  (assume a5576 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.minus_2163939370556025621et_nat A2 B2) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_ex A2) B2)))))
% 19.00/19.18  (assume a5577 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 B2) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_ey A2) B2)))))
% 19.00/19.18  (assume a5578 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 B2) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ez A2) B2)))))
% 19.00/19.18  (assume a5579 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.minus_5127226145743854075T_VEBT A2 B2) (tptp.collect_VEBT_VEBT (tptp.minus_1873103217924207103T_bool (tptp.aTP_Lamm_a A2) (tptp.aTP_Lamm_a B2))))))
% 19.00/19.18  (assume a5580 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 B2) (tptp.collect_real (tptp.minus_6582619742941512235l_bool (tptp.aTP_Lamm_aa A2) (tptp.aTP_Lamm_aa B2))))))
% 19.00/19.18  (assume a5581 (forall ((A2 tptp.set_list_nat) (B2 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A2 B2) (tptp.collect_list_nat (tptp.minus_8064998606961450743t_bool (tptp.aTP_Lamm_ab A2) (tptp.aTP_Lamm_ab B2))))))
% 19.00/19.18  (assume a5582 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.minus_2163939370556025621et_nat A2 B2) (tptp.collect_set_nat (tptp.minus_8322047804725131473t_bool (tptp.aTP_Lamm_ac A2) (tptp.aTP_Lamm_ac B2))))))
% 19.00/19.18  (assume a5583 (forall ((A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 B2) (tptp.collect_int (tptp.minus_7727386867957376939t_bool (tptp.aTP_Lamm_ae A2) (tptp.aTP_Lamm_ae B2))))))
% 19.00/19.18  (assume a5584 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 B2) (tptp.collect_nat (tptp.minus_1628305797571225351t_bool (tptp.aTP_Lamm_ad A2) (tptp.aTP_Lamm_ad B2))))))
% 19.00/19.18  (assume a5585 (forall ((P tptp.fun_real_bool)) (= (tptp.collect_real (tptp.aTP_Lamm_fa P)) (tptp.uminus612125837232591019t_real (tptp.collect_real P)))))
% 19.00/19.18  (assume a5586 (forall ((P tptp.fun_list_nat_bool)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_fb P)) (tptp.uminus3195874150345416415st_nat (tptp.collect_list_nat P)))))
% 19.00/19.18  (assume a5587 (forall ((P tptp.fun_set_nat_bool)) (= (tptp.collect_set_nat (tptp.aTP_Lamm_fc P)) (tptp.uminus613421341184616069et_nat (tptp.collect_set_nat P)))))
% 19.00/19.18  (assume a5588 (forall ((P tptp.fun_nat_bool)) (= (tptp.collect_nat (tptp.aTP_Lamm_fd P)) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))
% 19.00/19.18  (assume a5589 (forall ((P tptp.fun_int_bool)) (= (tptp.collect_int (tptp.aTP_Lamm_fe P)) (tptp.uminus1532241313380277803et_int (tptp.collect_int P)))))
% 19.00/19.18  (assume a5590 (forall ((A2 tptp.set_VEBT_VEBT)) (= (tptp.uminus8041839845116263051T_VEBT A2) (tptp.collect_VEBT_VEBT (tptp.uminus8258794197550912879T_bool (tptp.aTP_Lamm_a A2))))))
% 19.00/19.18  (assume a5591 (forall ((A2 tptp.set_real)) (= (tptp.uminus612125837232591019t_real A2) (tptp.collect_real (tptp.uminus4638318004487240379l_bool (tptp.aTP_Lamm_aa A2))))))
% 19.00/19.18  (assume a5592 (forall ((A2 tptp.set_list_nat)) (= (tptp.uminus3195874150345416415st_nat A2) (tptp.collect_list_nat (tptp.uminus5119773305880778631t_bool (tptp.aTP_Lamm_ab A2))))))
% 19.00/19.18  (assume a5593 (forall ((A2 tptp.set_set_nat)) (= (tptp.uminus613421341184616069et_nat A2) (tptp.collect_set_nat (tptp.uminus6226608070181861729t_bool (tptp.aTP_Lamm_ac A2))))))
% 19.00/19.18  (assume a5594 (forall ((A2 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat A2) (tptp.collect_nat (tptp.uminus1995910650241132439t_bool (tptp.aTP_Lamm_ad A2))))))
% 19.00/19.18  (assume a5595 (forall ((A2 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int A2) (tptp.collect_int (tptp.uminus8094991720627284027t_bool (tptp.aTP_Lamm_ae A2))))))
% 19.00/19.18  (assume a5596 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.minus_5127226145743854075T_VEBT A2 B2))) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2))))))
% 19.00/19.18  (assume a5597 (forall ((C tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A2 B2))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2))))))
% 19.00/19.18  (assume a5598 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.minus_2163939370556025621et_nat A2 B2))) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2))))))
% 19.00/19.18  (assume a5599 (forall ((C tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A2 B2))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2))))))
% 19.00/19.18  (assume a5600 (forall ((C tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.minus_minus_set_nat A2 B2))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2))))))
% 19.00/19.18  (assume a5601 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.minus_5127226145743854075T_VEBT A2 B2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)))))
% 19.00/19.18  (assume a5602 (forall ((C tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A2 B2))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)))))
% 19.00/19.18  (assume a5603 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.minus_2163939370556025621et_nat A2 B2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)))))
% 19.00/19.18  (assume a5604 (forall ((C tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A2 B2))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)))))
% 19.00/19.18  (assume a5605 (forall ((C tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.minus_minus_set_nat A2 B2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)))))
% 19.00/19.18  (assume a5606 (forall ((C tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A2))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2))))))
% 19.00/19.18  (assume a5607 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.uminus8041839845116263051T_VEBT A2))) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2))))))
% 19.00/19.18  (assume a5608 (forall ((C tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A2))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2))))))
% 19.00/19.18  (assume a5609 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.uminus613421341184616069et_nat A2))) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2))))))
% 19.00/19.18  (assume a5610 (forall ((C tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A2))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2))))))
% 19.00/19.18  (assume a5611 (forall ((C tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) (tptp.minus_5127226145743854075T_VEBT A2 B2))) (not (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT C) B2)))))))
% 19.00/19.18  (assume a5612 (forall ((C tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A2 B2))) (not (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B2)))))))
% 19.00/19.18  (assume a5613 (forall ((C tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) (tptp.minus_2163939370556025621et_nat A2 B2))) (not (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat C) B2)))))))
% 19.00/19.18  (assume a5614 (forall ((C tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A2 B2))) (not (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B2)))))))
% 19.00/19.18  (assume a5615 (forall ((C tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.minus_minus_set_nat A2 B2))) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B2)))))))
% 19.00/19.18  (assume a5616 (forall ((X2 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 X2)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_int_real tptp.ring_1_of_int_real X2)))))
% 19.00/19.18  (assume a5617 (forall ((X2 tptp.int) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X2)) Y) (tptp.aa_rat_rat (tptp.times_times_rat Y) (tptp.aa_int_rat tptp.ring_1_of_int_rat X2)))))
% 19.00/19.18  (assume a5618 (forall ((X2 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 X2)) 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 X2)))))
% 19.00/19.18  (assume a5619 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_int_real tptp.ring_1_of_int_real X2)) (tptp.aa_int_real tptp.ring_1_of_int_real Y)))))
% 19.00/19.18  (assume a5620 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y)) (tptp.aa_rat_rat (tptp.ord_max_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)))))
% 19.00/19.18  (assume a5621 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.ring_1_of_int_int X2)) (tptp.aa_int_int tptp.ring_1_of_int_int Y)))))
% 19.00/19.18  (assume a5622 (forall ((Q2 tptp.product_prod_nat_nat) (F tptp.fun_nat_fun_nat_bool) (G tptp.fun_nat_fun_nat_bool) (P3 tptp.product_prod_nat_nat)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y2) Q2) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F X4) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool G X4) Y2))))) (=> (= P3 Q2) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) P3)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool G) Q2)))))))
% 19.00/19.18  (assume a5623 (forall ((Q2 tptp.product_prod_nat_nat) (F tptp.fun_nat_fun_nat_nat) (G tptp.fun_nat_fun_nat_nat) (P3 tptp.product_prod_nat_nat)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y2) Q2) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X4) Y2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat G X4) Y2)))) (=> (= P3 Q2) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) P3) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat G) Q2))))))
% 19.00/19.18  (assume a5624 (forall ((Q2 tptp.product_prod_nat_nat) (F tptp.fun_na1668100129766719005at_nat) (G tptp.fun_na1668100129766719005at_nat) (P3 tptp.product_prod_nat_nat)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y2) Q2) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F X4) Y2) (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat G X4) Y2)))) (=> (= P3 Q2) (= (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat F) P3) (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat G) Q2))))))
% 19.00/19.18  (assume a5625 (forall ((Q2 tptp.product_prod_nat_nat) (F tptp.fun_na4786964484885125043t_bool) (G tptp.fun_na4786964484885125043t_bool) (P3 tptp.product_prod_nat_nat)) (=> (forall ((X4 tptp.nat) (Y2 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y2) Q2) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F X4) Y2) (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool G X4) Y2)))) (=> (= P3 Q2) (= (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) P3) (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool G) Q2))))))
% 19.00/19.18  (assume a5626 (forall ((Q2 tptp.product_prod_int_int) (F tptp.fun_int_fun_int_bool) (G tptp.fun_int_fun_int_bool) (P3 tptp.product_prod_int_int)) (=> (forall ((X4 tptp.int) (Y2 tptp.int)) (=> (= (tptp.product_Pair_int_int X4 Y2) Q2) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool F X4) Y2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool G X4) Y2))))) (=> (= P3 Q2) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool F) P3)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool G) Q2)))))))
% 19.00/19.18  (assume a5627 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.nat_set_decode N)))))
% 19.00/19.18  (assume a5628 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (= (tptp.aa_set_nat_nat tptp.nat_set_encode A2) (tptp.aa_set_nat_nat tptp.nat_set_encode B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5629 (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))))))
% 19.00/19.18  (assume a5630 (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))))))
% 19.00/19.18  (assume a5631 (forall ((A2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.aa_set_nat_nat tptp.nat_set_encode A2) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5632 (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))))))
% 19.00/19.18  (assume a5633 (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))))))
% 19.00/19.18  (assume a5634 (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))))))
% 19.00/19.18  (assume a5635 (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))))))
% 19.00/19.18  (assume a5636 (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))))))
% 19.00/19.18  (assume a5637 (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))))))
% 19.00/19.18  (assume a5638 (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)))))
% 19.00/19.18  (assume a5639 (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)))))
% 19.00/19.18  (assume a5640 (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)))))
% 19.00/19.18  (assume a5641 (forall ((K tptp.num)) (= (tptp.aa_int_Code_integer 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)))))
% 19.00/19.18  (assume a5642 (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 ((X4 tptp.int) (K3 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 K3) D)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D))) (tptp.pp (tptp.aa_int_bool P X3)))))))))
% 19.00/19.18  (assume a5643 (forall ((D5 tptp.int) (A2 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) D5)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X)) (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 X) D5)))))))))
% 19.00/19.18  (assume a5644 (forall ((D5 tptp.int) (T tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T) A2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) 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 X) D5)) T)))))))))
% 19.00/19.18  (assume a5645 (forall ((D5 tptp.int) (T tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T) A2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (not (= X T)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) D5) T)))))))))
% 19.00/19.18  (assume a5646 (forall ((D5 tptp.int) (T tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int T) tptp.one_one_int)) A2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (= X T) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) D5) T))))))))
% 19.00/19.18  (assume a5647 (forall ((D5 tptp.int) (T tptp.int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T) B2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X)) (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 X) D5))))))))))
% 19.00/19.18  (assume a5648 (forall ((D5 tptp.int) (B2 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) D5)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) 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 X) D5)) T))))))))
% 19.00/19.18  (assume a5649 (forall ((D5 tptp.int) (T tptp.int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T) B2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (not (= X T)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) D5) T)))))))))
% 19.00/19.18  (assume a5650 (forall ((D5 tptp.int) (T tptp.int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int T) tptp.one_one_int)) B2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (= X T) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) D5) T))))))))
% 19.00/19.18  (assume a5651 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.nat_set_decode M)) (tptp.nat_set_decode N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.00/19.18  (assume a5652 (forall ((D5 tptp.int) (A2 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) D5)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X)) (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 X) D5)))))))))
% 19.00/19.18  (assume a5653 (forall ((D5 tptp.int) (T tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int T) tptp.one_one_int)) A2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) A2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) 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 X) D5)) T)))))))))
% 19.00/19.18  (assume a5654 (forall ((D5 tptp.int) (T tptp.int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int T) tptp.one_one_int)) B2)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X)) (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 X) D5))))))))))
% 19.00/19.18  (assume a5655 (forall ((D5 tptp.int) (B2 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) D5)) (forall ((X tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb) B2)) (not (= X (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) 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 X) D5)) T))))))))
% 19.00/19.18  (assume a5656 (forall ((D5 tptp.int) (P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z3)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (forall ((X4 tptp.int)) (=> (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb2) B2)) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa))))))) (=> (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) D5)))))) (=> (forall ((X4 tptp.int) (K3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P2 X4)) (tptp.pp (tptp.aa_int_bool P2 (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 K3) D5)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (or (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (tptp.pp (tptp.aa_int_bool P2 X3)))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (exists ((Xa4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa4) B2)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xa4) X3)))))))))))))))
% 19.00/19.18  (assume a5657 (forall ((D5 tptp.int) (P tptp.fun_int_bool) (P2 tptp.fun_int_bool) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D5)) (=> (exists ((Z3 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P2 X4)))))) (=> (forall ((X4 tptp.int)) (=> (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (forall ((Xb2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xb2) A2)) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa))))))) (=> (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) D5)))))) (=> (forall ((X4 tptp.int) (K3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P2 X4)) (tptp.pp (tptp.aa_int_bool P2 (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 K3) D5)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (or (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (tptp.pp (tptp.aa_int_bool P2 X3)))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_or1266510415728281911st_int tptp.one_one_int D5))) (exists ((Xa4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa4) A2)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xa4) X3)))))))))))))))
% 19.00/19.18  (assume a5658 (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_en L)) Qr))))
% 19.00/19.18  (assume a5659 (forall ((X2 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)) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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))))))))
% 19.00/19.18  (assume a5660 (forall ((X2 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)) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (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))))))))
% 19.00/19.18  (assume a5661 (forall ((X2 tptp.real)) (exists ((X4 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 X4)) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) tptp.one_one_int)))) (forall ((Y3 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 Y3)) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y3) tptp.one_one_int))))) (= Y3 X4)))))))
% 19.00/19.18  (assume a5662 (forall ((X2 tptp.rat)) (exists ((X4 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 X4)) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) tptp.one_one_int)))) (forall ((Y3 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 Y3)) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y3) tptp.one_one_int))))) (= Y3 X4)))))))
% 19.00/19.18  (assume a5663 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real tptp.ln_ln_real X2)) (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.power_power_real X2) (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 19.00/19.18  (assume a5664 (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_ff) (tptp.divmod_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) N)))))))
% 19.00/19.18  (assume a5665 (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.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)))))))))
% 19.00/19.18  (assume a5666 (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)))))))))
% 19.00/19.18  (assume a5667 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_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.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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a5668 (forall ((X2 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 X2) (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 X2) (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 X2) Y)))))
% 19.00/19.18  (assume a5669 (forall ((X2 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 X2) (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.plus_plus_rat X2) (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 X2) Y)))))
% 19.00/19.18  (assume a5670 (forall ((X2 tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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) X2)) (=> (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))))
% 19.00/19.18  (assume a5671 (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)))
% 19.00/19.18  (assume a5672 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.00/19.18  (assume a5673 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.18  (assume a5674 (= (tptp.aa_complex_complex tptp.tanh_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.00/19.18  (assume a5675 (= (tptp.aa_real_real tptp.tanh_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.18  (assume a5676 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.18  (assume a5677 (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)))
% 19.00/19.18  (assume a5678 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int tptp.zero_zero_nat) A) tptp.zero_zero_int)))
% 19.00/19.18  (assume a5679 (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)))))
% 19.00/19.18  (assume a5680 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a5681 (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)))))
% 19.00/19.18  (assume a5682 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)))))
% 19.00/19.18  (assume a5683 (= (tptp.aa_real_int tptp.archim8280529875227126926d_real tptp.zero_zero_real) tptp.zero_zero_int))
% 19.00/19.18  (assume a5684 (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat tptp.zero_zero_rat) tptp.zero_zero_int))
% 19.00/19.18  (assume a5685 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a5686 (forall ((X2 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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)))))
% 19.00/19.18  (assume a5687 (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))))
% 19.00/19.18  (assume a5688 (forall ((N tptp.nat)) (= (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) tptp.one_one_int) tptp.zero_zero_int) (= N tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5689 (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)))))
% 19.00/19.18  (assume a5690 (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)))))
% 19.00/19.18  (assume a5691 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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)))))
% 19.00/19.18  (assume a5692 (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))))))
% 19.00/19.18  (assume a5693 (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))))))
% 19.00/19.18  (assume a5694 (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.aa_nat_fun_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))))))
% 19.00/19.18  (assume a5695 (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))))))
% 19.00/19.18  (assume a5696 (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))))))
% 19.00/19.18  (assume a5697 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a5698 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger M (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.18  (assume a5699 (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)))))
% 19.00/19.18  (assume a5700 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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)))))
% 19.00/19.18  (assume a5701 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (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))))))
% 19.00/19.18  (assume a5702 (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))))))
% 19.00/19.18  (assume a5703 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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))))))
% 19.00/19.18  (assume a5704 (forall ((N tptp.nat) (A tptp.nat) (B 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) B))) (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) B)))))
% 19.00/19.18  (assume a5705 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) B))) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))
% 19.00/19.18  (assume a5706 (forall ((N tptp.nat) (A tptp.nat) (B 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) B)) (=> (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) B))))))
% 19.00/19.18  (assume a5707 (forall ((N tptp.nat) (A tptp.int) (B tptp.int) (M tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) B)) (=> (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_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) A) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) B))))))
% 19.00/19.18  (assume a5708 (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))))))
% 19.00/19.18  (assume a5709 (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))))
% 19.00/19.18  (assume a5710 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X2)) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.00/19.18  (assume a5711 (forall ((X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) 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 X2)) (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat Y))))))
% 19.00/19.18  (assume a5712 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt X2))))))
% 19.00/19.18  (assume a5713 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) K)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) K))))))
% 19.00/19.18  (assume a5714 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) K)) tptp.zero_zero_int)))))
% 19.00/19.18  (assume a5715 (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.aa_nat_fun_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)))))
% 19.00/19.18  (assume a5716 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int M) (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int M)) A))))
% 19.00/19.18  (assume a5717 (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)))))))
% 19.00/19.18  (assume a5718 (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.aa_nat_fun_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_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.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.00/19.18  (assume a5719 (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)))))))
% 19.00/19.18  (assume a5720 (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.aa_nat_fun_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_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.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.00/19.18  (assume a5721 (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)))))))
% 19.00/19.18  (assume a5722 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2159334234014336723it_int M) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.00/19.18  (assume a5723 (forall ((X2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X2)) tptp.one_one_real))))
% 19.00/19.18  (assume a5724 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_ri631733984087533419it_int N) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) A)))))
% 19.00/19.18  (assume a5725 (forall ((X2 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 X2)))))
% 19.00/19.18  (assume a5726 (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)))))
% 19.00/19.18  (assume a5727 (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))))))
% 19.00/19.18  (assume a5728 (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)))))
% 19.00/19.18  (assume a5729 (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))))
% 19.00/19.18  (assume a5730 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X2) (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 X2) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.00/19.18  (assume a5731 (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_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)))))
% 19.00/19.18  (assume a5732 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 19.00/19.18  (assume a5733 (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)))))
% 19.00/19.18  (assume a5734 (forall ((N tptp.nat) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_nat_fun_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)))))
% 19.00/19.18  (assume a5735 (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)))))
% 19.00/19.18  (assume a5736 (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)))))
% 19.00/19.18  (assume a5737 (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_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))))))
% 19.00/19.18  (assume a5738 (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_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)))))
% 19.00/19.18  (assume a5739 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2) (tptp.aa_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 X2)) Y)))))))
% 19.00/19.18  (assume a5740 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.sqrt X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.18  (assume a5741 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_nat_fun_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)))))))
% 19.00/19.18  (assume a5742 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) K) K)))))
% 19.00/19.18  (assume a5743 (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 ((N2 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool P N2))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))))))
% 19.00/19.18  (assume a5744 (forall ((X2 tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_int_real tptp.ring_1_of_int_real Z2))))))
% 19.00/19.18  (assume a5745 (forall ((X2 tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2))))))
% 19.00/19.18  (assume a5746 (forall ((X2 tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_int_real tptp.ring_1_of_int_real Z2))))))
% 19.00/19.18  (assume a5747 (forall ((X2 tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2))))))
% 19.00/19.18  (assume a5748 (forall ((X2 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)) X2)))))
% 19.00/19.18  (assume a5749 (forall ((X2 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)) X2)))))
% 19.00/19.18  (assume a5750 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (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)))))))
% 19.00/19.18  (assume a5751 (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)))))))
% 19.00/19.18  (assume a5752 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) (tptp.aa_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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.18  (assume a5753 (forall ((X2 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 X2) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 19.00/19.18  (assume a5754 (forall ((X2 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 X2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) (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))))))))
% 19.00/19.18  (assume a5755 (forall ((X2 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 X2))) (tptp.aa_rat_rat (tptp.plus_plus_rat X2) (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))))))))
% 19.00/19.18  (assume a5756 (forall ((X2 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 X2) (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 X2))))))
% 19.00/19.18  (assume a5757 (forall ((X2 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 X2) (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 X2))))))
% 19.00/19.18  (assume a5758 (forall ((X2 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 X2) (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 X2))))))
% 19.00/19.18  (assume a5759 (forall ((X2 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 X2) (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 X2))))))
% 19.00/19.18  (assume a5760 (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.aa_nat_fun_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))))))))
% 19.00/19.18  (assume a5761 (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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int N) K))))))
% 19.00/19.18  (assume a5762 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_Code_integer)))))))
% 19.00/19.18  (assume a5763 (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)))))))
% 19.00/19.18  (assume a5764 (forall ((A tptp.int) (N tptp.nat)) (=> (= (tptp.aa_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.aa_nat_fun_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.aa_nat_fun_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)))))))
% 19.00/19.18  (assume a5765 (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.aa_nat_fun_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))))))
% 19.00/19.18  (assume a5766 (forall ((D tptp.int)) (= (tptp.int_ge_less_than D) (tptp.collec213857154873943460nt_int (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_fg D))))))
% 19.00/19.18  (assume a5767 (forall ((D tptp.int)) (= (tptp.int_ge_less_than2 D) (tptp.collec213857154873943460nt_int (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_fh D))))))
% 19.00/19.18  (assume a5768 (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_ch (tptp.set_or1266510415728281911st_int M N)) (tptp.aa_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)))))))
% 19.00/19.18  (assume a5769 (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)))))))))
% 19.00/19.18  (assume a5770 (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))))))))
% 19.00/19.18  (assume a5771 (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))))))))
% 19.00/19.18  (assume a5772 (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))))))))
% 19.00/19.18  (assume a5773 (forall ((A2 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) A2))) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.insert_nat N A2)) (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 A2)))))))
% 19.00/19.18  (assume a5774 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_cg) (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))))))
% 19.00/19.18  (assume a5775 (forall ((X2 tptp.nat) (A2 tptp.set_nat)) (= (tptp.insert_nat X2 (tptp.insert_nat X2 A2)) (tptp.insert_nat X2 A2))))
% 19.00/19.18  (assume a5776 (forall ((X2 tptp.int) (A2 tptp.set_int)) (= (tptp.insert_int X2 (tptp.insert_int X2 A2)) (tptp.insert_int X2 A2))))
% 19.00/19.18  (assume a5777 (forall ((X2 tptp.real) (A2 tptp.set_real)) (= (tptp.insert_real X2 (tptp.insert_real X2 A2)) (tptp.insert_real X2 A2))))
% 19.00/19.18  (assume a5778 (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B A2))) (or (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))))))
% 19.00/19.18  (assume a5779 (forall ((A tptp.vEBT_VEBT) (B tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT B A2))) (or (= A B) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))))))
% 19.00/19.18  (assume a5780 (forall ((A tptp.int) (B tptp.int) (A2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B A2))) (or (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))))))
% 19.00/19.18  (assume a5781 (forall ((A tptp.set_nat) (B tptp.set_nat) (A2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat B A2))) (or (= A B) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2))))))
% 19.00/19.18  (assume a5782 (forall ((A tptp.real) (B tptp.real) (A2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B A2))) (or (= A B) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))))))
% 19.00/19.18  (assume a5783 (forall ((A tptp.nat) (B2 tptp.set_nat) (B tptp.nat)) (=> (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B2))) (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B B2))))))
% 19.00/19.18  (assume a5784 (forall ((A tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT)) (=> (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) B2))) (= A B)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT B B2))))))
% 19.00/19.18  (assume a5785 (forall ((A tptp.int) (B2 tptp.set_int) (B tptp.int)) (=> (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B2))) (= A B)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B B2))))))
% 19.00/19.18  (assume a5786 (forall ((A tptp.set_nat) (B2 tptp.set_set_nat) (B tptp.set_nat)) (=> (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) B2))) (= A B)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat B B2))))))
% 19.00/19.18  (assume a5787 (forall ((A tptp.real) (B2 tptp.set_real) (B tptp.real)) (=> (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B2))) (= A B)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B B2))))))
% 19.00/19.18  (assume a5788 (forall ((X32 tptp.num) (Y32 tptp.num)) (= (= (tptp.aa_num_num tptp.bit1 X32) (tptp.aa_num_num tptp.bit1 Y32)) (= X32 Y32))))
% 19.00/19.18  (assume a5789 (forall ((A tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))
% 19.00/19.18  (assume a5790 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat)))))
% 19.00/19.18  (assume a5791 (forall ((A tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real A tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a5792 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a5793 (forall ((A tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a5794 (forall ((A tptp.real) (A2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.insert_real A A2))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)))))
% 19.00/19.18  (assume a5795 (forall ((A tptp.nat) (A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.insert_nat A A2))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)))))
% 19.00/19.18  (assume a5796 (forall ((A tptp.int) (A2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.insert_int A A2))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)))))
% 19.00/19.18  (assume a5797 (forall ((A tptp.complex) (A2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.insert_complex A A2))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)))))
% 19.00/19.18  (assume a5798 (forall ((X2 tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.insert_nat X2 A2)) B2)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2))))))
% 19.00/19.18  (assume a5799 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.insert_VEBT_VEBT X2 A2)) B2)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2))))))
% 19.00/19.18  (assume a5800 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.insert_set_nat X2 A2)) B2)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2))))))
% 19.00/19.18  (assume a5801 (forall ((X2 tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.insert_real X2 A2)) B2)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2))))))
% 19.00/19.18  (assume a5802 (forall ((X2 tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int X2 A2)) B2)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2))))))
% 19.00/19.18  (assume a5803 (forall ((X2 tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2)) (= (tptp.minus_5127226145743854075T_VEBT (tptp.insert_VEBT_VEBT X2 A2) B2) (tptp.minus_5127226145743854075T_VEBT A2 B2)))))
% 19.00/19.18  (assume a5804 (forall ((X2 tptp.int) (B2 tptp.set_int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2)) (= (tptp.minus_minus_set_int (tptp.insert_int X2 A2) B2) (tptp.minus_minus_set_int A2 B2)))))
% 19.00/19.18  (assume a5805 (forall ((X2 tptp.set_nat) (B2 tptp.set_set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2)) (= (tptp.minus_2163939370556025621et_nat (tptp.insert_set_nat X2 A2) B2) (tptp.minus_2163939370556025621et_nat A2 B2)))))
% 19.00/19.18  (assume a5806 (forall ((X2 tptp.real) (B2 tptp.set_real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2)) (= (tptp.minus_minus_set_real (tptp.insert_real X2 A2) B2) (tptp.minus_minus_set_real A2 B2)))))
% 19.00/19.18  (assume a5807 (forall ((X2 tptp.nat) (B2 tptp.set_nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2)) (= (tptp.minus_minus_set_nat (tptp.insert_nat X2 A2) B2) (tptp.minus_minus_set_nat A2 B2)))))
% 19.00/19.18  (assume a5808 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 B2)) (tptp.minus_5127226145743854075T_VEBT A2 B2)))))
% 19.00/19.18  (assume a5809 (forall ((X2 tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.minus_minus_set_int A2 (tptp.insert_int X2 B2)) (tptp.minus_minus_set_int A2 B2)))))
% 19.00/19.18  (assume a5810 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (= (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat X2 B2)) (tptp.minus_2163939370556025621et_nat A2 B2)))))
% 19.00/19.18  (assume a5811 (forall ((X2 tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.minus_minus_set_real A2 (tptp.insert_real X2 B2)) (tptp.minus_minus_set_real A2 B2)))))
% 19.00/19.18  (assume a5812 (forall ((X2 tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 B2)) (tptp.minus_minus_set_nat A2 B2)))))
% 19.00/19.18  (assume a5813 (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)))))
% 19.00/19.18  (assume a5814 (forall ((A2 tptp.set_int)) (= (tptp.groups4538972089207619220nt_int tptp.aTP_Lamm_cc A2) tptp.zero_zero_int)))
% 19.00/19.18  (assume a5815 (forall ((A2 tptp.set_nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_cb) A2) tptp.zero_zero_nat)))
% 19.00/19.18  (assume a5816 (forall ((A2 tptp.set_complex)) (= (tptp.groups7754918857620584856omplex tptp.aTP_Lamm_by A2) tptp.zero_zero_complex)))
% 19.00/19.18  (assume a5817 (forall ((A2 tptp.set_nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real tptp.aTP_Lamm_fi) A2) tptp.zero_zero_real)))
% 19.00/19.18  (assume a5818 (forall ((A tptp.list_nat)) (= (tptp.collect_list_nat (tptp.fequal_list_nat A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))))
% 19.00/19.18  (assume a5819 (forall ((A tptp.set_nat)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool tptp.fequal_set_nat A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))))
% 19.00/19.18  (assume a5820 (forall ((A tptp.real)) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real A)) (tptp.insert_real A tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a5821 (forall ((A tptp.nat)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.fequal_nat A)) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a5822 (forall ((A tptp.int)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.fequal_int A)) (tptp.insert_int A tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a5823 (forall ((A tptp.list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_fj A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))))
% 19.00/19.18  (assume a5824 (forall ((A tptp.set_nat)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_fk A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))))
% 19.00/19.18  (assume a5825 (forall ((A tptp.real)) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fl A)) (tptp.insert_real A tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a5826 (forall ((A tptp.nat)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fm A)) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a5827 (forall ((A tptp.int)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_fn A)) (tptp.insert_int A tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a5828 (forall ((G tptp.fun_real_complex)) (= (tptp.groups5754745047067104278omplex G tptp.bot_bot_set_real) tptp.zero_zero_complex)))
% 19.00/19.18  (assume a5829 (forall ((G tptp.fun_real_real)) (= (tptp.groups8097168146408367636l_real G tptp.bot_bot_set_real) tptp.zero_zero_real)))
% 19.00/19.18  (assume a5830 (forall ((G tptp.fun_real_rat)) (= (tptp.groups1300246762558778688al_rat G tptp.bot_bot_set_real) tptp.zero_zero_rat)))
% 19.00/19.18  (assume a5831 (forall ((G tptp.fun_real_nat)) (= (tptp.groups1935376822645274424al_nat G tptp.bot_bot_set_real) tptp.zero_zero_nat)))
% 19.00/19.18  (assume a5832 (forall ((G tptp.fun_real_int)) (= (tptp.groups1932886352136224148al_int G tptp.bot_bot_set_real) tptp.zero_zero_int)))
% 19.00/19.18  (assume a5833 (forall ((G tptp.fun_nat_complex)) (= (tptp.groups2073611262835488442omplex G tptp.bot_bot_set_nat) tptp.zero_zero_complex)))
% 19.00/19.18  (assume a5834 (forall ((G tptp.fun_nat_rat)) (= (tptp.groups2906978787729119204at_rat G tptp.bot_bot_set_nat) tptp.zero_zero_rat)))
% 19.00/19.18  (assume a5835 (forall ((G tptp.fun_nat_int)) (= (tptp.groups3539618377306564664at_int G tptp.bot_bot_set_nat) tptp.zero_zero_int)))
% 19.00/19.18  (assume a5836 (forall ((G tptp.fun_int_complex)) (= (tptp.groups3049146728041665814omplex G tptp.bot_bot_set_int) tptp.zero_zero_complex)))
% 19.00/19.18  (assume a5837 (forall ((G tptp.fun_int_real)) (= (tptp.groups8778361861064173332t_real G tptp.bot_bot_set_int) tptp.zero_zero_real)))
% 19.00/19.18  (assume a5838 (forall ((F3 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (= (= (tptp.groups4541462559716669496nt_nat F F3) tptp.zero_zero_nat) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) F3)) (= (tptp.aa_int_nat F X3) tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a5839 (forall ((F3 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (= (= (tptp.groups5693394587270226106ex_nat F F3) tptp.zero_zero_nat) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) F3)) (= (tptp.aa_complex_nat F X3) tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a5840 (forall ((F3 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (= (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) F3) tptp.zero_zero_nat) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) F3)) (= (tptp.aa_nat_nat F X3) tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a5841 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups2073611262835488442omplex G A2) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a5842 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups3049146728041665814omplex G A2) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a5843 (forall ((A2 tptp.set_int) (G tptp.fun_int_real)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups8778361861064173332t_real G A2) tptp.zero_zero_real))))
% 19.00/19.18  (assume a5844 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups5808333547571424918x_real G A2) tptp.zero_zero_real))))
% 19.00/19.18  (assume a5845 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups2906978787729119204at_rat G A2) tptp.zero_zero_rat))))
% 19.00/19.18  (assume a5846 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups3906332499630173760nt_rat G A2) tptp.zero_zero_rat))))
% 19.00/19.18  (assume a5847 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups5058264527183730370ex_rat G A2) tptp.zero_zero_rat))))
% 19.00/19.18  (assume a5848 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups4541462559716669496nt_nat G A2) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5849 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups5693394587270226106ex_nat G A2) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a5850 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups3539618377306564664at_int G A2) tptp.zero_zero_int))))
% 19.00/19.18  (assume a5851 (forall ((A tptp.real) (A2 tptp.set_real) (B tptp.real)) (= (= (tptp.insert_real A A2) (tptp.insert_real B tptp.bot_bot_set_real)) (and (= A B) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real B tptp.bot_bot_set_real)))))))
% 19.00/19.18  (assume a5852 (forall ((A tptp.nat) (A2 tptp.set_nat) (B tptp.nat)) (= (= (tptp.insert_nat A A2) (tptp.insert_nat B tptp.bot_bot_set_nat)) (and (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 19.00/19.18  (assume a5853 (forall ((A tptp.int) (A2 tptp.set_int) (B tptp.int)) (= (= (tptp.insert_int A A2) (tptp.insert_int B tptp.bot_bot_set_int)) (and (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int B tptp.bot_bot_set_int)))))))
% 19.00/19.18  (assume a5854 (forall ((B tptp.real) (A tptp.real) (A2 tptp.set_real)) (= (= (tptp.insert_real B tptp.bot_bot_set_real) (tptp.insert_real A A2)) (and (= A B) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real B tptp.bot_bot_set_real)))))))
% 19.00/19.18  (assume a5855 (forall ((B tptp.nat) (A tptp.nat) (A2 tptp.set_nat)) (= (= (tptp.insert_nat B tptp.bot_bot_set_nat) (tptp.insert_nat A A2)) (and (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 19.00/19.18  (assume a5856 (forall ((B tptp.int) (A tptp.int) (A2 tptp.set_int)) (= (= (tptp.insert_int B tptp.bot_bot_set_int) (tptp.insert_int A A2)) (and (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int B tptp.bot_bot_set_int)))))))
% 19.00/19.18  (assume a5857 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (= (tptp.set_or1269000886237332187st_nat A B) (tptp.insert_nat C tptp.bot_bot_set_nat)) (and (= A B) (= B C)))))
% 19.00/19.18  (assume a5858 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.set_or1266510415728281911st_int A B) (tptp.insert_int C tptp.bot_bot_set_int)) (and (= A B) (= B C)))))
% 19.00/19.18  (assume a5859 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.set_or1222579329274155063t_real A B) (tptp.insert_real C tptp.bot_bot_set_real)) (and (= A B) (= B C)))))
% 19.00/19.18  (assume a5860 (forall ((A tptp.nat)) (= (tptp.set_or1269000886237332187st_nat A A) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a5861 (forall ((A tptp.int)) (= (tptp.set_or1266510415728281911st_int A A) (tptp.insert_int A tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a5862 (forall ((A tptp.real)) (= (tptp.set_or1222579329274155063t_real A A) (tptp.insert_real A tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a5863 (forall ((A tptp.real) (A2 tptp.set_real)) (= (tptp.insert_real A (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.insert_real A A2))))
% 19.00/19.18  (assume a5864 (forall ((A tptp.int) (A2 tptp.set_int)) (= (tptp.insert_int A (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.insert_int A A2))))
% 19.00/19.18  (assume a5865 (forall ((A tptp.nat) (A2 tptp.set_nat)) (= (tptp.insert_nat A (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.insert_nat A A2))))
% 19.00/19.18  (assume a5866 (forall ((A2 tptp.set_real) (A tptp.real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.minus_minus_set_real A2 (tptp.insert_real A B2)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.minus_minus_set_real A2 B2))))))
% 19.00/19.18  (assume a5867 (forall ((A2 tptp.set_int) (A tptp.int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A2 (tptp.insert_int A B2)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A2 B2))))))
% 19.00/19.18  (assume a5868 (forall ((A2 tptp.set_complex) (A tptp.complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A B2)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A2 B2))))))
% 19.00/19.18  (assume a5869 (forall ((A2 tptp.set_nat) (A tptp.nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat A B2)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat A2 B2))))))
% 19.00/19.18  (assume a5870 (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)))))
% 19.00/19.18  (assume a5871 (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)))))
% 19.00/19.18  (assume a5872 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups1794756597179926696omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fo A) B) S2) (tptp.aa_VEBT_VEBT_complex B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups1794756597179926696omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fo A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5873 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fp A) B) S2) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fp A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5874 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_fq A) B) S2) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_fq A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5875 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_fr A) B) S2) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_fr A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5876 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_fs A) B) S2) (tptp.aa_VEBT_VEBT_real B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_fs A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5877 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ft A) B) S2) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ft A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5878 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_fu A) B) S2) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_fu A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5879 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_fv A) B) S2) (tptp.aa_complex_real B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_fv A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5880 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_fw A) B) S2) (tptp.aa_VEBT_VEBT_rat B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_fw A) B) S2) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5881 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_fx A) B) S2) (tptp.aa_real_rat B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_fx A) B) S2) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5882 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups1794756597179926696omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fy A) B) S2) (tptp.aa_VEBT_VEBT_complex B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups1794756597179926696omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fy A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5883 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fz A) B) S2) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fz A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5884 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ga A) B) S2) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ga A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5885 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_gb A) B) S2) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_gb A) B) S2) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a5886 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_gc A) B) S2) (tptp.aa_VEBT_VEBT_real B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_gc A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5887 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_gd A) B) S2) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_gd A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5888 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_ge A) B) S2) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_ge A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5889 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_gf A) B) S2) (tptp.aa_complex_real B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_gf A) B) S2) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a5890 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_gg A) B) S2) (tptp.aa_VEBT_VEBT_rat B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_gg A) B) S2) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5891 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_gh A) B) S2) (tptp.aa_real_rat B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_gh A) B) S2) tptp.zero_zero_rat))))))
% 19.00/19.18  (assume a5892 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups2240296850493347238T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2240296850493347238T_real G A2)))))))
% 19.00/19.18  (assume a5893 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X2)) (tptp.groups8097168146408367636l_real G A2)))))))
% 19.00/19.18  (assume a5894 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X2)) (tptp.groups8778361861064173332t_real G A2)))))))
% 19.00/19.18  (assume a5895 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X2)) (tptp.groups5808333547571424918x_real G A2)))))))
% 19.00/19.18  (assume a5896 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups136491112297645522BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups136491112297645522BT_rat G A2)))))))
% 19.00/19.18  (assume a5897 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_real_rat G X2)) (tptp.groups1300246762558778688al_rat G A2)))))))
% 19.00/19.18  (assume a5898 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G X2)) (tptp.groups2906978787729119204at_rat G A2)))))))
% 19.00/19.18  (assume a5899 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_int_rat G X2)) (tptp.groups3906332499630173760nt_rat G A2)))))))
% 19.00/19.18  (assume a5900 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_complex_rat G X2)) (tptp.groups5058264527183730370ex_rat G A2)))))))
% 19.00/19.18  (assume a5901 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups771621172384141258BT_nat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_VEBT_VEBT_nat G X2)) (tptp.groups771621172384141258BT_nat G A2)))))))
% 19.00/19.18  (assume a5902 (forall ((A2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) (tptp.uminus8041839845116263051T_VEBT (tptp.insert_VEBT_VEBT B tptp.bot_bo8194388402131092736T_VEBT)))) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) A2))))))
% 19.00/19.18  (assume a5903 (forall ((A2 tptp.set_set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) (tptp.uminus613421341184616069et_nat (tptp.insert_set_nat B tptp.bot_bot_set_set_nat)))) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B) A2))))))
% 19.00/19.18  (assume a5904 (forall ((A2 tptp.set_real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.uminus612125837232591019t_real (tptp.insert_real B tptp.bot_bot_set_real)))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) A2))))))
% 19.00/19.18  (assume a5905 (forall ((A2 tptp.set_nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.uminus5710092332889474511et_nat (tptp.insert_nat B tptp.bot_bot_set_nat)))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) A2))))))
% 19.00/19.18  (assume a5906 (forall ((A2 tptp.set_int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.uminus1532241313380277803et_int (tptp.insert_int B tptp.bot_bot_set_int)))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) A2))))))
% 19.00/19.18  (assume a5907 (forall ((F tptp.fun_complex_int) (A2 tptp.set_complex)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.groups5690904116761175830ex_int F A2)) (tptp.groups7754918857620584856omplex (tptp.aTP_Lamm_gi F) A2))))
% 19.00/19.18  (assume a5908 (forall ((F tptp.fun_nat_int) (A2 tptp.set_nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.groups3539618377306564664at_int F A2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_gj F)) A2))))
% 19.00/19.18  (assume a5909 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups8778361861064173332t_real (tptp.aTP_Lamm_gk F) A2))))
% 19.00/19.18  (assume a5910 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups3906332499630173760nt_rat (tptp.aTP_Lamm_gl F) A2))))
% 19.00/19.18  (assume a5911 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_gm F) A2))))
% 19.00/19.18  (assume a5912 (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)))))
% 19.00/19.18  (assume a5913 (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)))))
% 19.00/19.18  (assume a5914 (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))))
% 19.00/19.18  (assume a5915 (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))))
% 19.00/19.18  (assume a5916 (forall ((M tptp.num)) (= (tptp.unique3479559517661332726nteger M tptp.one) (tptp.produc1086072967326762835nteger (tptp.numera6620942414471956472nteger M) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.18  (assume a5917 (forall ((N tptp.nat) (X2 tptp.vEBT_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X2)) (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))
% 19.00/19.18  (assume a5918 (forall ((N tptp.nat) (X2 tptp.real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_real2 (tptp.replicate_real N X2)) (tptp.insert_real X2 tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a5919 (forall ((N tptp.nat) (X2 tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X2)) (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a5920 (forall ((N tptp.nat) (X2 tptp.int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X2)) (tptp.insert_int X2 tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a5921 (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.groups2073611262835488442omplex G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_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.groups2073611262835488442omplex G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a5922 (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.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_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.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a5923 (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.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_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.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a5924 (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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a5925 (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.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_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.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a5926 (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)))))
% 19.00/19.18  (assume a5927 (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)))))
% 19.00/19.18  (assume a5928 (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)))))
% 19.00/19.18  (assume a5929 (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)))))
% 19.00/19.18  (assume a5930 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger tptp.one)))))
% 19.00/19.18  (assume a5931 (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)))))
% 19.00/19.18  (assume a5932 (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)))))
% 19.00/19.18  (assume a5933 (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)))))
% 19.00/19.18  (assume a5934 (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)))))
% 19.00/19.18  (assume a5935 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger tptp.one)))))
% 19.00/19.18  (assume a5936 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_complex)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_gn C) A2) (tptp.aa_nat_complex C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_gn C) A2) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a5937 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_rat)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_go C) A2) (tptp.aa_nat_rat C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_go C) A2) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a5938 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_real)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_gp C)) A2) (tptp.aa_nat_real C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_gp C)) A2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a5939 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_complex) (D tptp.fun_nat_complex)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_gq C) D) A2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex C tptp.zero_zero_nat)) (tptp.aa_nat_complex D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_gq C) D) A2) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a5940 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_rat) (D tptp.fun_nat_rat)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_gr C) D) A2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat C tptp.zero_zero_nat)) (tptp.aa_nat_rat D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_gr C) D) A2) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a5941 (forall ((A2 tptp.set_nat) (C tptp.fun_nat_real) (D tptp.fun_nat_real)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_gs C) D)) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real C tptp.zero_zero_nat)) (tptp.aa_nat_real D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2)))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_gs C) D)) A2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a5942 (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)))))))))
% 19.00/19.18  (assume a5943 (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)))))))))
% 19.00/19.18  (assume a5944 (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)))))))))
% 19.00/19.18  (assume a5945 (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)))))))))
% 19.00/19.18  (assume a5946 (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)))))))))
% 19.00/19.18  (assume a5947 (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)))))))))
% 19.00/19.18  (assume a5948 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_gt) (tptp.unique5055182867167087721od_nat M N)))))
% 19.00/19.18  (assume a5949 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_gu (tptp.unique5052692396658037445od_int M N)))))
% 19.00/19.18  (assume a5950 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.produc6916734918728496179nteger tptp.aTP_Lamm_gv (tptp.unique3479559517661332726nteger M N)))))
% 19.00/19.18  (assume a5951 (forall ((A tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.insert_VEBT_VEBT A B2) (tptp.collect_VEBT_VEBT (tptp.aa_set1728193350978918526T_bool (tptp.aTP_Lamm_gw A) B2)))))
% 19.00/19.18  (assume a5952 (forall ((A tptp.real) (B2 tptp.set_real)) (= (tptp.insert_real A B2) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_gx A) B2)))))
% 19.00/19.18  (assume a5953 (forall ((A tptp.list_nat) (B2 tptp.set_list_nat)) (= (tptp.insert_list_nat A B2) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_gy A) B2)))))
% 19.00/19.18  (assume a5954 (forall ((A tptp.set_nat) (B2 tptp.set_set_nat)) (= (tptp.insert_set_nat A B2) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_gz A) B2)))))
% 19.00/19.18  (assume a5955 (forall ((A tptp.nat) (B2 tptp.set_nat)) (= (tptp.insert_nat A B2) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ha A) B2)))))
% 19.00/19.18  (assume a5956 (forall ((A tptp.int) (B2 tptp.set_int)) (= (tptp.insert_int A B2) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_hb A) B2)))))
% 19.00/19.18  (assume a5957 (forall ((A tptp.real) (P tptp.fun_real_bool)) (= (tptp.insert_real A (tptp.collect_real P)) (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_hc A) P)))))
% 19.00/19.18  (assume a5958 (forall ((A tptp.list_nat) (P tptp.fun_list_nat_bool)) (= (tptp.insert_list_nat A (tptp.collect_list_nat P)) (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_hd A) P)))))
% 19.00/19.18  (assume a5959 (forall ((A tptp.set_nat) (P tptp.fun_set_nat_bool)) (= (tptp.insert_set_nat A (tptp.collect_set_nat P)) (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_he A) P)))))
% 19.00/19.18  (assume a5960 (forall ((A tptp.nat) (P tptp.fun_nat_bool)) (= (tptp.insert_nat A (tptp.collect_nat P)) (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_hf A) P)))))
% 19.00/19.18  (assume a5961 (forall ((A tptp.int) (P tptp.fun_int_bool)) (= (tptp.insert_int A (tptp.collect_int P)) (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_hg A) P)))))
% 19.00/19.18  (assume a5962 (forall ((A tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (exists ((B8 tptp.set_nat)) (and (= A2 (tptp.insert_nat A B8)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B8))))))))
% 19.00/19.18  (assume a5963 (forall ((A tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (exists ((B8 tptp.set_VEBT_VEBT)) (and (= A2 (tptp.insert_VEBT_VEBT A B8)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) B8))))))))
% 19.00/19.18  (assume a5964 (forall ((A tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (exists ((B8 tptp.set_int)) (and (= A2 (tptp.insert_int A B8)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B8))))))))
% 19.00/19.18  (assume a5965 (forall ((A tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (exists ((B8 tptp.set_set_nat)) (and (= A2 (tptp.insert_set_nat A B8)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) B8))))))))
% 19.00/19.18  (assume a5966 (forall ((A tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (exists ((B8 tptp.set_real)) (and (= A2 (tptp.insert_real A B8)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B8))))))))
% 19.00/19.18  (assume a5967 (forall ((X2 tptp.nat) (Y tptp.nat) (A2 tptp.set_nat)) (= (tptp.insert_nat X2 (tptp.insert_nat Y A2)) (tptp.insert_nat Y (tptp.insert_nat X2 A2)))))
% 19.00/19.18  (assume a5968 (forall ((X2 tptp.int) (Y tptp.int) (A2 tptp.set_int)) (= (tptp.insert_int X2 (tptp.insert_int Y A2)) (tptp.insert_int Y (tptp.insert_int X2 A2)))))
% 19.00/19.18  (assume a5969 (forall ((X2 tptp.real) (Y tptp.real) (A2 tptp.set_real)) (= (tptp.insert_real X2 (tptp.insert_real Y A2)) (tptp.insert_real Y (tptp.insert_real X2 A2)))))
% 19.00/19.18  (assume a5970 (forall ((A tptp.nat) (A2 tptp.set_nat) (B tptp.nat) (B2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) B2))) (= (= (tptp.insert_nat A A2) (tptp.insert_nat B B2)) (and (=> (= A B) (= A2 B2)) (=> (not (= A B)) (exists ((C6 tptp.set_nat)) (and (= A2 (tptp.insert_nat B C6)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) C6))) (= B2 (tptp.insert_nat A C6)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C6))))))))))))
% 19.00/19.18  (assume a5971 (forall ((A tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) B2))) (= (= (tptp.insert_VEBT_VEBT A A2) (tptp.insert_VEBT_VEBT B B2)) (and (=> (= A B) (= A2 B2)) (=> (not (= A B)) (exists ((C6 tptp.set_VEBT_VEBT)) (and (= A2 (tptp.insert_VEBT_VEBT B C6)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) C6))) (= B2 (tptp.insert_VEBT_VEBT A C6)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) C6))))))))))))
% 19.00/19.18  (assume a5972 (forall ((A tptp.int) (A2 tptp.set_int) (B tptp.int) (B2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) B2))) (= (= (tptp.insert_int A A2) (tptp.insert_int B B2)) (and (=> (= A B) (= A2 B2)) (=> (not (= A B)) (exists ((C6 tptp.set_int)) (and (= A2 (tptp.insert_int B C6)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) C6))) (= B2 (tptp.insert_int A C6)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C6))))))))))))
% 19.00/19.18  (assume a5973 (forall ((A tptp.set_nat) (A2 tptp.set_set_nat) (B tptp.set_nat) (B2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B) B2))) (= (= (tptp.insert_set_nat A A2) (tptp.insert_set_nat B B2)) (and (=> (= A B) (= A2 B2)) (=> (not (= A B)) (exists ((C6 tptp.set_set_nat)) (and (= A2 (tptp.insert_set_nat B C6)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B) C6))) (= B2 (tptp.insert_set_nat A C6)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) C6))))))))))))
% 19.00/19.18  (assume a5974 (forall ((A tptp.real) (A2 tptp.set_real) (B tptp.real) (B2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) B2))) (= (= (tptp.insert_real A A2) (tptp.insert_real B B2)) (and (=> (= A B) (= A2 B2)) (=> (not (= A B)) (exists ((C6 tptp.set_real)) (and (= A2 (tptp.insert_real B C6)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) C6))) (= B2 (tptp.insert_real A C6)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C6))))))))))))
% 19.00/19.18  (assume a5975 (forall ((A tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.insert_nat A A2) A2))))
% 19.00/19.18  (assume a5976 (forall ((A tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.insert_VEBT_VEBT A A2) A2))))
% 19.00/19.18  (assume a5977 (forall ((A tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.insert_int A A2) A2))))
% 19.00/19.18  (assume a5978 (forall ((A tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (= (tptp.insert_set_nat A A2) A2))))
% 19.00/19.18  (assume a5979 (forall ((A tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.insert_real A A2) A2))))
% 19.00/19.18  (assume a5980 (forall ((X2 tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2))) (= (= (tptp.insert_nat X2 A2) (tptp.insert_nat X2 B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5981 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2))) (= (= (tptp.insert_VEBT_VEBT X2 A2) (tptp.insert_VEBT_VEBT X2 B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5982 (forall ((X2 tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2))) (= (= (tptp.insert_int X2 A2) (tptp.insert_int X2 B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5983 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2))) (= (= (tptp.insert_set_nat X2 A2) (tptp.insert_set_nat X2 B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5984 (forall ((X2 tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2))) (= (= (tptp.insert_real X2 A2) (tptp.insert_real X2 B2)) (= A2 B2))))))
% 19.00/19.18  (assume a5985 (forall ((X2 tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (not (forall ((B8 tptp.set_nat)) (=> (= A2 (tptp.insert_nat X2 B8)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B8))))))))
% 19.00/19.18  (assume a5986 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (not (forall ((B8 tptp.set_VEBT_VEBT)) (=> (= A2 (tptp.insert_VEBT_VEBT X2 B8)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B8))))))))
% 19.00/19.18  (assume a5987 (forall ((X2 tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (not (forall ((B8 tptp.set_int)) (=> (= A2 (tptp.insert_int X2 B8)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B8))))))))
% 19.00/19.18  (assume a5988 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (not (forall ((B8 tptp.set_set_nat)) (=> (= A2 (tptp.insert_set_nat X2 B8)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B8))))))))
% 19.00/19.18  (assume a5989 (forall ((X2 tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (not (forall ((B8 tptp.set_real)) (=> (= A2 (tptp.insert_real X2 B8)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B8))))))))
% 19.00/19.18  (assume a5990 (forall ((A tptp.nat) (B2 tptp.set_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B B2))))))
% 19.00/19.18  (assume a5991 (forall ((A tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) B2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT B B2))))))
% 19.00/19.18  (assume a5992 (forall ((A tptp.int) (B2 tptp.set_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B B2))))))
% 19.00/19.18  (assume a5993 (forall ((A tptp.set_nat) (B2 tptp.set_set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) B2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat B B2))))))
% 19.00/19.18  (assume a5994 (forall ((A tptp.real) (B2 tptp.set_real) (B tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B B2))))))
% 19.00/19.18  (assume a5995 (forall ((A tptp.nat) (B2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat A B2)))))
% 19.00/19.18  (assume a5996 (forall ((A tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT A B2)))))
% 19.00/19.18  (assume a5997 (forall ((A tptp.int) (B2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int A B2)))))
% 19.00/19.18  (assume a5998 (forall ((A tptp.set_nat) (B2 tptp.set_set_nat)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat A B2)))))
% 19.00/19.18  (assume a5999 (forall ((A tptp.real) (B2 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real A B2)))))
% 19.00/19.18  (assume a6000 (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B A2))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))))))
% 19.00/19.18  (assume a6001 (forall ((A tptp.vEBT_VEBT) (B tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) (tptp.insert_VEBT_VEBT B A2))) (=> (not (= A B)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))))))
% 19.00/19.18  (assume a6002 (forall ((A tptp.int) (B tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B A2))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))))))
% 19.00/19.18  (assume a6003 (forall ((A tptp.set_nat) (B tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) (tptp.insert_set_nat B A2))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2))))))
% 19.00/19.18  (assume a6004 (forall ((A tptp.real) (B tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B A2))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))))))
% 19.00/19.18  (assume a6005 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups2240296850493347238T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.groups2240296850493347238T_real G A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups2240296850493347238T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2240296850493347238T_real G A2))))))))
% 19.00/19.18  (assume a6006 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X2 A2)) (tptp.groups8097168146408367636l_real G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X2)) (tptp.groups8097168146408367636l_real G A2))))))))
% 19.00/19.18  (assume a6007 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X2 A2)) (tptp.groups8778361861064173332t_real G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X2)) (tptp.groups8778361861064173332t_real G A2))))))))
% 19.00/19.18  (assume a6008 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X2 A2)) (tptp.groups5808333547571424918x_real G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X2)) (tptp.groups5808333547571424918x_real G A2))))))))
% 19.00/19.18  (assume a6009 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups136491112297645522BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.groups136491112297645522BT_rat G A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups136491112297645522BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups136491112297645522BT_rat G A2))))))))
% 19.00/19.18  (assume a6010 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X2 A2)) (tptp.groups1300246762558778688al_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_real_rat G X2)) (tptp.groups1300246762558778688al_rat G A2))))))))
% 19.00/19.18  (assume a6011 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X2 A2)) (tptp.groups2906978787729119204at_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G X2)) (tptp.groups2906978787729119204at_rat G A2))))))))
% 19.00/19.18  (assume a6012 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X2 A2)) (tptp.groups3906332499630173760nt_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_int_rat G X2)) (tptp.groups3906332499630173760nt_rat G A2))))))))
% 19.00/19.18  (assume a6013 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X2 A2)) (tptp.groups5058264527183730370ex_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_complex_rat G X2)) (tptp.groups5058264527183730370ex_rat G A2))))))))
% 19.00/19.18  (assume a6014 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups771621172384141258BT_nat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.groups771621172384141258BT_nat G A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups771621172384141258BT_nat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_VEBT_VEBT_nat G X2)) (tptp.groups771621172384141258BT_nat G A2))))))))
% 19.00/19.18  (assume a6015 (forall ((G tptp.fun_nat_complex) (A2 tptp.set_nat)) (=> (not (= (tptp.groups2073611262835488442omplex G A2) tptp.zero_zero_complex)) (not (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (= (tptp.aa_nat_complex G A3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a6016 (forall ((G tptp.fun_VE5569070535936029429omplex) (A2 tptp.set_VEBT_VEBT)) (=> (not (= (tptp.groups1794756597179926696omplex G A2) tptp.zero_zero_complex)) (not (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a6017 (forall ((G tptp.fun_int_complex) (A2 tptp.set_int)) (=> (not (= (tptp.groups3049146728041665814omplex G A2) tptp.zero_zero_complex)) (not (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (= (tptp.aa_int_complex G A3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a6018 (forall ((G tptp.fun_real_complex) (A2 tptp.set_real)) (=> (not (= (tptp.groups5754745047067104278omplex G A2) tptp.zero_zero_complex)) (not (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a6019 (forall ((G tptp.fun_VEBT_VEBT_real) (A2 tptp.set_VEBT_VEBT)) (=> (not (= (tptp.groups2240296850493347238T_real G A2) tptp.zero_zero_real)) (not (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6020 (forall ((G tptp.fun_int_real) (A2 tptp.set_int)) (=> (not (= (tptp.groups8778361861064173332t_real G A2) tptp.zero_zero_real)) (not (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (= (tptp.aa_int_real G A3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6021 (forall ((G tptp.fun_real_real) (A2 tptp.set_real)) (=> (not (= (tptp.groups8097168146408367636l_real G A2) tptp.zero_zero_real)) (not (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (= (tptp.aa_real_real G A3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6022 (forall ((G tptp.fun_nat_rat) (A2 tptp.set_nat)) (=> (not (= (tptp.groups2906978787729119204at_rat G A2) tptp.zero_zero_rat)) (not (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (= (tptp.aa_nat_rat G A3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6023 (forall ((G tptp.fun_VEBT_VEBT_rat) (A2 tptp.set_VEBT_VEBT)) (=> (not (= (tptp.groups136491112297645522BT_rat G A2) tptp.zero_zero_rat)) (not (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (= (tptp.aa_VEBT_VEBT_rat G A3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6024 (forall ((G tptp.fun_int_rat) (A2 tptp.set_int)) (=> (not (= (tptp.groups3906332499630173760nt_rat G A2) tptp.zero_zero_rat)) (not (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (= (tptp.aa_int_rat G A3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6025 (forall ((A2 tptp.set_int) (G tptp.fun_int_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (= (tptp.aa_int_int G X4) tptp.zero_zero_int))) (= (tptp.groups4538972089207619220nt_int G A2) tptp.zero_zero_int))))
% 19.00/19.18  (assume a6026 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (= (tptp.aa_nat_nat G X4) tptp.zero_zero_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A2) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6027 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (= (tptp.aa_complex_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups7754918857620584856omplex G A2) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a6028 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (= (tptp.aa_nat_real G X4) tptp.zero_zero_real))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) A2) tptp.zero_zero_real))))
% 19.00/19.18  (assume a6029 (forall ((X22 tptp.num) (X32 tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit1 X32)))))
% 19.00/19.18  (assume a6030 (forall ((X32 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 X32)))))
% 19.00/19.18  (assume a6031 (forall ((B tptp.vEBT_VEBT) (A tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (= B A))))
% 19.00/19.18  (assume a6032 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (= B A))))
% 19.00/19.18  (assume a6033 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.insert_real A tptp.bot_bot_set_real))) (= B A))))
% 19.00/19.18  (assume a6034 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) (tptp.insert_nat A tptp.bot_bot_set_nat))) (= B A))))
% 19.00/19.18  (assume a6035 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.insert_int A tptp.bot_bot_set_int))) (= B A))))
% 19.00/19.18  (assume a6036 (forall ((B tptp.vEBT_VEBT) (A tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (= B A))))
% 19.00/19.18  (assume a6037 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat B) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (= B A))))
% 19.00/19.18  (assume a6038 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.insert_real A tptp.bot_bot_set_real))) (= B A))))
% 19.00/19.18  (assume a6039 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) (tptp.insert_nat A tptp.bot_bot_set_nat))) (= B A))))
% 19.00/19.18  (assume a6040 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.insert_int A tptp.bot_bot_set_int))) (= B A))))
% 19.00/19.18  (assume a6041 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (= (tptp.insert_real A (tptp.insert_real B tptp.bot_bot_set_real)) (tptp.insert_real C (tptp.insert_real D tptp.bot_bot_set_real))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 19.00/19.18  (assume a6042 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (= (tptp.insert_nat A (tptp.insert_nat B tptp.bot_bot_set_nat)) (tptp.insert_nat C (tptp.insert_nat D tptp.bot_bot_set_nat))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 19.00/19.18  (assume a6043 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (= (tptp.insert_int A (tptp.insert_int B tptp.bot_bot_set_int)) (tptp.insert_int C (tptp.insert_int D tptp.bot_bot_set_int))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 19.00/19.18  (assume a6044 (forall ((A tptp.real) (A2 tptp.set_real)) (not (= (tptp.insert_real A A2) tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a6045 (forall ((A tptp.nat) (A2 tptp.set_nat)) (not (= (tptp.insert_nat A A2) tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a6046 (forall ((A tptp.int) (A2 tptp.set_int)) (not (= (tptp.insert_int A A2) tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a6047 (forall ((A tptp.real) (B tptp.real)) (=> (= (tptp.insert_real A tptp.bot_bot_set_real) (tptp.insert_real B tptp.bot_bot_set_real)) (= A B))))
% 19.00/19.18  (assume a6048 (forall ((A tptp.nat) (B tptp.nat)) (=> (= (tptp.insert_nat A tptp.bot_bot_set_nat) (tptp.insert_nat B tptp.bot_bot_set_nat)) (= A B))))
% 19.00/19.18  (assume a6049 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.insert_int A tptp.bot_bot_set_int) (tptp.insert_int B tptp.bot_bot_set_int)) (= A B))))
% 19.00/19.18  (assume a6050 (forall ((A2 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.insert_real A A2))))))
% 19.00/19.18  (assume a6051 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.insert_nat A A2))))))
% 19.00/19.18  (assume a6052 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.insert_int A A2))))))
% 19.00/19.18  (assume a6053 (forall ((A2 tptp.set_complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.insert_complex A A2))))))
% 19.00/19.18  (assume a6054 (forall ((C4 tptp.set_nat) (D5 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat C4) D5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.insert_nat A C4)) (tptp.insert_nat A D5))))))
% 19.00/19.18  (assume a6055 (forall ((C4 tptp.set_real) (D5 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C4) D5)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.insert_real A C4)) (tptp.insert_real A D5))))))
% 19.00/19.18  (assume a6056 (forall ((C4 tptp.set_int) (D5 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C4) D5)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int A C4)) (tptp.insert_int A D5))))))
% 19.00/19.18  (assume a6057 (forall ((X2 tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X2 B2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2))))))
% 19.00/19.18  (assume a6058 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) (tptp.insert_VEBT_VEBT X2 B2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2))))))
% 19.00/19.18  (assume a6059 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat) (B2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) (tptp.insert_set_nat X2 B2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2))))))
% 19.00/19.18  (assume a6060 (forall ((X2 tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X2 B2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2))))))
% 19.00/19.18  (assume a6061 (forall ((X2 tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X2 B2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2))))))
% 19.00/19.18  (assume a6062 (forall ((B2 tptp.set_nat) (A tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) (tptp.insert_nat A B2)))))
% 19.00/19.18  (assume a6063 (forall ((B2 tptp.set_real) (A tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) (tptp.insert_real A B2)))))
% 19.00/19.18  (assume a6064 (forall ((B2 tptp.set_int) (A tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) (tptp.insert_int A B2)))))
% 19.00/19.18  (assume a6065 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat B B2))))))
% 19.00/19.18  (assume a6066 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (B tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real B B2))))))
% 19.00/19.18  (assume a6067 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int B B2))))))
% 19.00/19.18  (assume a6068 (forall ((X2 tptp.nat) (A2 tptp.set_nat) (X6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat X6) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.insert_nat X2 X6)) A2))))))
% 19.00/19.18  (assume a6069 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (X6 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT X6) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.insert_VEBT_VEBT X2 X6)) A2))))))
% 19.00/19.18  (assume a6070 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat) (X6 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat X6) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.insert_set_nat X2 X6)) A2))))))
% 19.00/19.18  (assume a6071 (forall ((X2 tptp.real) (A2 tptp.set_real) (X6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X6) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.insert_real X2 X6)) A2))))))
% 19.00/19.18  (assume a6072 (forall ((X2 tptp.int) (A2 tptp.set_int) (X6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X6) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int X2 X6)) A2))))))
% 19.00/19.18  (assume a6073 (forall ((X2 tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2)) (= (tptp.minus_5127226145743854075T_VEBT (tptp.insert_VEBT_VEBT X2 A2) B2) (tptp.minus_5127226145743854075T_VEBT A2 B2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2))) (= (tptp.minus_5127226145743854075T_VEBT (tptp.insert_VEBT_VEBT X2 A2) B2) (tptp.insert_VEBT_VEBT X2 (tptp.minus_5127226145743854075T_VEBT A2 B2)))))))
% 19.00/19.18  (assume a6074 (forall ((X2 tptp.int) (B2 tptp.set_int) (A2 tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2)) (= (tptp.minus_minus_set_int (tptp.insert_int X2 A2) B2) (tptp.minus_minus_set_int A2 B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2))) (= (tptp.minus_minus_set_int (tptp.insert_int X2 A2) B2) (tptp.insert_int X2 (tptp.minus_minus_set_int A2 B2)))))))
% 19.00/19.18  (assume a6075 (forall ((X2 tptp.set_nat) (B2 tptp.set_set_nat) (A2 tptp.set_set_nat)) (and (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2)) (= (tptp.minus_2163939370556025621et_nat (tptp.insert_set_nat X2 A2) B2) (tptp.minus_2163939370556025621et_nat A2 B2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2))) (= (tptp.minus_2163939370556025621et_nat (tptp.insert_set_nat X2 A2) B2) (tptp.insert_set_nat X2 (tptp.minus_2163939370556025621et_nat A2 B2)))))))
% 19.00/19.18  (assume a6076 (forall ((X2 tptp.real) (B2 tptp.set_real) (A2 tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2)) (= (tptp.minus_minus_set_real (tptp.insert_real X2 A2) B2) (tptp.minus_minus_set_real A2 B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2))) (= (tptp.minus_minus_set_real (tptp.insert_real X2 A2) B2) (tptp.insert_real X2 (tptp.minus_minus_set_real A2 B2)))))))
% 19.00/19.18  (assume a6077 (forall ((X2 tptp.nat) (B2 tptp.set_nat) (A2 tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2)) (= (tptp.minus_minus_set_nat (tptp.insert_nat X2 A2) B2) (tptp.minus_minus_set_nat A2 B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2))) (= (tptp.minus_minus_set_nat (tptp.insert_nat X2 A2) B2) (tptp.insert_nat X2 (tptp.minus_minus_set_nat A2 B2)))))))
% 19.00/19.18  (assume a6078 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) K5)) (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.groups2906978787729119204at_rat F K5)) (tptp.groups2906978787729119204at_rat G K5))))))
% 19.00/19.18  (assume a6079 (forall ((K5 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F I3)) (tptp.aa_VEBT_VEBT_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups136491112297645522BT_rat F K5)) (tptp.groups136491112297645522BT_rat G K5))))))
% 19.00/19.18  (assume a6080 (forall ((K5 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) K5)) (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.groups3906332499630173760nt_rat F K5)) (tptp.groups3906332499630173760nt_rat G K5))))))
% 19.00/19.18  (assume a6081 (forall ((K5 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) K5)) (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.groups1300246762558778688al_rat F K5)) (tptp.groups1300246762558778688al_rat G K5))))))
% 19.00/19.18  (assume a6082 (forall ((K5 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F I3)) (tptp.aa_VEBT_VEBT_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups771621172384141258BT_nat F K5)) (tptp.groups771621172384141258BT_nat G K5))))))
% 19.00/19.18  (assume a6083 (forall ((K5 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I3)) (tptp.aa_int_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups4541462559716669496nt_nat F K5)) (tptp.groups4541462559716669496nt_nat G K5))))))
% 19.00/19.18  (assume a6084 (forall ((K5 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I3)) (tptp.aa_real_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1935376822645274424al_nat F K5)) (tptp.groups1935376822645274424al_nat G K5))))))
% 19.00/19.18  (assume a6085 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F I3)) (tptp.aa_nat_int G I3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F K5)) (tptp.groups3539618377306564664at_int G K5))))))
% 19.00/19.18  (assume a6086 (forall ((K5 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_int) (G tptp.fun_VEBT_VEBT_int)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_VEBT_VEBT_int F I3)) (tptp.aa_VEBT_VEBT_int G I3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups769130701875090982BT_int F K5)) (tptp.groups769130701875090982BT_int G K5))))))
% 19.00/19.18  (assume a6087 (forall ((K5 tptp.set_real) (F tptp.fun_real_int) (G tptp.fun_real_int)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int F I3)) (tptp.aa_real_int G I3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups1932886352136224148al_int F K5)) (tptp.groups1932886352136224148al_int G K5))))))
% 19.00/19.18  (assume a6088 (forall ((G tptp.fun_int_int) (H tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.groups4538972089207619220nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_hh G) H) A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G A2)) (tptp.groups4538972089207619220nt_int H A2)))))
% 19.00/19.18  (assume a6089 (forall ((G tptp.fun_nat_nat) (H tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_hi G) H)) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat H) A2)))))
% 19.00/19.18  (assume a6090 (forall ((G tptp.fun_complex_complex) (H tptp.fun_complex_complex) (A2 tptp.set_complex)) (= (tptp.groups7754918857620584856omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_hj G) H) A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G A2)) (tptp.groups7754918857620584856omplex H A2)))))
% 19.00/19.18  (assume a6091 (forall ((G tptp.fun_nat_real) (H tptp.fun_nat_real) (A2 tptp.set_nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_hk G) H)) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) A2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real H) A2)))))
% 19.00/19.18  (assume a6092 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_int) (G tptp.fun_VE294566951569886236nt_int) (R tptp.fun_VE3303673267288458579t_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups769130701875090982BT_int (tptp.aa_fun4615758601980977314BT_int (tptp.aa_fun627869447348354137BT_int (tptp.aTP_Lamm_hm B2) G) R) A2) (tptp.groups4538972089207619220nt_int (tptp.aa_fun5422038952152218214nt_int (tptp.aa_fun3638225402958239493nt_int (tptp.aTP_Lamm_ho A2) G) R) B2))))))
% 19.00/19.18  (assume a6093 (forall ((A2 tptp.set_real) (B2 tptp.set_int) (G tptp.fun_real_fun_int_int) (R tptp.fun_re8661203372455305201t_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups1932886352136224148al_int (tptp.aa_fun529217645232493962al_int (tptp.aa_fun5832317237790237469al_int (tptp.aTP_Lamm_hq B2) G) R) A2) (tptp.groups4538972089207619220nt_int (tptp.aa_fun5532095235224157706nt_int (tptp.aa_fun4786959800906006429nt_int (tptp.aTP_Lamm_hs A2) G) R) B2))))))
% 19.00/19.18  (assume a6094 (forall ((A2 tptp.set_nat) (B2 tptp.set_int) (G tptp.fun_nat_fun_int_int) (R tptp.fun_nat_fun_int_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups3539618377306564664at_int (tptp.aa_fun3504929462025808522at_int (tptp.aa_fun3325927984641084153at_int (tptp.aTP_Lamm_hu B2) G) R) A2) (tptp.groups4538972089207619220nt_int (tptp.aa_fun4504283173926863078nt_int (tptp.aa_fun5512849559334105941nt_int (tptp.aTP_Lamm_hw A2) G) R) B2))))))
% 19.00/19.18  (assume a6095 (forall ((A2 tptp.set_complex) (B2 tptp.set_int) (G tptp.fun_co333780937270390912nt_int) (R tptp.fun_co2381122952212249071t_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun3700423334941611530ex_int (tptp.aa_fun3520494530470439451ex_int (tptp.aTP_Lamm_hy B2) G) R) A2) (tptp.groups4538972089207619220nt_int (tptp.aa_fun855801025254967176nt_int (tptp.aa_fun315996177946036377nt_int (tptp.aTP_Lamm_ib A2) G) R) B2))))))
% 19.00/19.18  (assume a6096 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_nat) (G tptp.fun_VE597728521808591204at_nat) (R tptp.fun_VE3763956218935105199t_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups771621172384141258BT_nat (tptp.aa_fun1096289392377091562BT_nat (tptp.aa_fun7476968357888788569BT_nat (tptp.aTP_Lamm_id B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5562694175296226570at_nat (tptp.aa_fun8318684123515291377at_nat (tptp.aTP_Lamm_if A2) G) R)) B2))))))
% 19.00/19.18  (assume a6097 (forall ((A2 tptp.set_real) (B2 tptp.set_nat) (G tptp.fun_real_fun_nat_nat) (R tptp.fun_re9121486324101951821t_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun5804151645385689226al_nat (tptp.aa_fun8436216498351771861al_nat (tptp.aTP_Lamm_ih B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5672750458368166062at_nat (tptp.aa_fun6824837968375615225at_nat (tptp.aTP_Lamm_ij A2) G) R)) B2))))))
% 19.00/19.18  (assume a6098 (forall ((A2 tptp.set_int) (B2 tptp.set_nat) (G tptp.fun_int_fun_nat_nat) (R tptp.fun_int_fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups4541462559716669496nt_nat (tptp.aa_fun5132377469993263754nt_nat (tptp.aa_fun348247319442030677nt_nat (tptp.aTP_Lamm_il B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun4133023758092209198at_nat (tptp.aa_fun7384697781603784697at_nat (tptp.aTP_Lamm_in A2) G) R)) B2))))))
% 19.00/19.18  (assume a6099 (forall ((A2 tptp.set_complex) (B2 tptp.set_nat) (G tptp.fun_co636942507509095880at_nat) (R tptp.fun_co2841405903858895691t_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun9050545535516344074ex_nat (tptp.aa_fun2757644259618170323ex_nat (tptp.aTP_Lamm_ip B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun996456248398975532at_nat (tptp.aa_fun8754082201773474805at_nat (tptp.aTP_Lamm_is A2) G) R)) B2))))))
% 19.00/19.18  (assume a6100 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_complex) (G tptp.fun_VE2006399705683203104omplex) (R tptp.fun_VE2128610149277289041x_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (= (tptp.groups1794756597179926696omplex (tptp.aa_fun6203732500129703078omplex (tptp.aa_fun7613540521737166425omplex (tptp.aTP_Lamm_iu B2) G) R) A2) (tptp.groups7754918857620584856omplex (tptp.aa_fun1095524714264483688omplex (tptp.aa_fun8876071380179997707omplex (tptp.aTP_Lamm_iw A2) G) R) B2))))))
% 19.00/19.18  (assume a6101 (forall ((A2 tptp.set_real) (B2 tptp.set_complex) (G tptp.fun_re7208826350674946562omplex) (R tptp.fun_re3010880487650781423x_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun4873726854752153866omplex (tptp.aa_fun883667864959905433omplex (tptp.aTP_Lamm_iy B2) G) R) A2) (tptp.groups7754918857620584856omplex (tptp.aa_fun8128191506076533516omplex (tptp.aa_fun840110154952133019omplex (tptp.aTP_Lamm_ja A2) G) R) B2))))))
% 19.00/19.18  (assume a6102 (forall ((A tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups771621172384141258BT_nat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups771621172384141258BT_nat F A2)) (tptp.aa_VEBT_VEBT_nat F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups771621172384141258BT_nat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups771621172384141258BT_nat F A2))))))
% 19.00/19.18  (assume a6103 (forall ((A tptp.set_nat) (A2 tptp.set_set_nat) (F tptp.fun_set_nat_nat)) (and (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (= (tptp.groups8294997508430121362at_nat F (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups8294997508430121362at_nat F A2)) (tptp.aa_set_nat_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2))) (= (tptp.groups8294997508430121362at_nat F (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (tptp.groups8294997508430121362at_nat F A2))))))
% 19.00/19.18  (assume a6104 (forall ((A tptp.real) (A2 tptp.set_real) (F tptp.fun_real_nat)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups1935376822645274424al_nat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat F A2)) (tptp.aa_real_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups1935376822645274424al_nat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1935376822645274424al_nat F A2))))))
% 19.00/19.18  (assume a6105 (forall ((A tptp.int) (A2 tptp.set_int) (F tptp.fun_int_nat)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups4541462559716669496nt_nat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.aa_int_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups4541462559716669496nt_nat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups4541462559716669496nt_nat F A2))))))
% 19.00/19.18  (assume a6106 (forall ((A tptp.nat) (A2 tptp.set_nat) (F tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_nat_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2))))))
% 19.00/19.18  (assume a6107 (forall ((P tptp.fun_list_nat_bool) (A tptp.list_nat)) (and (=> (tptp.pp (tptp.aa_list_nat_bool P A)) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jb P) A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))) (=> (not (tptp.pp (tptp.aa_list_nat_bool P A))) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jb P) A)) tptp.bot_bot_set_list_nat)))))
% 19.00/19.18  (assume a6108 (forall ((P tptp.fun_set_nat_bool) (A tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool P A)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jc P) A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (=> (not (tptp.pp (tptp.aa_set_nat_bool P A))) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jc P) A)) tptp.bot_bot_set_set_nat)))))
% 19.00/19.18  (assume a6109 (forall ((P tptp.fun_real_bool) (A tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool P A)) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jd P) A)) (tptp.insert_real A tptp.bot_bot_set_real))) (=> (not (tptp.pp (tptp.aa_real_bool P A))) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jd P) A)) tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a6110 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool P A)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_je P) A)) (tptp.insert_nat A tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool P A))) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_je P) A)) tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a6111 (forall ((P tptp.fun_int_bool) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool P A)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jf P) A)) (tptp.insert_int A tptp.bot_bot_set_int))) (=> (not (tptp.pp (tptp.aa_int_bool P A))) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jf P) A)) tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a6112 (forall ((P tptp.fun_list_nat_bool) (A tptp.list_nat)) (and (=> (tptp.pp (tptp.aa_list_nat_bool P A)) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jg P) A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))) (=> (not (tptp.pp (tptp.aa_list_nat_bool P A))) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jg P) A)) tptp.bot_bot_set_list_nat)))))
% 19.00/19.18  (assume a6113 (forall ((P tptp.fun_set_nat_bool) (A tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool P A)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jh P) A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (=> (not (tptp.pp (tptp.aa_set_nat_bool P A))) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jh P) A)) tptp.bot_bot_set_set_nat)))))
% 19.00/19.18  (assume a6114 (forall ((P tptp.fun_real_bool) (A tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool P A)) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ji P) A)) (tptp.insert_real A tptp.bot_bot_set_real))) (=> (not (tptp.pp (tptp.aa_real_bool P A))) (= (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ji P) A)) tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a6115 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool P A)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_jj P) A)) (tptp.insert_nat A tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool P A))) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_jj P) A)) tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a6116 (forall ((P tptp.fun_int_bool) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool P A)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jk P) A)) (tptp.insert_int A tptp.bot_bot_set_int))) (=> (not (tptp.pp (tptp.aa_int_bool P A))) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jk P) A)) tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a6117 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups2240296850493347238T_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2240296850493347238T_real G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6118 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5808333547571424918x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X2)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6119 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups136491112297645522BT_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups136491112297645522BT_rat G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6120 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5058264527183730370ex_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_complex_rat G X2)) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6121 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups771621172384141258BT_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_VEBT_VEBT_nat G X2)) (tptp.groups771621172384141258BT_nat G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6122 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5693394587270226106ex_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X2)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6123 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups769130701875090982BT_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_VEBT_VEBT_int G X2)) (tptp.groups769130701875090982BT_int G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6124 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups5690904116761175830ex_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int G X2)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6125 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups8097168146408367636l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X2)) (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real)))))))))
% 19.00/19.18  (assume a6126 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups1300246762558778688al_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_real_rat G X2)) (tptp.groups1300246762558778688al_rat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real)))))))))
% 19.00/19.18  (assume a6127 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X2)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.18  (assume a6128 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_complex_rat G X2)) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.18  (assume a6129 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X2)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.18  (assume a6130 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_int) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5690904116761175830ex_int G (tptp.insert_complex X2 A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int G X2)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.18  (assume a6131 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X2)) (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.18  (assume a6132 (forall ((A2 tptp.set_real) (G tptp.fun_real_rat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_real_rat G X2)) (tptp.groups1300246762558778688al_rat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.18  (assume a6133 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X2)) (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.18  (assume a6134 (forall ((A2 tptp.set_real) (G tptp.fun_real_int) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1932886352136224148al_int G (tptp.insert_real X2 A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X2)) (tptp.groups1932886352136224148al_int G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.18  (assume a6135 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X2)) (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))))))))
% 19.00/19.18  (assume a6136 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_int_rat G X2)) (tptp.groups3906332499630173760nt_rat G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))))))))
% 19.00/19.18  (assume a6137 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups2240296850493347238T_real F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups2240296850493347238T_real F A2)) (tptp.aa_VEBT_VEBT_real F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups2240296850493347238T_real F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups2240296850493347238T_real F A2)))))))
% 19.00/19.18  (assume a6138 (forall ((A2 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups5808333547571424918x_real F A2)) (tptp.aa_complex_real F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5808333547571424918x_real F A2)))))))
% 19.00/19.18  (assume a6139 (forall ((A2 tptp.set_real) (A tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups8097168146408367636l_real F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups8097168146408367636l_real F A2)) (tptp.aa_real_real F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups8097168146408367636l_real F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups8097168146408367636l_real F A2)))))))
% 19.00/19.18  (assume a6140 (forall ((A2 tptp.set_int) (A tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups8778361861064173332t_real F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups8778361861064173332t_real F A2)) (tptp.aa_int_real F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups8778361861064173332t_real F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups8778361861064173332t_real F A2)))))))
% 19.00/19.18  (assume a6141 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups136491112297645522BT_rat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups136491112297645522BT_rat F A2)) (tptp.aa_VEBT_VEBT_rat F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups136491112297645522BT_rat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups136491112297645522BT_rat F A2)))))))
% 19.00/19.18  (assume a6142 (forall ((A2 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.aa_complex_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5058264527183730370ex_rat F A2)))))))
% 19.00/19.18  (assume a6143 (forall ((A2 tptp.set_real) (A tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups1300246762558778688al_rat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups1300246762558778688al_rat F A2)) (tptp.aa_real_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups1300246762558778688al_rat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1300246762558778688al_rat F A2)))))))
% 19.00/19.18  (assume a6144 (forall ((A2 tptp.set_int) (A tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups3906332499630173760nt_rat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups3906332499630173760nt_rat F A2)) (tptp.aa_int_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups3906332499630173760nt_rat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups3906332499630173760nt_rat F A2)))))))
% 19.00/19.18  (assume a6145 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups769130701875090982BT_int F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups769130701875090982BT_int F A2)) (tptp.aa_VEBT_VEBT_int F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups769130701875090982BT_int F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups769130701875090982BT_int F A2)))))))
% 19.00/19.18  (assume a6146 (forall ((A2 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups5690904116761175830ex_int F A2)) (tptp.aa_complex_int F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5690904116761175830ex_int F A2)))))))
% 19.00/19.18  (assume a6147 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups2240296850493347238T_real F A2))))))
% 19.00/19.18  (assume a6148 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F A2))))))
% 19.00/19.18  (assume a6149 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F A2))))))
% 19.00/19.18  (assume a6150 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F A2))))))
% 19.00/19.18  (assume a6151 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups136491112297645522BT_rat F A2))))))
% 19.00/19.18  (assume a6152 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F A2))))))
% 19.00/19.18  (assume a6153 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F A2))))))
% 19.00/19.18  (assume a6154 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.groups771621172384141258BT_nat F A2))))))
% 19.00/19.18  (assume a6155 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_int_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.groups4541462559716669496nt_nat F A2))))))
% 19.00/19.18  (assume a6156 (forall ((A2 tptp.set_real) (F tptp.fun_real_nat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.groups1935376822645274424al_nat F A2))))))
% 19.00/19.18  (assume a6157 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_VEBT_VEBT_real F X4)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2240296850493347238T_real F A2)) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a6158 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X4)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F A2)) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a6159 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X4)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8097168146408367636l_real F A2)) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a6160 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F A2)) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a6161 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F X4)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups136491112297645522BT_rat F A2)) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a6162 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F A2)) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a6163 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F X4)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1300246762558778688al_rat F A2)) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a6164 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F X4)) tptp.zero_zero_nat)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups771621172384141258BT_nat F A2)) tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6165 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F X4)) tptp.zero_zero_nat)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups4541462559716669496nt_nat F A2)) tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6166 (forall ((A2 tptp.set_real) (F tptp.fun_real_nat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F X4)) tptp.zero_zero_nat)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1935376822645274424al_nat F A2)) tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6167 (forall ((F tptp.fun_VEBT_VEBT_rat) (I6 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (I tptp.vEBT_VEBT)) (=> (= (tptp.groups136491112297645522BT_rat F I6) (tptp.groups136491112297645522BT_rat G I6)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F I3)) (tptp.aa_VEBT_VEBT_rat G I3))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (= (tptp.aa_VEBT_VEBT_rat F I) (tptp.aa_VEBT_VEBT_rat G I))))))))
% 19.00/19.18  (assume a6168 (forall ((F tptp.fun_real_rat) (I6 tptp.set_real) (G tptp.fun_real_rat) (I tptp.real)) (=> (= (tptp.groups1300246762558778688al_rat F I6) (tptp.groups1300246762558778688al_rat G I6)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (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_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (= (tptp.aa_real_rat F I) (tptp.aa_real_rat G I))))))))
% 19.00/19.18  (assume a6169 (forall ((F tptp.fun_nat_rat) (I6 tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.nat)) (=> (= (tptp.groups2906978787729119204at_rat F I6) (tptp.groups2906978787729119204at_rat G I6)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (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_set_nat_bool (tptp.member_nat I) I6)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (= (tptp.aa_nat_rat F I) (tptp.aa_nat_rat G I))))))))
% 19.00/19.18  (assume a6170 (forall ((F tptp.fun_int_rat) (I6 tptp.set_int) (G tptp.fun_int_rat) (I tptp.int)) (=> (= (tptp.groups3906332499630173760nt_rat F I6) (tptp.groups3906332499630173760nt_rat G I6)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (= (tptp.aa_int_rat F I) (tptp.aa_int_rat G I))))))))
% 19.00/19.18  (assume a6171 (forall ((F tptp.fun_complex_rat) (I6 tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.complex)) (=> (= (tptp.groups5058264527183730370ex_rat F I6) (tptp.groups5058264527183730370ex_rat G I6)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (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_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (= (tptp.aa_complex_rat F I) (tptp.aa_complex_rat G I))))))))
% 19.00/19.18  (assume a6172 (forall ((F tptp.fun_VEBT_VEBT_nat) (I6 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (I tptp.vEBT_VEBT)) (=> (= (tptp.groups771621172384141258BT_nat F I6) (tptp.groups771621172384141258BT_nat G I6)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F I3)) (tptp.aa_VEBT_VEBT_nat G I3))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (= (tptp.aa_VEBT_VEBT_nat F I) (tptp.aa_VEBT_VEBT_nat G I))))))))
% 19.00/19.18  (assume a6173 (forall ((F tptp.fun_real_nat) (I6 tptp.set_real) (G tptp.fun_real_nat) (I tptp.real)) (=> (= (tptp.groups1935376822645274424al_nat F I6) (tptp.groups1935376822645274424al_nat G I6)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I3)) (tptp.aa_real_nat G I3))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (= (tptp.aa_real_nat F I) (tptp.aa_real_nat G I))))))))
% 19.00/19.18  (assume a6174 (forall ((F tptp.fun_int_nat) (I6 tptp.set_int) (G tptp.fun_int_nat) (I tptp.int)) (=> (= (tptp.groups4541462559716669496nt_nat F I6) (tptp.groups4541462559716669496nt_nat G I6)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I3)) (tptp.aa_int_nat G I3))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (= (tptp.aa_int_nat F I) (tptp.aa_int_nat G I))))))))
% 19.00/19.18  (assume a6175 (forall ((F tptp.fun_complex_nat) (I6 tptp.set_complex) (G tptp.fun_complex_nat) (I tptp.complex)) (=> (= (tptp.groups5693394587270226106ex_nat F I6) (tptp.groups5693394587270226106ex_nat G I6)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I3)) (tptp.aa_complex_nat G I3))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (= (tptp.aa_complex_nat F I) (tptp.aa_complex_nat G I))))))))
% 19.00/19.18  (assume a6176 (forall ((F tptp.fun_VEBT_VEBT_int) (I6 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_int) (I tptp.vEBT_VEBT)) (=> (= (tptp.groups769130701875090982BT_int F I6) (tptp.groups769130701875090982BT_int G I6)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_VEBT_VEBT_int F I3)) (tptp.aa_VEBT_VEBT_int G I3))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (= (tptp.aa_VEBT_VEBT_int F I) (tptp.aa_VEBT_VEBT_int G I))))))))
% 19.00/19.18  (assume a6177 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc X4)) A2)) (= (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc X4)) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc X4))))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A2))))))
% 19.00/19.18  (assume a6178 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A2))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc X4)) A2)) (= (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc X4)) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc X4))))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) A2) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) A2))))))
% 19.00/19.18  (assume a6179 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real) (C tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aa_fun910392650362481850T_real (tptp.aTP_Lamm_jl A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_VEBT_VEBT_real B A)) (tptp.groups2240296850493347238T_real C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aa_fun910392650362481850T_real (tptp.aTP_Lamm_jl A) B) C) S2) (tptp.groups2240296850493347238T_real C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6180 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real) (C tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jm A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real B A)) (tptp.groups5808333547571424918x_real C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jm A) B) C) S2) (tptp.groups5808333547571424918x_real C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6181 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_rat) (C tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aa_fun2693410532875676774BT_rat (tptp.aTP_Lamm_jn A) B) C) S2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_VEBT_VEBT_rat B A)) (tptp.groups136491112297645522BT_rat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aa_fun2693410532875676774BT_rat (tptp.aTP_Lamm_jn A) B) C) S2) (tptp.groups136491112297645522BT_rat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6182 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_rat) (C tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jo A) B) C) S2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_complex_rat B A)) (tptp.groups5058264527183730370ex_rat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jo A) B) C) S2) (tptp.groups5058264527183730370ex_rat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6183 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_nat) (C tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups771621172384141258BT_nat (tptp.aa_fun8284231930576791164BT_nat (tptp.aa_fun8778301808485728350BT_nat (tptp.aTP_Lamm_jp A) B) C) S2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_VEBT_VEBT_nat B A)) (tptp.groups771621172384141258BT_nat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups771621172384141258BT_nat (tptp.aa_fun8284231930576791164BT_nat (tptp.aa_fun8778301808485728350BT_nat (tptp.aTP_Lamm_jp A) B) C) S2) (tptp.groups771621172384141258BT_nat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6184 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_nat) (C tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_jq A) B) C) S2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat B A)) (tptp.groups5693394587270226106ex_nat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_jq A) B) C) S2) (tptp.groups5693394587270226106ex_nat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6185 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_int) (C tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups769130701875090982BT_int (tptp.aa_fun7144222995531728252BT_int (tptp.aa_fun7485955581636121530BT_int (tptp.aTP_Lamm_jr A) B) C) S2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_VEBT_VEBT_int B A)) (tptp.groups769130701875090982BT_int C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups769130701875090982BT_int (tptp.aa_fun7144222995531728252BT_int (tptp.aa_fun7485955581636121530BT_int (tptp.aTP_Lamm_jr A) B) C) S2) (tptp.groups769130701875090982BT_int C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.18  (assume a6186 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_int) (C tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_js A) B) C) S2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int B A)) (tptp.groups5690904116761175830ex_int C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_js A) B) C) S2) (tptp.groups5690904116761175830ex_int C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.18  (assume a6187 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real) (C tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_jt A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real B A)) (tptp.groups8097168146408367636l_real C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_jt A) B) C) S2) (tptp.groups8097168146408367636l_real C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 19.00/19.18  (assume a6188 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat) (C tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_ju A) B) C) S2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_real_rat B A)) (tptp.groups1300246762558778688al_rat C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_ju A) B) C) S2) (tptp.groups1300246762558778688al_rat C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 19.00/19.18  (assume a6189 (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)))))))))
% 19.00/19.18  (assume a6190 (forall ((A tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A)) (=> (not (= A tptp.bot_bot_set_complex)) (not (forall ((A5 tptp.set_complex)) (=> (exists ((A3 tptp.complex)) (= A (tptp.insert_complex A3 A5))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5))))))))))
% 19.00/19.18  (assume a6191 (forall ((A tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A)) (=> (not (= A tptp.bot_bot_set_real)) (not (forall ((A5 tptp.set_real)) (=> (exists ((A3 tptp.real)) (= A (tptp.insert_real A3 A5))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5))))))))))
% 19.00/19.18  (assume a6192 (forall ((A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A)) (=> (not (= A tptp.bot_bot_set_nat)) (not (forall ((A5 tptp.set_nat)) (=> (exists ((A3 tptp.nat)) (= A (tptp.insert_nat A3 A5))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5))))))))))
% 19.00/19.18  (assume a6193 (forall ((A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A)) (=> (not (= A tptp.bot_bot_set_int)) (not (forall ((A5 tptp.set_int)) (=> (exists ((A3 tptp.int)) (= A (tptp.insert_int A3 A5))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5))))))))))
% 19.00/19.18  (assume a6194 (forall ((A tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A)) (or (= A tptp.bot_bot_set_complex) (exists ((A7 tptp.set_complex) (A6 tptp.complex)) (and (= A (tptp.insert_complex A6 A7)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7))))))))
% 19.00/19.18  (assume a6195 (forall ((A tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A)) (or (= A tptp.bot_bot_set_real) (exists ((A7 tptp.set_real) (A6 tptp.real)) (and (= A (tptp.insert_real A6 A7)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7))))))))
% 19.00/19.18  (assume a6196 (forall ((A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A)) (or (= A tptp.bot_bot_set_nat) (exists ((A7 tptp.set_nat) (A6 tptp.nat)) (and (= A (tptp.insert_nat A6 A7)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7))))))))
% 19.00/19.18  (assume a6197 (forall ((A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A)) (or (= A tptp.bot_bot_set_int) (exists ((A7 tptp.set_int) (A6 tptp.int)) (and (= A (tptp.insert_int A6 A7)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7))))))))
% 19.00/19.18  (assume a6198 (forall ((F3 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT) (F4 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F4)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) F4))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P F4)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 F4))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P F3)))))))
% 19.00/19.18  (assume a6199 (forall ((F3 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F3)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (forall ((X4 tptp.set_nat) (F4 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F4)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat X4 F4))))))) (tptp.pp (tptp.aa_set_set_nat_bool P F3)))))))
% 19.00/19.18  (assume a6200 (forall ((F3 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (F4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) F4))) (=> (tptp.pp (tptp.aa_set_complex_bool P F4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 F4))))))) (tptp.pp (tptp.aa_set_complex_bool P F3)))))))
% 19.00/19.18  (assume a6201 (forall ((F3 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (F4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) F4))) (=> (tptp.pp (tptp.aa_set_real_bool P F4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 F4))))))) (tptp.pp (tptp.aa_set_real_bool P F3)))))))
% 19.00/19.18  (assume a6202 (forall ((F3 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (F4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 F4))))))) (tptp.pp (tptp.aa_set_nat_bool P F3)))))))
% 19.00/19.18  (assume a6203 (forall ((F3 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (F4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) F4))) (=> (tptp.pp (tptp.aa_set_int_bool P F4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 F4))))))) (tptp.pp (tptp.aa_set_int_bool P F3)))))))
% 19.00/19.18  (assume a6204 (forall ((F3 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F3)) (=> (not (= F3 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 tptp.bot_bo8194388402131092736T_VEBT)))) (=> (forall ((X4 tptp.vEBT_VEBT) (F4 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F4)) (=> (not (= F4 tptp.bot_bo8194388402131092736T_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) F4))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P F4)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 F4)))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P F3))))))))
% 19.00/19.18  (assume a6205 (forall ((F3 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F3)) (=> (not (= F3 tptp.bot_bot_set_set_nat)) (=> (forall ((X4 tptp.set_nat)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat X4 tptp.bot_bot_set_set_nat)))) (=> (forall ((X4 tptp.set_nat) (F4 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F4)) (=> (not (= F4 tptp.bot_bot_set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat X4 F4)))))))) (tptp.pp (tptp.aa_set_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6206 (forall ((F3 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (not (= F3 tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 tptp.bot_bot_set_complex)))) (=> (forall ((X4 tptp.complex) (F4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (not (= F4 tptp.bot_bot_set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) F4))) (=> (tptp.pp (tptp.aa_set_complex_bool P F4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 F4)))))))) (tptp.pp (tptp.aa_set_complex_bool P F3))))))))
% 19.00/19.18  (assume a6207 (forall ((F3 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (not (= F3 tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 tptp.bot_bot_set_real)))) (=> (forall ((X4 tptp.real) (F4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (not (= F4 tptp.bot_bot_set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) F4))) (=> (tptp.pp (tptp.aa_set_real_bool P F4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 F4)))))))) (tptp.pp (tptp.aa_set_real_bool P F3))))))))
% 19.00/19.18  (assume a6208 (forall ((F3 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (not (= F3 tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 tptp.bot_bot_set_nat)))) (=> (forall ((X4 tptp.nat) (F4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (not (= F4 tptp.bot_bot_set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 F4)))))))) (tptp.pp (tptp.aa_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6209 (forall ((F3 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (not (= F3 tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 tptp.bot_bot_set_int)))) (=> (forall ((X4 tptp.int) (F4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (not (= F4 tptp.bot_bot_set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) F4))) (=> (tptp.pp (tptp.aa_set_int_bool P F4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 F4)))))))) (tptp.pp (tptp.aa_set_int_bool P F3))))))))
% 19.00/19.18  (assume a6210 (forall ((P tptp.fun_se448528567104302406T_bool) (A2 tptp.set_VEBT_VEBT)) (=> (forall ((A5 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A5))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P A5)))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT) (F4 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F4)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) F4))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P F4)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 F4))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P A2)))))))
% 19.00/19.18  (assume a6211 (forall ((P tptp.fun_set_set_nat_bool) (A2 tptp.set_set_nat)) (=> (forall ((A5 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A5))) (tptp.pp (tptp.aa_set_set_nat_bool P A5)))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (forall ((X4 tptp.set_nat) (F4 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F4)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat X4 F4))))))) (tptp.pp (tptp.aa_set_set_nat_bool P A2)))))))
% 19.00/19.18  (assume a6212 (forall ((P tptp.fun_set_complex_bool) (A2 tptp.set_complex)) (=> (forall ((A5 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5))) (tptp.pp (tptp.aa_set_complex_bool P A5)))) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (F4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) F4))) (=> (tptp.pp (tptp.aa_set_complex_bool P F4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 F4))))))) (tptp.pp (tptp.aa_set_complex_bool P A2)))))))
% 19.00/19.18  (assume a6213 (forall ((P tptp.fun_set_real_bool) (A2 tptp.set_real)) (=> (forall ((A5 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5))) (tptp.pp (tptp.aa_set_real_bool P A5)))) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (F4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) F4))) (=> (tptp.pp (tptp.aa_set_real_bool P F4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 F4))))))) (tptp.pp (tptp.aa_set_real_bool P A2)))))))
% 19.00/19.18  (assume a6214 (forall ((P tptp.fun_set_nat_bool) (A2 tptp.set_nat)) (=> (forall ((A5 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5))) (tptp.pp (tptp.aa_set_nat_bool P A5)))) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (F4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) F4))) (=> (tptp.pp (tptp.aa_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 F4))))))) (tptp.pp (tptp.aa_set_nat_bool P A2)))))))
% 19.00/19.18  (assume a6215 (forall ((P tptp.fun_set_int_bool) (A2 tptp.set_int)) (=> (forall ((A5 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5))) (tptp.pp (tptp.aa_set_int_bool P A5)))) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (F4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) F4))) (=> (tptp.pp (tptp.aa_set_int_bool P F4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 F4))))))) (tptp.pp (tptp.aa_set_int_bool P A2)))))))
% 19.00/19.18  (assume a6216 (forall ((X6 tptp.set_real) (A tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X6) (tptp.insert_real A tptp.bot_bot_set_real))) (or (= X6 tptp.bot_bot_set_real) (= X6 (tptp.insert_real A tptp.bot_bot_set_real))))))
% 19.00/19.18  (assume a6217 (forall ((X6 tptp.set_nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat X6) (tptp.insert_nat A tptp.bot_bot_set_nat))) (or (= X6 tptp.bot_bot_set_nat) (= X6 (tptp.insert_nat A tptp.bot_bot_set_nat))))))
% 19.00/19.18  (assume a6218 (forall ((X6 tptp.set_int) (A tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X6) (tptp.insert_int A tptp.bot_bot_set_int))) (or (= X6 tptp.bot_bot_set_int) (= X6 (tptp.insert_int A tptp.bot_bot_set_int))))))
% 19.00/19.18  (assume a6219 (forall ((A2 tptp.set_real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X2 tptp.bot_bot_set_real))) (or (= A2 tptp.bot_bot_set_real) (= A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))
% 19.00/19.18  (assume a6220 (forall ((A2 tptp.set_nat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X2 tptp.bot_bot_set_nat))) (or (= A2 tptp.bot_bot_set_nat) (= A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))))))
% 19.00/19.18  (assume a6221 (forall ((A2 tptp.set_int) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X2 tptp.bot_bot_set_int))) (or (= A2 tptp.bot_bot_set_int) (= A2 (tptp.insert_int X2 tptp.bot_bot_set_int))))))
% 19.00/19.18  (assume a6222 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A B) (= (tptp.set_or1269000886237332187st_nat A B) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a6223 (forall ((A tptp.int) (B tptp.int)) (=> (= A B) (= (tptp.set_or1266510415728281911st_int A B) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a6224 (forall ((A tptp.real) (B tptp.real)) (=> (= A B) (= (tptp.set_or1222579329274155063t_real A B) (tptp.insert_real A tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a6225 (forall ((X2 tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.minus_5127226145743854075T_VEBT (tptp.insert_VEBT_VEBT X2 A2) (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)) A2))))
% 19.00/19.18  (assume a6226 (forall ((X2 tptp.set_nat) (A2 tptp.set_set_nat)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (= (tptp.minus_2163939370556025621et_nat (tptp.insert_set_nat X2 A2) (tptp.insert_set_nat X2 tptp.bot_bot_set_set_nat)) A2))))
% 19.00/19.18  (assume a6227 (forall ((X2 tptp.real) (A2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.minus_minus_set_real (tptp.insert_real X2 A2) (tptp.insert_real X2 tptp.bot_bot_set_real)) A2))))
% 19.00/19.18  (assume a6228 (forall ((X2 tptp.int) (A2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.minus_minus_set_int (tptp.insert_int X2 A2) (tptp.insert_int X2 tptp.bot_bot_set_int)) A2))))
% 19.00/19.18  (assume a6229 (forall ((X2 tptp.nat) (A2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.minus_minus_set_nat (tptp.insert_nat X2 A2) (tptp.insert_nat X2 tptp.bot_bot_set_nat)) A2))))
% 19.00/19.18  (assume a6230 (forall ((A2 tptp.set_real) (A tptp.real) (B2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 (tptp.insert_real A B2)) (tptp.minus_minus_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real)) B2))))
% 19.00/19.18  (assume a6231 (forall ((A2 tptp.set_int) (A tptp.int) (B2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 (tptp.insert_int A B2)) (tptp.minus_minus_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int)) B2))))
% 19.00/19.18  (assume a6232 (forall ((A2 tptp.set_nat) (A tptp.nat) (B2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 (tptp.insert_nat A B2)) (tptp.minus_minus_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat)) B2))))
% 19.00/19.18  (assume a6233 (forall ((A tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.insert_VEBT_VEBT A (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) A2))))
% 19.00/19.18  (assume a6234 (forall ((A tptp.set_nat) (A2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A) A2)) (= (tptp.insert_set_nat A (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) A2))))
% 19.00/19.18  (assume a6235 (forall ((A tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.insert_real A (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) A2))))
% 19.00/19.18  (assume a6236 (forall ((A tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.insert_int A (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) A2))))
% 19.00/19.18  (assume a6237 (forall ((A tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.insert_nat A (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) A2))))
% 19.00/19.18  (assume a6238 (forall ((A2 tptp.set_real) (A tptp.real) (B2 tptp.set_real)) (= (tptp.minus_minus_set_real A2 (tptp.insert_real A B2)) (tptp.minus_minus_set_real (tptp.minus_minus_set_real A2 B2) (tptp.insert_real A tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a6239 (forall ((A2 tptp.set_int) (A tptp.int) (B2 tptp.set_int)) (= (tptp.minus_minus_set_int A2 (tptp.insert_int A B2)) (tptp.minus_minus_set_int (tptp.minus_minus_set_int A2 B2) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a6240 (forall ((A2 tptp.set_nat) (A tptp.nat) (B2 tptp.set_nat)) (= (tptp.minus_minus_set_nat A2 (tptp.insert_nat A B2)) (tptp.minus_minus_set_nat (tptp.minus_minus_set_nat A2 B2) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a6241 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (C4 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) (tptp.minus_5127226145743854075T_VEBT B2 (tptp.insert_VEBT_VEBT X2 C4)))) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) (tptp.minus_5127226145743854075T_VEBT B2 C4))) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)))))))
% 19.00/19.18  (assume a6242 (forall ((A2 tptp.set_set_nat) (B2 tptp.set_set_nat) (X2 tptp.set_nat) (C4 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) (tptp.minus_2163939370556025621et_nat B2 (tptp.insert_set_nat X2 C4)))) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) (tptp.minus_2163939370556025621et_nat B2 C4))) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)))))))
% 19.00/19.18  (assume a6243 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X2 tptp.real) (C4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.minus_minus_set_real B2 (tptp.insert_real X2 C4)))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.minus_minus_set_real B2 C4))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)))))))
% 19.00/19.18  (assume a6244 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X2 tptp.nat) (C4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.minus_minus_set_nat B2 (tptp.insert_nat X2 C4)))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.minus_minus_set_nat B2 C4))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)))))))
% 19.00/19.18  (assume a6245 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X2 tptp.int) (C4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.minus_minus_set_int B2 (tptp.insert_int X2 C4)))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.minus_minus_set_int B2 C4))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)))))))
% 19.00/19.18  (assume a6246 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (= (tptp.groups1794756597179926696omplex G (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) (tptp.groups1794756597179926696omplex (tptp.aa_fun6792494735270171281omplex (tptp.aTP_Lamm_jv G) P) A2)))))
% 19.00/19.18  (assume a6247 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups5754745047067104278omplex G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) (tptp.groups5754745047067104278omplex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_jw G) P) A2)))))
% 19.00/19.18  (assume a6248 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_complex) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups2073611262835488442omplex G (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf A2) P))) (tptp.groups2073611262835488442omplex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_jx G) P) A2)))))
% 19.00/19.18  (assume a6249 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3049146728041665814omplex G (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg A2) P))) (tptp.groups3049146728041665814omplex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_jy G) P) A2)))))
% 19.00/19.18  (assume a6250 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (= (tptp.groups2240296850493347238T_real G (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) (tptp.groups2240296850493347238T_real (tptp.aa_fun2072160908118572431T_real (tptp.aTP_Lamm_jz G) P) A2)))))
% 19.00/19.18  (assume a6251 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups8097168146408367636l_real G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) (tptp.groups8097168146408367636l_real (tptp.aa_fun6348708079608492509l_real (tptp.aTP_Lamm_ka G) P) A2)))))
% 19.00/19.18  (assume a6252 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups8778361861064173332t_real G (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg A2) P))) (tptp.groups8778361861064173332t_real (tptp.aa_fun6974987029372589917t_real (tptp.aTP_Lamm_kb G) P) A2)))))
% 19.00/19.18  (assume a6253 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (P tptp.fun_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5808333547571424918x_real G (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_kc A2) P))) (tptp.groups5808333547571424918x_real (tptp.aa_fun2902006202505214429x_real (tptp.aTP_Lamm_kd G) P) A2)))))
% 19.00/19.18  (assume a6254 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (= (tptp.groups136491112297645522BT_rat G (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) (tptp.groups136491112297645522BT_rat (tptp.aa_fun3193099451372820155BT_rat (tptp.aTP_Lamm_ke G) P) A2)))))
% 19.00/19.18  (assume a6255 (forall ((A2 tptp.set_real) (G tptp.fun_real_rat) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1300246762558778688al_rat G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) (tptp.groups1300246762558778688al_rat (tptp.aa_fun7219699593533116937al_rat (tptp.aTP_Lamm_kf G) P) A2)))))
% 19.00/19.18  (assume a6256 (forall ((I tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT I tptp.bot_bo8194388402131092736T_VEBT)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F X4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_VEBT_VEBT_real F I)) (tptp.groups2240296850493347238T_real F A2))))))))
% 19.00/19.18  (assume a6257 (forall ((I tptp.complex) (A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex I tptp.bot_bot_set_complex)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I)) (tptp.groups5808333547571424918x_real F A2))))))))
% 19.00/19.18  (assume a6258 (forall ((I tptp.real) (A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) A2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real A2 (tptp.insert_real I tptp.bot_bot_set_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I)) (tptp.groups8097168146408367636l_real F A2))))))))
% 19.00/19.18  (assume a6259 (forall ((I tptp.int) (A2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int A2 (tptp.insert_int I tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I)) (tptp.groups8778361861064173332t_real F A2))))))))
% 19.00/19.18  (assume a6260 (forall ((I tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT I tptp.bot_bo8194388402131092736T_VEBT)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F X4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F I)) (tptp.groups136491112297645522BT_rat F A2))))))))
% 19.00/19.18  (assume a6261 (forall ((I tptp.complex) (A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex I tptp.bot_bot_set_complex)))) (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 X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I)) (tptp.groups5058264527183730370ex_rat F A2))))))))
% 19.00/19.18  (assume a6262 (forall ((I tptp.real) (A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) A2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real A2 (tptp.insert_real I tptp.bot_bot_set_real)))) (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 X4))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I)) (tptp.groups1300246762558778688al_rat F A2))))))))
% 19.00/19.18  (assume a6263 (forall ((I tptp.int) (A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int A2 (tptp.insert_int I tptp.bot_bot_set_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 F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I)) (tptp.groups3906332499630173760nt_rat F A2))))))))
% 19.00/19.18  (assume a6264 (forall ((I tptp.nat) (A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) A2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat A2 (tptp.insert_nat I tptp.bot_bot_set_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 F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I)) (tptp.groups2906978787729119204at_rat F A2))))))))
% 19.00/19.18  (assume a6265 (forall ((I tptp.vEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT I tptp.bot_bo8194388402131092736T_VEBT)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F X4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F I)) (tptp.groups771621172384141258BT_nat F A2))))))))
% 19.00/19.18  (assume a6266 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (F tptp.fun_VEBT_VEBT_nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat G X4)) (tptp.aa_VEBT_VEBT_nat F X4))))) (= (tptp.groups771621172384141258BT_nat (tptp.aa_fun8284231930576791164BT_nat (tptp.aTP_Lamm_kg G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups771621172384141258BT_nat F A2)) (tptp.groups771621172384141258BT_nat G A2))))))
% 19.00/19.18  (assume a6267 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat) (F tptp.fun_int_nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat G X4)) (tptp.aa_int_nat F X4))))) (= (tptp.groups4541462559716669496nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aTP_Lamm_kh G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4541462559716669496nt_nat G A2))))))
% 19.00/19.18  (assume a6268 (forall ((A2 tptp.set_set_nat) (G tptp.fun_set_nat_nat) (F tptp.fun_set_nat_nat)) (=> (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat G X4)) (tptp.aa_set_nat_nat F X4))))) (= (tptp.groups8294997508430121362at_nat (tptp.aa_fun3386010016858254564at_nat (tptp.aTP_Lamm_ki G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups8294997508430121362at_nat F A2)) (tptp.groups8294997508430121362at_nat G A2))))))
% 19.00/19.18  (assume a6269 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat) (F tptp.fun_real_nat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat G X4)) (tptp.aa_real_nat F X4))))) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_kj G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat F A2)) (tptp.groups1935376822645274424al_nat G A2))))))
% 19.00/19.18  (assume a6270 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_nat) (F tptp.fun_nat_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat G X4)) (tptp.aa_nat_nat F X4))))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_kk G) F)) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A2))))))
% 19.00/19.18  (assume a6271 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6272 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6273 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_kn G) K)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6274 (forall ((G tptp.fun_nat_real) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (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.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko G) K)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6275 (forall ((S tptp.set_int) (T tptp.set_int) (G tptp.fun_int_real) (I tptp.fun_int_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real G X4))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) T)) (= (tptp.aa_int_int I Xa) X4) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X4)) (tptp.aa_int_real G Xa))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F S)) (tptp.groups8778361861064173332t_real G T)))))))))
% 19.00/19.18  (assume a6276 (forall ((S tptp.set_int) (T tptp.set_complex) (G tptp.fun_complex_real) (I tptp.fun_complex_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real G X4))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_int I Xa) X4) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X4)) (tptp.aa_complex_real G Xa))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F S)) (tptp.groups5808333547571424918x_real G T)))))))))
% 19.00/19.18  (assume a6277 (forall ((S tptp.set_complex) (T tptp.set_int) (G tptp.fun_int_real) (I tptp.fun_int_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) T)) (= (tptp.aa_int_complex I Xa) X4) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X4)) (tptp.aa_int_real G Xa))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F S)) (tptp.groups8778361861064173332t_real G T)))))))))
% 19.00/19.18  (assume a6278 (forall ((S tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_real) (I tptp.fun_complex_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I Xa) X4) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X4)) (tptp.aa_complex_real G Xa))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F S)) (tptp.groups5808333547571424918x_real G T)))))))))
% 19.00/19.18  (assume a6279 (forall ((S tptp.set_nat) (T tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.fun_nat_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_nat I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F S)) (tptp.groups2906978787729119204at_rat G T)))))))))
% 19.00/19.18  (assume a6280 (forall ((S tptp.set_nat) (T tptp.set_int) (G tptp.fun_int_rat) (I tptp.fun_int_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) T)) (= (tptp.aa_int_nat I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_int_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F S)) (tptp.groups3906332499630173760nt_rat G T)))))))))
% 19.00/19.18  (assume a6281 (forall ((S tptp.set_nat) (T tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.fun_complex_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_nat I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_complex_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F S)) (tptp.groups5058264527183730370ex_rat G T)))))))))
% 19.00/19.18  (assume a6282 (forall ((S tptp.set_int) (T tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.fun_nat_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_int I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) (tptp.aa_nat_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F S)) (tptp.groups2906978787729119204at_rat G T)))))))))
% 19.00/19.18  (assume a6283 (forall ((S tptp.set_int) (T tptp.set_int) (G tptp.fun_int_rat) (I tptp.fun_int_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) T)) (= (tptp.aa_int_int I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F S)) (tptp.groups3906332499630173760nt_rat G T)))))))))
% 19.00/19.18  (assume a6284 (forall ((S tptp.set_int) (T tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.fun_complex_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) T)) (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 G X4))))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_int I Xa) X4) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) (tptp.aa_complex_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F S)) (tptp.groups5058264527183730370ex_rat G T)))))))))
% 19.00/19.18  (assume a6285 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F X4))))) (= (= (tptp.groups2240296850493347238T_real F A2) tptp.zero_zero_real) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2)) (= (tptp.aa_VEBT_VEBT_real F X3) tptp.zero_zero_real))))))))
% 19.00/19.18  (assume a6286 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (= (= (tptp.groups8097168146408367636l_real F A2) tptp.zero_zero_real) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)) (= (tptp.aa_real_real F X3) tptp.zero_zero_real))))))))
% 19.00/19.18  (assume a6287 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X4))))) (= (= (tptp.groups8778361861064173332t_real F A2) tptp.zero_zero_real) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_real F X3) tptp.zero_zero_real))))))))
% 19.00/19.18  (assume a6288 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X4))))) (= (= (tptp.groups5808333547571424918x_real F A2) tptp.zero_zero_real) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_real F X3) tptp.zero_zero_real))))))))
% 19.00/19.18  (assume a6289 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F X4))))) (= (= (tptp.groups136491112297645522BT_rat F A2) tptp.zero_zero_rat) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2)) (= (tptp.aa_VEBT_VEBT_rat F X3) tptp.zero_zero_rat))))))))
% 19.00/19.18  (assume a6290 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (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 X4))))) (= (= (tptp.groups1300246762558778688al_rat F A2) tptp.zero_zero_rat) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)) (= (tptp.aa_real_rat F X3) tptp.zero_zero_rat))))))))
% 19.00/19.18  (assume a6291 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (= (= (tptp.groups2906978787729119204at_rat F A2) tptp.zero_zero_rat) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_rat F X3) tptp.zero_zero_rat))))))))
% 19.00/19.18  (assume a6292 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))))) (= (= (tptp.groups3906332499630173760nt_rat F A2) tptp.zero_zero_rat) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_rat F X3) tptp.zero_zero_rat))))))))
% 19.00/19.18  (assume a6293 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (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 X4))))) (= (= (tptp.groups5058264527183730370ex_rat F A2) tptp.zero_zero_rat) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_rat F X3) tptp.zero_zero_rat))))))))
% 19.00/19.18  (assume a6294 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F X4))))) (= (= (tptp.groups771621172384141258BT_nat F A2) tptp.zero_zero_nat) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A2)) (= (tptp.aa_VEBT_VEBT_nat F X3) tptp.zero_zero_nat))))))))
% 19.00/19.18  (assume a6295 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X4)) (tptp.aa_int_real G X4))))) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X)) (tptp.aa_int_real G X))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8778361861064173332t_real F A2)) (tptp.groups8778361861064173332t_real G A2))))))))
% 19.00/19.18  (assume a6296 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X4)) (tptp.aa_complex_real G X4))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X)) (tptp.aa_complex_real G X))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real G A2))))))))
% 19.00/19.18  (assume a6297 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat G X4))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X)) (tptp.aa_nat_rat G X))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups2906978787729119204at_rat F A2)) (tptp.groups2906978787729119204at_rat G A2))))))))
% 19.00/19.18  (assume a6298 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat G X4))))) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X)) (tptp.aa_int_rat G X))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups3906332499630173760nt_rat F A2)) (tptp.groups3906332499630173760nt_rat G A2))))))))
% 19.00/19.18  (assume a6299 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X4)) (tptp.aa_complex_rat G X4))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F X)) (tptp.aa_complex_rat G X))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.groups5058264527183730370ex_rat G A2))))))))
% 19.00/19.18  (assume a6300 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F X4)) (tptp.aa_int_nat G X4))))) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat F X)) (tptp.aa_int_nat G X))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4541462559716669496nt_nat G A2))))))))
% 19.00/19.18  (assume a6301 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F X4)) (tptp.aa_complex_nat G X4))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_complex_nat F X)) (tptp.aa_complex_nat G X))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups5693394587270226106ex_nat G A2))))))))
% 19.00/19.18  (assume a6302 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F X4)) (tptp.aa_nat_int G X4))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F X)) (tptp.aa_nat_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F A2)) (tptp.groups3539618377306564664at_int G A2))))))))
% 19.00/19.18  (assume a6303 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F X4)) (tptp.aa_complex_int G X4))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_complex_int F X)) (tptp.aa_complex_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups5690904116761175830ex_int F A2)) (tptp.groups5690904116761175830ex_int G A2))))))))
% 19.00/19.18  (assume a6304 (forall ((A2 tptp.set_int) (F tptp.fun_int_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F X4)) (tptp.aa_int_int G X4))))) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int F X)) (tptp.aa_int_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups4538972089207619220nt_int G A2))))))))
% 19.00/19.18  (assume a6305 (forall ((R tptp.fun_co1378794544173401837x_bool) (S2 tptp.set_nat) (H tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.zero_zero_complex) tptp.zero_zero_complex)) (=> (forall ((X1 tptp.complex) (Y1 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X1) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y1) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.plus_plus_complex X1) Y1)) (tptp.aa_complex_complex (tptp.plus_plus_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_nat_complex H X4)) (tptp.aa_nat_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups2073611262835488442omplex H S2)) (tptp.groups2073611262835488442omplex G S2)))))))))
% 19.00/19.18  (assume a6306 (forall ((R tptp.fun_co1378794544173401837x_bool) (S2 tptp.set_int) (H tptp.fun_int_complex) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.zero_zero_complex) tptp.zero_zero_complex)) (=> (forall ((X1 tptp.complex) (Y1 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X1) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y1) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.plus_plus_complex X1) Y1)) (tptp.aa_complex_complex (tptp.plus_plus_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_int_complex H X4)) (tptp.aa_int_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups3049146728041665814omplex H S2)) (tptp.groups3049146728041665814omplex G S2)))))))))
% 19.00/19.18  (assume a6307 (forall ((R tptp.fun_re1255401033344146673l_bool) (S2 tptp.set_int) (H tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X1 tptp.real) (Y1 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X1) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y1) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X1) Y1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_int_real H X4)) (tptp.aa_int_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups8778361861064173332t_real H S2)) (tptp.groups8778361861064173332t_real G S2)))))))))
% 19.00/19.18  (assume a6308 (forall ((R tptp.fun_re1255401033344146673l_bool) (S2 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X1 tptp.real) (Y1 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X1) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y1) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X1) Y1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_complex_real H X4)) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups5808333547571424918x_real H S2)) (tptp.groups5808333547571424918x_real G S2)))))))))
% 19.00/19.18  (assume a6309 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_nat) (H tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.zero_zero_rat) tptp.zero_zero_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.plus_plus_rat X1) Y1)) (tptp.aa_rat_rat (tptp.plus_plus_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_nat_rat H X4)) (tptp.aa_nat_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups2906978787729119204at_rat H S2)) (tptp.groups2906978787729119204at_rat G S2)))))))))
% 19.00/19.18  (assume a6310 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_int) (H tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.zero_zero_rat) tptp.zero_zero_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.plus_plus_rat X1) Y1)) (tptp.aa_rat_rat (tptp.plus_plus_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_int_rat H X4)) (tptp.aa_int_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups3906332499630173760nt_rat H S2)) (tptp.groups3906332499630173760nt_rat G S2)))))))))
% 19.00/19.18  (assume a6311 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.zero_zero_rat) tptp.zero_zero_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.plus_plus_rat X1) Y1)) (tptp.aa_rat_rat (tptp.plus_plus_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_complex_rat H X4)) (tptp.aa_complex_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups5058264527183730370ex_rat H S2)) (tptp.groups5058264527183730370ex_rat G S2)))))))))
% 19.00/19.18  (assume a6312 (forall ((R tptp.fun_nat_fun_nat_bool) (S2 tptp.set_int) (H tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X1 tptp.nat) (Y1 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X1) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y1) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X1) Y1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_int_nat H X4)) (tptp.aa_int_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.groups4541462559716669496nt_nat H S2)) (tptp.groups4541462559716669496nt_nat G S2)))))))))
% 19.00/19.18  (assume a6313 (forall ((R tptp.fun_nat_fun_nat_bool) (S2 tptp.set_complex) (H tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X1 tptp.nat) (Y1 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X1) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y1) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X1) Y1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_complex_nat H X4)) (tptp.aa_complex_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.groups5693394587270226106ex_nat H S2)) (tptp.groups5693394587270226106ex_nat G S2)))))))))
% 19.00/19.18  (assume a6314 (forall ((R tptp.fun_int_fun_int_bool) (S2 tptp.set_nat) (H tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X1 tptp.int) (Y1 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X1) X23)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y1) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X1) Y1)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_nat_int H X4)) (tptp.aa_nat_int G X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.groups3539618377306564664at_int H S2)) (tptp.groups3539618377306564664at_int G S2)))))))))
% 19.00/19.18  (assume a6315 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_VEBT_VEBT_real F X4)) (tptp.aa_VEBT_VEBT_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2240296850493347238T_real F A2)) (tptp.groups2240296850493347238T_real G A2))))))))
% 19.00/19.18  (assume a6316 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= A2 tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X4)) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real G A2))))))))
% 19.00/19.18  (assume a6317 (forall ((A2 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= A2 tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) (tptp.aa_real_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8097168146408367636l_real F A2)) (tptp.groups8097168146408367636l_real G A2))))))))
% 19.00/19.18  (assume a6318 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= A2 tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X4)) (tptp.aa_int_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8778361861064173332t_real F A2)) (tptp.groups8778361861064173332t_real G A2))))))))
% 19.00/19.18  (assume a6319 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_VEBT_VEBT_rat F X4)) (tptp.aa_VEBT_VEBT_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups136491112297645522BT_rat F A2)) (tptp.groups136491112297645522BT_rat G A2))))))))
% 19.00/19.18  (assume a6320 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= A2 tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F X4)) (tptp.aa_complex_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.groups5058264527183730370ex_rat G A2))))))))
% 19.00/19.18  (assume a6321 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= A2 tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X4)) (tptp.aa_real_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1300246762558778688al_rat F A2)) (tptp.groups1300246762558778688al_rat G A2))))))))
% 19.00/19.18  (assume a6322 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= A2 tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X4)) (tptp.aa_nat_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups2906978787729119204at_rat F A2)) (tptp.groups2906978787729119204at_rat G A2))))))))
% 19.00/19.18  (assume a6323 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= A2 tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X4)) (tptp.aa_int_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups3906332499630173760nt_rat F A2)) (tptp.groups3906332499630173760nt_rat G A2))))))))
% 19.00/19.18  (assume a6324 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_VEBT_VEBT_nat F X4)) (tptp.aa_VEBT_VEBT_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups771621172384141258BT_nat F A2)) (tptp.groups771621172384141258BT_nat G A2))))))))
% 19.00/19.18  (assume a6325 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_VE3165209603783583043T_VEBT) (J tptp.fun_VE3165209603783583043T_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_VEB5832953974749077948T_VEBT I (tptp.aa_VEB5832953974749077948T_VEBT J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_VEB5832953974749077948T_VEBT J (tptp.aa_VEB5832953974749077948T_VEBT I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups1794756597179926696omplex G S2) (tptp.groups1794756597179926696omplex H T3)))))))))))))
% 19.00/19.18  (assume a6326 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_real) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_real_VEBT_VEBT) (J tptp.fun_VEBT_VEBT_real) (T3 tptp.set_real) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_real_VEBT_VEBT I (tptp.aa_VEBT_VEBT_real J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_VEBT_VEBT_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_VEBT_VEBT_real J (tptp.aa_real_VEBT_VEBT I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_real_VEBT_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_VEBT_VEBT_real J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups1794756597179926696omplex G S2) (tptp.groups5754745047067104278omplex H T3)))))))))))))
% 19.00/19.18  (assume a6327 (forall ((S4 tptp.set_real) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_real) (I tptp.fun_VEBT_VEBT_real) (J tptp.fun_real_VEBT_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_real_complex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_VEBT_VEBT_real I (tptp.aa_real_VEBT_VEBT J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_real_VEBT_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_real_VEBT_VEBT J (tptp.aa_VEBT_VEBT_real I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_VEBT_VEBT_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_real_VEBT_VEBT J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups5754745047067104278omplex G S2) (tptp.groups1794756597179926696omplex H T3)))))))))))))
% 19.00/19.18  (assume a6328 (forall ((S4 tptp.set_real) (T4 tptp.set_real) (S2 tptp.set_real) (I tptp.fun_real_real) (J tptp.fun_real_real) (T3 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_real_real I (tptp.aa_real_real J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_real_real J (tptp.aa_real_real I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_real_real J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups5754745047067104278omplex G S2) (tptp.groups5754745047067104278omplex H T3)))))))))))))
% 19.00/19.18  (assume a6329 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_int) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_int_VEBT_VEBT) (J tptp.fun_VEBT_VEBT_int) (T3 tptp.set_int) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_int_VEBT_VEBT I (tptp.aa_VEBT_VEBT_int J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_VEBT_VEBT_int J A3)) (tptp.minus_minus_set_int T3 T4))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (= (tptp.aa_VEBT_VEBT_int J (tptp.aa_int_VEBT_VEBT I B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_int_VEBT_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T4)) (= (tptp.aa_int_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_int_complex H (tptp.aa_VEBT_VEBT_int J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups1794756597179926696omplex G S2) (tptp.groups3049146728041665814omplex H T3)))))))))))))
% 19.00/19.18  (assume a6330 (forall ((S4 tptp.set_real) (T4 tptp.set_int) (S2 tptp.set_real) (I tptp.fun_int_real) (J tptp.fun_real_int) (T3 tptp.set_int) (G tptp.fun_real_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_int_real I (tptp.aa_real_int J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int J A3)) (tptp.minus_minus_set_int T3 T4))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (= (tptp.aa_real_int J (tptp.aa_int_real I B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T4)) (= (tptp.aa_int_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_int_complex H (tptp.aa_real_int J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups5754745047067104278omplex G S2) (tptp.groups3049146728041665814omplex H T3)))))))))))))
% 19.00/19.18  (assume a6331 (forall ((S4 tptp.set_int) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_int) (I tptp.fun_VEBT_VEBT_int) (J tptp.fun_int_VEBT_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_int_complex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (= (tptp.aa_VEBT_VEBT_int I (tptp.aa_int_VEBT_VEBT J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_int_VEBT_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_int_VEBT_VEBT J (tptp.aa_VEBT_VEBT_int I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_VEBT_VEBT_int I B3)) (tptp.minus_minus_set_int S2 S4))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S4)) (= (tptp.aa_int_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_int_VEBT_VEBT J A3)) (tptp.aa_int_complex G A3)))) (= (tptp.groups3049146728041665814omplex G S2) (tptp.groups1794756597179926696omplex H T3)))))))))))))
% 19.00/19.18  (assume a6332 (forall ((S4 tptp.set_int) (T4 tptp.set_real) (S2 tptp.set_int) (I tptp.fun_real_int) (J tptp.fun_int_real) (T3 tptp.set_real) (G tptp.fun_int_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (= (tptp.aa_real_int I (tptp.aa_int_real J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_int_real J (tptp.aa_real_int I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int I B3)) (tptp.minus_minus_set_int S2 S4))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S4)) (= (tptp.aa_int_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_int_real J A3)) (tptp.aa_int_complex G A3)))) (= (tptp.groups3049146728041665814omplex G S2) (tptp.groups5754745047067104278omplex H T3)))))))))))))
% 19.00/19.18  (assume a6333 (forall ((S4 tptp.set_int) (T4 tptp.set_int) (S2 tptp.set_int) (I tptp.fun_int_int) (J tptp.fun_int_int) (T3 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (= (tptp.aa_int_int I (tptp.aa_int_int J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int J A3)) (tptp.minus_minus_set_int T3 T4))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (= (tptp.aa_int_int J (tptp.aa_int_int I B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int I B3)) (tptp.minus_minus_set_int S2 S4))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S4)) (= (tptp.aa_int_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T4)) (= (tptp.aa_int_complex H B3) tptp.zero_zero_complex))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S2)) (= (tptp.aa_int_complex H (tptp.aa_int_int J A3)) (tptp.aa_int_complex G A3)))) (= (tptp.groups3049146728041665814omplex G S2) (tptp.groups3049146728041665814omplex H T3)))))))))))))
% 19.00/19.18  (assume a6334 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_VE3165209603783583043T_VEBT) (J tptp.fun_VE3165209603783583043T_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_VEB5832953974749077948T_VEBT I (tptp.aa_VEB5832953974749077948T_VEBT J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_VEB5832953974749077948T_VEBT J (tptp.aa_VEB5832953974749077948T_VEBT I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_real H B3) tptp.zero_zero_real))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_VEBT_VEBT_real H (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.aa_VEBT_VEBT_real G A3)))) (= (tptp.groups2240296850493347238T_real G S2) (tptp.groups2240296850493347238T_real H T3)))))))))))))
% 19.00/19.18  (assume a6335 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups4541462559716669496nt_nat F A2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_nat F X3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_int_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6336 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups5693394587270226106ex_nat F A2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_nat F X3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_complex_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6337 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_nat F X3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_nat_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6338 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat) (N tptp.nat)) (=> (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2) (tptp.aa_nat_nat tptp.suc N)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))))))
% 19.00/19.18  (assume a6339 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups4541462559716669496nt_nat F A2) tptp.one_one_nat) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_nat F X3) tptp.one_one_nat) (forall ((Xa4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_int_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6340 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups5693394587270226106ex_nat F A2) tptp.one_one_nat) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_nat F X3) tptp.one_one_nat) (forall ((Xa4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_complex_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6341 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2) tptp.one_one_nat) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_nat F X3) tptp.one_one_nat) (forall ((Xa4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa4) A2)) (=> (not (= X3 Xa4)) (= (tptp.aa_nat_nat F Xa4) tptp.zero_zero_nat))))))))))
% 19.00/19.18  (assume a6342 (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))))
% 19.00/19.18  (assume a6343 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_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))))
% 19.00/19.18  (assume a6344 (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))))
% 19.00/19.18  (assume a6345 (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))))
% 19.00/19.18  (assume a6346 (forall ((N tptp.num)) (= (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit1 N)) (tptp.plus_p3455044024723400733d_enat (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat N) (tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat))))
% 19.00/19.18  (assume a6347 (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))))
% 19.00/19.18  (assume a6348 (forall ((N tptp.num)) (= (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger N)) tptp.one_one_Code_integer))))
% 19.00/19.18  (assume a6349 (forall ((S2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT) (S5 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S5)) (=> (forall ((Y3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y3) S5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F Y3)) (tptp.aa_VEBT_VEBT_rat F X4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P S5)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 S5))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P S2)))))))
% 19.00/19.18  (assume a6350 (forall ((S2 tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (S5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (forall ((Y3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) S5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F Y3)) (tptp.aa_complex_rat F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S5)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 S5))))))) (tptp.pp (tptp.aa_set_complex_bool P S2)))))))
% 19.00/19.18  (assume a6351 (forall ((S2 tptp.set_real) (P tptp.fun_set_real_bool) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (S5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) S5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F Y3)) (tptp.aa_real_rat F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool P S5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 S5))))))) (tptp.pp (tptp.aa_set_real_bool P S2)))))))
% 19.00/19.18  (assume a6352 (forall ((S2 tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (S5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S5)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) S5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F Y3)) (tptp.aa_nat_rat F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 S5))))))) (tptp.pp (tptp.aa_set_nat_bool P S2)))))))
% 19.00/19.18  (assume a6353 (forall ((S2 tptp.set_int) (P tptp.fun_set_int_bool) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (S5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (forall ((Y3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) S5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F Y3)) (tptp.aa_int_rat F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool P S5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 S5))))))) (tptp.pp (tptp.aa_set_int_bool P S2)))))))
% 19.00/19.18  (assume a6354 (forall ((S2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool) (F tptp.fun_VEBT_VEBT_num)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((X4 tptp.vEBT_VEBT) (S5 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S5)) (=> (forall ((Y3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y3) S5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_VEBT_VEBT_num F Y3)) (tptp.aa_VEBT_VEBT_num F X4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P S5)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT X4 S5))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P S2)))))))
% 19.00/19.18  (assume a6355 (forall ((S2 tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_num)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (S5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (forall ((Y3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) S5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_complex_num F Y3)) (tptp.aa_complex_num F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S5)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 S5))))))) (tptp.pp (tptp.aa_set_complex_bool P S2)))))))
% 19.00/19.18  (assume a6356 (forall ((S2 tptp.set_real) (P tptp.fun_set_real_bool) (F tptp.fun_real_num)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (S5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) S5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_real_num F Y3)) (tptp.aa_real_num F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool P S5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 S5))))))) (tptp.pp (tptp.aa_set_real_bool P S2)))))))
% 19.00/19.18  (assume a6357 (forall ((S2 tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_num)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (S5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S5)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) S5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F Y3)) (tptp.aa_nat_num F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 S5))))))) (tptp.pp (tptp.aa_set_nat_bool P S2)))))))
% 19.00/19.18  (assume a6358 (forall ((S2 tptp.set_int) (P tptp.fun_set_int_bool) (F tptp.fun_int_num)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (S5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (forall ((Y3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) S5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F Y3)) (tptp.aa_int_num F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool P S5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 S5))))))) (tptp.pp (tptp.aa_set_int_bool P S2)))))))
% 19.00/19.18  (assume a6359 (forall ((A2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((B3 tptp.real) (A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B3) X)))) (=> (tptp.pp (tptp.aa_set_real_bool P A5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A5))))))) (tptp.pp (tptp.aa_set_real_bool P A2)))))))
% 19.00/19.18  (assume a6360 (forall ((A2 tptp.set_rat) (P tptp.fun_set_rat_bool)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (tptp.pp (tptp.aa_set_rat_bool P tptp.bot_bot_set_rat)) (=> (forall ((B3 tptp.rat) (A5 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A5)) (=> (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X) A5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B3) X)))) (=> (tptp.pp (tptp.aa_set_rat_bool P A5)) (tptp.pp (tptp.aa_set_rat_bool P (tptp.insert_rat B3 A5))))))) (tptp.pp (tptp.aa_set_rat_bool P A2)))))))
% 19.00/19.18  (assume a6361 (forall ((A2 tptp.set_num) (P tptp.fun_set_num_bool)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (tptp.pp (tptp.aa_set_num_bool P tptp.bot_bot_set_num)) (=> (forall ((B3 tptp.num) (A5 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A5)) (=> (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X) A5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B3) X)))) (=> (tptp.pp (tptp.aa_set_num_bool P A5)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A5))))))) (tptp.pp (tptp.aa_set_num_bool P A2)))))))
% 19.00/19.18  (assume a6362 (forall ((A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((B3 tptp.nat) (A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B3) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A5))))))) (tptp.pp (tptp.aa_set_nat_bool P A2)))))))
% 19.00/19.18  (assume a6363 (forall ((A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((B3 tptp.int) (A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B3) X)))) (=> (tptp.pp (tptp.aa_set_int_bool P A5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A5))))))) (tptp.pp (tptp.aa_set_int_bool P A2)))))))
% 19.00/19.18  (assume a6364 (forall ((A2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((B3 tptp.real) (A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B3)))) (=> (tptp.pp (tptp.aa_set_real_bool P A5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A5))))))) (tptp.pp (tptp.aa_set_real_bool P A2)))))))
% 19.00/19.18  (assume a6365 (forall ((A2 tptp.set_rat) (P tptp.fun_set_rat_bool)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A2)) (=> (tptp.pp (tptp.aa_set_rat_bool P tptp.bot_bot_set_rat)) (=> (forall ((B3 tptp.rat) (A5 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A5)) (=> (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X) A5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) B3)))) (=> (tptp.pp (tptp.aa_set_rat_bool P A5)) (tptp.pp (tptp.aa_set_rat_bool P (tptp.insert_rat B3 A5))))))) (tptp.pp (tptp.aa_set_rat_bool P A2)))))))
% 19.00/19.18  (assume a6366 (forall ((A2 tptp.set_num) (P tptp.fun_set_num_bool)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A2)) (=> (tptp.pp (tptp.aa_set_num_bool P tptp.bot_bot_set_num)) (=> (forall ((B3 tptp.num) (A5 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A5)) (=> (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X) A5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) B3)))) (=> (tptp.pp (tptp.aa_set_num_bool P A5)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A5))))))) (tptp.pp (tptp.aa_set_num_bool P A2)))))))
% 19.00/19.18  (assume a6367 (forall ((A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((B3 tptp.nat) (A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) B3)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A5))))))) (tptp.pp (tptp.aa_set_nat_bool P A2)))))))
% 19.00/19.18  (assume a6368 (forall ((A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((B3 tptp.int) (A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) B3)))) (=> (tptp.pp (tptp.aa_set_int_bool P A5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A5))))))) (tptp.pp (tptp.aa_set_int_bool P A2)))))))
% 19.00/19.18  (assume a6369 (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))))))
% 19.00/19.18  (assume a6370 (forall ((F3 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT F3) A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((A3 tptp.vEBT_VEBT) (F4 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT F4) A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) F4))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P F4)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT A3 F4))))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P F3))))))))
% 19.00/19.18  (assume a6371 (forall ((F3 tptp.set_set_nat) (A2 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F3)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat F3) A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (forall ((A3 tptp.set_nat) (F4 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F4)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A3) A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat F4) A2)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A3) F4))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat A3 F4))))))))) (tptp.pp (tptp.aa_set_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6372 (forall ((F3 tptp.set_complex) (A2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F3) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A3 tptp.complex) (F4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F4) A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) F4))) (=> (tptp.pp (tptp.aa_set_complex_bool P F4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex A3 F4))))))))) (tptp.pp (tptp.aa_set_complex_bool P F3))))))))
% 19.00/19.18  (assume a6373 (forall ((F3 tptp.set_real) (A2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F3) A2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A3 tptp.real) (F4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F4) A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) F4))) (=> (tptp.pp (tptp.aa_set_real_bool P F4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real A3 F4))))))))) (tptp.pp (tptp.aa_set_real_bool P F3))))))))
% 19.00/19.18  (assume a6374 (forall ((F3 tptp.set_nat) (A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat F3) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A3 tptp.nat) (F4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat F4) A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) F4))) (=> (tptp.pp (tptp.aa_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat A3 F4))))))))) (tptp.pp (tptp.aa_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6375 (forall ((F3 tptp.set_int) (A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F3) A2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A3 tptp.int) (F4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F4) A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) F4))) (=> (tptp.pp (tptp.aa_set_int_bool P F4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int A3 F4))))))))) (tptp.pp (tptp.aa_set_int_bool P F3))))))))
% 19.00/19.18  (assume a6376 (forall ((F3 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT F3) A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((A3 tptp.vEBT_VEBT) (F4 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT F4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) F4))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P F4)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.insert_VEBT_VEBT A3 F4)))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P F3))))))))
% 19.00/19.18  (assume a6377 (forall ((F3 tptp.set_set_nat) (A2 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F3)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat F3) A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (forall ((A3 tptp.set_nat) (F4 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat F4)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A3) A2)) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A3) F4))) (=> (tptp.pp (tptp.aa_set_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.insert_set_nat A3 F4)))))))) (tptp.pp (tptp.aa_set_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6378 (forall ((F3 tptp.set_complex) (A2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F3) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A3 tptp.complex) (F4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) F4))) (=> (tptp.pp (tptp.aa_set_complex_bool P F4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex A3 F4)))))))) (tptp.pp (tptp.aa_set_complex_bool P F3))))))))
% 19.00/19.18  (assume a6379 (forall ((F3 tptp.set_real) (A2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F3) A2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A3 tptp.real) (F4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) F4))) (=> (tptp.pp (tptp.aa_set_real_bool P F4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real A3 F4)))))))) (tptp.pp (tptp.aa_set_real_bool P F3))))))))
% 19.00/19.18  (assume a6380 (forall ((F3 tptp.set_nat) (A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat F3) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A3 tptp.nat) (F4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) F4))) (=> (tptp.pp (tptp.aa_set_nat_bool P F4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat A3 F4)))))))) (tptp.pp (tptp.aa_set_nat_bool P F3))))))))
% 19.00/19.18  (assume a6381 (forall ((F3 tptp.set_int) (A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F3) A2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A3 tptp.int) (F4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) F4))) (=> (tptp.pp (tptp.aa_set_int_bool P F4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int A3 F4)))))))) (tptp.pp (tptp.aa_set_int_bool P F3))))))))
% 19.00/19.18  (assume a6382 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real) (B2 tptp.real) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))))) (=> (= (tptp.groups2240296850493347238T_real F S) B2) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_VEBT_VEBT_real F I)) B2))))))))
% 19.00/19.18  (assume a6383 (forall ((S tptp.set_real) (F tptp.fun_real_real) (B2 tptp.real) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (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.groups8097168146408367636l_real F S) B2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I)) B2))))))))
% 19.00/19.18  (assume a6384 (forall ((S tptp.set_int) (F tptp.fun_int_real) (B2 tptp.real) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (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.groups8778361861064173332t_real F S) B2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I)) B2))))))))
% 19.00/19.18  (assume a6385 (forall ((S tptp.set_complex) (F tptp.fun_complex_real) (B2 tptp.real) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (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.groups5808333547571424918x_real F S) B2) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I)) B2))))))))
% 19.00/19.18  (assume a6386 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (B2 tptp.rat) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (=> (= (tptp.groups136491112297645522BT_rat F S) B2) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F I)) B2))))))))
% 19.00/19.18  (assume a6387 (forall ((S tptp.set_real) (F tptp.fun_real_rat) (B2 tptp.rat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (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.groups1300246762558778688al_rat F S) B2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I)) B2))))))))
% 19.00/19.18  (assume a6388 (forall ((S tptp.set_nat) (F tptp.fun_nat_rat) (B2 tptp.rat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) S)) (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.groups2906978787729119204at_rat F S) B2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I)) B2))))))))
% 19.00/19.18  (assume a6389 (forall ((S tptp.set_int) (F tptp.fun_int_rat) (B2 tptp.rat) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (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.groups3906332499630173760nt_rat F S) B2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I)) B2))))))))
% 19.00/19.18  (assume a6390 (forall ((S tptp.set_complex) (F tptp.fun_complex_rat) (B2 tptp.rat) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (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.groups5058264527183730370ex_rat F S) B2) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I)) B2))))))))
% 19.00/19.18  (assume a6391 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (B2 tptp.nat) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I3))))) (=> (= (tptp.groups771621172384141258BT_nat F S) B2) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F I)) B2))))))))
% 19.00/19.18  (assume a6392 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))))) (=> (= (tptp.groups2240296850493347238T_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (= (tptp.aa_VEBT_VEBT_real F I) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6393 (forall ((S tptp.set_real) (F tptp.fun_real_real) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (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.groups8097168146408367636l_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (= (tptp.aa_real_real F I) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6394 (forall ((S tptp.set_int) (F tptp.fun_int_real) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (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.groups8778361861064173332t_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (= (tptp.aa_int_real F I) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6395 (forall ((S tptp.set_complex) (F tptp.fun_complex_real) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (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.groups5808333547571424918x_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (= (tptp.aa_complex_real F I) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a6396 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (=> (= (tptp.groups136491112297645522BT_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (= (tptp.aa_VEBT_VEBT_rat F I) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6397 (forall ((S tptp.set_real) (F tptp.fun_real_rat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (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.groups1300246762558778688al_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (= (tptp.aa_real_rat F I) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6398 (forall ((S tptp.set_nat) (F tptp.fun_nat_rat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) S)) (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.groups2906978787729119204at_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) S)) (= (tptp.aa_nat_rat F I) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6399 (forall ((S tptp.set_int) (F tptp.fun_int_rat) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (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.groups3906332499630173760nt_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (= (tptp.aa_int_rat F I) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6400 (forall ((S tptp.set_complex) (F tptp.fun_complex_rat) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (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.groups5058264527183730370ex_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (= (tptp.aa_complex_rat F I) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a6401 (forall ((S tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (I tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I3))))) (=> (= (tptp.groups771621172384141258BT_nat F S) tptp.zero_zero_nat) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) S)) (= (tptp.aa_VEBT_VEBT_nat F I) tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a6402 (forall ((S2 tptp.set_complex) (A tptp.complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex))))))))
% 19.00/19.18  (assume a6403 (forall ((S2 tptp.set_real) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real))))))))
% 19.00/19.18  (assume a6404 (forall ((S2 tptp.set_int) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int S2 (tptp.insert_int A tptp.bot_bot_set_int))))))))
% 19.00/19.18  (assume a6405 (forall ((S2 tptp.set_nat) (A tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat S2 (tptp.insert_nat A tptp.bot_bot_set_nat))))))))
% 19.00/19.18  (assume a6406 (forall ((X6 tptp.fun_set_complex_bool) (A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool X6 A2)) (=> (forall ((A5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool X6 A5)) (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A5)) (or (tptp.pp (tptp.aa_set_complex_bool X6 (tptp.minus_811609699411566653omplex A5 (tptp.insert_complex X tptp.bot_bot_set_complex)))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A5 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)))))))
% 19.00/19.18  (assume a6407 (forall ((X6 tptp.fun_set_real_bool) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool X6 A2)) (=> (forall ((A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool X6 A5)) (exists ((X tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A5)) (or (tptp.pp (tptp.aa_set_real_bool X6 (tptp.minus_minus_set_real A5 (tptp.insert_real X tptp.bot_bot_set_real)))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.minus_minus_set_real A5 (tptp.insert_real X tptp.bot_bot_set_real)))))))))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)))))))
% 19.00/19.18  (assume a6408 (forall ((X6 tptp.fun_set_int_bool) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool X6 A2)) (=> (forall ((A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool X6 A5)) (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A5)) (or (tptp.pp (tptp.aa_set_int_bool X6 (tptp.minus_minus_set_int A5 (tptp.insert_int X tptp.bot_bot_set_int)))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A5 (tptp.insert_int X tptp.bot_bot_set_int)))))))))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)))))))
% 19.00/19.18  (assume a6409 (forall ((X6 tptp.fun_set_nat_bool) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool X6 A2)) (=> (forall ((A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool X6 A5)) (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A5)) (or (tptp.pp (tptp.aa_set_nat_bool X6 (tptp.minus_minus_set_nat A5 (tptp.insert_nat X tptp.bot_bot_set_nat)))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.minus_minus_set_nat A5 (tptp.insert_nat X tptp.bot_bot_set_nat)))))))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)))))))
% 19.00/19.18  (assume a6410 (forall ((A2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P A2)) (=> (forall ((A3 tptp.vEBT_VEBT) (A5 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A5)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A5)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P A5)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.minus_5127226145743854075T_VEBT A5 (tptp.insert_VEBT_VEBT A3 tptp.bot_bo8194388402131092736T_VEBT)))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)))))))
% 19.00/19.18  (assume a6411 (forall ((A2 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P A2)) (=> (forall ((A3 tptp.set_nat) (A5 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A5)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat A3) A5)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P A5)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.minus_2163939370556025621et_nat A5 (tptp.insert_set_nat A3 tptp.bot_bot_set_set_nat)))))))) (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)))))))
% 19.00/19.18  (assume a6412 (forall ((A2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool P A2)) (=> (forall ((A3 tptp.complex) (A5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A5)) (=> (tptp.pp (tptp.aa_set_complex_bool P A5)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A5 (tptp.insert_complex A3 tptp.bot_bot_set_complex)))))))) (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)))))))
% 19.00/19.18  (assume a6413 (forall ((A2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool P A2)) (=> (forall ((A3 tptp.real) (A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A5)) (=> (tptp.pp (tptp.aa_set_real_bool P A5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A5 (tptp.insert_real A3 tptp.bot_bot_set_real)))))))) (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)))))))
% 19.00/19.18  (assume a6414 (forall ((A2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool P A2)) (=> (forall ((A3 tptp.int) (A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A5)) (=> (tptp.pp (tptp.aa_set_int_bool P A5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A5 (tptp.insert_int A3 tptp.bot_bot_set_int)))))))) (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)))))))
% 19.00/19.18  (assume a6415 (forall ((A2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool P A2)) (=> (forall ((A3 tptp.nat) (A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A5)) (=> (tptp.pp (tptp.aa_set_nat_bool P A5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.minus_minus_set_nat A5 (tptp.insert_nat A3 tptp.bot_bot_set_nat)))))))) (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)))))))
% 19.00/19.18  (assume a6416 (forall ((A2 tptp.set_real) (X2 tptp.real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X2 B2))))))
% 19.00/19.18  (assume a6417 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X2 B2))))))
% 19.00/19.18  (assume a6418 (forall ((A2 tptp.set_int) (X2 tptp.int) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X2 B2))))))
% 19.00/19.18  (assume a6419 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) (tptp.insert_VEBT_VEBT X2 B2))) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT))) B2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)))))))
% 19.00/19.18  (assume a6420 (forall ((A2 tptp.set_set_nat) (X2 tptp.set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) (tptp.insert_set_nat X2 B2))) (and (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat X2 tptp.bot_bot_set_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)))))))
% 19.00/19.18  (assume a6421 (forall ((A2 tptp.set_real) (X2 tptp.real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X2 B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))) B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))))
% 19.00/19.18  (assume a6422 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X2 B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)))))))
% 19.00/19.18  (assume a6423 (forall ((A2 tptp.set_int) (X2 tptp.int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X2 B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))) B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))))
% 19.00/19.18  (assume a6424 (forall ((N tptp.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.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.18  (assume a6425 (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.set_or1269000886237332187st_nat M N) (tptp.insert_nat M (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N))))))
% 19.00/19.18  (assume a6426 (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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.set_or1269000886237332187st_nat M N))))))
% 19.00/19.18  (assume a6427 (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.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6428 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups5754745047067104278omplex G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_kp G)))) (tptp.groups5754745047067104278omplex G A2)))))
% 19.00/19.18  (assume a6429 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3049146728041665814omplex G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_kq G)))) (tptp.groups3049146728041665814omplex G A2)))))
% 19.00/19.18  (assume a6430 (forall ((A2 tptp.set_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_kr G)))) (tptp.groups8097168146408367636l_real G A2)))))
% 19.00/19.18  (assume a6431 (forall ((A2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_ks G)))) (tptp.groups8778361861064173332t_real G A2)))))
% 19.00/19.18  (assume a6432 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_kt G)))) (tptp.groups5808333547571424918x_real G A2)))))
% 19.00/19.18  (assume a6433 (forall ((A2 tptp.set_real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1300246762558778688al_rat G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_ku G)))) (tptp.groups1300246762558778688al_rat G A2)))))
% 19.00/19.18  (assume a6434 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3906332499630173760nt_rat G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_kv G)))) (tptp.groups3906332499630173760nt_rat G A2)))))
% 19.00/19.18  (assume a6435 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_kw G)))) (tptp.groups5058264527183730370ex_rat G A2)))))
% 19.00/19.18  (assume a6436 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_kx G)))) (tptp.groups1935376822645274424al_nat G A2)))))
% 19.00/19.18  (assume a6437 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups4541462559716669496nt_nat G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_ky G)))) (tptp.groups4541462559716669496nt_nat G A2)))))
% 19.00/19.18  (assume a6438 (forall ((Xs tptp.list_real) (I tptp.nat) (X2 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 (tptp.list_update_real Xs I X2))) (tptp.insert_real X2 (tptp.set_real2 Xs))))))
% 19.00/19.18  (assume a6439 (forall ((Xs tptp.list_nat) (I tptp.nat) (X2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I X2))) (tptp.insert_nat X2 (tptp.set_nat2 Xs))))))
% 19.00/19.18  (assume a6440 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X2 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I X2))) (tptp.insert_VEBT_VEBT X2 (tptp.set_VEBT_VEBT2 Xs))))))
% 19.00/19.18  (assume a6441 (forall ((Xs tptp.list_int) (I tptp.nat) (X2 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I X2))) (tptp.insert_int X2 (tptp.set_int2 Xs))))))
% 19.00/19.18  (assume a6442 (forall ((X2 tptp.real) (A2 tptp.set_real)) (= (tptp.uminus612125837232591019t_real (tptp.insert_real X2 A2)) (tptp.minus_minus_set_real (tptp.uminus612125837232591019t_real A2) (tptp.insert_real X2 tptp.bot_bot_set_real)))))
% 19.00/19.18  (assume a6443 (forall ((X2 tptp.int) (A2 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int (tptp.insert_int X2 A2)) (tptp.minus_minus_set_int (tptp.uminus1532241313380277803et_int A2) (tptp.insert_int X2 tptp.bot_bot_set_int)))))
% 19.00/19.18  (assume a6444 (forall ((X2 tptp.nat) (A2 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat (tptp.insert_nat X2 A2)) (tptp.minus_minus_set_nat (tptp.uminus5710092332889474511et_nat A2) (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))
% 19.00/19.18  (assume a6445 (forall ((X2 tptp.complex) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_kz X2) M) I6) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) M)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) I6)))))
% 19.00/19.18  (assume a6446 (forall ((X2 tptp.rat) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_la X2) M) I6) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) M)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) I6)))))
% 19.00/19.18  (assume a6447 (forall ((X2 tptp.int) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_lb X2) M) I6) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X2) M)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) I6)))))
% 19.00/19.18  (assume a6448 (forall ((X2 tptp.real) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_lc X2) M)) I6) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X2) M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) I6)))))
% 19.00/19.18  (assume a6449 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat N M)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ld G) N) M)) (tptp.set_or1269000886237332187st_nat N M)))))
% 19.00/19.18  (assume a6450 (forall ((G tptp.fun_nat_real) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat N M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_nat4085805313368488148t_real (tptp.aTP_Lamm_le G) N) M)) (tptp.set_or1269000886237332187st_nat N M)))))
% 19.00/19.18  (assume a6451 (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))))
% 19.00/19.18  (assume a6452 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_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))))
% 19.00/19.18  (assume a6453 (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))))
% 19.00/19.18  (assume a6454 (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))))
% 19.00/19.18  (assume a6455 (forall ((N tptp.num)) (= (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit1 N)) (tptp.plus_p3455044024723400733d_enat (tptp.plus_p3455044024723400733d_enat (tptp.numera1916890842035813515d_enat N) (tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat))))
% 19.00/19.18  (assume a6456 (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))))
% 19.00/19.18  (assume a6457 (forall ((N tptp.num)) (= (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger N)) tptp.one_one_Code_integer))))
% 19.00/19.18  (assume a6458 (forall ((I6 tptp.set_VEBT_VEBT) (I tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I))) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups2240296850493347238T_real F I6)))))))))
% 19.00/19.18  (assume a6459 (forall ((I6 tptp.set_real) (I tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (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_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I6)))))))))
% 19.00/19.18  (assume a6460 (forall ((I6 tptp.set_int) (I tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I6)))))))))
% 19.00/19.18  (assume a6461 (forall ((I6 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (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_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I6)))))))))
% 19.00/19.18  (assume a6462 (forall ((I6 tptp.set_VEBT_VEBT) (I tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I))) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups136491112297645522BT_rat F I6)))))))))
% 19.00/19.18  (assume a6463 (forall ((I6 tptp.set_real) (I tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (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_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F I6)))))))))
% 19.00/19.18  (assume a6464 (forall ((I6 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (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_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F I6)))))))))
% 19.00/19.18  (assume a6465 (forall ((I6 tptp.set_int) (I tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F I6)))))))))
% 19.00/19.18  (assume a6466 (forall ((I6 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (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_rat tptp.zero_zero_rat) (tptp.groups5058264527183730370ex_rat F I6)))))))))
% 19.00/19.18  (assume a6467 (forall ((I6 tptp.set_VEBT_VEBT) (I tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I))) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups771621172384141258BT_nat F I6)))))))))
% 19.00/19.18  (assume a6468 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (not (= I6 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups2240296850493347238T_real F I6))))))))
% 19.00/19.18  (assume a6469 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I6))))))))
% 19.00/19.18  (assume a6470 (forall ((I6 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I6))))))))
% 19.00/19.18  (assume a6471 (forall ((I6 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I6))))))))
% 19.00/19.18  (assume a6472 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (not (= I6 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups136491112297645522BT_rat F I6))))))))
% 19.00/19.18  (assume a6473 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_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_rat tptp.zero_zero_rat) (tptp.groups5058264527183730370ex_rat F I6))))))))
% 19.00/19.18  (assume a6474 (forall ((I6 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_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_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F I6))))))))
% 19.00/19.18  (assume a6475 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_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_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F I6))))))))
% 19.00/19.18  (assume a6476 (forall ((I6 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_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_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F I6))))))))
% 19.00/19.18  (assume a6477 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (not (= I6 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups771621172384141258BT_nat F I6))))))))
% 19.00/19.18  (assume a6478 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_complex G X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_complex G X4) (tptp.aa_VEBT_VEBT_complex H X4)))) (= (tptp.groups1794756597179926696omplex G T3) (tptp.groups1794756597179926696omplex H S2))))))))
% 19.00/19.18  (assume a6479 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_complex G X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups5754745047067104278omplex G T3) (tptp.groups5754745047067104278omplex H S2))))))))
% 19.00/19.18  (assume a6480 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_real G X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_real G X4) (tptp.aa_VEBT_VEBT_real H X4)))) (= (tptp.groups2240296850493347238T_real G T3) (tptp.groups2240296850493347238T_real H S2))))))))
% 19.00/19.18  (assume a6481 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_real G X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_real G X4) (tptp.aa_real_real H X4)))) (= (tptp.groups8097168146408367636l_real G T3) (tptp.groups8097168146408367636l_real H S2))))))))
% 19.00/19.18  (assume a6482 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real H S2))))))))
% 19.00/19.18  (assume a6483 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_rat G X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_rat G X4) (tptp.aa_VEBT_VEBT_rat H X4)))) (= (tptp.groups136491112297645522BT_rat G T3) (tptp.groups136491112297645522BT_rat H S2))))))))
% 19.00/19.18  (assume a6484 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_rat G X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_rat G X4) (tptp.aa_real_rat H X4)))) (= (tptp.groups1300246762558778688al_rat G T3) (tptp.groups1300246762558778688al_rat H S2))))))))
% 19.00/19.18  (assume a6485 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_rat G X4) (tptp.aa_complex_rat H X4)))) (= (tptp.groups5058264527183730370ex_rat G T3) (tptp.groups5058264527183730370ex_rat H S2))))))))
% 19.00/19.18  (assume a6486 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_nat G X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_nat G X4) (tptp.aa_VEBT_VEBT_nat H X4)))) (= (tptp.groups771621172384141258BT_nat G T3) (tptp.groups771621172384141258BT_nat H S2))))))))
% 19.00/19.18  (assume a6487 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_nat G X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_nat G X4) (tptp.aa_real_nat H X4)))) (= (tptp.groups1935376822645274424al_nat G T3) (tptp.groups1935376822645274424al_nat H S2))))))))
% 19.00/19.18  (assume a6488 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VE5569070535936029429omplex) (G tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_complex H X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_complex G X4) (tptp.aa_VEBT_VEBT_complex H X4)))) (= (tptp.groups1794756597179926696omplex G S2) (tptp.groups1794756597179926696omplex H T3))))))))
% 19.00/19.18  (assume a6489 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_complex) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_complex H X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups5754745047067104278omplex G S2) (tptp.groups5754745047067104278omplex H T3))))))))
% 19.00/19.18  (assume a6490 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_real) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_real H X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_real G X4) (tptp.aa_VEBT_VEBT_real H X4)))) (= (tptp.groups2240296850493347238T_real G S2) (tptp.groups2240296850493347238T_real H T3))))))))
% 19.00/19.18  (assume a6491 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_real H X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_real G X4) (tptp.aa_real_real H X4)))) (= (tptp.groups8097168146408367636l_real G S2) (tptp.groups8097168146408367636l_real H T3))))))))
% 19.00/19.18  (assume a6492 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real H X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups5808333547571424918x_real G S2) (tptp.groups5808333547571424918x_real H T3))))))))
% 19.00/19.18  (assume a6493 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_rat H X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_rat G X4) (tptp.aa_VEBT_VEBT_rat H X4)))) (= (tptp.groups136491112297645522BT_rat G S2) (tptp.groups136491112297645522BT_rat H T3))))))))
% 19.00/19.18  (assume a6494 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_rat H X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_rat G X4) (tptp.aa_real_rat H X4)))) (= (tptp.groups1300246762558778688al_rat G S2) (tptp.groups1300246762558778688al_rat H T3))))))))
% 19.00/19.18  (assume a6495 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat H X4) tptp.zero_zero_rat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_rat G X4) (tptp.aa_complex_rat H X4)))) (= (tptp.groups5058264527183730370ex_rat G S2) (tptp.groups5058264527183730370ex_rat H T3))))))))
% 19.00/19.18  (assume a6496 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_nat H X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_nat G X4) (tptp.aa_VEBT_VEBT_nat H X4)))) (= (tptp.groups771621172384141258BT_nat G S2) (tptp.groups771621172384141258BT_nat H T3))))))))
% 19.00/19.18  (assume a6497 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_nat H X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_nat G X4) (tptp.aa_real_nat H X4)))) (= (tptp.groups1935376822645274424al_nat G S2) (tptp.groups1935376822645274424al_nat H T3))))))))
% 19.00/19.18  (assume a6498 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real G S2)))))))
% 19.00/19.18  (assume a6499 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups5058264527183730370ex_rat G T3) (tptp.groups5058264527183730370ex_rat G S2)))))))
% 19.00/19.18  (assume a6500 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G T3) (tptp.groups5693394587270226106ex_nat G S2)))))))
% 19.00/19.18  (assume a6501 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_int G X4) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G T3) (tptp.groups5690904116761175830ex_int G S2)))))))
% 19.00/19.18  (assume a6502 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups2073611262835488442omplex G T3) (tptp.groups2073611262835488442omplex G S2)))))))
% 19.00/19.18  (assume a6503 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups2906978787729119204at_rat G T3) (tptp.groups2906978787729119204at_rat G S2)))))))
% 19.00/19.18  (assume a6504 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_int G X4) tptp.zero_zero_int))) (= (tptp.groups3539618377306564664at_int G T3) (tptp.groups3539618377306564664at_int G S2)))))))
% 19.00/19.18  (assume a6505 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups3049146728041665814omplex G T3) (tptp.groups3049146728041665814omplex G S2)))))))
% 19.00/19.18  (assume a6506 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_real G X4) tptp.zero_zero_real))) (= (tptp.groups8778361861064173332t_real G T3) (tptp.groups8778361861064173332t_real G S2)))))))
% 19.00/19.18  (assume a6507 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups3906332499630173760nt_rat G T3) (tptp.groups3906332499630173760nt_rat G S2)))))))
% 19.00/19.18  (assume a6508 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G S2) (tptp.groups5808333547571424918x_real G T3)))))))
% 19.00/19.18  (assume a6509 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups5058264527183730370ex_rat G S2) (tptp.groups5058264527183730370ex_rat G T3)))))))
% 19.00/19.18  (assume a6510 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G S2) (tptp.groups5693394587270226106ex_nat G T3)))))))
% 19.00/19.18  (assume a6511 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_int G X4) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G S2) (tptp.groups5690904116761175830ex_int G T3)))))))
% 19.00/19.18  (assume a6512 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups2073611262835488442omplex G S2) (tptp.groups2073611262835488442omplex G T3)))))))
% 19.00/19.18  (assume a6513 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups2906978787729119204at_rat G S2) (tptp.groups2906978787729119204at_rat G T3)))))))
% 19.00/19.18  (assume a6514 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_int G X4) tptp.zero_zero_int))) (= (tptp.groups3539618377306564664at_int G S2) (tptp.groups3539618377306564664at_int G T3)))))))
% 19.00/19.18  (assume a6515 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups3049146728041665814omplex G S2) (tptp.groups3049146728041665814omplex G T3)))))))
% 19.00/19.18  (assume a6516 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_real G X4) tptp.zero_zero_real))) (= (tptp.groups8778361861064173332t_real G S2) (tptp.groups8778361861064173332t_real G T3)))))))
% 19.00/19.18  (assume a6517 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_rat G X4) tptp.zero_zero_rat))) (= (tptp.groups3906332499630173760nt_rat G S2) (tptp.groups3906332499630173760nt_rat G T3)))))))
% 19.00/19.18  (assume a6518 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.zero_zero_complex))) (=> (= (tptp.groups1794756597179926696omplex G C4) (tptp.groups1794756597179926696omplex H C4)) (= (tptp.groups1794756597179926696omplex G A2) (tptp.groups1794756597179926696omplex H B2))))))))))
% 19.00/19.18  (assume a6519 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_complex H B3) tptp.zero_zero_complex))) (=> (= (tptp.groups5754745047067104278omplex G C4) (tptp.groups5754745047067104278omplex H C4)) (= (tptp.groups5754745047067104278omplex G A2) (tptp.groups5754745047067104278omplex H B2))))))))))
% 19.00/19.18  (assume a6520 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups2240296850493347238T_real G C4) (tptp.groups2240296850493347238T_real H C4)) (= (tptp.groups2240296850493347238T_real G A2) (tptp.groups2240296850493347238T_real H B2))))))))))
% 19.00/19.18  (assume a6521 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups8097168146408367636l_real G C4) (tptp.groups8097168146408367636l_real H C4)) (= (tptp.groups8097168146408367636l_real G A2) (tptp.groups8097168146408367636l_real H B2))))))))))
% 19.00/19.18  (assume a6522 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups5808333547571424918x_real G C4) (tptp.groups5808333547571424918x_real H C4)) (= (tptp.groups5808333547571424918x_real G A2) (tptp.groups5808333547571424918x_real H B2))))))))))
% 19.00/19.18  (assume a6523 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups136491112297645522BT_rat G C4) (tptp.groups136491112297645522BT_rat H C4)) (= (tptp.groups136491112297645522BT_rat G A2) (tptp.groups136491112297645522BT_rat H B2))))))))))
% 19.00/19.18  (assume a6524 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups1300246762558778688al_rat G C4) (tptp.groups1300246762558778688al_rat H C4)) (= (tptp.groups1300246762558778688al_rat G A2) (tptp.groups1300246762558778688al_rat H B2))))))))))
% 19.00/19.18  (assume a6525 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups5058264527183730370ex_rat G C4) (tptp.groups5058264527183730370ex_rat H C4)) (= (tptp.groups5058264527183730370ex_rat G A2) (tptp.groups5058264527183730370ex_rat H B2))))))))))
% 19.00/19.18  (assume a6526 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups771621172384141258BT_nat G C4) (tptp.groups771621172384141258BT_nat H C4)) (= (tptp.groups771621172384141258BT_nat G A2) (tptp.groups771621172384141258BT_nat H B2))))))))))
% 19.00/19.18  (assume a6527 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups1935376822645274424al_nat G C4) (tptp.groups1935376822645274424al_nat H C4)) (= (tptp.groups1935376822645274424al_nat G A2) (tptp.groups1935376822645274424al_nat H B2))))))))))
% 19.00/19.18  (assume a6528 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.zero_zero_complex))) (= (= (tptp.groups1794756597179926696omplex G A2) (tptp.groups1794756597179926696omplex H B2)) (= (tptp.groups1794756597179926696omplex G C4) (tptp.groups1794756597179926696omplex H C4))))))))))
% 19.00/19.18  (assume a6529 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_complex G A3) tptp.zero_zero_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_complex H B3) tptp.zero_zero_complex))) (= (= (tptp.groups5754745047067104278omplex G A2) (tptp.groups5754745047067104278omplex H B2)) (= (tptp.groups5754745047067104278omplex G C4) (tptp.groups5754745047067104278omplex H C4))))))))))
% 19.00/19.18  (assume a6530 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups2240296850493347238T_real G A2) (tptp.groups2240296850493347238T_real H B2)) (= (tptp.groups2240296850493347238T_real G C4) (tptp.groups2240296850493347238T_real H C4))))))))))
% 19.00/19.18  (assume a6531 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups8097168146408367636l_real G A2) (tptp.groups8097168146408367636l_real H B2)) (= (tptp.groups8097168146408367636l_real G C4) (tptp.groups8097168146408367636l_real H C4))))))))))
% 19.00/19.18  (assume a6532 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups5808333547571424918x_real G A2) (tptp.groups5808333547571424918x_real H B2)) (= (tptp.groups5808333547571424918x_real G C4) (tptp.groups5808333547571424918x_real H C4))))))))))
% 19.00/19.18  (assume a6533 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups136491112297645522BT_rat G A2) (tptp.groups136491112297645522BT_rat H B2)) (= (tptp.groups136491112297645522BT_rat G C4) (tptp.groups136491112297645522BT_rat H C4))))))))))
% 19.00/19.18  (assume a6534 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups1300246762558778688al_rat G A2) (tptp.groups1300246762558778688al_rat H B2)) (= (tptp.groups1300246762558778688al_rat G C4) (tptp.groups1300246762558778688al_rat H C4))))))))))
% 19.00/19.18  (assume a6535 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups5058264527183730370ex_rat G A2) (tptp.groups5058264527183730370ex_rat H B2)) (= (tptp.groups5058264527183730370ex_rat G C4) (tptp.groups5058264527183730370ex_rat H C4))))))))))
% 19.00/19.18  (assume a6536 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups771621172384141258BT_nat G A2) (tptp.groups771621172384141258BT_nat H B2)) (= (tptp.groups771621172384141258BT_nat G C4) (tptp.groups771621172384141258BT_nat H C4))))))))))
% 19.00/19.18  (assume a6537 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups1935376822645274424al_nat G A2) (tptp.groups1935376822645274424al_nat H B2)) (= (tptp.groups1935376822645274424al_nat G C4) (tptp.groups1935376822645274424al_nat H C4))))))))))
% 19.00/19.18  (assume a6538 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5808333547571424918x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups5808333547571424918x_real G B2)))))))
% 19.00/19.18  (assume a6539 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5058264527183730370ex_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups5058264527183730370ex_rat G B2)))))))
% 19.00/19.18  (assume a6540 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5693394587270226106ex_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups5693394587270226106ex_nat G B2)))))))
% 19.00/19.18  (assume a6541 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5690904116761175830ex_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups5690904116761175830ex_int G B2)))))))
% 19.00/19.18  (assume a6542 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups2906978787729119204at_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups2906978787729119204at_rat G B2)))))))
% 19.00/19.18  (assume a6543 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups3539618377306564664at_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups3539618377306564664at_int G B2)))))))
% 19.00/19.18  (assume a6544 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups8778361861064173332t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A2 B2))) (tptp.groups8778361861064173332t_real G B2)))))))
% 19.00/19.18  (assume a6545 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3906332499630173760nt_rat G A2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups3906332499630173760nt_rat G (tptp.minus_minus_set_int A2 B2))) (tptp.groups3906332499630173760nt_rat G B2)))))))
% 19.00/19.18  (assume a6546 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups4541462559716669496nt_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups4541462559716669496nt_nat G (tptp.minus_minus_set_int A2 B2))) (tptp.groups4541462559716669496nt_nat G B2)))))))
% 19.00/19.18  (assume a6547 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups4538972089207619220nt_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G (tptp.minus_minus_set_int A2 B2))) (tptp.groups4538972089207619220nt_int G B2)))))))
% 19.00/19.18  (assume a6548 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A2 B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real F B2)))))))
% 19.00/19.18  (assume a6549 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A2 B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.groups5058264527183730370ex_rat F B2)))))))
% 19.00/19.18  (assume a6550 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A2 B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups5690904116761175830ex_int F A2)) (tptp.groups5690904116761175830ex_int F B2)))))))
% 19.00/19.18  (assume a6551 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (= (tptp.groups2906978787729119204at_rat F (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups2906978787729119204at_rat F A2)) (tptp.groups2906978787729119204at_rat F B2)))))))
% 19.00/19.18  (assume a6552 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (= (tptp.groups3539618377306564664at_int F (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int F A2)) (tptp.groups3539618377306564664at_int F B2)))))))
% 19.00/19.18  (assume a6553 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (= (tptp.groups8778361861064173332t_real F (tptp.minus_minus_set_int A2 B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups8778361861064173332t_real F A2)) (tptp.groups8778361861064173332t_real F B2)))))))
% 19.00/19.18  (assume a6554 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (= (tptp.groups3906332499630173760nt_rat F (tptp.minus_minus_set_int A2 B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups3906332499630173760nt_rat F A2)) (tptp.groups3906332499630173760nt_rat F B2)))))))
% 19.00/19.18  (assume a6555 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (= (tptp.groups4538972089207619220nt_int F (tptp.minus_minus_set_int A2 B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups4538972089207619220nt_int F B2)))))))
% 19.00/19.18  (assume a6556 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (= (tptp.groups7754918857620584856omplex F (tptp.minus_811609699411566653omplex A2 B2)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups7754918857620584856omplex F A2)) (tptp.groups7754918857620584856omplex F B2)))))))
% 19.00/19.18  (assume a6557 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) A2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) B2)))))))
% 19.00/19.18  (assume a6558 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (= (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex A2 B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups5693394587270226106ex_nat F B2)))))))
% 19.00/19.18  (assume a6559 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (= (tptp.groups4541462559716669496nt_nat F (tptp.minus_minus_set_int A2 B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4541462559716669496nt_nat F B2)))))))
% 19.00/19.18  (assume a6560 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) B2)))))))
% 19.00/19.18  (assume a6561 (forall ((F tptp.fun_nat_complex) (K tptp.nat)) (=> (= (tptp.aa_nat_complex F tptp.zero_zero_nat) tptp.zero_zero_complex) (= (tptp.groups2073611262835488442omplex F (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) K)) (tptp.groups2073611262835488442omplex F (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat K))))))
% 19.00/19.18  (assume a6562 (forall ((F tptp.fun_nat_rat) (K tptp.nat)) (=> (= (tptp.aa_nat_rat F tptp.zero_zero_nat) tptp.zero_zero_rat) (= (tptp.groups2906978787729119204at_rat F (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) K)) (tptp.groups2906978787729119204at_rat F (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat K))))))
% 19.00/19.18  (assume a6563 (forall ((F tptp.fun_nat_int) (K tptp.nat)) (=> (= (tptp.aa_nat_int F tptp.zero_zero_nat) tptp.zero_zero_int) (= (tptp.groups3539618377306564664at_int F (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) K)) (tptp.groups3539618377306564664at_int F (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat K))))))
% 19.00/19.18  (assume a6564 (forall ((F tptp.fun_nat_nat) (K tptp.nat)) (=> (= (tptp.aa_nat_nat F tptp.zero_zero_nat) tptp.zero_zero_nat) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) K)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat K))))))
% 19.00/19.18  (assume a6565 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (= (tptp.aa_nat_real F tptp.zero_zero_nat) tptp.zero_zero_real) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) K)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat K))))))
% 19.00/19.18  (assume a6566 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.18  (assume a6567 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (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.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.18  (assume a6568 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (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.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.18  (assume a6569 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.18  (assume a6570 (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.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6571 (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.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M (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 G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6572 (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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M (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 G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6573 (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.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6574 (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.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G M)) (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.18  (assume a6575 (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.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G M)) (tptp.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.18  (assume a6576 (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_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G M)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.18  (assume a6577 (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_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.18  (assume a6578 (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))))
% 19.00/19.18  (assume a6579 (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))))
% 19.00/19.18  (assume a6580 (forall ((N tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_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))))
% 19.00/19.18  (assume a6581 (= (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)))))
% 19.00/19.18  (assume a6582 (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))))
% 19.00/19.18  (assume a6583 (forall ((B2 tptp.set_VEBT_VEBT) (P tptp.fun_se448528567104302406T_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((A5 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A5)) (=> (not (= A5 tptp.bot_bo8194388402131092736T_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A5) B2)) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) A5)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.minus_5127226145743854075T_VEBT A5 (tptp.insert_VEBT_VEBT X tptp.bot_bo8194388402131092736T_VEBT)))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P A5))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P B2)))))))
% 19.00/19.18  (assume a6584 (forall ((B2 tptp.set_set_nat) (P tptp.fun_set_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat B2)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (forall ((A5 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A5)) (=> (not (= A5 tptp.bot_bot_set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A5) B2)) (=> (forall ((X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X) A5)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.minus_2163939370556025621et_nat A5 (tptp.insert_set_nat X tptp.bot_bot_set_set_nat)))))) (tptp.pp (tptp.aa_set_set_nat_bool P A5))))))) (tptp.pp (tptp.aa_set_set_nat_bool P B2)))))))
% 19.00/19.18  (assume a6585 (forall ((B2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5)) (=> (not (= A5 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A5) B2)) (=> (forall ((X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A5)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A5 (tptp.insert_complex X tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A5))))))) (tptp.pp (tptp.aa_set_complex_bool P B2)))))))
% 19.00/19.18  (assume a6586 (forall ((B2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5)) (=> (not (= A5 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A5) B2)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A5 (tptp.insert_real X tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A5))))))) (tptp.pp (tptp.aa_set_real_bool P B2)))))))
% 19.00/19.18  (assume a6587 (forall ((B2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (not (= A5 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A5) B2)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.minus_minus_set_nat A5 (tptp.insert_nat X tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A5))))))) (tptp.pp (tptp.aa_set_nat_bool P B2)))))))
% 19.00/19.18  (assume a6588 (forall ((B2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (not (= A5 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A5) B2)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A5 (tptp.insert_int X tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A5))))))) (tptp.pp (tptp.aa_set_int_bool P B2)))))))
% 19.00/19.18  (assume a6589 (forall ((P tptp.fun_se448528567104302406T_bool) (B2 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool P tptp.bot_bo8194388402131092736T_VEBT)) (=> (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P B2))) (=> (forall ((A5 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A5)) (=> (not (= A5 tptp.bot_bo8194388402131092736T_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A5) B2)) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) A5)) (tptp.pp (tptp.aa_set8260762808118238015T_bool P (tptp.minus_5127226145743854075T_VEBT A5 (tptp.insert_VEBT_VEBT X tptp.bot_bo8194388402131092736T_VEBT)))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P A5))))))) (tptp.pp (tptp.aa_set8260762808118238015T_bool P B2)))))))
% 19.00/19.18  (assume a6590 (forall ((P tptp.fun_set_set_nat_bool) (B2 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool P tptp.bot_bot_set_set_nat)) (=> (=> (not (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat B2))) (tptp.pp (tptp.aa_set_set_nat_bool P B2))) (=> (forall ((A5 tptp.set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat A5)) (=> (not (= A5 tptp.bot_bot_set_set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A5) B2)) (=> (forall ((X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X) A5)) (tptp.pp (tptp.aa_set_set_nat_bool P (tptp.minus_2163939370556025621et_nat A5 (tptp.insert_set_nat X tptp.bot_bot_set_set_nat)))))) (tptp.pp (tptp.aa_set_set_nat_bool P A5))))))) (tptp.pp (tptp.aa_set_set_nat_bool P B2)))))))
% 19.00/19.18  (assume a6591 (forall ((P tptp.fun_set_complex_bool) (B2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2))) (tptp.pp (tptp.aa_set_complex_bool P B2))) (=> (forall ((A5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A5)) (=> (not (= A5 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A5) B2)) (=> (forall ((X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A5)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A5 (tptp.insert_complex X tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A5))))))) (tptp.pp (tptp.aa_set_complex_bool P B2)))))))
% 19.00/19.18  (assume a6592 (forall ((P tptp.fun_set_real_bool) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2))) (tptp.pp (tptp.aa_set_real_bool P B2))) (=> (forall ((A5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A5)) (=> (not (= A5 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A5) B2)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A5)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A5 (tptp.insert_real X tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A5))))))) (tptp.pp (tptp.aa_set_real_bool P B2)))))))
% 19.00/19.18  (assume a6593 (forall ((P tptp.fun_set_nat_bool) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2))) (tptp.pp (tptp.aa_set_nat_bool P B2))) (=> (forall ((A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A5)) (=> (not (= A5 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A5) B2)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A5)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.minus_minus_set_nat A5 (tptp.insert_nat X tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A5))))))) (tptp.pp (tptp.aa_set_nat_bool P B2)))))))
% 19.00/19.18  (assume a6594 (forall ((P tptp.fun_set_int_bool) (B2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2))) (tptp.pp (tptp.aa_set_int_bool P B2))) (=> (forall ((A5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A5)) (=> (not (= A5 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A5) B2)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A5)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A5 (tptp.insert_int X tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A5))))))) (tptp.pp (tptp.aa_set_int_bool P B2)))))))
% 19.00/19.18  (assume a6595 (forall ((S2 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((T5 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex T5) S2)) (=> (tptp.pp (tptp.aa_set_complex_bool P T5)) (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.minus_811609699411566653omplex S2 T5))) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X T5)))))))) (tptp.pp (tptp.aa_set_complex_bool P S2)))))))
% 19.00/19.18  (assume a6596 (forall ((S2 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((T5 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real T5) S2)) (=> (tptp.pp (tptp.aa_set_real_bool P T5)) (exists ((X tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.minus_minus_set_real S2 T5))) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X T5)))))))) (tptp.pp (tptp.aa_set_real_bool P S2)))))))
% 19.00/19.18  (assume a6597 (forall ((S2 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((T5 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int T5) S2)) (=> (tptp.pp (tptp.aa_set_int_bool P T5)) (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.minus_minus_set_int S2 T5))) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X T5)))))))) (tptp.pp (tptp.aa_set_int_bool P S2)))))))
% 19.00/19.18  (assume a6598 (forall ((S2 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((T5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat T5) S2)) (=> (tptp.pp (tptp.aa_set_nat_bool P T5)) (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.minus_minus_set_nat S2 T5))) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X T5)))))))) (tptp.pp (tptp.aa_set_nat_bool P S2)))))))
% 19.00/19.18  (assume a6599 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT A2) (tptp.insert_VEBT_VEBT X2 B2))) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT A2) B2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) B2))) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le3480810397992357184T_VEBT (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT))) B2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)))))))))
% 19.00/19.18  (assume a6600 (forall ((A2 tptp.set_set_nat) (X2 tptp.set_nat) (B2 tptp.set_set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat A2) (tptp.insert_set_nat X2 B2))) (and (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat A2) B2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) B2))) (and (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_less_set_set_nat (tptp.minus_2163939370556025621et_nat A2 (tptp.insert_set_nat X2 tptp.bot_bot_set_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat X2) A2))) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.ord_le6893508408891458716et_nat A2) B2)))))))))
% 19.00/19.18  (assume a6601 (forall ((A2 tptp.set_real) (X2 tptp.real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) (tptp.insert_real X2 B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))) B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))))))
% 19.00/19.18  (assume a6602 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) (tptp.insert_nat X2 B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat A2) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)))))))))
% 19.00/19.18  (assume a6603 (forall ((A2 tptp.set_int) (X2 tptp.int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) (tptp.insert_int X2 B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))) B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))))))
% 19.00/19.18  (assume a6604 (forall ((N tptp.nat) (X2 tptp.vEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat tptp.suc N) X2)) (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT))))
% 19.00/19.18  (assume a6605 (forall ((N tptp.nat) (X2 tptp.real)) (= (tptp.set_real2 (tptp.replicate_real (tptp.aa_nat_nat tptp.suc N) X2)) (tptp.insert_real X2 tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a6606 (forall ((N tptp.nat) (X2 tptp.nat)) (= (tptp.set_nat2 (tptp.replicate_nat (tptp.aa_nat_nat tptp.suc N) X2)) (tptp.insert_nat X2 tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a6607 (forall ((N tptp.nat) (X2 tptp.int)) (= (tptp.set_int2 (tptp.replicate_int (tptp.aa_nat_nat tptp.suc N) X2)) (tptp.insert_int X2 tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a6608 (forall ((N tptp.nat) (X2 tptp.vEBT_VEBT)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X2)) tptp.bot_bo8194388402131092736T_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X2)) (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT))))))
% 19.00/19.18  (assume a6609 (forall ((N tptp.nat) (X2 tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_real2 (tptp.replicate_real N X2)) tptp.bot_bot_set_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_real2 (tptp.replicate_real N X2)) (tptp.insert_real X2 tptp.bot_bot_set_real))))))
% 19.00/19.18  (assume a6610 (forall ((N tptp.nat) (X2 tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_nat2 (tptp.replicate_nat N X2)) tptp.bot_bot_set_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X2)) (tptp.insert_nat X2 tptp.bot_bot_set_nat))))))
% 19.00/19.18  (assume a6611 (forall ((N tptp.nat) (X2 tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_int2 (tptp.replicate_int N X2)) tptp.bot_bot_set_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X2)) (tptp.insert_int X2 tptp.bot_bot_set_int))))))
% 19.00/19.18  (assume a6612 (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.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G M)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lf G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6613 (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.plus_plus_int (tptp.groups3539618377306564664at_int G (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.plus_plus_int (tptp.aa_nat_int G M)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lg G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6614 (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.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (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.plus_plus_nat (tptp.aa_nat_nat G M)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6615 (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.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (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.plus_plus_real (tptp.aa_nat_real G M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.18  (assume a6616 (forall ((M tptp.nat) (N tptp.nat) (F 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.groups2906978787729119204at_rat (tptp.aTP_Lamm_lh F) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat F M))))))
% 19.00/19.18  (assume a6617 (forall ((M tptp.nat) (N tptp.nat) (F 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.groups3539618377306564664at_int (tptp.aTP_Lamm_li F) (tptp.set_or1269000886237332187st_nat M N)) (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 N))) (tptp.aa_nat_int F M))))))
% 19.00/19.18  (assume a6618 (forall ((M tptp.nat) (N tptp.nat) (F 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.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lj F)) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real F M))))))
% 19.00/19.18  (assume a6619 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2240296850493347238T_real F A2)) (tptp.groups2240296850493347238T_real F B2))))))))
% 19.00/19.18  (assume a6620 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8097168146408367636l_real F A2)) (tptp.groups8097168146408367636l_real F B2))))))))
% 19.00/19.18  (assume a6621 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real F B2))))))))
% 19.00/19.18  (assume a6622 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups136491112297645522BT_rat F A2)) (tptp.groups136491112297645522BT_rat F B2))))))))
% 19.00/19.18  (assume a6623 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (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 B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1300246762558778688al_rat F A2)) (tptp.groups1300246762558778688al_rat F B2))))))))
% 19.00/19.18  (assume a6624 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (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 B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.groups5058264527183730370ex_rat F B2))))))))
% 19.00/19.18  (assume a6625 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (forall ((B3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) (tptp.minus_minus_set_nat B2 A2))) (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 B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F A2)) (tptp.groups2906978787729119204at_rat F B2))))))))
% 19.00/19.18  (assume a6626 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups771621172384141258BT_nat F A2)) (tptp.groups771621172384141258BT_nat F B2))))))))
% 19.00/19.18  (assume a6627 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1935376822645274424al_nat F A2)) (tptp.groups1935376822645274424al_nat F B2))))))))
% 19.00/19.18  (assume a6628 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_complex_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups5693394587270226106ex_nat F B2))))))))
% 19.00/19.18  (assume a6629 (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)))))
% 19.00/19.18  (assume a6630 (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)))))
% 19.00/19.18  (assume a6631 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat) (P3 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.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.groups2906978787729119204at_rat G (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) P3))))))))
% 19.00/19.18  (assume a6632 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P3 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.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.set_or1269000886237332187st_nat M N))) (tptp.groups3539618377306564664at_int G (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) P3))))))))
% 19.00/19.18  (assume a6633 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P3 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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (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) P3))))))))
% 19.00/19.18  (assume a6634 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P3 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.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (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) P3))))))))
% 19.00/19.18  (assume a6635 (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))))
% 19.00/19.18  (assume a6636 (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))))
% 19.00/19.18  (assume a6637 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_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.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.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))))
% 19.00/19.18  (assume a6638 (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))))
% 19.00/19.18  (assume a6639 (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))))
% 19.00/19.18  (assume a6640 (forall ((Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_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.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.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))))
% 19.00/19.18  (assume a6641 (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))))
% 19.00/19.18  (assume a6642 (forall ((Xs tptp.list_complex) (X6 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Xs)) X6)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex X6)) (= (tptp.groups5693394587270226106ex_nat (tptp.count_list_complex Xs) X6) (tptp.size_s3451745648224563538omplex Xs))))))
% 19.00/19.18  (assume a6643 (forall ((Xs tptp.list_VEBT_VEBT) (X6 tptp.set_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs)) X6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT X6)) (= (tptp.groups771621172384141258BT_nat (tptp.count_list_VEBT_VEBT Xs) X6) (tptp.size_s6755466524823107622T_VEBT Xs))))))
% 19.00/19.18  (assume a6644 (forall ((Xs tptp.list_bool) (X6 tptp.set_bool)) (=> (tptp.ord_less_eq_set_bool (tptp.set_bool2 Xs) X6) (=> (tptp.finite_finite_bool X6) (= (tptp.groups5768501273728744877ol_nat (tptp.count_list_bool Xs) X6) (tptp.size_size_list_bool Xs))))))
% 19.00/19.18  (assume a6645 (forall ((Xs tptp.list_int) (X6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Xs)) X6)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int X6)) (= (tptp.groups4541462559716669496nt_nat (tptp.count_list_int Xs) X6) (tptp.size_size_list_int Xs))))))
% 19.00/19.18  (assume a6646 (forall ((Xs tptp.list_nat) (X6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) X6)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat X6)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.count_list_nat Xs)) X6) (tptp.size_size_list_nat Xs))))))
% 19.00/19.18  (assume a6647 (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))))
% 19.00/19.18  (assume a6648 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F B))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2240296850493347238T_real F A2)) (tptp.groups2240296850493347238T_real F B2))))))))))
% 19.00/19.18  (assume a6649 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B2 A2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F B))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8097168146408367636l_real F A2)) (tptp.groups8097168146408367636l_real F B2))))))))))
% 19.00/19.18  (assume a6650 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B2 A2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F B))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real F B2))))))))))
% 19.00/19.18  (assume a6651 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F B))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups136491112297645522BT_rat F A2)) (tptp.groups136491112297645522BT_rat F B2))))))))))
% 19.00/19.18  (assume a6652 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B2 A2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_real_rat F B))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1300246762558778688al_rat F A2)) (tptp.groups1300246762558778688al_rat F B2))))))))))
% 19.00/19.18  (assume a6653 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B2 A2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F B))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A2)) (tptp.groups5058264527183730370ex_rat F B2))))))))))
% 19.00/19.18  (assume a6654 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (B tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) (tptp.minus_minus_set_nat B2 A2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F B))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (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 X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups2906978787729119204at_rat F A2)) (tptp.groups2906978787729119204at_rat F B2))))))))))
% 19.00/19.18  (assume a6655 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F B))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups771621172384141258BT_nat F A2)) (tptp.groups771621172384141258BT_nat F B2))))))))))
% 19.00/19.18  (assume a6656 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B2 A2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_real_nat F B))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups1935376822645274424al_nat F A2)) (tptp.groups1935376822645274424al_nat F B2))))))))))
% 19.00/19.18  (assume a6657 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B2 A2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_complex_nat F B))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_complex_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups5693394587270226106ex_nat F B2))))))))))
% 19.00/19.18  (assume a6658 (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))))))
% 19.00/19.18  (assume a6659 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_lk F) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F M)) (tptp.aa_nat_complex F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_lk F) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a6660 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ll F) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F M)) (tptp.aa_nat_rat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ll F) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a6661 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lm F) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F M)) (tptp.aa_nat_int F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lm F) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_int)))))
% 19.00/19.18  (assume a6662 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ln F)) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F M)) (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ln F)) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a6663 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lo F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F M))))))
% 19.00/19.18  (assume a6664 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lp F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F M))))))
% 19.00/19.18  (assume a6665 (forall ((M tptp.nat) (N tptp.nat) (F 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_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lq F)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F M))))))
% 19.00/19.18  (assume a6666 (forall ((N tptp.nat) (Z tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) (tptp.nat_set_decode Z)))) (= (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.nat_set_decode Z))))))
% 19.00/19.18  (assume a6667 (forall ((N tptp.nat)) (= (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.groups3539618377306564664at_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N))))))
% 19.00/19.18  (assume a6668 (forall ((N tptp.nat)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_Code_integer) (tptp.groups7501900531339628137nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N))))))
% 19.00/19.18  (assume a6669 (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.one_one_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_ay N))))))
% 19.00/19.18  (assume a6670 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) M)) (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a6671 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.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.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) M)) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a6672 (forall ((M tptp.nat) (N tptp.nat) (X2 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.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) X2)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X2) M)) (tptp.aa_nat_int (tptp.power_power_int X2) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a6673 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.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.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X2) M)) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a6674 (forall ((G tptp.fun_nat_rat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (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.groups2906978787729119204at_rat (tptp.aTP_Lamm_lr G) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6675 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (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.groups3539618377306564664at_int (tptp.aTP_Lamm_ls G) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6676 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (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.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_lt G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6677 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (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.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lu G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a6678 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 K))) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger N (tptp.numera6620942414471956472nteger K)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 19.00/19.18  (assume a6679 (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))))
% 19.00/19.18  (assume a6680 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_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))))
% 19.00/19.18  (assume a6681 (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_ay N))))))
% 19.00/19.18  (assume a6682 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_cg) (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))))))
% 19.00/19.18  (assume a6683 (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_lv A) D)) (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))))))
% 19.00/19.18  (assume a6684 (= (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)))))
% 19.00/19.18  (assume a6685 (= (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)))))
% 19.00/19.18  (assume a6686 (= (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)))))
% 19.00/19.18  (assume a6687 (= (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)))))
% 19.00/19.18  (assume a6688 (= (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)))))
% 19.00/19.18  (assume a6689 (forall ((N tptp.nat) (M tptp.nat) (X2 tptp.complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (and (=> (= X2 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (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.one_one_nat)) M)))) (=> (not (= X2 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) M)) (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)))))))))
% 19.00/19.18  (assume a6690 (forall ((N tptp.nat) (M tptp.nat) (X2 tptp.rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (and (=> (= X2 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (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.one_one_nat)) M)))) (=> (not (= X2 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) M)) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)))))))))
% 19.00/19.18  (assume a6691 (forall ((N tptp.nat) (M tptp.nat) (X2 tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M N)) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (and (=> (= X2 tptp.one_one_real) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (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.one_one_nat)) M)))) (=> (not (= X2 tptp.one_one_real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_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.power_power_real X2) M)) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)))))))))
% 19.00/19.18  (assume a6692 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.00/19.18  (assume a6693 (= (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))))
% 19.00/19.18  (assume a6694 (= (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))))
% 19.00/19.18  (assume a6695 (= (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))))
% 19.00/19.18  (assume a6696 (= (tptp.neg_nu5831290666863070958nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.00/19.18  (assume a6697 (forall ((N tptp.nat)) (= (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.divide6298287555418463151nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6698 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int 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))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6699 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc 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.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6700 (forall ((X2 tptp.complex) (M tptp.nat) (N tptp.nat)) (and (=> (= X2 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M (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 N)) tptp.one_one_complex))) (=> (not (= X2 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) M)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)))))))
% 19.00/19.18  (assume a6701 (forall ((X2 tptp.rat) (M tptp.nat) (N tptp.nat)) (and (=> (= X2 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat))) (=> (not (= X2 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) M)) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)))))))
% 19.00/19.18  (assume a6702 (forall ((X2 tptp.real) (M tptp.nat) (N tptp.nat)) (and (=> (= X2 tptp.one_one_real) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M (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 N)) tptp.one_one_real))) (=> (not (= X2 tptp.one_one_real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M (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.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X2) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)))))))
% 19.00/19.18  (assume a6703 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)))))
% 19.00/19.18  (assume a6704 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat tptp.semiri681578069525770553at_rat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a6705 (forall ((N tptp.nat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N))) (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) tptp.one_on7984719198319812577d_enat)))))
% 19.00/19.18  (assume a6706 (forall ((N tptp.nat)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N))) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)))))
% 19.00/19.18  (assume a6707 (forall ((N tptp.nat)) (= (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.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) 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_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)))))
% 19.00/19.18  (assume a6708 (forall ((N 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))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_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.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)))))
% 19.00/19.18  (assume a6709 (forall ((N tptp.nat)) (= (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_set_nat_real (tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) 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.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)))))
% 19.00/19.18  (assume a6710 (forall ((N tptp.nat)) (= (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.divide6298287555418463151nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6711 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int 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))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6712 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_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.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6713 (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))))
% 19.00/19.18  (assume a6714 (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))))
% 19.00/19.18  (assume a6715 (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))))
% 19.00/19.18  (assume a6716 (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)))))
% 19.00/19.18  (assume a6717 (forall ((N tptp.nat) (M tptp.nat)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (and (= N tptp.zero_zero_nat) (= M tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6718 (forall ((N tptp.nat)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))
% 19.00/19.18  (assume a6719 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))
% 19.00/19.18  (assume a6720 (forall ((N tptp.nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))
% 19.00/19.18  (assume a6721 (forall ((N tptp.nat) (M tptp.nat)) (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.semiri1314217659103216013at_int N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))
% 19.00/19.18  (assume a6722 (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)))))
% 19.00/19.18  (assume a6723 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.one_one_complex) tptp.one_one_complex))
% 19.00/19.18  (assume a6724 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.one_one_real) tptp.one_one_real))
% 19.00/19.18  (assume a6725 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.00/19.18  (assume a6726 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.one_one_int) tptp.one_one_int))
% 19.00/19.18  (assume a6727 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.zero_zero_nat) tptp.zero_zero_complex))
% 19.00/19.18  (assume a6728 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.zero_zero_nat) tptp.zero_zero_rat))
% 19.00/19.18  (assume a6729 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 19.00/19.18  (assume a6730 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 19.00/19.18  (assume a6731 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 19.00/19.18  (assume a6732 (forall ((N tptp.nat)) (= (= tptp.zero_zero_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= tptp.zero_zero_nat N))))
% 19.00/19.18  (assume a6733 (forall ((N tptp.nat)) (= (= tptp.zero_zero_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= tptp.zero_zero_nat N))))
% 19.00/19.18  (assume a6734 (forall ((N tptp.nat)) (= (= tptp.zero_zero_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= tptp.zero_zero_nat N))))
% 19.00/19.18  (assume a6735 (forall ((N tptp.nat)) (= (= tptp.zero_zero_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= tptp.zero_zero_nat N))))
% 19.00/19.18  (assume a6736 (forall ((N tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= tptp.zero_zero_nat N))))
% 19.00/19.18  (assume a6737 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M) tptp.zero_zero_complex) (= M tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6738 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M) tptp.zero_zero_rat) (= M tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6739 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) tptp.zero_zero_int) (= M tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6740 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) tptp.zero_zero_real) (= M tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6741 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M) tptp.zero_zero_nat) (= M tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6742 (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)))))
% 19.00/19.18  (assume a6743 (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)))))
% 19.00/19.18  (assume a6744 (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)))))
% 19.00/19.18  (assume a6745 (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)))))
% 19.00/19.18  (assume a6746 (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)))))
% 19.00/19.18  (assume a6747 (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)))))
% 19.00/19.18  (assume a6748 (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)))))
% 19.00/19.18  (assume a6749 (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)))))
% 19.00/19.18  (assume a6750 (forall ((N tptp.num)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera1916890842035813515d_enat N))))
% 19.00/19.18  (assume a6751 (forall ((N tptp.num)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera6620942414471956472nteger N))))
% 19.00/19.18  (assume a6752 (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))))
% 19.00/19.18  (assume a6753 (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))))
% 19.00/19.18  (assume a6754 (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))))
% 19.00/19.18  (assume a6755 (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.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.00/19.18  (assume a6756 (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)))))
% 19.00/19.18  (assume a6757 (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)))))
% 19.00/19.18  (assume a6758 (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)))))
% 19.00/19.18  (assume a6759 (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.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.00/19.18  (assume a6760 (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)))))
% 19.00/19.18  (assume a6761 (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)))))
% 19.00/19.18  (assume a6762 (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)))))
% 19.00/19.18  (assume a6763 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.one_one_nat) tptp.one_one_complex))
% 19.00/19.18  (assume a6764 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.one_one_nat) tptp.one_one_rat))
% 19.00/19.18  (assume a6765 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 19.00/19.18  (assume a6766 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat) tptp.one_one_real))
% 19.00/19.18  (assume a6767 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.one_one_nat) tptp.one_one_nat))
% 19.00/19.18  (assume a6768 (forall ((N tptp.nat)) (= (= tptp.one_one_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6769 (forall ((N tptp.nat)) (= (= tptp.one_one_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6770 (forall ((N tptp.nat)) (= (= tptp.one_one_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6771 (forall ((N tptp.nat)) (= (= tptp.one_one_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6772 (forall ((N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6773 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.one_one_complex) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6774 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) tptp.one_one_rat) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6775 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.one_one_int) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6776 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.one_one_real) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6777 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.one_one_nat) (= N tptp.one_one_nat))))
% 19.00/19.18  (assume a6778 (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)))))
% 19.00/19.18  (assume a6779 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.zero_zero_complex) tptp.one_one_complex))
% 19.00/19.18  (assume a6780 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real tptp.zero_zero_real) tptp.one_one_real))
% 19.00/19.18  (assume a6781 (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat tptp.zero_zero_rat) tptp.one_one_rat))
% 19.00/19.18  (assume a6782 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int tptp.zero_zero_int) tptp.one_one_int))
% 19.00/19.18  (assume a6783 (forall ((P tptp.bool)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n3304061248610475627l_real P))))
% 19.00/19.18  (assume a6784 (forall ((P tptp.bool)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat P))))
% 19.00/19.18  (assume a6785 (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))))
% 19.00/19.18  (assume a6786 (= (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)))
% 19.00/19.18  (assume a6787 (= (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)))
% 19.00/19.18  (assume a6788 (= (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)))
% 19.00/19.18  (assume a6789 (= (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)))
% 19.00/19.18  (assume a6790 (= (tptp.neg_nu5831290666863070958nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.00/19.18  (assume a6791 (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)))))
% 19.00/19.18  (assume a6792 (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)))))
% 19.00/19.18  (assume a6793 (forall ((K tptp.num)) (= (tptp.neg_nu5831290666863070958nteger (tptp.numera6620942414471956472nteger K)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 K)))))
% 19.00/19.18  (assume a6794 (forall ((F tptp.fun_int_nat) (A2 tptp.set_int)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_lw F) A2))))
% 19.00/19.18  (assume a6795 (forall ((F tptp.fun_complex_nat) (A2 tptp.set_complex)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups7754918857620584856omplex (tptp.aTP_Lamm_lx F) A2))))
% 19.00/19.18  (assume a6796 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_ly F) A2))))
% 19.00/19.18  (assume a6797 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_lz F)) A2))))
% 19.00/19.18  (assume a6798 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ma F)) A2))))
% 19.00/19.18  (assume a6799 (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))))
% 19.00/19.18  (assume a6800 (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))))
% 19.00/19.18  (assume a6801 (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))))
% 19.00/19.18  (assume a6802 (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))))
% 19.00/19.18  (assume a6803 (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)))))
% 19.00/19.18  (assume a6804 (forall ((M tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_rat_rat (tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)))))
% 19.00/19.18  (assume a6805 (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)))))
% 19.00/19.18  (assume a6806 (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)))))
% 19.00/19.18  (assume a6807 (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)))))
% 19.00/19.18  (assume a6808 (forall ((N tptp.nat) (W2 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 W2))) (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 W2))))))
% 19.00/19.18  (assume a6809 (forall ((W2 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 W2)) (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 W2)) N)))))
% 19.00/19.18  (assume a6810 (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)))))
% 19.00/19.18  (assume a6811 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.zero_zero_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.00/19.18  (assume a6812 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.00/19.18  (assume a6813 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.00/19.18  (assume a6814 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 19.00/19.18  (assume a6815 (= (tptp.neg_nu7757733837767384882nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.00/19.18  (assume a6816 (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))))))
% 19.00/19.18  (assume a6817 (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))))))
% 19.00/19.18  (assume a6818 (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))))))
% 19.00/19.18  (assume a6819 (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))))))
% 19.00/19.18  (assume a6820 (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))))))
% 19.00/19.18  (assume a6821 (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))))))
% 19.00/19.18  (assume a6822 (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))))))
% 19.00/19.18  (assume a6823 (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))))))
% 19.00/19.18  (assume a6824 (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)))))
% 19.00/19.18  (assume a6825 (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)))))
% 19.00/19.18  (assume a6826 (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)))))
% 19.00/19.18  (assume a6827 (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)))))
% 19.00/19.18  (assume a6828 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W2))) (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 B) W2))))))
% 19.00/19.18  (assume a6829 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W2))) (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 B) W2))))))
% 19.00/19.18  (assume a6830 (forall ((X2 tptp.nat) (B tptp.nat) (W2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W2))) (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 B) W2))))))
% 19.00/19.18  (assume a6831 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W2))) (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 B) W2))))))
% 19.00/19.18  (assume a6832 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6833 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6834 (forall ((B tptp.nat) (W2 tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6835 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6836 (forall ((B tptp.nat) (W2 tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6837 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6838 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6839 (forall ((B tptp.nat) (W2 tptp.nat) (X2 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 B)) W2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X2))) (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 B) W2)) X2)))))
% 19.00/19.18  (assume a6840 (forall ((X2 tptp.nat) (B tptp.nat) (W2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W2))))))
% 19.00/19.18  (assume a6841 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W2))))))
% 19.00/19.18  (assume a6842 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W2))))))
% 19.00/19.18  (assume a6843 (forall ((X2 tptp.nat) (B tptp.nat) (W2 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 X2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W2))))))
% 19.00/19.18  (assume a6844 (forall ((X2 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 X2)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X2)) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6845 (forall ((X2 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 X2)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X2)) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6846 (forall ((X2 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.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X2)) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6847 (forall ((X2 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 X2)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X2)) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6848 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6849 (forall ((X2 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I)) N))) (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 I)) N))))))
% 19.00/19.18  (assume a6850 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6851 (forall ((X2 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 X2)) (tptp.aa_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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6852 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6853 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6854 (forall ((I tptp.num) (N tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I)) N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X2))) (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)) X2)))))
% 19.00/19.18  (assume a6855 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6856 (forall ((I tptp.num) (N tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2))) (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)) X2)))))
% 19.00/19.18  (assume a6857 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6858 (forall ((X2 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6859 (forall ((X2 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 X2)) (tptp.aa_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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6860 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6861 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6862 (forall ((X2 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 X2)) (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 X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.00/19.18  (assume a6863 (forall ((I tptp.num) (N tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I)) N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X2))) (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)) X2)))))
% 19.00/19.18  (assume a6864 (forall ((I tptp.num) (N tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2))) (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)) X2)))))
% 19.00/19.18  (assume a6865 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6866 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6867 (forall ((I tptp.num) (N tptp.nat) (X2 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 X2))) (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)) X2)))))
% 19.00/19.18  (assume a6868 (forall ((X2 tptp.real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2))))))
% 19.00/19.18  (assume a6869 (forall ((X2 tptp.rat)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N2))))))
% 19.00/19.18  (assume a6870 (forall ((X2 tptp.rat)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N2))))))
% 19.00/19.18  (assume a6871 (forall ((X2 tptp.real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2))))))
% 19.00/19.18  (assume a6872 (forall ((X2 tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X2)) Y) (tptp.aa_rat_rat (tptp.times_times_rat Y) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X2)))))
% 19.00/19.18  (assume a6873 (forall ((X2 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 X2)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X2)))))
% 19.00/19.18  (assume a6874 (forall ((X2 tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)))))
% 19.00/19.18  (assume a6875 (forall ((X2 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 X2)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X2)))))
% 19.00/19.18  (assume a6876 (forall ((Z tptp.int)) (=> (forall ((N2 tptp.nat)) (not (= Z (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (not (forall ((N2 tptp.nat)) (not (= Z (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))))))))
% 19.00/19.18  (assume a6877 (forall ((Z tptp.int)) (not (forall ((M3 tptp.nat) (N2 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 M3)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))))))))
% 19.00/19.18  (assume a6878 (forall ((N tptp.nat) (X2 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 X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X2)))))
% 19.00/19.18  (assume a6879 (forall ((N tptp.nat) (X2 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 X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X2)))))
% 19.00/19.18  (assume a6880 (forall ((N tptp.nat) (X2 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 X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X2)))))
% 19.00/19.18  (assume a6881 (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)))))
% 19.00/19.18  (assume a6882 (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)))))
% 19.00/19.18  (assume a6883 (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)))))
% 19.00/19.18  (assume a6884 (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)))))
% 19.00/19.18  (assume a6885 (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)))))
% 19.00/19.18  (assume a6886 (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)))))
% 19.00/19.18  (assume a6887 (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)))))
% 19.00/19.18  (assume a6888 (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)))))
% 19.00/19.18  (assume a6889 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a6890 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_rat))))
% 19.00/19.18  (assume a6891 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int))))
% 19.00/19.18  (assume a6892 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real))))
% 19.00/19.18  (assume a6893 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a6894 (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)))))
% 19.00/19.18  (assume a6895 (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)))))
% 19.00/19.18  (assume a6896 (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)))))
% 19.00/19.18  (assume a6897 (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)))))
% 19.00/19.18  (assume a6898 (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))))))
% 19.00/19.18  (assume a6899 (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))))))
% 19.00/19.18  (assume a6900 (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))))))
% 19.00/19.18  (assume a6901 (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))))))
% 19.00/19.18  (assume a6902 (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))))))
% 19.00/19.18  (assume a6903 (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))))))
% 19.00/19.18  (assume a6904 (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))))))
% 19.00/19.18  (assume a6905 (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))))))
% 19.00/19.18  (assume a6906 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 19.00/19.18  (assume a6907 (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))))
% 19.00/19.18  (assume a6908 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (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 B))))))
% 19.00/19.18  (assume a6909 (forall ((P tptp.fun_int_bool) (Z tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (=> (forall ((N2 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 N2)))))) (tptp.pp (tptp.aa_int_bool P Z))))))
% 19.00/19.18  (assume a6910 (forall ((Z tptp.int)) (=> (forall ((N2 tptp.nat)) (not (= Z (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (not (forall ((N2 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 N2))))))))))
% 19.00/19.18  (assume a6911 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (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 B))))))
% 19.00/19.18  (assume a6912 (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)))))
% 19.00/19.18  (assume a6913 (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)) (not (forall ((N2 tptp.nat)) (not (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))))))))
% 19.00/19.18  (assume a6914 (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)) (exists ((N2 tptp.nat)) (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))))))
% 19.00/19.18  (assume a6915 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (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 B)))))
% 19.00/19.18  (assume a6916 (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)))))
% 19.00/19.18  (assume a6917 (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))))
% 19.00/19.18  (assume a6918 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) (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 B)))))
% 19.00/19.18  (assume a6919 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 19.00/19.18  (assume a6920 (forall ((W2 tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W2) Z)) (exists ((N3 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))))))
% 19.00/19.18  (assume a6921 (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)))))))
% 19.00/19.18  (assume a6922 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)))))
% 19.00/19.18  (assume a6923 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)))))
% 19.00/19.18  (assume a6924 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)))))
% 19.00/19.18  (assume a6925 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Xa)) (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.semiri1314217659103216013at_int Xa))))))
% 19.00/19.18  (assume a6926 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa)) (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.semiri1314217659103216013at_int Xa))))))
% 19.00/19.18  (assume a6927 (forall ((X2 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) X2)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N2)) X2)))))))
% 19.00/19.18  (assume a6928 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (exists ((N2 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 N2)) X2)))))))
% 19.00/19.18  (assume a6929 (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))))))
% 19.00/19.18  (assume a6930 (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))))))
% 19.00/19.18  (assume a6931 (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))))))
% 19.00/19.18  (assume a6932 (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))))))
% 19.00/19.18  (assume a6933 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (forall ((Y3 tptp.real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2)) X2))))))))
% 19.00/19.18  (assume a6934 (forall ((M tptp.int)) (=> (forall ((N2 tptp.nat)) (not (= M (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (not (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (not (= M (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))))))))))
% 19.00/19.18  (assume a6935 (forall ((N tptp.nat) (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 N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))) (and (= N tptp.zero_zero_nat) (= M tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a6936 (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))))
% 19.00/19.18  (assume a6937 (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))))
% 19.00/19.18  (assume a6938 (forall ((W2 tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) Z)) (exists ((N3 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3))))))))
% 19.00/19.18  (assume a6939 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) tptp.zero_zero_int)) (not (forall ((N2 tptp.nat)) (not (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))))))))
% 19.00/19.18  (assume a6940 (forall ((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.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) tptp.zero_zero_int))))
% 19.00/19.18  (assume a6941 (forall ((F tptp.fun_int_nat) (A2 tptp.set_int)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_lw F) A2))))
% 19.00/19.18  (assume a6942 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_ly F) A2))))
% 19.00/19.18  (assume a6943 (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_cd (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_cu N) C))) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a6944 (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_cd (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw N))) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a6945 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_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.modulo_modulo_int (tptp.aa_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.modulo_modulo_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))))))
% 19.00/19.18  (assume a6946 (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))))))
% 19.00/19.18  (assume a6947 (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 ((N2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))))))
% 19.00/19.18  (assume a6948 (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 ((N2 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)))))))))
% 19.00/19.18  (assume a6949 (forall ((K tptp.int)) (=> (not (= K tptp.zero_zero_int)) (=> (forall ((N2 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2))))) (not (forall ((N2 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2))))))))))
% 19.00/19.18  (assume a6950 (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))))))
% 19.00/19.18  (assume a6951 (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))))))
% 19.00/19.18  (assume a6952 (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)))))))
% 19.00/19.18  (assume a6953 (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))))))))
% 19.00/19.18  (assume a6954 (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))))
% 19.00/19.18  (assume a6955 (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) tptp.zero_zero_int)) (exists ((N2 tptp.nat)) (= X2 (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N2))))))))
% 19.00/19.18  (assume a6956 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex X2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) X2)) tptp.one_one_complex))))
% 19.00/19.18  (assume a6957 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) X2)) tptp.one_one_real))))
% 19.00/19.18  (assume a6958 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat X2) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) X2)) tptp.one_one_rat))))
% 19.00/19.18  (assume a6959 (forall ((X2 tptp.int)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int X2) (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 X2) X2)) tptp.one_one_int))))
% 19.00/19.18  (assume a6960 (forall ((A tptp.nat) (B 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 B))) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) 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 B)))) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) (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 B)))))))
% 19.00/19.18  (assume a6961 (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))))))
% 19.00/19.18  (assume a6962 (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)))))))
% 19.00/19.18  (assume a6963 (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)) (not (forall ((N2 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 N2)))) E2))))))))
% 19.00/19.18  (assume a6964 (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (not (forall ((N2 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 N2)))) E2))))))))
% 19.00/19.18  (assume a6965 (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)))))
% 19.00/19.18  (assume a6966 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.18  (assume a6967 (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)))))
% 19.00/19.18  (assume a6968 (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.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.18  (assume a6969 (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))))))))
% 19.00/19.18  (assume a6970 (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))))))))
% 19.00/19.18  (assume a6971 (forall ((X2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M3)) (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 M3)) X2)) C)))) (= X2 tptp.zero_zero_real))))))
% 19.00/19.18  (assume a6972 (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 ((N2 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)))))))))
% 19.00/19.18  (assume a6973 (forall ((P tptp.fun_int_bool) (X2 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 X2) Y)))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)) (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 X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Y)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 19.00/19.18  (assume a6974 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real (tptp.power_power_real X2) 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 X2))))))
% 19.00/19.18  (assume a6975 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex X2) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) X2)) tptp.one_one_complex))))
% 19.00/19.18  (assume a6976 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) X2)) tptp.one_one_real))))
% 19.00/19.18  (assume a6977 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat X2) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat X2) X2)) tptp.one_one_rat))))
% 19.00/19.18  (assume a6978 (forall ((X2 tptp.int)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int X2) (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 X2) X2)) tptp.one_one_int))))
% 19.00/19.18  (assume a6979 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)))))
% 19.00/19.18  (assume a6980 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat tptp.semiri681578069525770553at_rat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a6981 (forall ((N tptp.nat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) tptp.one_on7984719198319812577d_enat)))))
% 19.00/19.18  (assume a6982 (forall ((N tptp.nat)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)))))
% 19.00/19.18  (assume a6983 (forall ((N tptp.nat)) (= (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.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_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.semiri1314217659103216013at_int 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)))))
% 19.00/19.18  (assume a6984 (forall ((N 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))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.set_or1269000886237332187st_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.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)))))
% 19.00/19.18  (assume a6985 (forall ((N tptp.nat)) (= (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_set_nat_real (tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat 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.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)))))
% 19.00/19.18  (assume a6986 (forall ((A tptp.complex) (D tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_mb A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)) (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)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) D))))))
% 19.00/19.18  (assume a6987 (forall ((A tptp.rat) (D tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_mc A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) D))))))
% 19.00/19.18  (assume a6988 (forall ((A tptp.extended_enat) (D tptp.extended_enat) (N tptp.nat)) (= (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7108830773950497114d_enat (tptp.aa_Ext1337733060012393797d_enat (tptp.aTP_Lamm_md A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.times_7803423173614009249d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) tptp.one_on7984719198319812577d_enat) (tptp.plus_p3455044024723400733d_enat (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) A) (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) D))))))
% 19.00/19.18  (assume a6989 (forall ((A tptp.code_integer) (D tptp.code_integer) (N tptp.nat)) (= (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_me A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) A) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) D))))))
% 19.00/19.18  (assume a6990 (forall ((A tptp.int) (D tptp.int) (N tptp.nat)) (= (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.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mf A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat 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 (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_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))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) D))))))
% 19.00/19.18  (assume a6991 (forall ((A tptp.nat) (D tptp.nat) (N 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))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mg A) D)) (tptp.set_or1269000886237332187st_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.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_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))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) D))))))
% 19.00/19.18  (assume a6992 (forall ((A tptp.real) (D tptp.real) (N tptp.nat)) (= (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_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_mh A) D)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat 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 (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_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_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) D))))))
% 19.00/19.18  (assume a6993 (forall ((A tptp.code_integer) (D tptp.code_integer) (N tptp.nat)) (= (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_me A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.divide6298287555418463151nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) A) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) D))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6994 (forall ((A tptp.int) (D tptp.int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mf A) D) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.aa_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.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_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))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) D)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6995 (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_mg A) D)) (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.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_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))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) D)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.00/19.18  (assume a6996 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.zero_zero_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) (tptp.produc1917071388513777916omplex tptp.aTP_Lamm_mi (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a6997 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) tptp.zero_zero_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) (tptp.produc6207742614233964070at_rat tptp.aTP_Lamm_mj (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a6998 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) tptp.zero_z5237406670263579293d_enat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) (tptp.produc2676513652042109336d_enat tptp.aTP_Lamm_mk (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a6999 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.zero_z3403309356797280102nteger)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.produc1830744345554046123nteger tptp.aTP_Lamm_ml (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7000 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_Pro4240683299535347697at_int (tptp.produc6840382203811409530at_int tptp.aTP_Lamm_mm) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7001 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_Pro6168199777849092593t_real (tptp.produc1703576794950452218t_real tptp.aTP_Lamm_mn) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7002 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_mo) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7003 (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.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H)) N)) (tptp.aa_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.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.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)))))))))
% 19.00/19.18  (assume a7004 (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.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)))))))))
% 19.00/19.18  (assume a7005 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.ln_ln_real X2) (tptp.suminf_real (tptp.aTP_Lamm_mp X2)))))))
% 19.00/19.18  (assume a7006 (forall ((H tptp.complex) (Z tptp.complex) (N tptp.nat)) (=> (not (= H tptp.zero_zero_complex)) (= (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_complex_complex (tptp.times_times_complex H) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mr H) Z) N) (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 tptp.zero_zero_nat)))))))))
% 19.00/19.18  (assume a7007 (forall ((H tptp.rat) (Z tptp.rat) (N tptp.nat)) (=> (not (= H tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Z) H)) N)) (tptp.aa_nat_rat (tptp.power_power_rat Z) N))) H)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat (tptp.power_power_rat 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_rat_rat (tptp.times_times_rat H) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mt H) Z) N) (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 tptp.zero_zero_nat)))))))))
% 19.00/19.18  (assume a7008 (forall ((H tptp.real) (Z tptp.real) (N tptp.nat)) (=> (not (= H 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_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_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.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.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 H) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mv H) Z) N)) (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 tptp.zero_zero_nat)))))))))
% 19.00/19.18  (assume a7009 (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)))))
% 19.00/19.18  (assume a7010 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_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.times_times_rat (tptp.aa_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.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)))))
% 19.00/19.18  (assume a7011 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_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.comm_s7457072308508201937r_real Z) N))) (tptp.aa_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)))))
% 19.00/19.18  (assume a7012 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) (tptp.aa_complex_complex (tptp.semiri2816024913162550771omplex tptp.aTP_Lamm_mw N) tptp.zero_zero_complex))))
% 19.00/19.18  (assume a7013 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) (tptp.aa_rat_rat (tptp.semiri7787848453975740701ux_rat tptp.aTP_Lamm_mx N) tptp.zero_zero_rat))))
% 19.00/19.18  (assume a7014 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.semiri8420488043553186161ux_int tptp.aTP_Lamm_my) N) tptp.zero_zero_int))))
% 19.00/19.18  (assume a7015 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.semiri7260567687927622513x_real tptp.aTP_Lamm_mz) N) tptp.zero_zero_real))))
% 19.00/19.18  (assume a7016 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.semiri8422978514062236437ux_nat tptp.aTP_Lamm_na) N) tptp.zero_zero_nat))))
% 19.00/19.18  (assume a7017 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Y)) (= X2 Y))))
% 19.00/19.18  (assume a7018 (forall ((X2 tptp.int) (Y tptp.int)) (= (= (tptp.set_ord_lessThan_int X2) (tptp.set_ord_lessThan_int Y)) (= X2 Y))))
% 19.00/19.18  (assume a7019 (forall ((X2 tptp.real) (Y tptp.real)) (= (= (tptp.set_or5984915006950818249n_real X2) (tptp.set_or5984915006950818249n_real Y)) (= X2 Y))))
% 19.00/19.18  (assume a7020 (forall ((I tptp.set_nat) (K tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat I) (tptp.set_or890127255671739683et_nat K))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat I) K)))))
% 19.00/19.18  (assume a7021 (forall ((I tptp.rat) (K tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat I) (tptp.set_ord_lessThan_rat K))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) K)))))
% 19.00/19.18  (assume a7022 (forall ((I tptp.num) (K tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I) (tptp.set_ord_lessThan_num K))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num I) K)))))
% 19.00/19.18  (assume a7023 (forall ((I tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K)))))
% 19.00/19.18  (assume a7024 (forall ((I tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) (tptp.set_ord_lessThan_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) K)))))
% 19.00/19.18  (assume a7025 (forall ((I tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) (tptp.set_or5984915006950818249n_real K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) K)))))
% 19.00/19.18  (assume a7026 (forall ((K tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))
% 19.00/19.18  (assume a7027 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_lessThan_rat X2)) (tptp.set_ord_lessThan_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 19.00/19.18  (assume a7028 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_lessThan_num X2)) (tptp.set_ord_lessThan_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)))))
% 19.00/19.18  (assume a7029 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)))))
% 19.00/19.18  (assume a7030 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_lessThan_int X2)) (tptp.set_ord_lessThan_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)))))
% 19.00/19.18  (assume a7031 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or5984915006950818249n_real X2)) (tptp.set_or5984915006950818249n_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))
% 19.00/19.18  (assume a7032 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 19.00/19.18  (assume a7033 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 19.00/19.18  (assume a7034 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 19.00/19.18  (assume a7035 (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)))
% 19.00/19.18  (assume a7036 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 19.00/19.18  (assume a7037 (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))
% 19.00/19.18  (assume a7038 (forall ((K tptp.nat)) (= (tptp.minus_minus_set_nat (tptp.insert_nat K tptp.bot_bot_set_nat) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)) (tptp.insert_nat K tptp.bot_bot_set_nat))))
% 19.00/19.18  (assume a7039 (forall ((K tptp.int)) (= (tptp.minus_minus_set_int (tptp.insert_int K tptp.bot_bot_set_int) (tptp.set_ord_lessThan_int K)) (tptp.insert_int K tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a7040 (forall ((K tptp.real)) (= (tptp.minus_minus_set_real (tptp.insert_real K tptp.bot_bot_set_real) (tptp.set_or5984915006950818249n_real K)) (tptp.insert_real K tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a7041 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_rat G N)))))
% 19.00/19.18  (assume a7042 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_int G N)))))
% 19.00/19.18  (assume a7043 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_nat G N)))))
% 19.00/19.18  (assume a7044 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 19.00/19.18  (assume a7045 (forall ((F tptp.fun_nat_complex)) (= (tptp.suminf_complex (tptp.aTP_Lamm_gn F)) (tptp.aa_nat_complex F tptp.zero_zero_nat))))
% 19.00/19.18  (assume a7046 (forall ((F tptp.fun_nat_real)) (= (tptp.suminf_real (tptp.aTP_Lamm_gp F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))
% 19.00/19.18  (assume a7047 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))))
% 19.00/19.18  (assume a7048 (forall ((P tptp.bool) (A tptp.nat) (B 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) B)) (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) B)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B))))))
% 19.00/19.18  (assume a7049 (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))))
% 19.00/19.18  (assume a7050 (forall ((X2 tptp.int)) (not (= (tptp.set_ord_lessThan_int X2) tptp.bot_bot_set_int))))
% 19.00/19.18  (assume a7051 (forall ((X2 tptp.real)) (not (= (tptp.set_or5984915006950818249n_real X2) tptp.bot_bot_set_real))))
% 19.00/19.18  (assume a7052 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_ord_lessThan_int A))))))
% 19.00/19.18  (assume a7053 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.set_or5984915006950818249n_real A))))))
% 19.00/19.18  (assume a7054 (forall ((U tptp.set_nat)) (= (tptp.set_or890127255671739683et_nat U) (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_nb U)))))
% 19.00/19.18  (assume a7055 (forall ((U tptp.rat)) (= (tptp.set_ord_lessThan_rat U) (tptp.collect_rat (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_nc U)))))
% 19.00/19.18  (assume a7056 (forall ((U tptp.num)) (= (tptp.set_ord_lessThan_num U) (tptp.collect_num (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_nd U)))))
% 19.00/19.18  (assume a7057 (forall ((U tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat U) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay U)))))
% 19.00/19.18  (assume a7058 (forall ((U tptp.int)) (= (tptp.set_ord_lessThan_int U) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ne U)))))
% 19.00/19.18  (assume a7059 (forall ((U tptp.real)) (= (tptp.set_or5984915006950818249n_real U) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_nf U)))))
% 19.00/19.18  (assume a7060 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) tptp.bot_bot_set_nat) (= N tptp.bot_bot_nat))))
% 19.00/19.18  (assume a7061 (forall ((M tptp.rat) (N tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_set_rat (tptp.set_ord_lessThan_rat M)) (tptp.set_ord_lessThan_rat N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat M) N)))))
% 19.00/19.18  (assume a7062 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_set_num (tptp.set_ord_lessThan_num M)) (tptp.set_ord_lessThan_num N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.00/19.18  (assume a7063 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.00/19.18  (assume a7064 (forall ((M tptp.int) (N tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.set_ord_lessThan_int M)) (tptp.set_ord_lessThan_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int M) N)))))
% 19.00/19.18  (assume a7065 (forall ((M tptp.real) (N tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.set_or5984915006950818249n_real M)) (tptp.set_or5984915006950818249n_real N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real M) N)))))
% 19.00/19.18  (assume a7066 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real X2) N))))))
% 19.00/19.18  (assume a7067 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7068 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7069 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7070 (forall ((A tptp.complex) (N tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) 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.comm_s2602460028002588243omplex A) M) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7071 (forall ((A tptp.real) (N tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_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.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7072 (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)))))
% 19.00/19.18  (assume a7073 (forall ((A tptp.complex) (M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) M) tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (not (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.zero_zero_complex))))))
% 19.00/19.18  (assume a7074 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_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.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real))))))
% 19.00/19.18  (assume a7075 (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))))))
% 19.00/19.18  (assume a7076 (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)))))
% 19.00/19.18  (assume a7077 (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))))
% 19.00/19.18  (assume a7078 (forall ((S2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (exists ((K2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)))))))
% 19.00/19.18  (assume a7079 (forall ((S2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (exists ((K3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K3)))))))
% 19.00/19.18  (assume a7080 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real X2) N))))))
% 19.00/19.18  (assume a7081 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7082 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7083 (forall ((X2 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) X2)) (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 X2) N))))))
% 19.00/19.18  (assume a7084 (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)))))
% 19.00/19.18  (assume a7085 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_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.comm_s7457072308508201937r_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7086 (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)))))
% 19.00/19.18  (assume a7087 (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)))))
% 19.00/19.18  (assume a7088 (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)))))
% 19.00/19.18  (assume a7089 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ng G) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7090 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_nh G) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7091 (forall ((Q tptp.fun_int_nat) (P tptp.fun_int_nat) (N tptp.int)) (=> (forall ((X4 tptp.int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat Q X4)) (tptp.aa_int_nat P X4)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat P (tptp.set_ord_lessThan_int N))) (tptp.groups4541462559716669496nt_nat Q (tptp.set_ord_lessThan_int N))) (tptp.groups4541462559716669496nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aTP_Lamm_kh Q) P) (tptp.set_ord_lessThan_int N))))))
% 19.00/19.18  (assume a7092 (forall ((Q tptp.fun_real_nat) (P tptp.fun_real_nat) (N tptp.real)) (=> (forall ((X4 tptp.real)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat Q X4)) (tptp.aa_real_nat P X4)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat P (tptp.set_or5984915006950818249n_real N))) (tptp.groups1935376822645274424al_nat Q (tptp.set_or5984915006950818249n_real N))) (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_kj Q) P) (tptp.set_or5984915006950818249n_real N))))))
% 19.00/19.18  (assume a7093 (forall ((Q tptp.fun_nat_nat) (P tptp.fun_nat_nat) (N tptp.nat)) (=> (forall ((X4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat Q X4)) (tptp.aa_nat_nat P X4)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat P) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat Q) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_kk Q) P)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7094 (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)))))
% 19.00/19.18  (assume a7095 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_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.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) N)))))
% 19.00/19.18  (assume a7096 (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.times_times_rat A) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) N)))))
% 19.00/19.18  (assume a7097 (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)))))
% 19.00/19.18  (assume a7098 (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)))))
% 19.00/19.18  (assume a7099 (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.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N)) (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 19.00/19.18  (assume a7100 (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))))))
% 19.00/19.18  (assume a7101 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_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.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))))))
% 19.00/19.18  (assume a7102 (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))))))
% 19.00/19.18  (assume a7103 (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.times_times_rat (tptp.aa_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)))))
% 19.00/19.18  (assume a7104 (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)))))
% 19.00/19.18  (assume a7105 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_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.comm_s7457072308508201937r_real Z) N)))))
% 19.00/19.18  (assume a7106 (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)))))
% 19.00/19.18  (assume a7107 (forall ((A tptp.complex) (N tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.zero_zero_complex) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) N)) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))))))))
% 19.00/19.18  (assume a7108 (forall ((A tptp.rat) (N tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) N)) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))))))))
% 19.00/19.18  (assume a7109 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) N)) (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))))))))
% 19.00/19.18  (assume a7110 (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)))))
% 19.00/19.18  (assume a7111 (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)))))
% 19.00/19.18  (assume a7112 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer 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)))))
% 19.00/19.18  (assume a7113 (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)))))
% 19.00/19.18  (assume a7114 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_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)))))
% 19.00/19.18  (assume a7115 (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))))
% 19.00/19.18  (assume a7116 (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))))
% 19.00/19.18  (assume a7117 (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_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) K) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.18  (assume a7118 (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))))
% 19.00/19.18  (assume a7119 (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.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real))))
% 19.00/19.18  (assume a7120 (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)))))
% 19.00/19.18  (assume a7121 (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)))))
% 19.00/19.18  (assume a7122 (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_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) K) tptp.zero_z3403309356797280102nteger)))))
% 19.00/19.18  (assume a7123 (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)))))
% 19.00/19.18  (assume a7124 (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.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7125 (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.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.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) M)))))
% 19.00/19.18  (assume a7126 (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)))))
% 19.00/19.18  (assume a7127 (forall ((Z tptp.real) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_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.comm_s7457072308508201937r_real Z) N)) (tptp.aa_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)))))
% 19.00/19.18  (assume a7128 (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)))))
% 19.00/19.18  (assume a7129 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7130 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (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 G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7131 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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 G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7132 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7133 (forall ((F tptp.fun_nat_rat) (M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ni F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F tptp.zero_zero_nat)) (tptp.aa_nat_rat F M)))))
% 19.00/19.18  (assume a7134 (forall ((F tptp.fun_nat_int) (M tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_nj F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F tptp.zero_zero_nat)) (tptp.aa_nat_int F M)))))
% 19.00/19.18  (assume a7135 (forall ((F tptp.fun_nat_real) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_nk F)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_nat_real F M)))))
% 19.00/19.18  (assume a7136 (forall ((F tptp.fun_nat_rat) (M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lh F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F M)) (tptp.aa_nat_rat F tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7137 (forall ((F tptp.fun_nat_int) (M tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_li F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F M)) (tptp.aa_nat_int F tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7138 (forall ((F tptp.fun_nat_real) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lj F)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F M)) (tptp.aa_nat_real F tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7139 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7140 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7141 (forall ((X2 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7142 (forall ((X2 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7143 (forall ((X2 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X2) 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.minus_minus_int tptp.one_one_int) X2)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7144 (forall ((X2 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) N)) (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.one_one_real) X2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7145 (forall ((X2 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) tptp.one_one_complex)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7146 (forall ((X2 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) N)) tptp.one_one_rat) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) tptp.one_one_rat)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7147 (forall ((X2 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X2) N)) 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.minus_minus_int X2) tptp.one_one_int)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7148 (forall ((X2 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X2) N)) 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.minus_minus_real X2) tptp.one_one_real)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7149 (forall ((X2 tptp.complex) (N tptp.nat)) (=> (not (= X2 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7150 (forall ((X2 tptp.rat) (N tptp.nat)) (=> (not (= X2 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) N)) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.minus_minus_rat X2) tptp.one_one_rat))))))
% 19.00/19.18  (assume a7151 (forall ((X2 tptp.real) (N tptp.nat)) (=> (not (= X2 tptp.one_one_real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat 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.power_power_real X2) N)) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7152 (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.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.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)))))))
% 19.00/19.18  (assume a7153 (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)))))))
% 19.00/19.18  (assume a7154 (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.comm_s7457072308508201937r_real Z) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) M)) (tptp.aa_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)))))))
% 19.00/19.18  (assume a7155 (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)))))))
% 19.00/19.18  (assume a7156 (forall ((X2 tptp.complex) (N tptp.nat)) (and (=> (= X2 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (=> (not (= X2 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) N))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)))))))
% 19.00/19.18  (assume a7157 (forall ((X2 tptp.rat) (N tptp.nat)) (and (=> (= X2 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (=> (not (= X2 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) N))) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)))))))
% 19.00/19.18  (assume a7158 (forall ((X2 tptp.real) (N tptp.nat)) (and (=> (= X2 tptp.one_one_real) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (not (= X2 tptp.one_one_real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat 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.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)))))))
% 19.00/19.18  (assume a7159 (forall ((Z tptp.complex) (H tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nl Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nm Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 19.00/19.18  (assume a7160 (forall ((Z tptp.rat) (H tptp.rat) (M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_nn Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_no Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 19.00/19.18  (assume a7161 (forall ((Z tptp.int) (H tptp.int) (M tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_np Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nq Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 19.00/19.18  (assume a7162 (forall ((Z tptp.real) (H tptp.real) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_nr Z) H) M)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ns Z) H) M)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 19.00/19.18  (assume a7163 (forall ((X2 tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nt X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7164 (forall ((X2 tptp.rat) (N tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) N)) (tptp.aa_nat_rat (tptp.power_power_rat Y) N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nu X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7165 (forall ((X2 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X2) N)) (tptp.aa_nat_int (tptp.power_power_int Y) 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.minus_minus_int X2) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nv X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7166 (forall ((X2 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X2) N)) (tptp.aa_nat_real (tptp.power_power_real Y) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) Y)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_nw X2) N) Y)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7167 (forall ((X2 tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nx X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a7168 (forall ((X2 tptp.rat) (N tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_ny X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a7169 (forall ((X2 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int (tptp.power_power_int Y) (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.minus_minus_int X2) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nz X2) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a7170 (forall ((X2 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.power_power_real Y) (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.minus_minus_real X2) Y)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_oa X2) N) Y)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 19.00/19.18  (assume a7171 (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)))))
% 19.00/19.18  (assume a7172 (forall ((R2 tptp.rat) (K tptp.nat)) (= (tptp.aa_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.times_times_rat R2) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)) tptp.one_one_rat)) K)))))
% 19.00/19.18  (assume a7173 (forall ((R2 tptp.code_integer) (K tptp.nat)) (= (tptp.times_3573771949741848930nteger (tptp.minus_8373710615458151222nteger R2 (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2)) K)) (tptp.times_3573771949741848930nteger R2 (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2) tptp.one_one_Code_integer)) K)))))
% 19.00/19.18  (assume a7174 (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)))))
% 19.00/19.18  (assume a7175 (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.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.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)))))
% 19.00/19.18  (assume a7176 (forall ((N tptp.nat) (F tptp.fun_nat_rat) (K5 tptp.rat) (K tptp.nat)) (=> (forall ((P4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P4) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F P4)) K5)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F (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) K)))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) K5)))))))
% 19.00/19.18  (assume a7177 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K5 tptp.int) (K tptp.nat)) (=> (forall ((P4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P4) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F P4)) K5)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (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) K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K5)))))))
% 19.00/19.18  (assume a7178 (forall ((N tptp.nat) (F tptp.fun_nat_nat) (K5 tptp.nat) (K tptp.nat)) (=> (forall ((P4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P4) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F P4)) K5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) K5)) (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 F) (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) K)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) K5)))))))
% 19.00/19.18  (assume a7179 (forall ((N tptp.nat) (F tptp.fun_nat_real) (K5 tptp.real) (K tptp.nat)) (=> (forall ((P4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F P4)) K5)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (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) K)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K5)))))))
% 19.00/19.18  (assume a7180 (forall ((X2 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ob X2) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7181 (forall ((X2 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_oc X2) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7182 (forall ((X2 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X2) 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.minus_minus_int tptp.one_one_int) X2)) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_od X2) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7183 (forall ((X2 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) N)) (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.one_one_real) X2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_oe X2) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7184 (forall ((B tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) 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 B) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)))))
% 19.00/19.18  (assume a7185 (forall ((B tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) K) (tptp.aa_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.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K)))))
% 19.00/19.18  (assume a7186 (forall ((B tptp.code_integer) (K tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) K) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K)) tptp.one_one_Code_integer)) K)))))
% 19.00/19.18  (assume a7187 (forall ((B tptp.int) (K tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int B)) 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 B) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) tptp.one_one_int)) K)))))
% 19.00/19.18  (assume a7188 (forall ((B tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_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 B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 19.00/19.18  (assume a7189 (forall ((B 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 B) (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 B)) K)))))
% 19.00/19.18  (assume a7190 (forall ((B tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K) (tptp.aa_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 B)) K)))))
% 19.00/19.18  (assume a7191 (forall ((B tptp.code_integer) (K tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K)) tptp.one_one_Code_integer)) K) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) K)))))
% 19.00/19.18  (assume a7192 (forall ((B 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 B) (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 B)) K)))))
% 19.00/19.18  (assume a7193 (forall ((B tptp.real) (K tptp.nat)) (= (tptp.aa_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 B) (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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K)))))
% 19.00/19.18  (assume a7194 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_of 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.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_og F)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_oh G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.18  (assume a7195 (forall ((X2 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 X2)) tptp.zero_zero_real)) (= X2 tptp.zero_zero_real))))
% 19.00/19.18  (assume a7196 (forall ((X2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2)) tptp.zero_zero_real)) (= X2 tptp.zero_zero_complex))))
% 19.00/19.18  (assume a7197 (forall ((X2 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 X2))) (not (= X2 tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7198 (forall ((X2 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 X2))) (not (= X2 tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7199 (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.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))))))
% 19.00/19.18  (assume a7200 (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))))))
% 19.00/19.18  (assume a7201 (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.18  (assume a7202 (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex tptp.zero_zero_complex) tptp.zero_zero_real))
% 19.00/19.18  (assume a7203 (forall ((X2 tptp.real)) (= (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_real))))
% 19.00/19.18  (assume a7204 (forall ((X2 tptp.complex)) (= (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_complex))))
% 19.00/19.18  (assume a7205 (= (tptp.suminf_complex tptp.aTP_Lamm_oi) tptp.zero_zero_complex))
% 19.00/19.18  (assume a7206 (= (tptp.suminf_real tptp.aTP_Lamm_fi) tptp.zero_zero_real))
% 19.00/19.18  (assume a7207 (= (tptp.suminf_nat tptp.aTP_Lamm_cb) tptp.zero_zero_nat))
% 19.00/19.18  (assume a7208 (= (tptp.suminf_int tptp.aTP_Lamm_oj) tptp.zero_zero_int))
% 19.00/19.18  (assume a7209 (forall ((X2 tptp.complex)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2)) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7210 (forall ((X2 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 X2)) Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) Y)))))
% 19.00/19.18  (assume a7211 (forall ((X2 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 X2)) Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X2) Y)))))
% 19.00/19.18  (assume a7212 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B 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) B)) (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 B))))))
% 19.00/19.18  (assume a7213 (forall ((B tptp.complex) (A tptp.complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (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 B))))))
% 19.00/19.18  (assume a7214 (forall ((W2 tptp.real) (N tptp.nat) (Z tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real W2) N) (tptp.aa_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 W2) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))
% 19.00/19.18  (assume a7215 (forall ((W2 tptp.complex) (N tptp.nat) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W2) 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 W2) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 19.00/19.18  (assume a7216 (forall ((X2 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 X2)) 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) S)))))))
% 19.00/19.18  (assume a7217 (forall ((X2 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 X2)) 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) S)))))))
% 19.00/19.18  (assume a7218 (forall ((X2 tptp.real) (Y tptp.real) (E2 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 X2)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E2)) (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 X2) Y))) E2)))))
% 19.00/19.18  (assume a7219 (forall ((X2 tptp.complex) (Y tptp.complex) (E2 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 X2)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E2)) (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 X2) Y))) E2)))))
% 19.00/19.18  (assume a7220 (forall ((X2 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 X2)) 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.00/19.18  (assume a7221 (forall ((X2 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 X2)) 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.00/19.18  (assume a7222 (forall ((A tptp.real) (B 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) B))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) C))))))
% 19.00/19.18  (assume a7223 (forall ((A tptp.complex) (B 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) B))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) C))))))
% 19.00/19.18  (assume a7224 (forall ((X2 tptp.real) (Y tptp.real) (E2 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 X2)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E2)) (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 X2) Y))) E2)))))
% 19.00/19.18  (assume a7225 (forall ((X2 tptp.complex) (Y tptp.complex) (E2 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 X2)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E2)) (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 X2) Y))) E2)))))
% 19.00/19.18  (assume a7226 (forall ((X2 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 19.00/19.18  (assume a7227 (forall ((X2 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 X2) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 19.00/19.18  (assume a7228 (forall ((A tptp.real) (R2 tptp.real) (B 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 B)) 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) B))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.00/19.18  (assume a7229 (forall ((A tptp.complex) (R2 tptp.real) (B 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 B)) 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) B))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.00/19.18  (assume a7230 (forall ((X2 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 X2) 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 X2) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.00/19.18  (assume a7231 (forall ((X2 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 X2) 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 X2) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.00/19.18  (assume a7232 (forall ((A tptp.real) (B 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 B))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B))))))
% 19.00/19.18  (assume a7233 (forall ((A tptp.complex) (B 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 B))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))))
% 19.00/19.18  (assume a7234 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_complex F N2) tptp.zero_zero_complex))) (= (tptp.suminf_complex F) (tptp.groups2073611262835488442omplex F N4))))))
% 19.00/19.18  (assume a7235 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_int F N2) tptp.zero_zero_int))) (= (tptp.suminf_int F) (tptp.groups3539618377306564664at_int F N4))))))
% 19.00/19.18  (assume a7236 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_nat F N2) tptp.zero_zero_nat))) (= (tptp.suminf_nat F) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) N4))))))
% 19.00/19.18  (assume a7237 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_real F N2) tptp.zero_zero_real))) (= (tptp.suminf_real F) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) N4))))))
% 19.00/19.18  (assume a7238 (forall ((W2 tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.power_power_real W2) N) tptp.one_one_real) (or (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W2) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7239 (forall ((W2 tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W2) N) tptp.one_one_complex) (or (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W2) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7240 (forall ((A tptp.real) (B 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) B)) (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 B) D)))))))
% 19.00/19.18  (assume a7241 (forall ((A tptp.complex) (B 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) B)) (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 B) D)))))))
% 19.00/19.18  (assume a7242 (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_ok Z) (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))))))
% 19.00/19.18  (assume a7243 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_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.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_ol Z) (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))))))
% 19.00/19.18  (assume a7244 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_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.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_om Z)) (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))))))
% 19.00/19.18  (assume a7245 (= (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_on)))
% 19.00/19.18  (assume a7246 (forall ((K tptp.int) (L tptp.int)) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.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.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.00/19.18  (assume a7247 (forall ((X2 tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X2) Xa2) Y) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (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_set_int_bool (tptp.member_int Xa2) (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))) X2))) (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))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (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_set_int_bool (tptp.member_int Xa2) (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))) X2))) (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))) Xa2))))) (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.divide_divide_int X2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.divide_divide_int Xa2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.00/19.18  (assume a7248 (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_oo 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))))))
% 19.00/19.18  (assume a7249 (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_op 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))))))
% 19.00/19.18  (assume a7250 (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.aa_nat_fun_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_oq 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))))))
% 19.00/19.18  (assume a7251 (forall ((N tptp.nat) (A tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_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_or 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))))))
% 19.00/19.18  (assume a7252 (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_os 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))))))
% 19.00/19.18  (assume a7253 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_ot Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7254 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_ou Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.18  (assume a7255 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7256 (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)))
% 19.00/19.18  (assume a7257 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7258 (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)))
% 19.00/19.18  (assume a7259 (forall ((X2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) X2) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7260 (forall ((X2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X2) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7261 (forall ((F tptp.fun_int_nat) (A2 tptp.set_int)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1705073143266064639nt_int (tptp.aTP_Lamm_lw F) A2))))
% 19.00/19.18  (assume a7262 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ma F)) A2))))
% 19.00/19.18  (assume a7263 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_ly F) A2))))
% 19.00/19.18  (assume a7264 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_lz F)) A2))))
% 19.00/19.18  (assume a7265 (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex tptp.aTP_Lamm_oi) tptp.zero_zero_complex)))
% 19.00/19.18  (assume a7266 (tptp.pp (tptp.aa_real_bool (tptp.sums_real tptp.aTP_Lamm_fi) tptp.zero_zero_real)))
% 19.00/19.18  (assume a7267 (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat tptp.aTP_Lamm_cb) tptp.zero_zero_nat)))
% 19.00/19.18  (assume a7268 (tptp.pp (tptp.aa_int_bool (tptp.sums_int tptp.aTP_Lamm_oj) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7269 (forall ((F tptp.fun_nat_int) (A2 tptp.set_nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.groups705719431365010083at_int F A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_gj F)) A2))))
% 19.00/19.18  (assume a7270 (forall ((F tptp.fun_nat_int) (A2 tptp.set_nat)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.groups705719431365010083at_int F A2)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_ov F) A2))))
% 19.00/19.18  (assume a7271 (forall ((F tptp.fun_nat_int) (A2 tptp.set_nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.groups705719431365010083at_int F A2)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_ow F) A2))))
% 19.00/19.18  (assume a7272 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups2316167850115554303t_real (tptp.aTP_Lamm_gk F) A2))))
% 19.00/19.18  (assume a7273 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups1072433553688619179nt_rat (tptp.aTP_Lamm_gl F) A2))))
% 19.00/19.18  (assume a7274 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups1705073143266064639nt_int (tptp.aTP_Lamm_gm F) A2))))
% 19.00/19.18  (assume a7275 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.groups6464643781859351333omplex F A2) tptp.zero_zero_complex) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_complex F X3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a7276 (forall ((A2 tptp.set_int) (F tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups7440179247065528705omplex F A2) tptp.zero_zero_complex) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_complex F X3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a7277 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups3708469109370488835omplex F A2) tptp.zero_zero_complex) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_complex F X3) tptp.zero_zero_complex)))))))
% 19.00/19.18  (assume a7278 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2) tptp.zero_zero_real) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_real F X3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a7279 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups2316167850115554303t_real F A2) tptp.zero_zero_real) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_real F X3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a7280 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups766887009212190081x_real F A2) tptp.zero_zero_real) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_real F X3) tptp.zero_zero_real)))))))
% 19.00/19.18  (assume a7281 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.groups73079841787564623at_rat F A2) tptp.zero_zero_rat) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_rat F X3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a7282 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups1072433553688619179nt_rat F A2) tptp.zero_zero_rat) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_rat F X3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a7283 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups225925009352817453ex_rat F A2) tptp.zero_zero_rat) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_rat F X3) tptp.zero_zero_rat)))))))
% 19.00/19.18  (assume a7284 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups1707563613775114915nt_nat F A2) tptp.zero_zero_nat) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_nat F X3) tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a7285 (forall ((G tptp.fun_real_complex)) (= (tptp.groups713298508707869441omplex G tptp.bot_bot_set_real) tptp.one_one_complex)))
% 19.00/19.18  (assume a7286 (forall ((G tptp.fun_real_real)) (= (tptp.groups1681761925125756287l_real G tptp.bot_bot_set_real) tptp.one_one_real)))
% 19.00/19.18  (assume a7287 (forall ((G tptp.fun_real_rat)) (= (tptp.groups4061424788464935467al_rat G tptp.bot_bot_set_real) tptp.one_one_rat)))
% 19.00/19.18  (assume a7288 (forall ((G tptp.fun_real_nat)) (= (tptp.groups4696554848551431203al_nat G tptp.bot_bot_set_real) tptp.one_one_nat)))
% 19.00/19.18  (assume a7289 (forall ((G tptp.fun_real_int)) (= (tptp.groups4694064378042380927al_int G tptp.bot_bot_set_real) tptp.one_one_int)))
% 19.00/19.18  (assume a7290 (forall ((G tptp.fun_nat_complex)) (= (tptp.groups6464643781859351333omplex G tptp.bot_bot_set_nat) tptp.one_one_complex)))
% 19.00/19.18  (assume a7291 (forall ((G tptp.fun_nat_real)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) tptp.bot_bot_set_nat) tptp.one_one_real)))
% 19.00/19.18  (assume a7292 (forall ((G tptp.fun_nat_rat)) (= (tptp.groups73079841787564623at_rat G tptp.bot_bot_set_nat) tptp.one_one_rat)))
% 19.00/19.18  (assume a7293 (forall ((G tptp.fun_int_complex)) (= (tptp.groups7440179247065528705omplex G tptp.bot_bot_set_int) tptp.one_one_complex)))
% 19.00/19.18  (assume a7294 (forall ((G tptp.fun_int_real)) (= (tptp.groups2316167850115554303t_real G tptp.bot_bot_set_int) tptp.one_one_real)))
% 19.00/19.18  (assume a7295 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups6464643781859351333omplex G A2) tptp.one_one_complex))))
% 19.00/19.18  (assume a7296 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups7440179247065528705omplex G A2) tptp.one_one_complex))))
% 19.00/19.18  (assume a7297 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups3708469109370488835omplex G A2) tptp.one_one_complex))))
% 19.00/19.18  (assume a7298 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2) tptp.one_one_real))))
% 19.00/19.18  (assume a7299 (forall ((A2 tptp.set_int) (G tptp.fun_int_real)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups2316167850115554303t_real G A2) tptp.one_one_real))))
% 19.00/19.18  (assume a7300 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups766887009212190081x_real G A2) tptp.one_one_real))))
% 19.00/19.18  (assume a7301 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups73079841787564623at_rat G A2) tptp.one_one_rat))))
% 19.00/19.18  (assume a7302 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups1072433553688619179nt_rat G A2) tptp.one_one_rat))))
% 19.00/19.18  (assume a7303 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups225925009352817453ex_rat G A2) tptp.one_one_rat))))
% 19.00/19.18  (assume a7304 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2))) (= (tptp.groups1707563613775114915nt_nat G A2) tptp.one_one_nat))))
% 19.00/19.18  (assume a7305 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.nat) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (=> (= B (tptp.aa_VEBT_VEBT_nat F A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (tptp.groups6361806394783013919BT_nat F A2))))))))
% 19.00/19.18  (assume a7306 (forall ((A2 tptp.set_real) (A tptp.real) (B tptp.nat) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (=> (= B (tptp.aa_real_nat F A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (tptp.groups4696554848551431203al_nat F A2))))))))
% 19.00/19.18  (assume a7307 (forall ((A2 tptp.set_int) (A tptp.int) (B tptp.nat) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (=> (= B (tptp.aa_int_nat F A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (tptp.groups1707563613775114915nt_nat F A2))))))))
% 19.00/19.18  (assume a7308 (forall ((A2 tptp.set_complex) (A tptp.complex) (B tptp.nat) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (=> (= B (tptp.aa_complex_nat F A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (tptp.groups861055069439313189ex_nat F A2))))))))
% 19.00/19.18  (assume a7309 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.int) (F tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (=> (= B (tptp.aa_VEBT_VEBT_int F A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.groups6359315924273963643BT_int F A2))))))))
% 19.00/19.18  (assume a7310 (forall ((A2 tptp.set_real) (A tptp.real) (B tptp.int) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (=> (= B (tptp.aa_real_int F A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.groups4694064378042380927al_int F A2))))))))
% 19.00/19.18  (assume a7311 (forall ((A2 tptp.set_complex) (A tptp.complex) (B tptp.int) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (=> (= B (tptp.aa_complex_int F A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.groups858564598930262913ex_int F A2))))))))
% 19.00/19.18  (assume a7312 (forall ((A2 tptp.set_nat) (A tptp.nat) (B tptp.int) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (=> (= B (tptp.aa_nat_int F A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.groups705719431365010083at_int F A2))))))))
% 19.00/19.18  (assume a7313 (forall ((A2 tptp.set_int) (A tptp.int) (B tptp.int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (=> (= B (tptp.aa_int_int F A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) (tptp.groups1705073143266064639nt_int F A2))))))))
% 19.00/19.18  (assume a7314 (forall ((A2 tptp.set_nat) (A tptp.nat) (B tptp.nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (=> (= B (tptp.aa_nat_nat F A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2))))))))
% 19.00/19.18  (assume a7315 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_VEBT_VEBT_nat F A)) (tptp.groups6361806394783013919BT_nat F A2)))))))
% 19.00/19.18  (assume a7316 (forall ((A2 tptp.set_real) (A tptp.real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_real_nat F A)) (tptp.groups4696554848551431203al_nat F A2)))))))
% 19.00/19.18  (assume a7317 (forall ((A2 tptp.set_int) (A tptp.int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_int_nat F A)) (tptp.groups1707563613775114915nt_nat F A2)))))))
% 19.00/19.18  (assume a7318 (forall ((A2 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_complex_nat F A)) (tptp.groups861055069439313189ex_nat F A2)))))))
% 19.00/19.18  (assume a7319 (forall ((A2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_VEBT_VEBT_int F A)) (tptp.groups6359315924273963643BT_int F A2)))))))
% 19.00/19.18  (assume a7320 (forall ((A2 tptp.set_real) (A tptp.real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_real_int F A)) (tptp.groups4694064378042380927al_int F A2)))))))
% 19.00/19.18  (assume a7321 (forall ((A2 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_complex_int F A)) (tptp.groups858564598930262913ex_int F A2)))))))
% 19.00/19.18  (assume a7322 (forall ((A2 tptp.set_nat) (A tptp.nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int F A)) (tptp.groups705719431365010083at_int F A2)))))))
% 19.00/19.18  (assume a7323 (forall ((A2 tptp.set_int) (A tptp.int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int F A)) (tptp.groups1705073143266064639nt_int F A2)))))))
% 19.00/19.18  (assume a7324 (forall ((A2 tptp.set_nat) (A tptp.nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat F A)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)))))))
% 19.00/19.18  (assume a7325 (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))))))
% 19.00/19.18  (assume a7326 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups127312072573709053omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ox A) B) S2) (tptp.aa_VEBT_VEBT_complex B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups127312072573709053omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ox A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7327 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_oy A) B) S2) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_oy A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7328 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_oz A) B) S2) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_oz A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7329 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pa A) B) S2) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pa A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7330 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pb A) B) S2) (tptp.aa_complex_complex B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pb A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7331 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pc A) B) S2) (tptp.aa_VEBT_VEBT_real B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pc A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7332 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pd A) B) S2) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pd A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7333 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pe A) B)) S2) (tptp.aa_nat_real B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pe A) B)) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7334 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pf A) B) S2) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pf A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7335 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pg A) B) S2) (tptp.aa_complex_real B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pg A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7336 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups127312072573709053omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ph A) B) S2) (tptp.aa_VEBT_VEBT_complex B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups127312072573709053omplex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ph A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7337 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_pi A) B) S2) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_pi A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7338 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_pj A) B) S2) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_pj A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7339 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pk A) B) S2) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pk A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7340 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pl A) B) S2) (tptp.aa_complex_complex B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pl A) B) S2) tptp.one_one_complex))))))
% 19.00/19.18  (assume a7341 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pm A) B) S2) (tptp.aa_VEBT_VEBT_real B A))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pm A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7342 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pn A) B) S2) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pn A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7343 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_po A) B)) S2) (tptp.aa_nat_real B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_po A) B)) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7344 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pp A) B) S2) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pp A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7345 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pq A) B) S2) (tptp.aa_complex_real B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pq A) B) S2) tptp.one_one_real))))))
% 19.00/19.18  (assume a7346 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups2703838992350267259T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2703838992350267259T_real G A2)))))))
% 19.00/19.18  (assume a7347 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X2)) (tptp.groups1681761925125756287l_real G A2)))))))
% 19.00/19.18  (assume a7348 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.insert_nat X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2)))))))
% 19.00/19.18  (assume a7349 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X2)) (tptp.groups2316167850115554303t_real G A2)))))))
% 19.00/19.18  (assume a7350 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X2)) (tptp.groups766887009212190081x_real G A2)))))))
% 19.00/19.18  (assume a7351 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups5726676334696518183BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups5726676334696518183BT_rat G A2)))))))
% 19.00/19.18  (assume a7352 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_real_rat G X2)) (tptp.groups4061424788464935467al_rat G A2)))))))
% 19.00/19.18  (assume a7353 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G X2)) (tptp.groups73079841787564623at_rat G A2)))))))
% 19.00/19.18  (assume a7354 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat G X2)) (tptp.groups1072433553688619179nt_rat G A2)))))))
% 19.00/19.18  (assume a7355 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_complex_rat G X2)) (tptp.groups225925009352817453ex_rat G A2)))))))
% 19.00/19.18  (assume a7356 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 19.00/19.18  (assume a7357 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_rat G N)))))
% 19.00/19.18  (assume a7358 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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_ord_lessThan_nat N))) (tptp.aa_nat_int G N)))))
% 19.00/19.18  (assume a7359 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_nat G N)))))
% 19.00/19.18  (assume a7360 (forall ((X2 tptp.num)) (= (tptp.bit_se3949692690581998587nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 X2)) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.18  (assume a7361 (forall ((X2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X2))) tptp.one_one_int) tptp.zero_zero_int)))
% 19.00/19.18  (assume a7362 (forall ((X2 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 X2))) tptp.one_one_nat) tptp.zero_zero_nat)))
% 19.00/19.18  (assume a7363 (forall ((Y tptp.num)) (= (tptp.bit_se3949692690581998587nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_z3403309356797280102nteger)))
% 19.00/19.18  (assume a7364 (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)))
% 19.00/19.18  (assume a7365 (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)))
% 19.00/19.18  (assume a7366 (forall ((A tptp.fun_nat_complex) (X2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_gn A)) X2)) (= (tptp.aa_nat_complex A tptp.zero_zero_nat) X2))))
% 19.00/19.18  (assume a7367 (forall ((A tptp.fun_nat_real) (X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_gp A)) X2)) (= (tptp.aa_nat_real A tptp.zero_zero_nat) X2))))
% 19.00/19.18  (assume a7368 (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.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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a7369 (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a7370 (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.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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a7371 (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.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.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.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a7372 (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.00/19.18  (assume a7373 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.bit_se3949692690581998587nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 X2)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 Y))) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.bit_se3949692690581998587nteger (tptp.numera6620942414471956472nteger X2) (tptp.numera6620942414471956472nteger Y)))))))
% 19.00/19.18  (assume a7374 (forall ((X2 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 X2))) (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 X2)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 19.00/19.18  (assume a7375 (forall ((X2 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 X2))) (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 X2)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 19.00/19.18  (assume a7376 (forall ((F tptp.fun_nat_complex)) (=> (forall ((N2 tptp.nat)) (= (tptp.aa_nat_complex F N2) tptp.zero_zero_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7377 (forall ((F tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (= (tptp.aa_nat_real F N2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7378 (forall ((F tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (= (tptp.aa_nat_nat F N2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7379 (forall ((F tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (= (tptp.aa_nat_int F N2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) tptp.zero_zero_int)))))
% 19.00/19.18  (assume a7380 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (S tptp.real) (T tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real G N2)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real S) T)))))))
% 19.00/19.18  (assume a7381 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat) (S tptp.nat) (T tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat G N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) S)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat G) T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat S) T)))))))
% 19.00/19.18  (assume a7382 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int) (S tptp.int) (T tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int G N2)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) S)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int G) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int S) T)))))))
% 19.00/19.18  (assume a7383 (forall ((I tptp.nat) (F tptp.fun_nat_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ga I) F)) (tptp.aa_nat_complex F I)))))
% 19.00/19.18  (assume a7384 (forall ((I tptp.nat) (F tptp.fun_nat_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pr I) F)) (tptp.aa_nat_real F I)))))
% 19.00/19.18  (assume a7385 (forall ((I tptp.nat) (F tptp.fun_nat_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ps I) F)) (tptp.aa_nat_nat F I)))))
% 19.00/19.18  (assume a7386 (forall ((I tptp.nat) (F tptp.fun_nat_int)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pt I) F)) (tptp.aa_nat_int F I)))))
% 19.00/19.18  (assume a7387 (forall ((F tptp.fun_nat_real) (A tptp.real) (G tptp.fun_nat_real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) B)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_hk F) G)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)))))))
% 19.00/19.18  (assume a7388 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (G tptp.fun_nat_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat G) B)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_hi F) G)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 19.00/19.18  (assume a7389 (forall ((F tptp.fun_nat_int) (A tptp.int) (G tptp.fun_nat_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int G) B)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pu F) G)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 19.00/19.18  (assume a7390 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_nat) (G tptp.fun_VE7331017413731640256at_int) (R tptp.fun_VE3763956218935105199t_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups6359315924273963643BT_int (tptp.aa_fun6141810409722670662BT_int (tptp.aa_fun6474440919679335769BT_int (tptp.aTP_Lamm_pv B2) G) R) A2) (tptp.groups705719431365010083at_int (tptp.aa_fun1384843155787029862at_int (tptp.aa_fun6066863168309489065at_int (tptp.aTP_Lamm_px A2) G) R) B2))))))
% 19.00/19.18  (assume a7391 (forall ((A2 tptp.set_real) (B2 tptp.set_nat) (G tptp.fun_real_fun_nat_int) (R tptp.fun_re9121486324101951821t_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups4694064378042380927al_int (tptp.aa_fun1626300625876492518al_int (tptp.aa_fun1560246819506852821al_int (tptp.aTP_Lamm_py B2) G) R) A2) (tptp.groups705719431365010083at_int (tptp.aa_fun1494899438858969354at_int (tptp.aa_fun6942549246588167161at_int (tptp.aTP_Lamm_qa A2) G) R) B2))))))
% 19.00/19.18  (assume a7392 (forall ((A2 tptp.set_complex) (B2 tptp.set_nat) (G tptp.fun_co7370231399432144932at_int) (R tptp.fun_co2841405903858895691t_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups858564598930262913ex_int (tptp.aa_fun4872694516007147366ex_int (tptp.aa_fun2110580046701903059ex_int (tptp.aTP_Lamm_qb B2) G) R) A2) (tptp.groups705719431365010083at_int (tptp.aa_fun6041977265744554632at_int (tptp.aa_fun3475035881565545205at_int (tptp.aTP_Lamm_qd A2) G) R) B2))))))
% 19.00/19.18  (assume a7393 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_int) (G tptp.fun_VE294566951569886236nt_int) (R tptp.fun_VE3303673267288458579t_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups6359315924273963643BT_int (tptp.aa_fun4615758601980977314BT_int (tptp.aa_fun627869447348354137BT_int (tptp.aTP_Lamm_qe B2) G) R) A2) (tptp.groups1705073143266064639nt_int (tptp.aa_fun5422038952152218214nt_int (tptp.aa_fun3638225402958239493nt_int (tptp.aTP_Lamm_qf A2) G) R) B2))))))
% 19.00/19.18  (assume a7394 (forall ((A2 tptp.set_real) (B2 tptp.set_int) (G tptp.fun_real_fun_int_int) (R tptp.fun_re8661203372455305201t_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups4694064378042380927al_int (tptp.aa_fun529217645232493962al_int (tptp.aa_fun5832317237790237469al_int (tptp.aTP_Lamm_qg B2) G) R) A2) (tptp.groups1705073143266064639nt_int (tptp.aa_fun5532095235224157706nt_int (tptp.aa_fun4786959800906006429nt_int (tptp.aTP_Lamm_qh A2) G) R) B2))))))
% 19.00/19.18  (assume a7395 (forall ((A2 tptp.set_complex) (B2 tptp.set_int) (G tptp.fun_co333780937270390912nt_int) (R tptp.fun_co2381122952212249071t_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (= (tptp.groups858564598930262913ex_int (tptp.aa_fun3700423334941611530ex_int (tptp.aa_fun3520494530470439451ex_int (tptp.aTP_Lamm_qi B2) G) R) A2) (tptp.groups1705073143266064639nt_int (tptp.aa_fun855801025254967176nt_int (tptp.aa_fun315996177946036377nt_int (tptp.aTP_Lamm_qj A2) G) R) B2))))))
% 19.00/19.18  (assume a7396 (forall ((A2 tptp.set_VEBT_VEBT) (B2 tptp.set_nat) (G tptp.fun_VE597728521808591204at_nat) (R tptp.fun_VE3763956218935105199t_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups6361806394783013919BT_nat (tptp.aa_fun1096289392377091562BT_nat (tptp.aa_fun7476968357888788569BT_nat (tptp.aTP_Lamm_qk B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5562694175296226570at_nat (tptp.aa_fun8318684123515291377at_nat (tptp.aTP_Lamm_ql A2) G) R)) B2))))))
% 19.00/19.18  (assume a7397 (forall ((A2 tptp.set_real) (B2 tptp.set_nat) (G tptp.fun_real_fun_nat_nat) (R tptp.fun_re9121486324101951821t_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups4696554848551431203al_nat (tptp.aa_fun5804151645385689226al_nat (tptp.aa_fun8436216498351771861al_nat (tptp.aTP_Lamm_qm B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5672750458368166062at_nat (tptp.aa_fun6824837968375615225at_nat (tptp.aTP_Lamm_qn A2) G) R)) B2))))))
% 19.00/19.18  (assume a7398 (forall ((A2 tptp.set_int) (B2 tptp.set_nat) (G tptp.fun_int_fun_nat_nat) (R tptp.fun_int_fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups1707563613775114915nt_nat (tptp.aa_fun5132377469993263754nt_nat (tptp.aa_fun348247319442030677nt_nat (tptp.aTP_Lamm_qo B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun4133023758092209198at_nat (tptp.aa_fun7384697781603784697at_nat (tptp.aTP_Lamm_qp A2) G) R)) B2))))))
% 19.00/19.18  (assume a7399 (forall ((A2 tptp.set_complex) (B2 tptp.set_nat) (G tptp.fun_co636942507509095880at_nat) (R tptp.fun_co2841405903858895691t_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (= (tptp.groups861055069439313189ex_nat (tptp.aa_fun9050545535516344074ex_nat (tptp.aa_fun2757644259618170323ex_nat (tptp.aTP_Lamm_qq B2) G) R) A2) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun996456248398975532at_nat (tptp.aa_fun8754082201773474805at_nat (tptp.aTP_Lamm_qr A2) G) R)) B2))))))
% 19.00/19.18  (assume a7400 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A2)) (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.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2))))))
% 19.00/19.18  (assume a7401 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real) (G tptp.fun_VEBT_VEBT_real)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) A2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_VEBT_VEBT_real F I3)) (tptp.aa_VEBT_VEBT_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2703838992350267259T_real F A2)) (tptp.groups2703838992350267259T_real G A2))))))
% 19.00/19.18  (assume a7402 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A2)) (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 A2)) (tptp.groups2316167850115554303t_real G A2))))))
% 19.00/19.18  (assume a7403 (forall ((A2 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A2)) (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 A2)) (tptp.groups1681761925125756287l_real G A2))))))
% 19.00/19.18  (assume a7404 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A2)) (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 A2)) (tptp.groups73079841787564623at_rat G A2))))))
% 19.00/19.18  (assume a7405 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) A2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F I3)) (tptp.aa_VEBT_VEBT_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5726676334696518183BT_rat F A2)) (tptp.groups5726676334696518183BT_rat G A2))))))
% 19.00/19.18  (assume a7406 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A2)) (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 A2)) (tptp.groups1072433553688619179nt_rat G A2))))))
% 19.00/19.18  (assume a7407 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A2)) (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 A2)) (tptp.groups4061424788464935467al_rat G A2))))))
% 19.00/19.18  (assume a7408 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) A2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F I3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F I3)) (tptp.aa_VEBT_VEBT_nat G I3)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups6361806394783013919BT_nat F A2)) (tptp.groups6361806394783013919BT_nat G A2))))))
% 19.00/19.18  (assume a7409 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_int_nat F I3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I3)) (tptp.aa_int_nat G I3)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1707563613775114915nt_nat G A2))))))
% 19.00/19.18  (assume a7410 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (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 A2))))))
% 19.00/19.18  (assume a7411 (forall ((A2 tptp.set_int) (F tptp.fun_int_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))))) (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 A2))))))
% 19.00/19.18  (assume a7412 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2))))))
% 19.00/19.18  (assume a7413 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.groups705719431365010083at_int F A2))))))
% 19.00/19.18  (assume a7414 (forall ((A2 tptp.set_int) (F tptp.fun_int_int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.groups1705073143266064639nt_int F A2))))))
% 19.00/19.18  (assume a7415 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2))))))
% 19.00/19.18  (assume a7416 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2))))))
% 19.00/19.18  (assume a7417 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_VEBT_VEBT_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups2703838992350267259T_real F A2))))))
% 19.00/19.18  (assume a7418 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F A2))))))
% 19.00/19.18  (assume a7419 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F A2))))))
% 19.00/19.18  (assume a7420 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))))) (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 A2))))))
% 19.00/19.18  (assume a7421 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_VEBT_VEBT_rat F X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups5726676334696518183BT_rat F A2))))))
% 19.00/19.18  (assume a7422 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))))) (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 A2))))))
% 19.00/19.18  (assume a7423 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (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 X4))))) (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 A2))))))
% 19.00/19.18  (assume a7424 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_VEBT_VEBT_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.groups6361806394783013919BT_nat F A2))))))
% 19.00/19.18  (assume a7425 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_int_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.groups1707563613775114915nt_nat F A2))))))
% 19.00/19.18  (assume a7426 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.aa_nat_complex F X) tptp.zero_zero_complex))) (= (tptp.groups6464643781859351333omplex F A2) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7427 (forall ((A2 tptp.set_int) (F tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.aa_int_complex F X) tptp.zero_zero_complex))) (= (tptp.groups7440179247065528705omplex F A2) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7428 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.aa_complex_complex F X) tptp.zero_zero_complex))) (= (tptp.groups3708469109370488835omplex F A2) tptp.zero_zero_complex)))))
% 19.00/19.18  (assume a7429 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.aa_nat_real F X) tptp.zero_zero_real))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7430 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.aa_int_real F X) tptp.zero_zero_real))) (= (tptp.groups2316167850115554303t_real F A2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7431 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.aa_complex_real F X) tptp.zero_zero_real))) (= (tptp.groups766887009212190081x_real F A2) tptp.zero_zero_real)))))
% 19.00/19.18  (assume a7432 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.aa_nat_rat F X) tptp.zero_zero_rat))) (= (tptp.groups73079841787564623at_rat F A2) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a7433 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.aa_int_rat F X) tptp.zero_zero_rat))) (= (tptp.groups1072433553688619179nt_rat F A2) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a7434 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.aa_complex_rat F X) tptp.zero_zero_rat))) (= (tptp.groups225925009352817453ex_rat F A2) tptp.zero_zero_rat)))))
% 19.00/19.18  (assume a7435 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.aa_int_nat F X) tptp.zero_zero_nat))) (= (tptp.groups1707563613775114915nt_nat F A2) tptp.zero_zero_nat)))))
% 19.00/19.18  (assume a7436 (forall ((F tptp.fun_nat_complex) (A tptp.nat) (B tptp.nat)) (= (tptp.groups6464643781859351333omplex F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_qs F) A B) tptp.one_one_complex))))
% 19.00/19.18  (assume a7437 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_qt F) A) B) tptp.one_one_real))))
% 19.00/19.18  (assume a7438 (forall ((F tptp.fun_nat_rat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups73079841787564623at_rat F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_qu F) A B) tptp.one_one_rat))))
% 19.00/19.18  (assume a7439 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B tptp.nat)) (= (tptp.groups705719431365010083at_int F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_qv F) A) B) tptp.one_one_int))))
% 19.00/19.18  (assume a7440 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_qw F) A) B) tptp.one_one_nat))))
% 19.00/19.18  (assume a7441 (forall ((C tptp.complex) (F tptp.fun_nat_complex) (D tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qx C) F)) (tptp.aa_complex_complex (tptp.times_times_complex C) D))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) D))))))
% 19.00/19.18  (assume a7442 (forall ((C tptp.real) (F tptp.fun_nat_real) (D tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qy C) F)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) D))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) D))))))
% 19.00/19.18  (assume a7443 (forall ((C tptp.complex) (F tptp.fun_nat_complex) (D tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qz C) F)) (tptp.aa_complex_complex (tptp.times_times_complex D) C))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) D))))))
% 19.00/19.18  (assume a7444 (forall ((C tptp.real) (F tptp.fun_nat_real) (D tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ra C) F)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real D) C))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) D))))))
% 19.00/19.18  (assume a7445 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) tptp.zero_zero_real))))
% 19.00/19.18  (assume a7446 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.pi)))
% 19.00/19.18  (assume a7447 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (= (tptp.groups127312072573709053omplex G (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) (tptp.groups127312072573709053omplex (tptp.aa_fun6792494735270171281omplex (tptp.aTP_Lamm_rb G) P) A2)))))
% 19.00/19.18  (assume a7448 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups713298508707869441omplex G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) (tptp.groups713298508707869441omplex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_rc G) P) A2)))))
% 19.00/19.18  (assume a7449 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_complex) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups6464643781859351333omplex G (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf A2) P))) (tptp.groups6464643781859351333omplex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_rd G) P) A2)))))
% 19.00/19.18  (assume a7450 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups7440179247065528705omplex G (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg A2) P))) (tptp.groups7440179247065528705omplex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_re G) P) A2)))))
% 19.00/19.18  (assume a7451 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_complex) (P tptp.fun_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups3708469109370488835omplex G (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_kc A2) P))) (tptp.groups3708469109370488835omplex (tptp.aa_fun1034237174562290143omplex (tptp.aTP_Lamm_rf G) P) A2)))))
% 19.00/19.18  (assume a7452 (forall ((A2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (= (tptp.groups2703838992350267259T_real G (tptp.collect_VEBT_VEBT (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb A2) P))) (tptp.groups2703838992350267259T_real (tptp.aa_fun2072160908118572431T_real (tptp.aTP_Lamm_rg G) P) A2)))))
% 19.00/19.18  (assume a7453 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1681761925125756287l_real G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc A2) P))) (tptp.groups1681761925125756287l_real (tptp.aa_fun6348708079608492509l_real (tptp.aTP_Lamm_rh G) P) A2)))))
% 19.00/19.18  (assume a7454 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf A2) P))) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1750223370215434333t_real (tptp.aTP_Lamm_ri G) P)) A2)))))
% 19.00/19.18  (assume a7455 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups2316167850115554303t_real G (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg A2) P))) (tptp.groups2316167850115554303t_real (tptp.aa_fun6974987029372589917t_real (tptp.aTP_Lamm_rj G) P) A2)))))
% 19.00/19.18  (assume a7456 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (P tptp.fun_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups766887009212190081x_real G (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_kc A2) P))) (tptp.groups766887009212190081x_real (tptp.aa_fun2902006202505214429x_real (tptp.aTP_Lamm_rk G) P) A2)))))
% 19.00/19.18  (assume a7457 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_lg G) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a7458 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a7459 (forall ((G tptp.fun_nat_int) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (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_rl G) K) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a7460 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_kn G) K)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.18  (assume a7461 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X4)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2)) tptp.one_one_real)))))
% 19.00/19.18  (assume a7462 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_VEBT_VEBT_real F X4)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2703838992350267259T_real F A2)) tptp.one_one_real)))))
% 19.00/19.18  (assume a7463 (forall ((A2 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X4)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A2)) tptp.one_one_real)))))
% 19.00/19.18  (assume a7464 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (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 X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X4)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A2)) tptp.one_one_real)))))
% 19.00/19.18  (assume a7465 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (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 X4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X4)) 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 A2)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a7466 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F X4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_VEBT_VEBT_rat F X4)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5726676334696518183BT_rat F A2)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a7467 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (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 X4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X4)) 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 A2)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a7468 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (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 X4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F X4)) 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 A2)) tptp.one_one_rat)))))
% 19.00/19.18  (assume a7469 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) A2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_VEBT_VEBT_nat F X4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_VEBT_VEBT_nat F X4)) tptp.one_one_nat))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups6361806394783013919BT_nat F A2)) tptp.one_one_nat)))))
% 19.00/19.18  (assume a7470 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_int_nat F X4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F X4)) tptp.one_one_nat))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1707563613775114915nt_nat F A2)) tptp.one_one_nat)))))
% 19.00/19.18  (assume a7471 (forall ((R tptp.fun_co1378794544173401837x_bool) (S2 tptp.set_nat) (H tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.one_one_complex) tptp.one_one_complex)) (=> (forall ((X1 tptp.complex) (Y1 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X1) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y1) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.times_times_complex X1) Y1)) (tptp.aa_complex_complex (tptp.times_times_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_nat_complex H X4)) (tptp.aa_nat_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups6464643781859351333omplex H S2)) (tptp.groups6464643781859351333omplex G S2)))))))))
% 19.00/19.18  (assume a7472 (forall ((R tptp.fun_co1378794544173401837x_bool) (S2 tptp.set_int) (H tptp.fun_int_complex) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.one_one_complex) tptp.one_one_complex)) (=> (forall ((X1 tptp.complex) (Y1 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X1) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y1) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.times_times_complex X1) Y1)) (tptp.aa_complex_complex (tptp.times_times_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_int_complex H X4)) (tptp.aa_int_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups7440179247065528705omplex H S2)) (tptp.groups7440179247065528705omplex G S2)))))))))
% 19.00/19.18  (assume a7473 (forall ((R tptp.fun_co1378794544173401837x_bool) (S2 tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.one_one_complex) tptp.one_one_complex)) (=> (forall ((X1 tptp.complex) (Y1 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X1) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y1) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.times_times_complex X1) Y1)) (tptp.aa_complex_complex (tptp.times_times_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex H X4)) (tptp.aa_complex_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups3708469109370488835omplex H S2)) (tptp.groups3708469109370488835omplex G S2)))))))))
% 19.00/19.18  (assume a7474 (forall ((R tptp.fun_re1255401033344146673l_bool) (S2 tptp.set_nat) (H tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.one_one_real) tptp.one_one_real)) (=> (forall ((X1 tptp.real) (Y1 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X1) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y1) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X1) Y1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_nat_real H X4)) (tptp.aa_nat_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real H) S2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) S2)))))))))
% 19.00/19.18  (assume a7475 (forall ((R tptp.fun_re1255401033344146673l_bool) (S2 tptp.set_int) (H tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.one_one_real) tptp.one_one_real)) (=> (forall ((X1 tptp.real) (Y1 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X1) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y1) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X1) Y1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_int_real H X4)) (tptp.aa_int_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups2316167850115554303t_real H S2)) (tptp.groups2316167850115554303t_real G S2)))))))))
% 19.00/19.18  (assume a7476 (forall ((R tptp.fun_re1255401033344146673l_bool) (S2 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.one_one_real) tptp.one_one_real)) (=> (forall ((X1 tptp.real) (Y1 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X1) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y1) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X1) Y1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_complex_real H X4)) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups766887009212190081x_real H S2)) (tptp.groups766887009212190081x_real G S2)))))))))
% 19.00/19.18  (assume a7477 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_nat) (H tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.one_one_rat) tptp.one_one_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.times_times_rat X1) Y1)) (tptp.aa_rat_rat (tptp.times_times_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_nat_rat H X4)) (tptp.aa_nat_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups73079841787564623at_rat H S2)) (tptp.groups73079841787564623at_rat G S2)))))))))
% 19.00/19.18  (assume a7478 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_int) (H tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.one_one_rat) tptp.one_one_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.times_times_rat X1) Y1)) (tptp.aa_rat_rat (tptp.times_times_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_int_rat H X4)) (tptp.aa_int_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups1072433553688619179nt_rat H S2)) (tptp.groups1072433553688619179nt_rat G S2)))))))))
% 19.00/19.18  (assume a7479 (forall ((R tptp.fun_rat_fun_rat_bool) (S2 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.one_one_rat) tptp.one_one_rat)) (=> (forall ((X1 tptp.rat) (Y1 tptp.rat) (X23 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X1) X23)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y1) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.times_times_rat X1) Y1)) (tptp.aa_rat_rat (tptp.times_times_rat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_complex_rat H X4)) (tptp.aa_complex_rat G X4))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups225925009352817453ex_rat H S2)) (tptp.groups225925009352817453ex_rat G S2)))))))))
% 19.00/19.18  (assume a7480 (forall ((R tptp.fun_nat_fun_nat_bool) (S2 tptp.set_int) (H tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R tptp.one_one_nat) tptp.one_one_nat)) (=> (forall ((X1 tptp.nat) (Y1 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X1) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y1) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X1) Y1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_int_nat H X4)) (tptp.aa_int_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.groups1707563613775114915nt_nat H S2)) (tptp.groups1707563613775114915nt_nat G S2)))))))))
% 19.00/19.18  (assume a7481 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups2703838992350267259T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.groups2703838992350267259T_real G A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups2703838992350267259T_real G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2703838992350267259T_real G A2))))))))
% 19.00/19.18  (assume a7482 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X2 A2)) (tptp.groups1681761925125756287l_real G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X2)) (tptp.groups1681761925125756287l_real G A2))))))))
% 19.00/19.18  (assume a7483 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.insert_nat X2 A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.insert_nat X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2))))))))
% 19.00/19.18  (assume a7484 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X2 A2)) (tptp.groups2316167850115554303t_real G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X2)) (tptp.groups2316167850115554303t_real G A2))))))))
% 19.00/19.18  (assume a7485 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X2 A2)) (tptp.groups766887009212190081x_real G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X2)) (tptp.groups766887009212190081x_real G A2))))))))
% 19.00/19.18  (assume a7486 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups5726676334696518183BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.groups5726676334696518183BT_rat G A2))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2))) (= (tptp.groups5726676334696518183BT_rat G (tptp.insert_VEBT_VEBT X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups5726676334696518183BT_rat G A2))))))))
% 19.00/19.18  (assume a7487 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X2 A2)) (tptp.groups4061424788464935467al_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2))) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_real_rat G X2)) (tptp.groups4061424788464935467al_rat G A2))))))))
% 19.00/19.18  (assume a7488 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X2 A2)) (tptp.groups73079841787564623at_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2))) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G X2)) (tptp.groups73079841787564623at_rat G A2))))))))
% 19.00/19.18  (assume a7489 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X2 A2)) (tptp.groups1072433553688619179nt_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2))) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat G X2)) (tptp.groups1072433553688619179nt_rat G A2))))))))
% 19.00/19.18  (assume a7490 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X2 A2)) (tptp.groups225925009352817453ex_rat G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2))) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_complex_rat G X2)) (tptp.groups225925009352817453ex_rat G A2))))))))
% 19.00/19.18  (assume a7491 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups861055069439313189ex_nat F A2)) (tptp.groups861055069439313189ex_nat F B2)))))))
% 19.00/19.18  (assume a7492 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups858564598930262913ex_int F A2)) (tptp.groups858564598930262913ex_int F B2)))))))
% 19.00/19.18  (assume a7493 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1707563613775114915nt_nat F B2)))))))
% 19.00/19.18  (assume a7494 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups705719431365010083at_int F A2)) (tptp.groups705719431365010083at_int F B2)))))))
% 19.00/19.18  (assume a7495 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups1705073143266064639nt_int F B2)))))))
% 19.00/19.18  (assume a7496 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) B2)))))))
% 19.00/19.18  (assume a7497 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_VEBT_VEBT_nat F A3)) (tptp.aa_VEBT_VEBT_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups6361806394783013919BT_nat F A2)) (tptp.groups6361806394783013919BT_nat G B2))))))))
% 19.00/19.18  (assume a7498 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_real_nat F A3)) (tptp.aa_real_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups4696554848551431203al_nat F A2)) (tptp.groups4696554848551431203al_nat G B2))))))))
% 19.00/19.18  (assume a7499 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_complex_nat F A3)) (tptp.aa_complex_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups861055069439313189ex_nat F A2)) (tptp.groups861055069439313189ex_nat G B2))))))))
% 19.00/19.18  (assume a7500 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_int) (G tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_VEBT_VEBT_int F A3)) (tptp.aa_VEBT_VEBT_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups6359315924273963643BT_int F A2)) (tptp.groups6359315924273963643BT_int G B2))))))))
% 19.00/19.18  (assume a7501 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_int) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_real_int F A3)) (tptp.aa_real_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups4694064378042380927al_int F A2)) (tptp.groups4694064378042380927al_int G B2))))))))
% 19.00/19.18  (assume a7502 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_complex_int F A3)) (tptp.aa_complex_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups858564598930262913ex_int F A2)) (tptp.groups858564598930262913ex_int G B2))))))))
% 19.00/19.18  (assume a7503 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_int_nat F A3)) (tptp.aa_int_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1707563613775114915nt_nat G B2))))))))
% 19.00/19.18  (assume a7504 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int F A3)) (tptp.aa_nat_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups705719431365010083at_int F A2)) (tptp.groups705719431365010083at_int G B2))))))))
% 19.00/19.18  (assume a7505 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int F A3)) (tptp.aa_int_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups1705073143266064639nt_int G B2))))))))
% 19.00/19.18  (assume a7506 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat F A3)) (tptp.aa_nat_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) B2))))))))
% 19.00/19.18  (assume a7507 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_VE3165209603783583043T_VEBT) (J tptp.fun_VE3165209603783583043T_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_VEB5832953974749077948T_VEBT I (tptp.aa_VEB5832953974749077948T_VEBT J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_VEB5832953974749077948T_VEBT J (tptp.aa_VEB5832953974749077948T_VEBT I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_VEB5832953974749077948T_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_VEB5832953974749077948T_VEBT J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups127312072573709053omplex G S2) (tptp.groups127312072573709053omplex H T3)))))))))))))
% 19.00/19.18  (assume a7508 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_real) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_real_VEBT_VEBT) (J tptp.fun_VEBT_VEBT_real) (T3 tptp.set_real) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_real_VEBT_VEBT I (tptp.aa_VEBT_VEBT_real J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_VEBT_VEBT_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_VEBT_VEBT_real J (tptp.aa_real_VEBT_VEBT I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_real_VEBT_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_VEBT_VEBT_real J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups127312072573709053omplex G S2) (tptp.groups713298508707869441omplex H T3)))))))))))))
% 19.00/19.18  (assume a7509 (forall ((S4 tptp.set_real) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_real) (I tptp.fun_VEBT_VEBT_real) (J tptp.fun_real_VEBT_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_real_complex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_VEBT_VEBT_real I (tptp.aa_real_VEBT_VEBT J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_real_VEBT_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_real_VEBT_VEBT J (tptp.aa_VEBT_VEBT_real I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_VEBT_VEBT_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_real_VEBT_VEBT J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups713298508707869441omplex G S2) (tptp.groups127312072573709053omplex H T3)))))))))))))
% 19.00/19.18  (assume a7510 (forall ((S4 tptp.set_real) (T4 tptp.set_real) (S2 tptp.set_real) (I tptp.fun_real_real) (J tptp.fun_real_real) (T3 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_real_real I (tptp.aa_real_real J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_real_real J (tptp.aa_real_real I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_real_real J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups713298508707869441omplex G S2) (tptp.groups713298508707869441omplex H T3)))))))))))))
% 19.00/19.18  (assume a7511 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_int) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_int_VEBT_VEBT) (J tptp.fun_VEBT_VEBT_int) (T3 tptp.set_int) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_int_VEBT_VEBT I (tptp.aa_VEBT_VEBT_int J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_VEBT_VEBT_int J A3)) (tptp.minus_minus_set_int T3 T4))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (= (tptp.aa_VEBT_VEBT_int J (tptp.aa_int_VEBT_VEBT I B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_int_VEBT_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T4)) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_int_complex H (tptp.aa_VEBT_VEBT_int J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups127312072573709053omplex G S2) (tptp.groups7440179247065528705omplex H T3)))))))))))))
% 19.00/19.18  (assume a7512 (forall ((S4 tptp.set_real) (T4 tptp.set_int) (S2 tptp.set_real) (I tptp.fun_int_real) (J tptp.fun_real_int) (T3 tptp.set_int) (G tptp.fun_real_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_int_real I (tptp.aa_real_int J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int J A3)) (tptp.minus_minus_set_int T3 T4))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (= (tptp.aa_real_int J (tptp.aa_int_real I B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T4)) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_int_complex H (tptp.aa_real_int J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups713298508707869441omplex G S2) (tptp.groups7440179247065528705omplex H T3)))))))))))))
% 19.00/19.18  (assume a7513 (forall ((S4 tptp.set_VEBT_VEBT) (T4 tptp.set_complex) (S2 tptp.set_VEBT_VEBT) (I tptp.fun_co4340422964966740447T_VEBT) (J tptp.fun_VE5569070535936029429omplex) (T3 tptp.set_complex) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (= (tptp.aa_complex_VEBT_VEBT I (tptp.aa_VEBT_VEBT_complex J A3)) A3))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT S2 S4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_VEBT_VEBT_complex J A3)) (tptp.minus_811609699411566653omplex T3 T4))))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T4))) (= (tptp.aa_VEBT_VEBT_complex J (tptp.aa_complex_VEBT_VEBT I B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_complex_VEBT_VEBT I B3)) (tptp.minus_5127226145743854075T_VEBT S2 S4))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S4)) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T4)) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) S2)) (= (tptp.aa_complex_complex H (tptp.aa_VEBT_VEBT_complex J A3)) (tptp.aa_VEBT_VEBT_complex G A3)))) (= (tptp.groups127312072573709053omplex G S2) (tptp.groups3708469109370488835omplex H T3)))))))))))))
% 19.00/19.18  (assume a7514 (forall ((S4 tptp.set_real) (T4 tptp.set_complex) (S2 tptp.set_real) (I tptp.fun_complex_real) (J tptp.fun_real_complex) (T3 tptp.set_complex) (G tptp.fun_real_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (= (tptp.aa_complex_real I (tptp.aa_real_complex J A3)) A3))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S2 S4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_real_complex J A3)) (tptp.minus_811609699411566653omplex T3 T4))))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T4))) (= (tptp.aa_real_complex J (tptp.aa_complex_real I B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_complex_real I B3)) (tptp.minus_minus_set_real S2 S4))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S4)) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T4)) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S2)) (= (tptp.aa_complex_complex H (tptp.aa_real_complex J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups713298508707869441omplex G S2) (tptp.groups3708469109370488835omplex H T3)))))))))))))
% 19.00/19.18  (assume a7515 (forall ((S4 tptp.set_int) (T4 tptp.set_VEBT_VEBT) (S2 tptp.set_int) (I tptp.fun_VEBT_VEBT_int) (J tptp.fun_int_VEBT_VEBT) (T3 tptp.set_VEBT_VEBT) (G tptp.fun_int_complex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (= (tptp.aa_VEBT_VEBT_int I (tptp.aa_int_VEBT_VEBT J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.aa_int_VEBT_VEBT J A3)) (tptp.minus_5127226145743854075T_VEBT T3 T4))))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (= (tptp.aa_int_VEBT_VEBT J (tptp.aa_VEBT_VEBT_int I B3)) B3))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT T3 T4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_VEBT_VEBT_int I B3)) (tptp.minus_minus_set_int S2 S4))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S4)) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) T4)) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S2)) (= (tptp.aa_VEBT_VEBT_complex H (tptp.aa_int_VEBT_VEBT J A3)) (tptp.aa_int_complex G A3)))) (= (tptp.groups7440179247065528705omplex G S2) (tptp.groups127312072573709053omplex H T3)))))))))))))
% 19.00/19.18  (assume a7516 (forall ((S4 tptp.set_int) (T4 tptp.set_real) (S2 tptp.set_int) (I tptp.fun_real_int) (J tptp.fun_int_real) (T3 tptp.set_real) (G tptp.fun_int_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (= (tptp.aa_real_int I (tptp.aa_int_real J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S2 S4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real J A3)) (tptp.minus_minus_set_real T3 T4))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (= (tptp.aa_int_real J (tptp.aa_real_int I B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int I B3)) (tptp.minus_minus_set_int S2 S4))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S4)) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T4)) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S2)) (= (tptp.aa_real_complex H (tptp.aa_int_real J A3)) (tptp.aa_int_complex G A3)))) (= (tptp.groups7440179247065528705omplex G S2) (tptp.groups713298508707869441omplex H T3)))))))))))))
% 19.00/19.18  (assume a7517 (forall ((C tptp.complex) (F tptp.fun_nat_complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qx C) F)) A)) (=> (not (= C tptp.zero_zero_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)))))))
% 19.00/19.18  (assume a7518 (forall ((C tptp.real) (F tptp.fun_nat_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qy C) F)) A)) (=> (not (= C tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)))))))
% 19.00/19.18  (assume a7519 (forall ((F tptp.fun_nat_complex) (S tptp.complex)) (=> (= (tptp.aa_nat_complex F tptp.zero_zero_nat) tptp.zero_zero_complex) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_rm F)) S)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S))))))
% 19.00/19.18  (assume a7520 (forall ((F tptp.fun_nat_real) (S tptp.real)) (=> (= (tptp.aa_nat_real F tptp.zero_zero_nat) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_km F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S))))))
% 19.00/19.18  (assume a7521 (forall ((F tptp.fun_nat_real) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_km F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S) (tptp.aa_nat_real F tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a7522 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_km F)) L)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real L) (tptp.aa_nat_real F tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a7523 (forall ((F tptp.fun_nat_nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aTP_Lamm_kl F)) L)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat L) (tptp.aa_nat_nat F tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a7524 (forall ((F tptp.fun_nat_int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aTP_Lamm_lg F)) L)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int L) (tptp.aa_nat_int F tptp.zero_zero_nat)))))))
% 19.00/19.18  (assume a7525 (forall ((Y tptp.int) (Z tptp.int) (X2 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 X2) Y)) Z))))))
% 19.00/19.18  (assume a7526 (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))))))
% 19.00/19.18  (assume a7527 (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)))))
% 19.00/19.18  (assume a7528 (forall ((N tptp.nat) (F tptp.fun_nat_complex) (S tptp.complex)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (= (tptp.aa_nat_complex F I3) tptp.zero_zero_complex))) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rn N) F)) S)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S))))))
% 19.00/19.18  (assume a7529 (forall ((N tptp.nat) (F tptp.fun_nat_real) (S tptp.real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (= (tptp.aa_nat_real F I3) tptp.zero_zero_real))) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ro N) F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S))))))
% 19.00/19.18  (assume a7530 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_complex F N2) tptp.zero_zero_complex))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) (tptp.groups2073611262835488442omplex F N4)))))))
% 19.00/19.18  (assume a7531 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_int F N2) tptp.zero_zero_int))) (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) (tptp.groups3539618377306564664at_int F N4)))))))
% 19.00/19.18  (assume a7532 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_nat F N2) tptp.zero_zero_nat))) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) N4)))))))
% 19.00/19.18  (assume a7533 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_real F N2) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) N4)))))))
% 19.00/19.18  (assume a7534 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rp P) F)) (tptp.groups2073611262835488442omplex F (tptp.collect_nat P)))))))
% 19.00/19.18  (assume a7535 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_rq P) F)) (tptp.groups3539618377306564664at_int F (tptp.collect_nat P)))))))
% 19.00/19.18  (assume a7536 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rr P) F)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.collect_nat P)))))))
% 19.00/19.18  (assume a7537 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rs P) F)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.collect_nat P)))))))
% 19.00/19.18  (assume a7538 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rt A2) F)) (tptp.groups2073611262835488442omplex F A2))))))
% 19.00/19.18  (assume a7539 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ru A2) F)) (tptp.groups3539618377306564664at_int F A2))))))
% 19.00/19.18  (assume a7540 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rv A2) F)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2))))))
% 19.00/19.18  (assume a7541 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rw A2) F)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) A2))))))
% 19.00/19.18  (assume a7542 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups713298508707869441omplex G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_rx G)))) (tptp.groups713298508707869441omplex G A2)))))
% 19.00/19.18  (assume a7543 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups7440179247065528705omplex G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_ry G)))) (tptp.groups7440179247065528705omplex G A2)))))
% 19.00/19.18  (assume a7544 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups3708469109370488835omplex G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_rz G)))) (tptp.groups3708469109370488835omplex G A2)))))
% 19.00/19.18  (assume a7545 (forall ((A2 tptp.set_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_sa G)))) (tptp.groups1681761925125756287l_real G A2)))))
% 19.00/19.18  (assume a7546 (forall ((A2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_sb G)))) (tptp.groups2316167850115554303t_real G A2)))))
% 19.00/19.18  (assume a7547 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_sc G)))) (tptp.groups766887009212190081x_real G A2)))))
% 19.00/19.18  (assume a7548 (forall ((A2 tptp.set_real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4061424788464935467al_rat G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_sd G)))) (tptp.groups4061424788464935467al_rat G A2)))))
% 19.00/19.18  (assume a7549 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A2 (tptp.collect_int (tptp.aTP_Lamm_se G)))) (tptp.groups1072433553688619179nt_rat G A2)))))
% 19.00/19.18  (assume a7550 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_sf G)))) (tptp.groups225925009352817453ex_rat G A2)))))
% 19.00/19.18  (assume a7551 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4696554848551431203al_nat G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_sg G)))) (tptp.groups4696554848551431203al_nat G A2)))))
% 19.00/19.18  (assume a7552 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sh G) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7553 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ng G) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.18  (assume a7554 (forall ((G tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.set_or1269000886237332187st_nat N M)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_si G) N) M) (tptp.set_or1269000886237332187st_nat N M)))))
% 19.00/19.18  (assume a7555 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat N M)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ld G) N) M)) (tptp.set_or1269000886237332187st_nat N M)))))
% 19.00/19.18  (assume a7556 (forall ((I6 tptp.set_VEBT_VEBT) (I tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_VEBT_VEBT_real F I))) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_VEBT_VEBT_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2703838992350267259T_real F I6)))))))))
% 19.00/19.18  (assume a7557 (forall ((I6 tptp.set_real) (I tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I6)))))))))
% 19.00/19.18  (assume a7558 (forall ((I6 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) I6)))))))))
% 19.00/19.18  (assume a7559 (forall ((I6 tptp.set_int) (I tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I6)))))))))
% 19.00/19.18  (assume a7560 (forall ((I6 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I6)))))))))
% 19.00/19.19  (assume a7561 (forall ((I6 tptp.set_VEBT_VEBT) (I tptp.vEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_VEBT_VEBT_rat F I))) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups5726676334696518183BT_rat F I6)))))))))
% 19.00/19.19  (assume a7562 (forall ((I6 tptp.set_real) (I tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_real_rat F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (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 I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F I6)))))))))
% 19.00/19.19  (assume a7563 (forall ((I6 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (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 I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F I6)))))))))
% 19.00/19.19  (assume a7564 (forall ((I6 tptp.set_int) (I tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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 I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F I6)))))))))
% 19.00/19.19  (assume a7565 (forall ((I6 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I6)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_complex_rat F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (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 I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F I6)))))))))
% 19.00/19.19  (assume a7566 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (not (= I6 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_VEBT_VEBT_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2703838992350267259T_real F I6))))))))
% 19.00/19.19  (assume a7567 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I6))))))))
% 19.00/19.19  (assume a7568 (forall ((I6 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I6))))))))
% 19.00/19.19  (assume a7569 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) I6))))))))
% 19.00/19.19  (assume a7570 (forall ((I6 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I6))))))))
% 19.00/19.19  (assume a7571 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (not (= I6 tptp.bot_bo8194388402131092736T_VEBT)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_VEBT_VEBT_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups5726676334696518183BT_rat F I6))))))))
% 19.00/19.19  (assume a7572 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_complex_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F I6))))))))
% 19.00/19.19  (assume a7573 (forall ((I6 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_real_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F I6))))))))
% 19.00/19.19  (assume a7574 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F I6))))))))
% 19.00/19.19  (assume a7575 (forall ((I6 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F I6))))))))
% 19.00/19.19  (assume a7576 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups766887009212190081x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups766887009212190081x_real G B2)))))))
% 19.00/19.19  (assume a7577 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.minus_minus_set_nat A2 B2))) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) B2)))))))
% 19.00/19.19  (assume a7578 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups225925009352817453ex_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups225925009352817453ex_rat G B2)))))))
% 19.00/19.19  (assume a7579 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups73079841787564623at_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups73079841787564623at_rat G B2)))))))
% 19.00/19.19  (assume a7580 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups861055069439313189ex_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups861055069439313189ex_nat G B2)))))))
% 19.00/19.19  (assume a7581 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups858564598930262913ex_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups858564598930262913ex_int G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups858564598930262913ex_int G B2)))))))
% 19.00/19.19  (assume a7582 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups2316167850115554303t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 B2))) (tptp.groups2316167850115554303t_real G B2)))))))
% 19.00/19.19  (assume a7583 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups1072433553688619179nt_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A2 B2))) (tptp.groups1072433553688619179nt_rat G B2)))))))
% 19.00/19.19  (assume a7584 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B2) A2)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups1707563613775114915nt_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups1707563613775114915nt_nat G (tptp.minus_minus_set_int A2 B2))) (tptp.groups1707563613775114915nt_nat G B2)))))))
% 19.00/19.19  (assume a7585 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups705719431365010083at_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups705719431365010083at_int G B2)))))))
% 19.00/19.19  (assume a7586 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_complex G X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_complex G X4) (tptp.aa_VEBT_VEBT_complex H X4)))) (= (tptp.groups127312072573709053omplex G T3) (tptp.groups127312072573709053omplex H S2))))))))
% 19.00/19.19  (assume a7587 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_complex G X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups713298508707869441omplex G T3) (tptp.groups713298508707869441omplex H S2))))))))
% 19.00/19.19  (assume a7588 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_complex G X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_complex G X4) (tptp.aa_complex_complex H X4)))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex H S2))))))))
% 19.00/19.19  (assume a7589 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_real G X4) tptp.one_one_real))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_real G X4) (tptp.aa_VEBT_VEBT_real H X4)))) (= (tptp.groups2703838992350267259T_real G T3) (tptp.groups2703838992350267259T_real H S2))))))))
% 19.00/19.19  (assume a7590 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_real G X4) tptp.one_one_real))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_real G X4) (tptp.aa_real_real H X4)))) (= (tptp.groups1681761925125756287l_real G T3) (tptp.groups1681761925125756287l_real H S2))))))))
% 19.00/19.19  (assume a7591 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.one_one_real))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real H S2))))))))
% 19.00/19.19  (assume a7592 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_rat G X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_rat G X4) (tptp.aa_VEBT_VEBT_rat H X4)))) (= (tptp.groups5726676334696518183BT_rat G T3) (tptp.groups5726676334696518183BT_rat H S2))))))))
% 19.00/19.19  (assume a7593 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_rat G X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_rat G X4) (tptp.aa_real_rat H X4)))) (= (tptp.groups4061424788464935467al_rat G T3) (tptp.groups4061424788464935467al_rat H S2))))))))
% 19.00/19.19  (assume a7594 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_rat G X4) (tptp.aa_complex_rat H X4)))) (= (tptp.groups225925009352817453ex_rat G T3) (tptp.groups225925009352817453ex_rat H S2))))))))
% 19.00/19.19  (assume a7595 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_nat G X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_nat G X4) (tptp.aa_VEBT_VEBT_nat H X4)))) (= (tptp.groups6361806394783013919BT_nat G T3) (tptp.groups6361806394783013919BT_nat H S2))))))))
% 19.00/19.19  (assume a7596 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VE5569070535936029429omplex) (G tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_complex H X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_complex G X4) (tptp.aa_VEBT_VEBT_complex H X4)))) (= (tptp.groups127312072573709053omplex G S2) (tptp.groups127312072573709053omplex H T3))))))))
% 19.00/19.19  (assume a7597 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_complex) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_complex H X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups713298508707869441omplex G S2) (tptp.groups713298508707869441omplex H T3))))))))
% 19.00/19.19  (assume a7598 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_complex H X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_complex G X4) (tptp.aa_complex_complex H X4)))) (= (tptp.groups3708469109370488835omplex G S2) (tptp.groups3708469109370488835omplex H T3))))))))
% 19.00/19.19  (assume a7599 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_real) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_real H X4) tptp.one_one_real))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_real G X4) (tptp.aa_VEBT_VEBT_real H X4)))) (= (tptp.groups2703838992350267259T_real G S2) (tptp.groups2703838992350267259T_real H T3))))))))
% 19.00/19.19  (assume a7600 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_real H X4) tptp.one_one_real))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_real G X4) (tptp.aa_real_real H X4)))) (= (tptp.groups1681761925125756287l_real G S2) (tptp.groups1681761925125756287l_real H T3))))))))
% 19.00/19.19  (assume a7601 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real H X4) tptp.one_one_real))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups766887009212190081x_real G S2) (tptp.groups766887009212190081x_real H T3))))))))
% 19.00/19.19  (assume a7602 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_rat H X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_rat G X4) (tptp.aa_VEBT_VEBT_rat H X4)))) (= (tptp.groups5726676334696518183BT_rat G S2) (tptp.groups5726676334696518183BT_rat H T3))))))))
% 19.00/19.19  (assume a7603 (forall ((T3 tptp.set_real) (S2 tptp.set_real) (H tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S2) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S2))) (= (tptp.aa_real_rat H X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S2)) (= (tptp.aa_real_rat G X4) (tptp.aa_real_rat H X4)))) (= (tptp.groups4061424788464935467al_rat G S2) (tptp.groups4061424788464935467al_rat H T3))))))))
% 19.00/19.19  (assume a7604 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat H X4) tptp.one_one_rat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S2)) (= (tptp.aa_complex_rat G X4) (tptp.aa_complex_rat H X4)))) (= (tptp.groups225925009352817453ex_rat G S2) (tptp.groups225925009352817453ex_rat H T3))))))))
% 19.00/19.19  (assume a7605 (forall ((T3 tptp.set_VEBT_VEBT) (S2 tptp.set_VEBT_VEBT) (H tptp.fun_VEBT_VEBT_nat) (G tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT T3)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT S2) T3)) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.minus_5127226145743854075T_VEBT T3 S2))) (= (tptp.aa_VEBT_VEBT_nat H X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) S2)) (= (tptp.aa_VEBT_VEBT_nat G X4) (tptp.aa_VEBT_VEBT_nat H X4)))) (= (tptp.groups6361806394783013919BT_nat G S2) (tptp.groups6361806394783013919BT_nat H T3))))))))
% 19.00/19.19  (assume a7606 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_complex G X4) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex G S2)))))))
% 19.00/19.19  (assume a7607 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real G S2)))))))
% 19.00/19.19  (assume a7608 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.one_one_rat))) (= (tptp.groups225925009352817453ex_rat G T3) (tptp.groups225925009352817453ex_rat G S2)))))))
% 19.00/19.19  (assume a7609 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_nat G X4) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G T3) (tptp.groups861055069439313189ex_nat G S2)))))))
% 19.00/19.19  (assume a7610 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_int G X4) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G T3) (tptp.groups858564598930262913ex_int G S2)))))))
% 19.00/19.19  (assume a7611 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_complex G X4) tptp.one_one_complex))) (= (tptp.groups6464643781859351333omplex G T3) (tptp.groups6464643781859351333omplex G S2)))))))
% 19.00/19.19  (assume a7612 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_real G X4) tptp.one_one_real))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) T3) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) S2)))))))
% 19.00/19.19  (assume a7613 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_rat G X4) tptp.one_one_rat))) (= (tptp.groups73079841787564623at_rat G T3) (tptp.groups73079841787564623at_rat G S2)))))))
% 19.00/19.19  (assume a7614 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_complex G X4) tptp.one_one_complex))) (= (tptp.groups7440179247065528705omplex G T3) (tptp.groups7440179247065528705omplex G S2)))))))
% 19.00/19.19  (assume a7615 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_real G X4) tptp.one_one_real))) (= (tptp.groups2316167850115554303t_real G T3) (tptp.groups2316167850115554303t_real G S2)))))))
% 19.00/19.19  (assume a7616 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_complex G X4) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G S2) (tptp.groups3708469109370488835omplex G T3)))))))
% 19.00/19.19  (assume a7617 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_real G X4) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G S2) (tptp.groups766887009212190081x_real G T3)))))))
% 19.00/19.19  (assume a7618 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_rat G X4) tptp.one_one_rat))) (= (tptp.groups225925009352817453ex_rat G S2) (tptp.groups225925009352817453ex_rat G T3)))))))
% 19.00/19.19  (assume a7619 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_nat G X4) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G S2) (tptp.groups861055069439313189ex_nat G T3)))))))
% 19.00/19.19  (assume a7620 (forall ((T3 tptp.set_complex) (S2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S2) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S2))) (= (tptp.aa_complex_int G X4) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G S2) (tptp.groups858564598930262913ex_int G T3)))))))
% 19.00/19.19  (assume a7621 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_complex G X4) tptp.one_one_complex))) (= (tptp.groups6464643781859351333omplex G S2) (tptp.groups6464643781859351333omplex G T3)))))))
% 19.00/19.19  (assume a7622 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_real G X4) tptp.one_one_real))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) S2) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) T3)))))))
% 19.00/19.19  (assume a7623 (forall ((T3 tptp.set_nat) (S2 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S2))) (= (tptp.aa_nat_rat G X4) tptp.one_one_rat))) (= (tptp.groups73079841787564623at_rat G S2) (tptp.groups73079841787564623at_rat G T3)))))))
% 19.00/19.19  (assume a7624 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_complex G X4) tptp.one_one_complex))) (= (tptp.groups7440179247065528705omplex G S2) (tptp.groups7440179247065528705omplex G T3)))))))
% 19.00/19.19  (assume a7625 (forall ((T3 tptp.set_int) (S2 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S2) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S2))) (= (tptp.aa_int_real G X4) tptp.one_one_real))) (= (tptp.groups2316167850115554303t_real G S2) (tptp.groups2316167850115554303t_real G T3)))))))
% 19.00/19.19  (assume a7626 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups127312072573709053omplex G C4) (tptp.groups127312072573709053omplex H C4)) (= (tptp.groups127312072573709053omplex G A2) (tptp.groups127312072573709053omplex H B2))))))))))
% 19.00/19.19  (assume a7627 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups713298508707869441omplex G C4) (tptp.groups713298508707869441omplex H C4)) (= (tptp.groups713298508707869441omplex G A2) (tptp.groups713298508707869441omplex H B2))))))))))
% 19.00/19.19  (assume a7628 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups3708469109370488835omplex G C4) (tptp.groups3708469109370488835omplex H C4)) (= (tptp.groups3708469109370488835omplex G A2) (tptp.groups3708469109370488835omplex H B2))))))))))
% 19.00/19.19  (assume a7629 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_real H B3) tptp.one_one_real))) (=> (= (tptp.groups2703838992350267259T_real G C4) (tptp.groups2703838992350267259T_real H C4)) (= (tptp.groups2703838992350267259T_real G A2) (tptp.groups2703838992350267259T_real H B2))))))))))
% 19.00/19.19  (assume a7630 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_real H B3) tptp.one_one_real))) (=> (= (tptp.groups1681761925125756287l_real G C4) (tptp.groups1681761925125756287l_real H C4)) (= (tptp.groups1681761925125756287l_real G A2) (tptp.groups1681761925125756287l_real H B2))))))))))
% 19.00/19.19  (assume a7631 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_real H B3) tptp.one_one_real))) (=> (= (tptp.groups766887009212190081x_real G C4) (tptp.groups766887009212190081x_real H C4)) (= (tptp.groups766887009212190081x_real G A2) (tptp.groups766887009212190081x_real H B2))))))))))
% 19.00/19.19  (assume a7632 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_rat H B3) tptp.one_one_rat))) (=> (= (tptp.groups5726676334696518183BT_rat G C4) (tptp.groups5726676334696518183BT_rat H C4)) (= (tptp.groups5726676334696518183BT_rat G A2) (tptp.groups5726676334696518183BT_rat H B2))))))))))
% 19.00/19.19  (assume a7633 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_rat H B3) tptp.one_one_rat))) (=> (= (tptp.groups4061424788464935467al_rat G C4) (tptp.groups4061424788464935467al_rat H C4)) (= (tptp.groups4061424788464935467al_rat G A2) (tptp.groups4061424788464935467al_rat H B2))))))))))
% 19.00/19.19  (assume a7634 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_rat H B3) tptp.one_one_rat))) (=> (= (tptp.groups225925009352817453ex_rat G C4) (tptp.groups225925009352817453ex_rat H C4)) (= (tptp.groups225925009352817453ex_rat G A2) (tptp.groups225925009352817453ex_rat H B2))))))))))
% 19.00/19.19  (assume a7635 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_nat H B3) tptp.one_one_nat))) (=> (= (tptp.groups6361806394783013919BT_nat G C4) (tptp.groups6361806394783013919BT_nat H C4)) (= (tptp.groups6361806394783013919BT_nat G A2) (tptp.groups6361806394783013919BT_nat H B2))))))))))
% 19.00/19.19  (assume a7636 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VE5569070535936029429omplex) (H tptp.fun_VE5569070535936029429omplex)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups127312072573709053omplex G A2) (tptp.groups127312072573709053omplex H B2)) (= (tptp.groups127312072573709053omplex G C4) (tptp.groups127312072573709053omplex H C4))))))))))
% 19.00/19.19  (assume a7637 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups713298508707869441omplex G A2) (tptp.groups713298508707869441omplex H B2)) (= (tptp.groups713298508707869441omplex G C4) (tptp.groups713298508707869441omplex H C4))))))))))
% 19.00/19.19  (assume a7638 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups3708469109370488835omplex G A2) (tptp.groups3708469109370488835omplex H B2)) (= (tptp.groups3708469109370488835omplex G C4) (tptp.groups3708469109370488835omplex H C4))))))))))
% 19.00/19.19  (assume a7639 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_real) (H tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_real H B3) tptp.one_one_real))) (= (= (tptp.groups2703838992350267259T_real G A2) (tptp.groups2703838992350267259T_real H B2)) (= (tptp.groups2703838992350267259T_real G C4) (tptp.groups2703838992350267259T_real H C4))))))))))
% 19.00/19.19  (assume a7640 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_real H B3) tptp.one_one_real))) (= (= (tptp.groups1681761925125756287l_real G A2) (tptp.groups1681761925125756287l_real H B2)) (= (tptp.groups1681761925125756287l_real G C4) (tptp.groups1681761925125756287l_real H C4))))))))))
% 19.00/19.19  (assume a7641 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_real H B3) tptp.one_one_real))) (= (= (tptp.groups766887009212190081x_real G A2) (tptp.groups766887009212190081x_real H B2)) (= (tptp.groups766887009212190081x_real G C4) (tptp.groups766887009212190081x_real H C4))))))))))
% 19.00/19.19  (assume a7642 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat) (H tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_rat H B3) tptp.one_one_rat))) (= (= (tptp.groups5726676334696518183BT_rat G A2) (tptp.groups5726676334696518183BT_rat H B2)) (= (tptp.groups5726676334696518183BT_rat G C4) (tptp.groups5726676334696518183BT_rat H C4))))))))))
% 19.00/19.19  (assume a7643 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C4 A2))) (= (tptp.aa_real_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_real_rat H B3) tptp.one_one_rat))) (= (= (tptp.groups4061424788464935467al_rat G A2) (tptp.groups4061424788464935467al_rat H B2)) (= (tptp.groups4061424788464935467al_rat G C4) (tptp.groups4061424788464935467al_rat H C4))))))))))
% 19.00/19.19  (assume a7644 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) C4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) C4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C4 A2))) (= (tptp.aa_complex_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_rat H B3) tptp.one_one_rat))) (= (= (tptp.groups225925009352817453ex_rat G A2) (tptp.groups225925009352817453ex_rat H B2)) (= (tptp.groups225925009352817453ex_rat G C4) (tptp.groups225925009352817453ex_rat H C4))))))))))
% 19.00/19.19  (assume a7645 (forall ((C4 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT) (G tptp.fun_VEBT_VEBT_nat) (H tptp.fun_VEBT_VEBT_nat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) C4)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT B2) C4)) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) (tptp.minus_5127226145743854075T_VEBT C4 A2))) (= (tptp.aa_VEBT_VEBT_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT C4 B2))) (= (tptp.aa_VEBT_VEBT_nat H B3) tptp.one_one_nat))) (= (= (tptp.groups6361806394783013919BT_nat G A2) (tptp.groups6361806394783013919BT_nat H B2)) (= (tptp.groups6361806394783013919BT_nat G C4) (tptp.groups6361806394783013919BT_nat H C4))))))))))
% 19.00/19.19  (assume a7646 (forall ((M tptp.nat) (Z tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_sj M) Z)) (tptp.aa_nat_complex (tptp.power_power_complex Z) M)))))
% 19.00/19.19  (assume a7647 (forall ((M tptp.nat) (Z tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_sk M) Z)) (tptp.aa_nat_real (tptp.power_power_real Z) M)))))
% 19.00/19.19  (assume a7648 (forall ((M tptp.nat) (Z tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sl M) Z)) (tptp.aa_nat_int (tptp.power_power_int Z) M)))))
% 19.00/19.19  (assume a7649 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7650 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7651 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (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.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7652 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7653 (forall ((A tptp.fun_nat_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_gn A)) (tptp.aa_nat_complex A tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a7654 (forall ((A tptp.fun_nat_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_gp A)) (tptp.aa_nat_real A tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a7655 (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7656 (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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7657 (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.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.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7658 (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7659 (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_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.19  (assume a7660 (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.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G M)) (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.19  (assume a7661 (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.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.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.19  (assume a7662 (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_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) N)))))))
% 19.00/19.19  (assume a7663 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) N)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 19.00/19.19  (assume a7664 (forall ((F tptp.fun_nat_real) (S tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real S) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 19.00/19.19  (assume a7665 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real S) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)))))
% 19.00/19.19  (assume a7666 (forall ((G tptp.fun_nat_real) (S2 tptp.real) (A2 tptp.set_nat) (S4 tptp.real) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) S2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (= S4 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S2) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_sm G) F)) A2))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_set1316517696749040435t_real (tptp.aTP_Lamm_sn G) A2) F)) S4)))))))
% 19.00/19.19  (assume a7667 (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))))))
% 19.00/19.19  (assume a7668 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (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.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7669 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7670 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (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.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7671 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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 G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7672 (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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_km G)) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7673 (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.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G M)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_lf G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7674 (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.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_lg G) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7675 (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.set_or1269000886237332187st_nat M N)))))))
% 19.00/19.19  (assume a7676 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7677 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7678 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) A2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_VEBT_VEBT_real F I3)) (tptp.aa_VEBT_VEBT_real G I3)))))) (=> (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2703838992350267259T_real F A2)) (tptp.groups2703838992350267259T_real G A2))))))))
% 19.00/19.19  (assume a7679 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A2)) (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_real (tptp.aa_complex_real F I3)) (tptp.aa_complex_real G I3)))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups766887009212190081x_real F A2)) (tptp.groups766887009212190081x_real G A2))))))))
% 19.00/19.19  (assume a7680 (forall ((A2 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A2)) (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_real (tptp.aa_real_real F I3)) (tptp.aa_real_real G I3)))))) (=> (not (= A2 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups1681761925125756287l_real F A2)) (tptp.groups1681761925125756287l_real G A2))))))))
% 19.00/19.19  (assume a7681 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A2)) (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_real (tptp.aa_nat_real F I3)) (tptp.aa_nat_real G I3)))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2))))))))
% 19.00/19.19  (assume a7682 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A2)) (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_real (tptp.aa_int_real F I3)) (tptp.aa_int_real G I3)))))) (=> (not (= A2 tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2316167850115554303t_real F A2)) (tptp.groups2316167850115554303t_real G A2))))))))
% 19.00/19.19  (assume a7683 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) A2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_VEBT_VEBT_rat F I3)) (tptp.aa_VEBT_VEBT_rat G I3)))))) (=> (not (= A2 tptp.bot_bo8194388402131092736T_VEBT)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5726676334696518183BT_rat F A2)) (tptp.groups5726676334696518183BT_rat G A2))))))))
% 19.00/19.19  (assume a7684 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A2)) (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_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3)))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups225925009352817453ex_rat F A2)) (tptp.groups225925009352817453ex_rat G A2))))))))
% 19.00/19.19  (assume a7685 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A2)) (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_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3)))))) (=> (not (= A2 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups4061424788464935467al_rat F A2)) (tptp.groups4061424788464935467al_rat G A2))))))))
% 19.00/19.19  (assume a7686 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A2)) (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_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3)))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups73079841787564623at_rat F A2)) (tptp.groups73079841787564623at_rat G A2))))))))
% 19.00/19.19  (assume a7687 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A2)) (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_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3)))))) (=> (not (= A2 tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1072433553688619179nt_rat F A2)) (tptp.groups1072433553688619179nt_rat G A2))))))))
% 19.00/19.19  (assume a7688 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (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.groups1707563613775114915nt_nat F A2))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (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 F X3)))))))))
% 19.00/19.19  (assume a7689 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (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.groups861055069439313189ex_nat F A2))) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (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_complex_nat F X3)))))))))
% 19.00/19.19  (assume a7690 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (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.groups858564598930262913ex_int F A2))) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (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_complex_int F X3)))))))))
% 19.00/19.19  (assume a7691 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_Code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (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.groups3455450783089532116nteger F A2))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (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_nat_Code_integer F X3)))))))))
% 19.00/19.19  (assume a7692 (forall ((A2 tptp.set_int) (F tptp.fun_int_Code_integer)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (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.groups3827104343326376752nteger F A2))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (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_int_Code_integer F X3)))))))))
% 19.00/19.19  (assume a7693 (forall ((A2 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (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.groups8682486955453173170nteger F A2))) (exists ((X3 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (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_com4217951221296830281nteger F X3)))))))))
% 19.00/19.19  (assume a7694 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (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.groups705719431365010083at_int F A2))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (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 F X3)))))))))
% 19.00/19.19  (assume a7695 (forall ((A2 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (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.groups1705073143266064639nt_int F A2))) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (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 F X3)))))))))
% 19.00/19.19  (assume a7696 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (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.groups708209901874060359at_nat F) A2))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (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 F X3)))))))))
% 19.00/19.19  (assume a7697 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X2)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.19  (assume a7698 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X2)) (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.19  (assume a7699 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X2)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))))))))
% 19.00/19.19  (assume a7700 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.insert_nat X2 A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))))))))
% 19.00/19.19  (assume a7701 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_rat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_complex_rat G X2)) (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.19  (assume a7702 (forall ((A2 tptp.set_real) (G tptp.fun_real_rat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_real_rat G X2)) (tptp.groups4061424788464935467al_rat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.19  (assume a7703 (forall ((A2 tptp.set_int) (G tptp.fun_int_rat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat G X2)) (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int))))))))
% 19.00/19.19  (assume a7704 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_rat) (X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X2 A2)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G X2)) (tptp.groups73079841787564623at_rat G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat))))))))
% 19.00/19.19  (assume a7705 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups861055069439313189ex_nat G (tptp.insert_complex X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_complex_nat G X2)) (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex))))))))
% 19.00/19.19  (assume a7706 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4696554848551431203al_nat G (tptp.insert_real X2 A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_real_nat G X2)) (tptp.groups4696554848551431203al_nat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real))))))))
% 19.00/19.19  (assume a7707 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups2703838992350267259T_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real G X2)) (tptp.groups2703838992350267259T_real G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.19  (assume a7708 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups766887009212190081x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X2)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.19  (assume a7709 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups1681761925125756287l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X2)) (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real)))))))))
% 19.00/19.19  (assume a7710 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups2316167850115554303t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X2)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int)))))))))
% 19.00/19.19  (assume a7711 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))))))
% 19.00/19.19  (assume a7712 (forall ((A2 tptp.set_VEBT_VEBT) (X2 tptp.vEBT_VEBT) (G tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) A2)) (= (tptp.groups5726676334696518183BT_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_VEBT_VEBT_rat G X2)) (tptp.groups5726676334696518183BT_rat G (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT X2 tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.19  (assume a7713 (forall ((A2 tptp.set_complex) (X2 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (= (tptp.groups225925009352817453ex_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_complex_rat G X2)) (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))))))
% 19.00/19.19  (assume a7714 (forall ((A2 tptp.set_real) (X2 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A2)) (= (tptp.groups4061424788464935467al_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_real_rat G X2)) (tptp.groups4061424788464935467al_rat G (tptp.minus_minus_set_real A2 (tptp.insert_real X2 tptp.bot_bot_set_real)))))))))
% 19.00/19.19  (assume a7715 (forall ((A2 tptp.set_int) (X2 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (= (tptp.groups1072433553688619179nt_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat G X2)) (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A2 (tptp.insert_int X2 tptp.bot_bot_set_int)))))))))
% 19.00/19.19  (assume a7716 (forall ((A2 tptp.set_nat) (X2 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (= (tptp.groups73079841787564623at_rat G A2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G X2)) (tptp.groups73079841787564623at_rat G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))))))
% 19.00/19.19  (assume a7717 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P3 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.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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) P3))))))))
% 19.00/19.19  (assume a7718 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat) (P3 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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.set_or1269000886237332187st_nat M N))) (tptp.groups73079841787564623at_rat G (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) P3))))))))
% 19.00/19.19  (assume a7719 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P3 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.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.set_or1269000886237332187st_nat M N))) (tptp.groups705719431365010083at_int G (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) P3))))))))
% 19.00/19.19  (assume a7720 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P3 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.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.set_or1269000886237332187st_nat M N))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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) P3))))))))
% 19.00/19.19  (assume a7721 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_real) (C tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aa_fun910392650362481850T_real (tptp.aTP_Lamm_jl A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real B A)) (tptp.groups2703838992350267259T_real C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups2703838992350267259T_real (tptp.aa_fun1825138017709814396T_real (tptp.aa_fun910392650362481850T_real (tptp.aTP_Lamm_jl A) B) C) S2) (tptp.groups2703838992350267259T_real C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.19  (assume a7722 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real) (C tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jm A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real B A)) (tptp.groups766887009212190081x_real C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jm A) B) C) S2) (tptp.groups766887009212190081x_real C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.19  (assume a7723 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_real) (C tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_jt A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real B A)) (tptp.groups1681761925125756287l_real C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_jt A) B) C) S2) (tptp.groups1681761925125756287l_real C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 19.00/19.19  (assume a7724 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_real) (C tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_so A) B) C) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real B A)) (tptp.groups2316167850115554303t_real C (tptp.minus_minus_set_int S2 (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_so A) B) C) S2) (tptp.groups2316167850115554303t_real C (tptp.minus_minus_set_int S2 (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 19.00/19.19  (assume a7725 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_real) (C tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_sp A) B) C)) S2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real B A)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real C) (tptp.minus_minus_set_nat S2 (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_sp A) B) C)) S2) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real C) (tptp.minus_minus_set_nat S2 (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 19.00/19.19  (assume a7726 (forall ((S2 tptp.set_VEBT_VEBT) (A tptp.vEBT_VEBT) (B tptp.fun_VEBT_VEBT_rat) (C tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT S2)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2)) (= (tptp.groups5726676334696518183BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aa_fun2693410532875676774BT_rat (tptp.aTP_Lamm_jn A) B) C) S2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_VEBT_VEBT_rat B A)) (tptp.groups5726676334696518183BT_rat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) S2))) (= (tptp.groups5726676334696518183BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aa_fun2693410532875676774BT_rat (tptp.aTP_Lamm_jn A) B) C) S2) (tptp.groups5726676334696518183BT_rat C (tptp.minus_5127226145743854075T_VEBT S2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT)))))))))
% 19.00/19.19  (assume a7727 (forall ((S2 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_rat) (C tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2)) (= (tptp.groups225925009352817453ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jo A) B) C) S2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_complex_rat B A)) (tptp.groups225925009352817453ex_rat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S2))) (= (tptp.groups225925009352817453ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jo A) B) C) S2) (tptp.groups225925009352817453ex_rat C (tptp.minus_811609699411566653omplex S2 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 19.00/19.19  (assume a7728 (forall ((S2 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat) (C tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2)) (= (tptp.groups4061424788464935467al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_ju A) B) C) S2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_real_rat B A)) (tptp.groups4061424788464935467al_rat C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S2))) (= (tptp.groups4061424788464935467al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_ju A) B) C) S2) (tptp.groups4061424788464935467al_rat C (tptp.minus_minus_set_real S2 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 19.00/19.19  (assume a7729 (forall ((S2 tptp.set_int) (A tptp.int) (B tptp.fun_int_rat) (C tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2)) (= (tptp.groups1072433553688619179nt_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_sq A) B) C) S2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat B A)) (tptp.groups1072433553688619179nt_rat C (tptp.minus_minus_set_int S2 (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S2))) (= (tptp.groups1072433553688619179nt_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_sq A) B) C) S2) (tptp.groups1072433553688619179nt_rat C (tptp.minus_minus_set_int S2 (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 19.00/19.19  (assume a7730 (forall ((S2 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_rat) (C tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2)) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_sr A) B) C) S2) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat B A)) (tptp.groups73079841787564623at_rat C (tptp.minus_minus_set_nat S2 (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S2))) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_sr A) B) C) S2) (tptp.groups73079841787564623at_rat C (tptp.minus_minus_set_nat S2 (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 19.00/19.19  (assume a7731 (forall ((X2 tptp.fun_nat_fun_nat_nat) (Xa2 tptp.nat) (Xb3 tptp.nat) (Xc tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X2 Xa2) Xb3) Xc) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb3) Xa2)) (= Y Xc)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb3) Xa2))) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Xa2) tptp.one_one_nat)) Xb3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X2 Xa2) Xc))))))))
% 19.00/19.19  (assume a7732 (forall ((B tptp.nat) (A tptp.nat) (F tptp.fun_nat_fun_nat_nat) (Acc2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B) Acc2) Acc2)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B) Acc2) (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)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) Acc2)))))))
% 19.00/19.19  (assume a7733 (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)))))
% 19.00/19.19  (assume a7734 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_VEBT_VEBT_real F B3))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2703838992350267259T_real F A2)) (tptp.groups2703838992350267259T_real F B2)))))))))
% 19.00/19.19  (assume a7735 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A2)) (tptp.groups1681761925125756287l_real F B2)))))))))
% 19.00/19.19  (assume a7736 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F B3))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A2)) (tptp.groups766887009212190081x_real F B2)))))))))
% 19.00/19.19  (assume a7737 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (forall ((B3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) (tptp.minus_minus_set_nat B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F B3))))) (=> (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) A2)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) B2)))))))))
% 19.00/19.19  (assume a7738 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_VEBT_VEBT_rat F B3))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat F A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5726676334696518183BT_rat F A2)) (tptp.groups5726676334696518183BT_rat F B2)))))))))
% 19.00/19.19  (assume a7739 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (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 B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (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 A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A2)) (tptp.groups4061424788464935467al_rat F B2)))))))))
% 19.00/19.19  (assume a7740 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (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 B3))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (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 A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A2)) (tptp.groups225925009352817453ex_rat F B2)))))))))
% 19.00/19.19  (assume a7741 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) B2)) (=> (forall ((B3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) (tptp.minus_minus_set_nat B2 A2))) (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 B3))))) (=> (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (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 A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups73079841787564623at_rat F A2)) (tptp.groups73079841787564623at_rat F B2)))))))))
% 19.00/19.19  (assume a7742 (forall ((B2 tptp.set_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_int)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT B2)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT A2) B2)) (=> (forall ((B3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT B3) (tptp.minus_5127226145743854075T_VEBT B2 A2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_VEBT_VEBT_int F B3))))) (=> (forall ((A3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_VEBT_VEBT_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups6359315924273963643BT_int F A2)) (tptp.groups6359315924273963643BT_int F B2)))))))))
% 19.00/19.19  (assume a7743 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B2 A2))) (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 F B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (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 F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups4694064378042380927al_int F A2)) (tptp.groups4694064378042380927al_int F B2)))))))))
% 19.00/19.19  (assume a7744 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VE5569070535936029429omplex) (A tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (= (tptp.aa_VEBT_VEBT_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups127312072573709053omplex F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups127312072573709053omplex F A2)) (tptp.aa_VEBT_VEBT_complex F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups127312072573709053omplex F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups127312072573709053omplex F A2))))))))
% 19.00/19.19  (assume a7745 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= (tptp.aa_complex_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups3708469109370488835omplex F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups3708469109370488835omplex F A2)) (tptp.aa_complex_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups3708469109370488835omplex F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups3708469109370488835omplex F A2))))))))
% 19.00/19.19  (assume a7746 (forall ((A2 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_rat) (A tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT A2)) (=> (not (= (tptp.aa_VEBT_VEBT_rat F A) tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2)) (= (tptp.groups5726676334696518183BT_rat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups5726676334696518183BT_rat F A2)) (tptp.aa_VEBT_VEBT_rat F A)))) (=> (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT A) A2))) (= (tptp.groups5726676334696518183BT_rat F (tptp.minus_5127226145743854075T_VEBT A2 (tptp.insert_VEBT_VEBT A tptp.bot_bo8194388402131092736T_VEBT))) (tptp.groups5726676334696518183BT_rat F A2))))))))
% 19.00/19.19  (assume a7747 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_rat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= (tptp.aa_complex_rat F A) tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups225925009352817453ex_rat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups225925009352817453ex_rat F A2)) (tptp.aa_complex_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups225925009352817453ex_rat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups225925009352817453ex_rat F A2))))))))
% 19.00/19.19  (assume a7748 (forall ((A2 tptp.set_real) (F tptp.fun_real_complex) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= (tptp.aa_real_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups713298508707869441omplex F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups713298508707869441omplex F A2)) (tptp.aa_real_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups713298508707869441omplex F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups713298508707869441omplex F A2))))))))
% 19.00/19.19  (assume a7749 (forall ((A2 tptp.set_real) (F tptp.fun_real_rat) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= (tptp.aa_real_rat F A) tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups4061424788464935467al_rat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups4061424788464935467al_rat F A2)) (tptp.aa_real_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups4061424788464935467al_rat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups4061424788464935467al_rat F A2))))))))
% 19.00/19.19  (assume a7750 (forall ((A2 tptp.set_int) (F tptp.fun_int_complex) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= (tptp.aa_int_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups7440179247065528705omplex F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups7440179247065528705omplex F A2)) (tptp.aa_int_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups7440179247065528705omplex F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups7440179247065528705omplex F A2))))))))
% 19.00/19.19  (assume a7751 (forall ((A2 tptp.set_int) (F tptp.fun_int_rat) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= (tptp.aa_int_rat F A) tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups1072433553688619179nt_rat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups1072433553688619179nt_rat F A2)) (tptp.aa_int_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups1072433553688619179nt_rat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups1072433553688619179nt_rat F A2))))))))
% 19.00/19.19  (assume a7752 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_complex) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= (tptp.aa_nat_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.groups6464643781859351333omplex F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups6464643781859351333omplex F A2)) (tptp.aa_nat_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))) (= (tptp.groups6464643781859351333omplex F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.groups6464643781859351333omplex F A2))))))))
% 19.00/19.19  (assume a7753 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_rat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= (tptp.aa_nat_rat F A) tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.groups73079841787564623at_rat F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups73079841787564623at_rat F A2)) (tptp.aa_nat_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))) (= (tptp.groups73079841787564623at_rat F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.groups73079841787564623at_rat F A2))))))))
% 19.00/19.19  (assume a7754 (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_ss A) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7755 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_st A)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7756 (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_su A) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7757 (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_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_sv A)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7758 (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))))))
% 19.00/19.19  (assume a7759 (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_sw A) N) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N)))))
% 19.00/19.19  (assume a7760 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sx A) N)) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N)))))
% 19.00/19.19  (assume a7761 (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_sy A) N) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N)))))
% 19.00/19.19  (assume a7762 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sz A) N)) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N)))))
% 19.00/19.19  (assume a7763 (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)))
% 19.00/19.19  (assume a7764 (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.pp (tptp.aa_real_bool (tptp.sums_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)))))))
% 19.00/19.19  (assume a7765 (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.pp (tptp.aa_complex_bool (tptp.sums_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)))))))
% 19.00/19.19  (assume a7766 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (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.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ta G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.19  (assume a7767 (forall ((G tptp.fun_nat_rat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (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_tb G) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.19  (assume a7768 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (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_tc G) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.19  (assume a7769 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_td G)) (tptp.set_or1269000886237332187st_nat M N)))))
% 19.00/19.19  (assume a7770 (forall ((F tptp.fun_nat_complex) (A tptp.nat) (B tptp.nat)) (= (tptp.groups2073611262835488442omplex F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_te F) A B) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a7771 (forall ((F tptp.fun_nat_rat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups2906978787729119204at_rat F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_tf F) A B) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a7772 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B tptp.nat)) (= (tptp.groups3539618377306564664at_int F (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_tg F) A) B) tptp.zero_zero_int))))
% 19.00/19.19  (assume a7773 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_th F) A) B) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a7774 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.set_or1269000886237332187st_nat A B)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_ti F) A) B) tptp.zero_zero_real))))
% 19.00/19.19  (assume a7775 (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_sw A) N) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7776 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sx A) N)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7777 (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_sy A) N) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7778 (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_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sz A) N)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a7779 (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)))
% 19.00/19.19  (assume a7780 (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.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.pp (tptp.aa_set_int_bool (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.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.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.00/19.19  (assume a7781 (forall ((X2 tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X2) Xa2) Y) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int X2 Xa2)) (not (=> (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (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_set_int_bool (tptp.member_int Xa2) (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))) X2))) (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))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) (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_set_int_bool (tptp.member_int Xa2) (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))) X2))) (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))) Xa2))))) (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.divide_divide_int X2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.divide_divide_int Xa2) (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 X2 Xa2)))))))))
% 19.00/19.19  (assume a7782 (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.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)))))))
% 19.00/19.19  (assume a7783 (forall ((X2 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)))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a7784 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((D4 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))) D4)))) (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))) D4)) tptp.one_one_nat))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.suminf_real F)))))))
% 19.00/19.19  (assume a7785 (forall ((N tptp.nat) (A tptp.fun_nat_complex) (X2 tptp.complex) (Y tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_tl N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a7786 (forall ((N tptp.nat) (A tptp.fun_nat_rat) (X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_to N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a7787 (forall ((N tptp.nat) (A tptp.fun_nat_int) (X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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.minus_minus_int X2) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_tr N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a7788 (forall ((N tptp.nat) (A tptp.fun_nat_real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts A) X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts A) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) Y)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_tu N) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a7789 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Y)) (= X2 Y))))
% 19.00/19.19  (assume a7790 (forall ((X2 tptp.int) (Y tptp.int)) (= (= (tptp.set_ord_atMost_int X2) (tptp.set_ord_atMost_int Y)) (= X2 Y))))
% 19.00/19.19  (assume a7791 (forall ((I tptp.set_nat) (K tptp.set_nat)) (= (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat I) (tptp.set_or4236626031148496127et_nat K))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat I) K)))))
% 19.00/19.19  (assume a7792 (forall ((I tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) (tptp.set_ord_atMost_real K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) K)))))
% 19.00/19.19  (assume a7793 (forall ((I tptp.set_int) (K tptp.set_int)) (= (tptp.member_set_int I (tptp.set_or58775011639299419et_int K)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int I) K)))))
% 19.00/19.19  (assume a7794 (forall ((I tptp.rat) (K tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat I) (tptp.set_ord_atMost_rat K))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) K)))))
% 19.00/19.19  (assume a7795 (forall ((I tptp.num) (K tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I) (tptp.set_ord_atMost_num K))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I) K)))))
% 19.00/19.19  (assume a7796 (forall ((I tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) K)))))
% 19.00/19.19  (assume a7797 (forall ((I tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) (tptp.set_ord_atMost_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) K)))))
% 19.00/19.19  (assume a7798 (= (tptp.aa_complex_complex tptp.cot_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.00/19.19  (assume a7799 (= (tptp.aa_real_real tptp.cot_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.19  (assume a7800 (forall ((K tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K)))))
% 19.00/19.19  (assume a7801 (tptp.summable_complex tptp.aTP_Lamm_oi))
% 19.00/19.19  (assume a7802 (tptp.summable_real tptp.aTP_Lamm_fi))
% 19.00/19.19  (assume a7803 (tptp.summable_nat tptp.aTP_Lamm_cb))
% 19.00/19.19  (assume a7804 (tptp.summable_int tptp.aTP_Lamm_oj))
% 19.00/19.19  (assume a7805 (forall ((I tptp.nat) (F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ga I) F))))
% 19.00/19.19  (assume a7806 (forall ((I tptp.nat) (F tptp.fun_nat_real)) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pr I) F))))
% 19.00/19.19  (assume a7807 (forall ((I tptp.nat) (F tptp.fun_nat_nat)) (tptp.summable_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ps I) F))))
% 19.00/19.19  (assume a7808 (forall ((I tptp.nat) (F tptp.fun_nat_int)) (tptp.summable_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pt I) F))))
% 19.00/19.19  (assume a7809 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (= (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) K)) (tptp.summable_real F))))
% 19.00/19.19  (assume a7810 (forall ((X2 tptp.set_int) (Y tptp.set_int)) (= (tptp.ord_le4403425263959731960et_int (tptp.set_or58775011639299419et_int X2) (tptp.set_or58775011639299419et_int Y)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X2) Y)))))
% 19.00/19.19  (assume a7811 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_atMost_rat X2)) (tptp.set_ord_atMost_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)))))
% 19.00/19.19  (assume a7812 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_atMost_num X2)) (tptp.set_ord_atMost_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Y)))))
% 19.00/19.19  (assume a7813 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Y)))))
% 19.00/19.19  (assume a7814 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int X2)) (tptp.set_ord_atMost_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)))))
% 19.00/19.19  (assume a7815 (forall ((C tptp.complex) (F tptp.fun_nat_complex)) (= (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qx C) F)) (or (= C tptp.zero_zero_complex) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7816 (forall ((C tptp.real) (F tptp.fun_nat_real)) (= (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qy C) F)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7817 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (= (tptp.groups1707563613775114915nt_nat F A2) tptp.one_one_nat) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_nat F X3) tptp.one_one_nat)))))))
% 19.00/19.19  (assume a7818 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (= (tptp.groups861055069439313189ex_nat F A2) tptp.one_one_nat) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_nat F X3) tptp.one_one_nat)))))))
% 19.00/19.19  (assume a7819 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2) tptp.one_one_nat) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_nat F X3) tptp.one_one_nat)))))))
% 19.00/19.19  (assume a7820 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tv F) C)) (or (= C tptp.zero_zero_complex) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7821 (forall ((F tptp.fun_nat_real) (C tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_tw F) C)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7822 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rp P) F)))))
% 19.00/19.19  (assume a7823 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rs P) F)))))
% 19.00/19.19  (assume a7824 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.summable_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rr P) F)))))
% 19.00/19.19  (assume a7825 (forall ((P tptp.fun_nat_bool) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat P))) (tptp.summable_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_rq P) F)))))
% 19.00/19.19  (assume a7826 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rt A2) F)))))
% 19.00/19.19  (assume a7827 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rw A2) F)))))
% 19.00/19.19  (assume a7828 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.summable_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rv A2) F)))))
% 19.00/19.19  (assume a7829 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.summable_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ru A2) F)))))
% 19.00/19.19  (assume a7830 (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)))
% 19.00/19.19  (assume a7831 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 19.00/19.19  (assume a7832 (forall ((L tptp.set_int) (H tptp.set_int) (H2 tptp.set_int)) (= (tptp.ord_le4403425263959731960et_int (tptp.set_or370866239135849197et_int L H) (tptp.set_or58775011639299419et_int H2)) (or (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int L) H))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int H) H2))))))
% 19.00/19.19  (assume a7833 (forall ((L tptp.rat) (H tptp.rat) (H2 tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_or633870826150836451st_rat L H)) (tptp.set_ord_atMost_rat H2))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) H))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat H) H2))))))
% 19.00/19.19  (assume a7834 (forall ((L tptp.num) (H tptp.num) (H2 tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_or7049704709247886629st_num L H)) (tptp.set_ord_atMost_num H2))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) H))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num H) H2))))))
% 19.00/19.19  (assume a7835 (forall ((L tptp.nat) (H tptp.nat) (H2 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_or1269000886237332187st_nat L H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat H2))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) H))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat H) H2))))))
% 19.00/19.19  (assume a7836 (forall ((L tptp.int) (H tptp.int) (H2 tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_or1266510415728281911st_int L H)) (tptp.set_ord_atMost_int H2))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) H))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int H) H2))))))
% 19.00/19.19  (assume a7837 (forall ((L tptp.real) (H tptp.real) (H2 tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or1222579329274155063t_real L H)) (tptp.set_ord_atMost_real H2))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) H))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) H2))))))
% 19.00/19.19  (assume a7838 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7839 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7840 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7841 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7842 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7843 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7844 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_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_ord_atMost_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7845 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a7846 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups1707563613775114915nt_nat F A2))) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_int_nat F X3)))))))))
% 19.00/19.19  (assume a7847 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups861055069439313189ex_nat F A2))) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_complex_nat F X3)))))))))
% 19.00/19.19  (assume a7848 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (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)))))))))
% 19.00/19.19  (assume a7849 (= (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)))
% 19.00/19.19  (assume a7850 (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)))
% 19.00/19.19  (assume a7851 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat)))
% 19.00/19.19  (assume a7852 (forall ((C tptp.real)) (= (tptp.summable_real (tptp.power_power_real C)) (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)))))
% 19.00/19.19  (assume a7853 (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)))))
% 19.00/19.19  (assume a7854 (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))))))
% 19.00/19.19  (assume a7855 (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))))))
% 19.00/19.19  (assume a7856 (forall ((F tptp.fun_int_nat) (A2 tptp.set_int)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1705073143266064639nt_int (tptp.aTP_Lamm_lw F) A2))))
% 19.00/19.19  (assume a7857 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A2)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_ly F) A2))))
% 19.00/19.19  (assume a7858 (forall ((H tptp.real)) (not (= tptp.bot_bot_set_real (tptp.set_ord_atMost_real H)))))
% 19.00/19.19  (assume a7859 (forall ((H tptp.nat)) (not (= tptp.bot_bot_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat H)))))
% 19.00/19.19  (assume a7860 (forall ((H tptp.int)) (not (= tptp.bot_bot_set_int (tptp.set_ord_atMost_int H)))))
% 19.00/19.19  (assume a7861 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_ord_atMost_int A))))))
% 19.00/19.19  (assume a7862 (forall ((H2 tptp.int) (L tptp.int) (H tptp.int)) (not (= (tptp.set_ord_atMost_int H2) (tptp.set_or1266510415728281911st_int L H)))))
% 19.00/19.19  (assume a7863 (forall ((H2 tptp.real) (L tptp.real) (H tptp.real)) (not (= (tptp.set_ord_atMost_real H2) (tptp.set_or1222579329274155063t_real L H)))))
% 19.00/19.19  (assume a7864 (forall ((C tptp.complex)) (= (tptp.summable_complex (tptp.aTP_Lamm_tx C)) (= C tptp.zero_zero_complex))))
% 19.00/19.19  (assume a7865 (forall ((C tptp.real)) (= (tptp.summable_real (tptp.aTP_Lamm_ty C)) (= C tptp.zero_zero_real))))
% 19.00/19.19  (assume a7866 (forall ((G tptp.fun_nat_real) (N4 tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.summable_real G) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N4) N2)) (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 F N2))) (tptp.aa_nat_real G N2))))) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7867 (forall ((G tptp.fun_nat_real) (N4 tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.summable_real G) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N4) N2)) (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 F N2))) (tptp.aa_nat_real G N2))))) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7868 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N7 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N2)) (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 F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7869 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N7 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N2)) (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 F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7870 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_hk F) G))))))
% 19.00/19.19  (assume a7871 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (tptp.summable_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_hi F) G))))))
% 19.00/19.19  (assume a7872 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (tptp.summable_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pu F) G))))))
% 19.00/19.19  (assume a7873 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) K)))))
% 19.00/19.19  (assume a7874 (forall ((A tptp.fun_nat_int) (B2 tptp.int)) (=> (forall ((N2 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 A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int A (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B2))) (tptp.summable_int A)))))
% 19.00/19.19  (assume a7875 (forall ((A tptp.fun_nat_nat) (B2 tptp.nat)) (=> (forall ((N2 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 A N2)))) (=> (forall ((N2 tptp.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 A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B2))) (tptp.summable_nat A)))))
% 19.00/19.19  (assume a7876 (forall ((A tptp.fun_nat_real) (B2 tptp.real)) (=> (forall ((N2 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 N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B2))) (tptp.summable_real A)))))
% 19.00/19.19  (assume a7877 (forall ((U tptp.real)) (= (tptp.set_ord_atMost_real U) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_tz U)))))
% 19.00/19.19  (assume a7878 (forall ((U tptp.set_nat)) (= (tptp.set_or4236626031148496127et_nat U) (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_at U)))))
% 19.00/19.19  (assume a7879 (forall ((U tptp.set_int)) (= (tptp.set_or58775011639299419et_int U) (tptp.collect_set_int (tptp.aTP_Lamm_av U)))))
% 19.00/19.19  (assume a7880 (forall ((U tptp.rat)) (= (tptp.set_ord_atMost_rat U) (tptp.collect_rat (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_ua U)))))
% 19.00/19.19  (assume a7881 (forall ((U tptp.num)) (= (tptp.set_ord_atMost_num U) (tptp.collect_num (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_ub U)))))
% 19.00/19.19  (assume a7882 (forall ((U tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_az U)))))
% 19.00/19.19  (assume a7883 (forall ((U tptp.int)) (= (tptp.set_ord_atMost_int U) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_uc U)))))
% 19.00/19.19  (assume a7884 (forall ((F tptp.fun_nat_real) (X2 tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ud F) Z))))))
% 19.00/19.19  (assume a7885 (forall ((F tptp.fun_nat_complex) (X2 tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2))) (tptp.summable_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_ue F) Z))))))
% 19.00/19.19  (assume a7886 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real G N2)))) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real F)) (tptp.suminf_real G))))))))
% 19.00/19.19  (assume a7887 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat G N2)))) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.suminf_nat F)) (tptp.suminf_nat G))))))))
% 19.00/19.19  (assume a7888 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int G N2)))) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.suminf_int F)) (tptp.suminf_int G))))))))
% 19.00/19.19  (assume a7889 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_complex F N2) tptp.zero_zero_complex))) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7890 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_real F N2) tptp.zero_zero_real))) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7891 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_nat F N2) tptp.zero_zero_nat))) (tptp.summable_nat F)))))
% 19.00/19.19  (assume a7892 (forall ((N4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4))) (= (tptp.aa_nat_int F N2) tptp.zero_zero_int))) (tptp.summable_int F)))))
% 19.00/19.19  (assume a7893 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N))))
% 19.00/19.19  (assume a7894 (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))))
% 19.00/19.19  (assume a7895 (forall ((C tptp.complex) (F tptp.fun_nat_complex)) (=> (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qx C) F)) (=> (not (= C tptp.zero_zero_complex)) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a7896 (forall ((C tptp.real) (F tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qy C) F)) (=> (not (= C tptp.zero_zero_real)) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7897 (tptp.summable_real (tptp.power_power_real tptp.zero_zero_real)))
% 19.00/19.19  (assume a7898 (tptp.summable_int (tptp.power_power_int tptp.zero_zero_int)))
% 19.00/19.19  (assume a7899 (tptp.summable_complex (tptp.power_power_complex tptp.zero_zero_complex)))
% 19.00/19.19  (assume a7900 (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)))))
% 19.00/19.19  (assume a7901 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.suminf_real F)) (tptp.suminf_real G)) (tptp.suminf_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_hk F) G)))))))
% 19.00/19.19  (assume a7902 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.suminf_nat F)) (tptp.suminf_nat G)) (tptp.suminf_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_hi F) G)))))))
% 19.00/19.19  (assume a7903 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.suminf_int F)) (tptp.suminf_int G)) (tptp.suminf_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pu F) G)))))))
% 19.00/19.19  (assume a7904 (forall ((H tptp.int) (L2 tptp.int) (H2 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int H)) (tptp.set_or1266510415728281911st_int L2 H2))))))
% 19.00/19.19  (assume a7905 (forall ((H tptp.real) (L2 tptp.real) (H2 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_ord_atMost_real H)) (tptp.set_or1222579329274155063t_real L2 H2))))))
% 19.00/19.19  (assume a7906 (forall ((G tptp.fun_nat_fun_nat_int) (N tptp.nat)) (= (tptp.groups4075276357253098568at_int (tptp.produc6840382203811409530at_int G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_uf N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_uh G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a7907 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups4077766827762148844at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_uf N)))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_uj G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a7908 (forall ((S2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (exists ((K2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat S2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K2)))))))
% 19.00/19.19  (assume a7909 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 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 N2)))) (= (= (tptp.suminf_real F) tptp.zero_zero_real) (forall ((N3 tptp.nat)) (= (tptp.aa_nat_real F N3) tptp.zero_zero_real)))))))
% 19.00/19.19  (assume a7910 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 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 F N2)))) (= (= (tptp.suminf_nat F) tptp.zero_zero_nat) (forall ((N3 tptp.nat)) (= (tptp.aa_nat_nat F N3) tptp.zero_zero_nat)))))))
% 19.00/19.19  (assume a7911 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 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 F N2)))) (= (= (tptp.suminf_int F) tptp.zero_zero_int) (forall ((N3 tptp.nat)) (= (tptp.aa_nat_int F N3) tptp.zero_zero_int)))))))
% 19.00/19.19  (assume a7912 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 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 N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.suminf_real F)))))))
% 19.00/19.19  (assume a7913 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 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 F N2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.suminf_nat F)))))))
% 19.00/19.19  (assume a7914 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 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 F N2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.suminf_int F)))))))
% 19.00/19.19  (assume a7915 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F)))))))
% 19.00/19.19  (assume a7916 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 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 F N2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F)))))))
% 19.00/19.19  (assume a7917 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 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 F N2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F)))))))
% 19.00/19.19  (assume a7918 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_gn F))))
% 19.00/19.19  (assume a7919 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_gp F))))
% 19.00/19.19  (assume a7920 (forall ((F tptp.fun_nat_int)) (tptp.summable_int (tptp.aTP_Lamm_uk F))))
% 19.00/19.19  (assume a7921 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_gn F))))
% 19.00/19.19  (assume a7922 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_gp F))))
% 19.00/19.19  (assume a7923 (forall ((G tptp.fun_nat_fun_nat_int) (N tptp.nat)) (= (tptp.groups4075276357253098568at_int (tptp.produc6840382203811409530at_int G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ul N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_uh G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7924 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups4077766827762148844at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ul N)))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_uj G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7925 (forall ((F tptp.fun_nat_complex) (M tptp.nat) (Z tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_um F) M) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z)))))
% 19.00/19.19  (assume a7926 (forall ((F tptp.fun_nat_real) (M tptp.nat) (Z tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_un F) M) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z)))))
% 19.00/19.19  (assume a7927 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N7 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N2)) (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 F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_uo F))))))
% 19.00/19.19  (assume a7928 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_atMost_rat A)) (tptp.set_ord_lessThan_rat B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 19.00/19.19  (assume a7929 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_atMost_num A)) (tptp.set_ord_lessThan_num B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)))))
% 19.00/19.19  (assume a7930 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat A)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 19.00/19.19  (assume a7931 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int A)) (tptp.set_ord_lessThan_int B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 19.00/19.19  (assume a7932 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_ord_atMost_real A)) (tptp.set_or5984915006950818249n_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 19.00/19.19  (assume a7933 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_nat I J)) (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_ch (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int J))))))
% 19.00/19.19  (assume a7934 (forall ((F tptp.fun_nat_real) (I tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((N2 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 N2)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F))))))))
% 19.00/19.19  (assume a7935 (forall ((F tptp.fun_nat_nat) (I tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 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 F N2)))) (=> (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 I))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F))))))))
% 19.00/19.19  (assume a7936 (forall ((F tptp.fun_nat_int) (I tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((N2 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 F N2)))) (=> (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 I))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F))))))))
% 19.00/19.19  (assume a7937 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 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 N2)))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F))) (exists ((I5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I5)))))))))
% 19.00/19.19  (assume a7938 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 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 F N2)))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F))) (exists ((I5 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 F I5)))))))))
% 19.00/19.19  (assume a7939 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 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 F N2)))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F))) (exists ((I5 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 F I5)))))))))
% 19.00/19.19  (assume a7940 (forall ((F tptp.fun_nat_int) (X2 tptp.int)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.suminf_int F)) X2))))))
% 19.00/19.19  (assume a7941 (forall ((F tptp.fun_nat_nat) (X2 tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.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 F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.suminf_nat F)) X2))))))
% 19.00/19.19  (assume a7942 (forall ((F tptp.fun_nat_real) (X2 tptp.real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real F)) X2))))))
% 19.00/19.19  (assume a7943 (forall ((F tptp.fun_nat_real) (X2 tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z))))))
% 19.00/19.19  (assume a7944 (forall ((F tptp.fun_nat_complex) (X2 tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2))) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z))))))
% 19.00/19.19  (assume a7945 (forall ((F tptp.fun_nat_int) (X2 tptp.int)) (=> (forall ((N2 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 F N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.summable_int F)))))
% 19.00/19.19  (assume a7946 (forall ((F tptp.fun_nat_nat) (X2 tptp.nat)) (=> (forall ((N2 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 F N2)))) (=> (forall ((N2 tptp.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 F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.summable_nat F)))))
% 19.00/19.19  (assume a7947 (forall ((F tptp.fun_nat_real) (X2 tptp.real)) (=> (forall ((N2 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 N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X2))) (tptp.summable_real F)))))
% 19.00/19.19  (assume a7948 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2)) tptp.one_one_real)) (tptp.summable_real (tptp.power_power_real X2)))))
% 19.00/19.19  (assume a7949 (forall ((X2 tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2)) tptp.one_one_real)) (tptp.summable_complex (tptp.power_power_complex X2)))))
% 19.00/19.19  (assume a7950 (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.summable_real (tptp.power_power_real C)))))
% 19.00/19.19  (assume a7951 (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.summable_complex (tptp.power_power_complex C)))))
% 19.00/19.19  (assume a7952 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aTP_Lamm_km F)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.suminf_real F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a7953 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7954 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (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 G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7955 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7956 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7957 (forall ((F tptp.fun_nat_rat) (I tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ni F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat F tptp.zero_zero_nat)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc I))))))
% 19.00/19.19  (assume a7958 (forall ((F tptp.fun_nat_int) (I tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_nj F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F tptp.zero_zero_nat)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I))))))
% 19.00/19.19  (assume a7959 (forall ((F tptp.fun_nat_real) (I tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_nk F)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc I))))))
% 19.00/19.19  (assume a7960 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (D tptp.fun_nat_complex)) (= (forall ((X3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj D) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (= (tptp.aa_nat_complex C I5) (tptp.aa_nat_complex D I5)))))))
% 19.00/19.19  (assume a7961 (forall ((C tptp.fun_nat_real) (N tptp.nat) (D tptp.fun_nat_real)) (= (forall ((X3 tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts D) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (= (tptp.aa_nat_real C I5) (tptp.aa_nat_real D I5)))))))
% 19.00/19.19  (assume a7962 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (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.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7963 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7964 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (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.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7965 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.00/19.19  (assume a7966 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (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_ch (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)))))))
% 19.00/19.19  (assume a7967 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_up A)) (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.aTP_Lamm_ur A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7968 (forall ((A tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_us A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_uu A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7969 (forall ((A tptp.fun_nat_fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_uv A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_ux A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7970 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_uy A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_uz A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a7971 (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)))))
% 19.00/19.19  (assume a7972 (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)))))))
% 19.00/19.19  (assume a7973 (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))))))))
% 19.00/19.19  (assume a7974 (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))))))))
% 19.00/19.19  (assume a7975 (forall ((F tptp.fun_nat_int) (I6 tptp.set_nat)) (=> (tptp.summable_int F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I6))) (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 N2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F I6)) (tptp.suminf_int F))))))))
% 19.00/19.19  (assume a7976 (forall ((F tptp.fun_nat_nat) (I6 tptp.set_nat)) (=> (tptp.summable_nat F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I6))) (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 N2))))) (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 F) I6)) (tptp.suminf_nat F))))))))
% 19.00/19.19  (assume a7977 (forall ((F tptp.fun_nat_real) (I6 tptp.set_nat)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I6))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) I6)) (tptp.suminf_real F))))))))
% 19.00/19.19  (assume a7978 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (= (tptp.suminf_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) K))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 19.00/19.19  (assume a7979 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.suminf_real F)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 19.00/19.19  (assume a7980 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K tptp.nat)) (=> (forall ((W tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) W) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex C K) tptp.zero_zero_complex)))))
% 19.00/19.19  (assume a7981 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K tptp.nat)) (=> (forall ((W tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) W)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real C K) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a7982 (forall ((C tptp.fun_nat_complex) (N tptp.nat)) (= (forall ((X3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (= (tptp.aa_nat_complex C I5) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a7983 (forall ((C tptp.fun_nat_real) (N tptp.nat)) (= (forall ((X3 tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (= (tptp.aa_nat_real C I5) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a7984 (forall ((I6 tptp.set_VEBT_VEBT) (F tptp.fun_VEBT_VEBT_real)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool tptp.finite5795047828879050333T_VEBT I6)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups2703838992350267259T_real F I6)) (tptp.groups2240296850493347238T_real (tptp.aTP_Lamm_va F) I6))))))
% 19.00/19.19  (assume a7985 (forall ((I6 tptp.set_set_nat) (F tptp.fun_set_nat_real)) (=> (tptp.pp (tptp.aa_set_set_nat_bool tptp.finite1152437895449049373et_nat I6)) (=> (forall ((I3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_set_nat_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups3619160379726066777t_real F I6)) (tptp.groups5107569545109728110t_real (tptp.aTP_Lamm_vb F) I6))))))
% 19.00/19.19  (assume a7986 (forall ((I6 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups1681761925125756287l_real F I6)) (tptp.groups8097168146408367636l_real (tptp.aTP_Lamm_vc F) I6))))))
% 19.00/19.19  (assume a7987 (forall ((I6 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups2316167850115554303t_real F I6)) (tptp.groups8778361861064173332t_real (tptp.aTP_Lamm_vd F) I6))))))
% 19.00/19.19  (assume a7988 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups766887009212190081x_real F I6)) (tptp.groups5808333547571424918x_real (tptp.aTP_Lamm_ve F) I6))))))
% 19.00/19.19  (assume a7989 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I3))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real F) I6)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_vf F)) I6))))))
% 19.00/19.19  (assume a7990 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7991 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7992 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7993 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7994 (forall ((F tptp.fun_nat_rat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat F (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))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups2906978787729119204at_rat F (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))))
% 19.00/19.19  (assume a7995 (forall ((F tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int F (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))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups3539618377306564664at_int F (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))))
% 19.00/19.19  (assume a7996 (forall ((F tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (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))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))))
% 19.00/19.19  (assume a7997 (forall ((F tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (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))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))))
% 19.00/19.19  (assume a7998 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_km G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a7999 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_lf G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a8000 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_lg G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a8001 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (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 (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_kl G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.00/19.19  (assume a8002 (forall ((N tptp.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)))))
% 19.00/19.19  (assume a8003 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups977919841031483927at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_uf N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_vg G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8004 (forall ((G tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups4567486121110086003t_real (tptp.produc1703576794950452218t_real G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_uf N)))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_vi G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8005 (forall ((F tptp.fun_nat_int) (N tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (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 M3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_int F)))))))
% 19.00/19.19  (assume a8006 (forall ((F tptp.fun_nat_nat) (N tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (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 M3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_nat F)))))))
% 19.00/19.19  (assume a8007 (forall ((F tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F M3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))
% 19.00/19.19  (assume a8008 (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)))))))
% 19.00/19.19  (assume a8009 (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)))))))
% 19.00/19.19  (assume a8010 (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))))))))
% 19.00/19.19  (assume a8011 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z)) (= (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex F tptp.zero_zero_nat)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_vj F) Z))) Z))))))
% 19.00/19.19  (assume a8012 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z)) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_vk F) Z))) Z))))))
% 19.00/19.19  (assume a8013 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_vj F) Z))) Z) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj F) Z))) (tptp.aa_nat_complex F tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a8014 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_vk F) Z))) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts F) Z))) (tptp.aa_nat_real F tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a8015 (forall ((F tptp.fun_nat_complex) (E2 tptp.real)) (=> (tptp.summable_complex F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (not (forall ((N8 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) M2)) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups2073611262835488442omplex F (tptp.set_or1269000886237332187st_nat M2 N5)))) E2))))))))))))
% 19.00/19.19  (assume a8016 (forall ((F tptp.fun_nat_real) (E2 tptp.real)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (not (forall ((N8 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) M2)) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.set_or1269000886237332187st_nat M2 N5)))) E2))))))))))))
% 19.00/19.19  (assume a8017 (forall ((R2 tptp.real) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (=> (tptp.summable_real F) (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_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko F) N5)))) R2)))))))))
% 19.00/19.19  (assume a8018 (forall ((R2 tptp.real) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (=> (tptp.summable_complex F) (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_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.suminf_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_vl F) N5)))) R2)))))))))
% 19.00/19.19  (assume a8019 (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_ts F) Z))))))))
% 19.00/19.19  (assume a8020 (forall ((R2 tptp.real) (R0 tptp.real) (A tptp.fun_nat_complex) (M5 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_real R2) R0)) (=> (forall ((N2 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_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex A N2))) (tptp.aa_nat_real (tptp.power_power_real R0) N2))) M5))) (tptp.summable_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_vm R2) A)))))))
% 19.00/19.19  (assume a8021 (forall ((X2 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a8022 (forall ((X2 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a8023 (forall ((X2 tptp.int) (N 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 tptp.one_one_int) X2)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X2) (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a8024 (forall ((X2 tptp.real) (N 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 tptp.one_one_real) X2)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N))))))
% 19.00/19.19  (assume a8025 (forall ((C tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vn C) N)))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (not (= (tptp.aa_nat_complex C I5) tptp.zero_zero_complex)))))))
% 19.00/19.19  (assume a8026 (forall ((C tptp.fun_nat_real) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_vo C) N)))) (exists ((I5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I5) N)) (not (= (tptp.aa_nat_real C I5) tptp.zero_zero_real)))))))
% 19.00/19.19  (assume a8027 (forall ((C tptp.fun_nat_complex) (K tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_complex C K) tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vn C) N))))))))
% 19.00/19.19  (assume a8028 (forall ((C tptp.fun_nat_real) (K tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_real C K) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_vo C) N))))))))
% 19.00/19.19  (assume a8029 (forall ((C tptp.fun_nat_complex) (A tptp.complex) (N tptp.nat)) (=> (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex) (not (forall ((B3 tptp.fun_nat_complex)) (not (forall ((Z3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Z3) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 19.00/19.19  (assume a8030 (forall ((C tptp.fun_nat_rat) (A tptp.rat) (N tptp.nat)) (=> (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat) (not (forall ((B3 tptp.fun_nat_rat)) (not (forall ((Z3 tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Z3) A)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 19.00/19.19  (assume a8031 (forall ((C tptp.fun_nat_int) (A tptp.int) (N tptp.nat)) (=> (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int) (not (forall ((B3 tptp.fun_nat_int)) (not (forall ((Z3 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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.minus_minus_int Z3) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 19.00/19.19  (assume a8032 (forall ((C tptp.fun_nat_real) (A tptp.real) (N tptp.nat)) (=> (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real) (not (forall ((B3 tptp.fun_nat_real)) (not (forall ((Z3 tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) Z3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z3) A)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts B3) Z3)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 19.00/19.19  (assume a8033 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (A tptp.complex)) (exists ((B3 tptp.fun_nat_complex)) (forall ((Z3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Z3) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 19.00/19.19  (assume a8034 (forall ((C tptp.fun_nat_rat) (N tptp.nat) (A tptp.rat)) (exists ((B3 tptp.fun_nat_rat)) (forall ((Z3 tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Z3) A)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 19.00/19.19  (assume a8035 (forall ((C tptp.fun_nat_int) (N tptp.nat) (A tptp.int)) (exists ((B3 tptp.fun_nat_int)) (forall ((Z3 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z3) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp B3) Z3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 19.00/19.19  (assume a8036 (forall ((C tptp.fun_nat_real) (N tptp.nat) (A tptp.real)) (exists ((B3 tptp.fun_nat_real)) (forall ((Z3 tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) Z3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (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 Z3) A)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts B3) Z3)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 19.00/19.19  (assume a8037 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X2) M)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 19.00/19.19  (assume a8038 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X2) M)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 19.00/19.19  (assume a8039 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.set_or1269000886237332187st_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 X2) M)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 19.00/19.19  (assume a8040 (forall ((M tptp.nat) (N tptp.nat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.set_or1269000886237332187st_nat M N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X2) M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 19.00/19.19  (assume a8041 (forall ((C tptp.real) (N4 tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.one_one_real)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N4) N2)) (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 F (tptp.aa_nat_nat tptp.suc N2)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real F N2))))))) (tptp.summable_real F)))))
% 19.00/19.19  (assume a8042 (forall ((C tptp.real) (N4 tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.one_one_real)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N4) N2)) (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 F (tptp.aa_nat_nat tptp.suc N2)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F N2))))))) (tptp.summable_complex F)))))
% 19.00/19.19  (assume a8043 (forall ((F tptp.fun_nat_int) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (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 M3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (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 I))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_int F)))))))))
% 19.00/19.19  (assume a8044 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (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 M3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (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 I))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_nat F)))))))))
% 19.00/19.19  (assume a8045 (forall ((F tptp.fun_nat_real) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F M3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))))
% 19.00/19.19  (assume a8046 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups977919841031483927at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ul N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_vg G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a8047 (forall ((G tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups4567486121110086003t_real (tptp.produc1703576794950452218t_real G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ul N)))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_vi G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 19.00/19.19  (assume a8048 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lr G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8049 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_ls G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8050 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_lt G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8051 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lu G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8052 (forall ((M tptp.nat) (A tptp.fun_nat_complex) (N tptp.nat) (B tptp.fun_nat_complex) (X2 tptp.complex)) (=> (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_complex A I3) tptp.zero_zero_complex))) (=> (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_complex B J2) tptp.zero_zero_complex))) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj B) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_fun3721018923249493343omplex (tptp.aTP_Lamm_vq A) B) X2) (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))))))))
% 19.00/19.19  (assume a8053 (forall ((M tptp.nat) (A tptp.fun_nat_rat) (N tptp.nat) (B tptp.fun_nat_rat) (X2 tptp.rat)) (=> (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_rat A I3) tptp.zero_zero_rat))) (=> (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_rat B J2) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm B) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_fun5559679822142647773at_rat (tptp.aTP_Lamm_vs A) B) X2) (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))))))))
% 19.00/19.19  (assume a8054 (forall ((M tptp.nat) (A tptp.fun_nat_int) (N tptp.nat) (B tptp.fun_nat_int) (X2 tptp.int)) (=> (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_int A I3) tptp.zero_zero_int))) (=> (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_int B J2) tptp.zero_zero_int))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp B) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_fun2315716387381795033at_int (tptp.aTP_Lamm_vu A) B) X2) (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))))))))
% 19.00/19.19  (assume a8055 (forall ((M tptp.nat) (A tptp.fun_nat_real) (N tptp.nat) (B tptp.fun_nat_real) (X2 tptp.real)) (=> (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_real A I3) tptp.zero_zero_real))) (=> (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_real B J2) tptp.zero_zero_real))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts A) X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts B) X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_fun4732485501138722137t_real (tptp.aTP_Lamm_vw A) B) X2)) (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))))))))
% 19.00/19.19  (assume a8056 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ta G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8057 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_tb G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8058 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_tc G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8059 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_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 (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_td G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8060 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K tptp.complex)) (= (forall ((X3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) K)) (and (= (tptp.aa_nat_complex C tptp.zero_zero_nat) K) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N))) (= (tptp.aa_nat_complex C X3) tptp.zero_zero_complex)))))))
% 19.00/19.19  (assume a8061 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K tptp.real)) (= (forall ((X3 tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) K)) (and (= (tptp.aa_nat_real C tptp.zero_zero_nat) K) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N))) (= (tptp.aa_nat_real C X3) tptp.zero_zero_real)))))))
% 19.00/19.19  (assume a8062 (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 ((K3 tptp.int) (L3 tptp.int)) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int K3 L3)) (=> (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K3) (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_set_int_bool (tptp.member_int L3) (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.divide_divide_int K3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.divide_divide_int L3) (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 K3) L3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 19.00/19.19  (assume a8063 (forall ((M tptp.nat) (A tptp.fun_nat_nat) (N tptp.nat) (B tptp.fun_nat_nat) (X2 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 B 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_vx A) X2)) (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_vx B) X2)) (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_vz A) B) X2)) (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))))))))
% 19.00/19.19  (assume a8064 (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)))))))))))
% 19.00/19.19  (assume a8065 (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)))))))))
% 19.00/19.19  (assume a8066 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_complex) (H tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wa K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wb K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8067 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_rat) (H tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wc K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wd K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8068 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_int) (H tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_we K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_wf K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8069 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_nat) (H tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wg K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wh K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8070 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_real) (H tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wi K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wj K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8071 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_complex) (H tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wk K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wb K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8072 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_real) (H tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wl K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.aa_set_nat_real (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wj K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8073 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_rat) (H tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wm K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wd K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8074 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_int) (H tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_wn K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_wf K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8075 (forall ((P3 tptp.nat) (K tptp.nat) (G tptp.fun_nat_nat) (H tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P3)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wo K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P3)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wh K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 19.00/19.19  (assume a8076 (forall ((N tptp.nat) (Z tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex Z) N) A) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aTP_Lamm_wp N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)))))
% 19.00/19.19  (assume a8077 (forall ((N tptp.nat) (Z tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_int (tptp.power_power_int Z) N) A) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aTP_Lamm_wq N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int)))))
% 19.00/19.19  (assume a8078 (forall ((N tptp.nat) (Z tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat Z) N) A) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aTP_Lamm_wr N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat)))))
% 19.00/19.19  (assume a8079 (forall ((N tptp.nat) (Z tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Z) N) A) (= (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aa_Cod6397266357770349983nteger (tptp.aTP_Lamm_ws N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger)))))
% 19.00/19.19  (assume a8080 (forall ((N tptp.nat) (Z tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_real (tptp.power_power_real Z) N) A) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_wt N) Z) A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8081 (forall ((X2 tptp.complex) (N tptp.nat)) (and (=> (= X2 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X2 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X2)))))))
% 19.00/19.19  (assume a8082 (forall ((X2 tptp.rat) (N tptp.nat)) (and (=> (= X2 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X2 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) X2)))))))
% 19.00/19.19  (assume a8083 (forall ((X2 tptp.real) (N tptp.nat)) (and (=> (= X2 tptp.one_one_real) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X2 tptp.one_one_real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.power_power_real X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X2)))))))
% 19.00/19.19  (assume a8084 (forall ((N tptp.nat) (A tptp.fun_nat_complex) (X2 tptp.complex) (Y tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_wv N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a8085 (forall ((N tptp.nat) (A tptp.fun_nat_rat) (X2 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X2) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_wx N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a8086 (forall ((N tptp.nat) (A tptp.fun_nat_int) (X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp A) X2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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.minus_minus_int X2) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_wz N) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a8087 (forall ((N tptp.nat) (A tptp.fun_nat_real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts A) X2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts A) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) Y)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_xb N) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 19.00/19.19  (assume a8088 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8089 (forall ((E2 tptp.real) (C tptp.fun_nat_complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((M8 tptp.real)) (forall ((Z3 tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real M8) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) Z3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real E2) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z3)) (tptp.aa_nat_nat tptp.suc N)))))))))))
% 19.00/19.19  (assume a8090 (forall ((E2 tptp.real) (C 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) E2)) (exists ((M8 tptp.real)) (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real M8) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z3))) (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_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) Z3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real E2) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z3)) (tptp.aa_nat_nat tptp.suc N)))))))))))
% 19.00/19.19  (assume a8091 (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_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_xc N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8092 (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_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_xd N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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)))))
% 19.00/19.19  (assume a8093 (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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_xe N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8094 (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_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.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xf N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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)))))
% 19.00/19.19  (assume a8095 (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_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xg N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8096 (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_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_xh N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8097 (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_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_xi N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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)))))
% 19.00/19.19  (assume a8098 (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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_xj N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8099 (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_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.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xk N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat 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)))))
% 19.00/19.19  (assume a8100 (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_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xl N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.00/19.19  (assume a8101 (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.groups2073611262835488442omplex (tptp.aTP_Lamm_xm N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8102 (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.groups2906978787729119204at_rat (tptp.aTP_Lamm_xn N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8103 (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.groups7501900531339628137nteger (tptp.aTP_Lamm_xo N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8104 (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.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xp N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 19.00/19.19  (assume a8105 (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_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xq N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a8106 (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)))))
% 19.00/19.19  (assume a8107 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_xr N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8108 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_xs N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8109 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_xt N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8110 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xu N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 19.00/19.19  (assume a8111 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xv N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a8112 (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)))))
% 19.00/19.19  (assume a8113 (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)))
% 19.00/19.19  (assume a8114 (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)))
% 19.00/19.19  (assume a8115 (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)))))
% 19.00/19.19  (assume a8116 (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))))))
% 19.00/19.19  (assume a8117 (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)))
% 19.00/19.19  (assume a8118 (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))))
% 19.00/19.19  (assume a8119 (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))))))
% 19.00/19.19  (assume a8120 (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)))))
% 19.00/19.19  (assume a8121 (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))))))
% 19.00/19.19  (assume a8122 (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))))))
% 19.00/19.19  (assume a8123 (forall ((A tptp.nat) (B 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) B))) (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 B)) (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) B))) A)))))
% 19.00/19.19  (assume a8124 (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))))))))
% 19.00/19.19  (assume a8125 (forall ((R2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xw 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))))
% 19.00/19.19  (assume a8126 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xx 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)))))
% 19.00/19.19  (assume a8127 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xx 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))))
% 19.00/19.19  (assume a8128 (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.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)))))))
% 19.00/19.19  (assume a8129 (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)))))))
% 19.00/19.19  (assume a8130 (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)))))
% 19.00/19.19  (assume a8131 (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)))))))
% 19.00/19.19  (assume a8132 (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)))))))
% 19.00/19.19  (assume a8133 (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_xy 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)))))
% 19.00/19.19  (assume a8134 (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_xz 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))))
% 19.00/19.19  (assume a8135 (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))))))
% 19.00/19.19  (assume a8136 (forall ((A tptp.nat) (B 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) B)) N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ya A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8137 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) N) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_yb A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8138 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) N) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_yc A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8139 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_yd A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8140 (forall ((A tptp.nat) (B 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) B)) N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ya A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8141 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) N) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ye A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8142 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) N) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_yf A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8143 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_yg A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8144 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) N) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_yh A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.00/19.19  (assume a8145 (forall ((X2 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 X2)) tptp.one_one_real)) (tptp.summable_real (tptp.aTP_Lamm_yi X2)))))
% 19.00/19.19  (assume a8146 (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))))))
% 19.00/19.19  (assume a8147 (forall ((A tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_yj A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.one_one_nat))))))
% 19.00/19.19  (assume a8148 (forall ((A tptp.rat) (M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_yk A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.one_one_nat))))))
% 19.00/19.19  (assume a8149 (forall ((A tptp.real) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_yl A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (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 (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) 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.gbinomial_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.one_one_nat))))))
% 19.00/19.19  (assume a8150 (forall ((C tptp.fun_nat_complex) (X2 tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ym C) X2)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_yn C) X2)) (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ym C) X2)))))))
% 19.00/19.19  (assume a8151 (forall ((C tptp.fun_nat_real) (X2 tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yo C) X2)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yp C) X2)) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yo C) X2)))))))
% 19.00/19.19  (assume a8152 (forall ((M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.gbinomial_complex (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_nat_complex tptp.semiri8010041392384452111omplex M))) tptp.one_one_complex)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (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))) M)))))
% 19.00/19.19  (assume a8153 (forall ((M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M))) tptp.one_one_rat)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (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))) M)))))
% 19.00/19.19  (assume a8154 (forall ((M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.gbinomial_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_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) tptp.one_one_real))) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_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))) M)))))
% 19.00/19.19  (assume a8155 (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))))
% 19.00/19.19  (assume a8156 (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))))
% 19.00/19.19  (assume a8157 (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))))
% 19.00/19.19  (assume a8158 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A))))
% 19.00/19.19  (assume a8159 (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))))
% 19.00/19.19  (assume a8160 (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))))
% 19.00/19.19  (assume a8161 (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))))
% 19.00/19.19  (assume a8162 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A))))
% 19.00/19.19  (assume a8163 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) N)))
% 19.00/19.19  (assume a8164 (= (tptp.abs_abs_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.00/19.19  (assume a8165 (= (tptp.aa_complex_complex tptp.abs_abs_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.00/19.19  (assume a8166 (= (tptp.aa_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.19  (assume a8167 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.00/19.19  (assume a8168 (= (tptp.aa_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.00/19.19  (assume a8169 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.abs_abs_Code_integer A)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8170 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.abs_abs_real A)) (= A tptp.zero_zero_real))))
% 19.00/19.19  (assume a8171 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (= A tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8172 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.abs_abs_int A)) (= A tptp.zero_zero_int))))
% 19.00/19.19  (assume a8173 (forall ((A tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8174 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.00/19.19  (assume a8175 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8176 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.00/19.19  (assume a8177 (= (tptp.abs_abs_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.00/19.19  (assume a8178 (= (tptp.aa_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.19  (assume a8179 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.00/19.19  (assume a8180 (= (tptp.aa_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.00/19.19  (assume a8181 (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))))
% 19.00/19.19  (assume a8182 (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))))
% 19.00/19.19  (assume a8183 (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))))
% 19.00/19.19  (assume a8184 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.numera6620942414471956472nteger N)) (tptp.numera6620942414471956472nteger N))))
% 19.00/19.19  (assume a8185 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer A)) (tptp.times_3573771949741848930nteger A A))))
% 19.00/19.19  (assume a8186 (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))))
% 19.00/19.19  (assume a8187 (forall ((A tptp.rat)) (= (tptp.aa_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.times_times_rat A) A))))
% 19.00/19.19  (assume a8188 (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))))
% 19.00/19.19  (assume a8189 (= (tptp.abs_abs_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.00/19.19  (assume a8190 (= (tptp.aa_complex_complex tptp.abs_abs_complex tptp.one_one_complex) tptp.one_one_complex))
% 19.00/19.19  (assume a8191 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 19.00/19.19  (assume a8192 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.00/19.19  (assume a8193 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 19.00/19.19  (assume a8194 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B)))))
% 19.00/19.19  (assume a8195 (forall ((A tptp.real) (B 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 B))) (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 B)))))
% 19.00/19.19  (assume a8196 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B)))))
% 19.00/19.19  (assume a8197 (forall ((A tptp.int) (B 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 B))) (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 B)))))
% 19.00/19.19  (assume a8198 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (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 B)))))
% 19.00/19.19  (assume a8199 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) (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 B)))))
% 19.00/19.19  (assume a8200 (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))))
% 19.00/19.19  (assume a8201 (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))))
% 19.00/19.19  (assume a8202 (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))))
% 19.00/19.19  (assume a8203 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A))))
% 19.00/19.19  (assume a8204 (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))))
% 19.00/19.19  (assume a8205 (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))))
% 19.00/19.19  (assume a8206 (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))))
% 19.00/19.19  (assume a8207 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A))))
% 19.00/19.19  (assume a8208 (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)))))
% 19.00/19.19  (assume a8209 (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)))))
% 19.00/19.19  (assume a8210 (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)))))
% 19.00/19.19  (assume a8211 (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)))))
% 19.00/19.19  (assume a8212 (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)))))
% 19.00/19.19  (assume a8213 (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)))))
% 19.00/19.19  (assume a8214 (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)))))
% 19.00/19.19  (assume a8215 (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)))))
% 19.00/19.19  (assume a8216 (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))))
% 19.00/19.19  (assume a8217 (forall ((N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))))
% 19.00/19.19  (assume a8218 (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))))
% 19.00/19.19  (assume a8219 (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))))
% 19.00/19.19  (assume a8220 (forall ((X2 tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.abs_abs_int X2)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int X2)))))
% 19.00/19.19  (assume a8221 (forall ((X2 tptp.int)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.abs_abs_int X2)) (tptp.abs_abs_Code_integer (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger X2)))))
% 19.00/19.19  (assume a8222 (forall ((X2 tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.abs_abs_int X2)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real X2)))))
% 19.00/19.19  (assume a8223 (forall ((X2 tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.abs_abs_int X2)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X2)))))
% 19.00/19.19  (assume a8224 (forall ((P tptp.bool)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.zero_n3304061248610475627l_real P)) (tptp.zero_n3304061248610475627l_real P))))
% 19.00/19.19  (assume a8225 (forall ((P tptp.bool)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat P))))
% 19.00/19.19  (assume a8226 (forall ((P tptp.bool)) (= (tptp.abs_abs_Code_integer (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger P))))
% 19.00/19.19  (assume a8227 (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))))
% 19.00/19.19  (assume a8228 (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))))
% 19.00/19.19  (assume a8229 (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))))
% 19.00/19.19  (assume a8230 (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))))
% 19.00/19.19  (assume a8231 (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))))
% 19.00/19.19  (assume a8232 (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)))))
% 19.00/19.19  (assume a8233 (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)))))
% 19.00/19.19  (assume a8234 (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)))))
% 19.00/19.19  (assume a8235 (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)))))
% 19.00/19.19  (assume a8236 (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))))
% 19.00/19.19  (assume a8237 (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))))
% 19.00/19.19  (assume a8238 (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))))
% 19.00/19.19  (assume a8239 (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))))
% 19.00/19.19  (assume a8240 (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)))))
% 19.00/19.19  (assume a8241 (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)))))
% 19.00/19.19  (assume a8242 (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)))))
% 19.00/19.19  (assume a8243 (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)))))
% 19.00/19.19  (assume a8244 (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))))
% 19.00/19.19  (assume a8245 (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))))
% 19.00/19.19  (assume a8246 (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))))
% 19.00/19.19  (assume a8247 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger N))))
% 19.00/19.19  (assume a8248 (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 19.00/19.19  (assume a8249 (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 19.00/19.19  (assume a8250 (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat))
% 19.00/19.19  (assume a8251 (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 19.00/19.19  (assume a8252 (forall ((K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex tptp.zero_zero_complex) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_complex)))
% 19.00/19.19  (assume a8253 (forall ((K tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_real)))
% 19.00/19.19  (assume a8254 (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)))
% 19.00/19.19  (assume a8255 (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)))
% 19.00/19.19  (assume a8256 (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)))
% 19.00/19.19  (assume a8257 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 19.00/19.19  (assume a8258 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 19.00/19.19  (assume a8259 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 19.00/19.19  (assume a8260 (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)))
% 19.00/19.19  (assume a8261 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 19.00/19.19  (assume a8262 (forall ((F tptp.fun_int_int) (A2 tptp.set_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.groups4538972089207619220nt_int F A2))) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_yq F) A2)))))
% 19.00/19.19  (assume a8263 (forall ((F tptp.fun_nat_real) (A2 tptp.set_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_set_nat_real (tptp.groups6591440286371151544t_real F) A2))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_yr F)) A2)))))
% 19.00/19.19  (assume a8264 (forall ((A tptp.real) (B 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 B)))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (= B tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8265 (forall ((A tptp.rat) (B 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 B)))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (= B tptp.zero_zero_rat)))))
% 19.00/19.19  (assume a8266 (forall ((A tptp.real) (B 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 B))) 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)) (= B tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8267 (forall ((A tptp.rat) (B 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 B))) 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)) (= B tptp.zero_zero_rat)))))
% 19.00/19.19  (assume a8268 (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)))))
% 19.00/19.19  (assume a8269 (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)))))
% 19.00/19.19  (assume a8270 (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)))))
% 19.00/19.19  (assume a8271 (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)))))
% 19.00/19.19  (assume a8272 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.artanh_real (tptp.aa_real_real tptp.uminus_uminus_real X2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.artanh_real X2))))))
% 19.00/19.19  (assume a8273 (forall ((F tptp.fun_int_int) (A2 tptp.set_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_yq F) A2)))))
% 19.00/19.19  (assume a8274 (forall ((F tptp.fun_nat_real) (A2 tptp.set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_yr F)) A2)))))
% 19.00/19.19  (assume a8275 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N))) (or (not (= A tptp.zero_z3403309356797280102nteger)) (= N tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a8276 (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.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)))))
% 19.00/19.19  (assume a8277 (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)))))
% 19.00/19.19  (assume a8278 (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)))))
% 19.00/19.19  (assume a8279 (forall ((A tptp.real) (B 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)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 19.00/19.19  (assume a8280 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)))))
% 19.00/19.19  (assume a8281 (forall ((A tptp.rat) (B 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)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 19.00/19.19  (assume a8282 (forall ((A tptp.int) (B 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)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 19.00/19.19  (assume a8283 (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)))))
% 19.00/19.19  (assume a8284 (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)))))
% 19.00/19.19  (assume a8285 (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)))))
% 19.00/19.19  (assume a8286 (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)))))
% 19.00/19.19  (assume a8287 (forall ((A tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8288 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.abs_abs_complex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8289 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.00/19.19  (assume a8290 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8291 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.00/19.19  (assume a8292 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.times_3573771949741848930nteger A B)) (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B)))))
% 19.00/19.19  (assume a8293 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) (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 B)))))
% 19.00/19.19  (assume a8294 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B)))))
% 19.00/19.19  (assume a8295 (forall ((A tptp.int) (B 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) B)) (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 B)))))
% 19.00/19.19  (assume a8296 (= (tptp.abs_abs_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.00/19.19  (assume a8297 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 19.00/19.19  (assume a8298 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.00/19.19  (assume a8299 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 19.00/19.19  (assume a8300 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B)) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B A)))))
% 19.00/19.19  (assume a8301 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)))))
% 19.00/19.19  (assume a8302 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) A)))))
% 19.00/19.19  (assume a8303 (forall ((A tptp.int) (B 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) B)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)))))
% 19.00/19.19  (assume a8304 (forall ((X2 tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int X2) (tptp.aa_int_int tptp.abs_abs_int Y)) (or (= X2 Y) (= X2 (tptp.aa_int_int tptp.uminus_uminus_int Y))))))
% 19.00/19.19  (assume a8305 (forall ((X2 tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real X2) (tptp.aa_real_real tptp.abs_abs_real Y)) (or (= X2 Y) (= X2 (tptp.aa_real_real tptp.uminus_uminus_real Y))))))
% 19.00/19.19  (assume a8306 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat X2) (tptp.aa_rat_rat tptp.abs_abs_rat Y)) (or (= X2 Y) (= X2 (tptp.aa_rat_rat tptp.uminus_uminus_rat Y))))))
% 19.00/19.19  (assume a8307 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer X2) (tptp.abs_abs_Code_integer Y)) (or (= X2 Y) (= X2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))))))
% 19.00/19.19  (assume a8308 (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)))))
% 19.00/19.19  (assume a8309 (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)))))
% 19.00/19.19  (assume a8310 (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)))))
% 19.00/19.19  (assume a8311 (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)))))
% 19.00/19.19  (assume a8312 (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)))))
% 19.00/19.19  (assume a8313 (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)))))
% 19.00/19.19  (assume a8314 (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)))))
% 19.00/19.19  (assume a8315 (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)))))
% 19.00/19.19  (assume a8316 (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))))
% 19.00/19.19  (assume a8317 (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))))
% 19.00/19.19  (assume a8318 (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))))
% 19.00/19.19  (assume a8319 (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))))
% 19.00/19.19  (assume a8320 (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)))))
% 19.00/19.19  (assume a8321 (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)))))
% 19.00/19.19  (assume a8322 (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)))))
% 19.00/19.19  (assume a8323 (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)))))
% 19.00/19.19  (assume a8324 (forall ((A tptp.code_integer) (B 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 B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))))))
% 19.00/19.19  (assume a8325 (forall ((A tptp.real) (B 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) B))) (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 B))))))
% 19.00/19.19  (assume a8326 (forall ((A tptp.rat) (B 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.plus_plus_rat A) B))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 19.00/19.19  (assume a8327 (forall ((A tptp.int) (B 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) B))) (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 B))))))
% 19.00/19.19  (assume a8328 (forall ((A tptp.code_integer) (C tptp.code_integer) (B 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 B)) D)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))) (tptp.times_3573771949741848930nteger C D)))))))
% 19.00/19.19  (assume a8329 (forall ((A tptp.real) (C tptp.real) (B 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 B)) 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 B))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) D)))))))
% 19.00/19.19  (assume a8330 (forall ((A tptp.rat) (C tptp.rat) (B 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 B)) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.aa_rat_rat (tptp.times_times_rat C) D)))))))
% 19.00/19.19  (assume a8331 (forall ((A tptp.int) (C tptp.int) (B 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 B)) 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 B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D)))))))
% 19.00/19.19  (assume a8332 (forall ((A tptp.code_integer) (B 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 B))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B A))))))
% 19.00/19.19  (assume a8333 (forall ((A tptp.real) (B 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 B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))))))
% 19.00/19.19  (assume a8334 (forall ((A tptp.rat) (B 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 B))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B) A))))))
% 19.00/19.19  (assume a8335 (forall ((A tptp.int) (B 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 B))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))))
% 19.00/19.19  (assume a8336 (forall ((A tptp.code_integer) (B 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 B)))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B))))))
% 19.00/19.19  (assume a8337 (forall ((A tptp.real) (B 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 B)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))))))
% 19.00/19.19  (assume a8338 (forall ((A tptp.rat) (B 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 B)))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))))
% 19.00/19.19  (assume a8339 (forall ((A tptp.int) (B 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 B)))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 19.00/19.19  (assume a8340 (forall ((A tptp.code_integer) (B 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 B))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B))))))
% 19.00/19.19  (assume a8341 (forall ((A tptp.real) (B 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 B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))))))
% 19.00/19.19  (assume a8342 (forall ((A tptp.rat) (B 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 B))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B))))))
% 19.00/19.19  (assume a8343 (forall ((A tptp.int) (B 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 B))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 19.00/19.19  (assume a8344 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= B tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (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 B))))))
% 19.00/19.19  (assume a8345 (forall ((B tptp.real) (A tptp.real)) (=> (not (= B 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) B)) (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 B))))))
% 19.00/19.19  (assume a8346 (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)))))
% 19.00/19.19  (assume a8347 (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)))))
% 19.00/19.19  (assume a8348 (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)))))
% 19.00/19.19  (assume a8349 (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)))))
% 19.00/19.19  (assume a8350 (forall ((A tptp.real) (B 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)) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))))
% 19.00/19.19  (assume a8351 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B))))))
% 19.00/19.19  (assume a8352 (forall ((A tptp.rat) (B 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)) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (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)) B))))))
% 19.00/19.19  (assume a8353 (forall ((A tptp.int) (B 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)) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (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)) B))))))
% 19.00/19.19  (assume a8354 (forall ((A tptp.real) (B 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)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)))))
% 19.00/19.19  (assume a8355 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)))))
% 19.00/19.19  (assume a8356 (forall ((A tptp.rat) (B 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)) B)) (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)) B)))))
% 19.00/19.19  (assume a8357 (forall ((A tptp.int) (B 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)) B)) (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)) B)))))
% 19.00/19.19  (assume a8358 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B))))))
% 19.00/19.19  (assume a8359 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B))))))
% 19.00/19.19  (assume a8360 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (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)) B)) (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)) B))))))
% 19.00/19.19  (assume a8361 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (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)) B)) (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)) B))))))
% 19.00/19.19  (assume a8362 (forall ((A tptp.int) (B 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)) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (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)) B))))))
% 19.00/19.19  (assume a8363 (forall ((A tptp.real) (B 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)) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))))
% 19.00/19.19  (assume a8364 (forall ((A tptp.rat) (B 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)) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (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)) B))))))
% 19.00/19.19  (assume a8365 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B))))))
% 19.00/19.19  (assume a8366 (forall ((X2 tptp.real)) (=> (forall ((E tptp.real)) (=> (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 (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X2)) E)))) (= X2 tptp.zero_zero_real))))
% 19.00/19.19  (assume a8367 (forall ((X2 tptp.rat)) (=> (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)) (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 X2)) E)))) (= X2 tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8368 (forall ((A tptp.code_integer) (B 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) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) tptp.zero_z3403309356797280102nteger)))) (= (tptp.abs_abs_Code_integer (tptp.times_3573771949741848930nteger A B)) (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))))))
% 19.00/19.19  (assume a8369 (forall ((A tptp.real) (B 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) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) 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) B)) (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 B))))))
% 19.00/19.19  (assume a8370 (forall ((A tptp.rat) (B 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) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)))) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 19.00/19.19  (assume a8371 (forall ((A tptp.int) (B 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) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) 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) B)) (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 B))))))
% 19.00/19.19  (assume a8372 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X2)) (= (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer Y) X2) (tptp.abs_abs_Code_integer (tptp.times_3573771949741848930nteger Y X2))))))
% 19.00/19.19  (assume a8373 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real Y)) X2) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X2))))))
% 19.00/19.19  (assume a8374 (forall ((X2 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) X2)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat Y)) X2) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.times_times_rat Y) X2))))))
% 19.00/19.19  (assume a8375 (forall ((X2 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) X2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int Y)) X2) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X2))))))
% 19.00/19.19  (assume a8376 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.abs_abs_real B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (or (= B A) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))))
% 19.00/19.19  (assume a8377 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.abs_abs_Code_integer B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (or (= B A) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))))
% 19.00/19.19  (assume a8378 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.abs_abs_rat B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (or (= B A) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))))
% 19.00/19.19  (assume a8379 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.abs_abs_int B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (or (= B A) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))))
% 19.00/19.19  (assume a8380 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) B) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (or (= A B) (= A (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 19.00/19.19  (assume a8381 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) B) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B)) (or (= A B) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))))
% 19.00/19.19  (assume a8382 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (or (= A B) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 19.00/19.19  (assume a8383 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (or (= A B) (= A (tptp.aa_int_int tptp.uminus_uminus_int B)))))))
% 19.00/19.19  (assume a8384 (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))))
% 19.00/19.19  (assume a8385 (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))))
% 19.00/19.19  (assume a8386 (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))))
% 19.00/19.19  (assume a8387 (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))))
% 19.00/19.19  (assume a8388 (forall ((Y tptp.rat) (X2 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 X2)) Y) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X2) Y))))))
% 19.00/19.19  (assume a8389 (forall ((Y tptp.real) (X2 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 X2)) Y) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X2) Y))))))
% 19.00/19.19  (assume a8390 (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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N)))))
% 19.00/19.19  (assume a8391 (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.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)))))
% 19.00/19.19  (assume a8392 (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)))))
% 19.00/19.19  (assume a8393 (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)))))
% 19.00/19.19  (assume a8394 (forall ((X tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int X) (tptp.aa_int_int tptp.uminus_uminus_int X))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.abs_abs_int X) X)))))
% 19.00/19.19  (assume a8395 (forall ((X tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real X) (tptp.aa_real_real tptp.uminus_uminus_real X))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real))) (= (tptp.aa_real_real tptp.abs_abs_real X) X)))))
% 19.00/19.19  (assume a8396 (forall ((X tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat X))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat tptp.abs_abs_rat X) X)))))
% 19.00/19.19  (assume a8397 (forall ((X tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer X) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer X) X)))))
% 19.00/19.19  (assume a8398 (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)))))
% 19.00/19.19  (assume a8399 (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)))))
% 19.00/19.19  (assume a8400 (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)))))
% 19.00/19.19  (assume a8401 (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)))))
% 19.00/19.19  (assume a8402 (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)))))
% 19.00/19.19  (assume a8403 (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)))))
% 19.00/19.19  (assume a8404 (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)))))
% 19.00/19.19  (assume a8405 (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)))))
% 19.00/19.19  (assume a8406 (forall ((X2 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 X2 A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger A R2)) X2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X2) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 19.00/19.19  (assume a8407 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R2)))))))
% 19.00/19.19  (assume a8408 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) (tptp.aa_rat_rat (tptp.plus_plus_rat A) R2)))))))
% 19.00/19.19  (assume a8409 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 19.00/19.19  (assume a8410 (forall ((A tptp.code_integer) (B 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 B) (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 B D)))))))
% 19.00/19.19  (assume a8411 (forall ((A tptp.real) (B 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) B)) (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 B) D)))))))
% 19.00/19.19  (assume a8412 (forall ((A tptp.rat) (B 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.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.plus_plus_rat C) D)))) (tptp.aa_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 B) D)))))))
% 19.00/19.19  (assume a8413 (forall ((A tptp.int) (B 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) B)) (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 B) D)))))))
% 19.00/19.19  (assume a8414 (forall ((A tptp.code_integer) (B 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 B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))))))
% 19.00/19.19  (assume a8415 (forall ((A tptp.real) (B 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) B))) (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 B))))))
% 19.00/19.19  (assume a8416 (forall ((A tptp.rat) (B 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) B))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 19.00/19.19  (assume a8417 (forall ((A tptp.int) (B 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) B))) (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 B))))))
% 19.00/19.19  (assume a8418 (forall ((X2 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 X2 A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.minus_8373710615458151222nteger A R2)) X2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X2) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 19.00/19.19  (assume a8419 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R2)))))))
% 19.00/19.19  (assume a8420 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) (tptp.aa_rat_rat (tptp.plus_plus_rat A) R2)))))))
% 19.00/19.19  (assume a8421 (forall ((X2 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 X2) 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)) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 19.00/19.19  (assume a8422 (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))))))
% 19.00/19.19  (assume a8423 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_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.gbinomial_real A) K)) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K))))))
% 19.00/19.19  (assume a8424 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_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))))))
% 19.00/19.19  (assume a8425 (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)))))
% 19.00/19.19  (assume a8426 (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.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K) (tptp.aa_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))))))
% 19.00/19.19  (assume a8427 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N7 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N2)) (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 N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_yr F))))))
% 19.00/19.19  (assume a8428 (forall ((X2 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 X2))))))
% 19.00/19.19  (assume a8429 (forall ((X2 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 X2))))))
% 19.00/19.19  (assume a8430 (forall ((X2 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.plus_plus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.abs_abs_rat X2))))))
% 19.00/19.19  (assume a8431 (forall ((X2 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 X2))))))
% 19.00/19.19  (assume a8432 (forall ((N tptp.int) (X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger N))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8433 (forall ((N tptp.int) (X2 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))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8434 (forall ((N tptp.int) (X2 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))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8435 (forall ((N tptp.int) (X2 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))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8436 (forall ((N tptp.int) (X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger N))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8437 (forall ((N tptp.int) (X2 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))) X2)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2))))))
% 19.00/19.19  (assume a8438 (forall ((N tptp.int) (X2 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))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8439 (forall ((N tptp.int) (X2 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))) X2)) (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) X2))))))
% 19.00/19.19  (assume a8440 (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)))))
% 19.00/19.19  (assume a8441 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_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.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.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 19.00/19.19  (assume a8442 (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.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)))))
% 19.00/19.19  (assume a8443 (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.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.gbinomial_real A) K))))))
% 19.00/19.19  (assume a8444 (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))))))
% 19.00/19.19  (assume a8445 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) A) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_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.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)))))))
% 19.00/19.19  (assume a8446 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_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.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.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.00/19.19  (assume a8447 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_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.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)))))))
% 19.00/19.19  (assume a8448 (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.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.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.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.00/19.19  (assume a8449 (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)))))))
% 19.00/19.19  (assume a8450 (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)))))))
% 19.00/19.19  (assume a8451 (forall ((X2 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 X2)) (tptp.abs_abs_Code_integer Y))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8452 (forall ((X2 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 X2)) (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8453 (forall ((X2 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 X2)) (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 X2) (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))))))))
% 19.00/19.19  (assume a8454 (forall ((X2 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 X2)) (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 X2) (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))))))))
% 19.00/19.19  (assume a8455 (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)))))
% 19.00/19.19  (assume a8456 (forall ((K tptp.nat) (A tptp.rat)) (= (tptp.aa_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.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)))))
% 19.00/19.19  (assume a8457 (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.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.gbinomial_real A) K)))))
% 19.00/19.19  (assume a8458 (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.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.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)))))))
% 19.00/19.19  (assume a8459 (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.gbinomial_real A) M)) (tptp.aa_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.gbinomial_real A) K)) (tptp.aa_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)))))))
% 19.00/19.19  (assume a8460 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_ys A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) tptp.one_one_complex)) N))))
% 19.00/19.19  (assume a8461 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_yt A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) tptp.one_one_rat)) N))))
% 19.00/19.19  (assume a8462 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_yu A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_real (tptp.gbinomial_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) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.one_one_real)) N))))
% 19.00/19.19  (assume a8463 (forall ((Y tptp.code_integer) (X2 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.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Code_integer (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 X2)) Y))))))
% 19.00/19.19  (assume a8464 (forall ((Y tptp.real) (X2 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 X2)) Y))))))
% 19.00/19.19  (assume a8465 (forall ((Y tptp.rat) (X2 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 X2) (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 X2)) Y))))))
% 19.00/19.19  (assume a8466 (forall ((Y tptp.int) (X2 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 X2) (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 X2)) Y))))))
% 19.00/19.19  (assume a8467 (forall ((P tptp.fun_Co8310303586393106575r_bool) (X2 tptp.code_integer)) (=> (forall ((X4 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool P X4) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X4) (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 X2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8468 (forall ((P tptp.fun_re1255401033344146673l_bool) (X2 tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P X4) (tptp.aa_nat_real (tptp.power_power_real X4) (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 X2)) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8469 (forall ((P tptp.fun_rat_fun_rat_bool) (X2 tptp.rat)) (=> (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P X4) (tptp.aa_nat_rat (tptp.power_power_rat X4) (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 X2)) (tptp.aa_nat_rat (tptp.power_power_rat X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8470 (forall ((P tptp.fun_int_fun_int_bool) (X2 tptp.int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P X4) (tptp.aa_nat_int (tptp.power_power_int X4) (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 X2)) (tptp.aa_nat_int (tptp.power_power_int X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.00/19.19  (assume a8471 (forall ((X2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (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 X2)) tptp.one_one_Code_integer)))))
% 19.00/19.19  (assume a8472 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X2) (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 X2)) tptp.one_one_real)))))
% 19.00/19.19  (assume a8473 (forall ((X2 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 X2) (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 X2)) tptp.one_one_rat)))))
% 19.00/19.19  (assume a8474 (forall ((X2 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 X2) (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 X2)) tptp.one_one_int)))))
% 19.00/19.19  (assume a8475 (forall ((X2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X2) (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 X2)) tptp.one_one_Code_integer)))))
% 19.00/19.19  (assume a8476 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X2) (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 X2)) tptp.one_one_real)))))
% 19.00/19.19  (assume a8477 (forall ((X2 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 X2) (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 X2)) tptp.one_one_rat)))))
% 19.00/19.19  (assume a8478 (forall ((X2 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 X2) (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 X2)) tptp.one_one_int)))))
% 19.00/19.19  (assume a8479 (forall ((N tptp.nat) (A tptp.code_integer) (B 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 B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger B) N)))))))
% 19.00/19.19  (assume a8480 (forall ((N tptp.nat) (A tptp.real) (B 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 B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 19.00/19.19  (assume a8481 (forall ((N tptp.nat) (A tptp.rat) (B 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 B))) (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 B) N)))))))
% 19.00/19.19  (assume a8482 (forall ((N tptp.nat) (A tptp.int) (B 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 B))) (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 B) N)))))))
% 19.00/19.19  (assume a8483 (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)))))))
% 19.00/19.19  (assume a8484 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_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.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K)))))))
% 19.00/19.19  (assume a8485 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_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.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)))))))
% 19.00/19.19  (assume a8486 (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)))))
% 19.00/19.19  (assume a8487 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_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)))))
% 19.00/19.19  (assume a8488 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_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.gbinomial_real A) K)))))
% 19.00/19.19  (assume a8489 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_Code_integer) (A tptp.fun_nat_Code_integer) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer X2 I3))))) (=> (= (tptp.groups7501900531339628137nteger X2 I6) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups7501900531339628137nteger (tptp.aa_fun589076786913273746nteger (tptp.aTP_Lamm_yv X2) A) I6) B))) Delta)))))))
% 19.00/19.19  (assume a8490 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VE9219535225822561060nteger) (A tptp.fun_VE9219535225822561060nteger) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_VEB5935388676523804373nteger X2 I3))))) (=> (= (tptp.groups5748017345553531991nteger X2 I6) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_VEB5935388676523804373nteger A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups5748017345553531991nteger (tptp.aa_fun2400605388621188028nteger (tptp.aTP_Lamm_yw X2) A) I6) B))) Delta)))))))
% 19.00/19.19  (assume a8491 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_Code_integer) (A tptp.fun_int_Code_integer) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_int_Code_integer X2 I3))))) (=> (= (tptp.groups7873554091576472773nteger X2 I6) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_int_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups7873554091576472773nteger (tptp.aa_fun5304498221708291146nteger (tptp.aTP_Lamm_yx X2) A) I6) B))) Delta)))))))
% 19.00/19.19  (assume a8492 (forall ((I6 tptp.set_real) (X2 tptp.fun_re6978948838062957830nteger) (A tptp.fun_re6978948838062957830nteger) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_real_Code_integer X2 I3))))) (=> (= (tptp.groups7713935264441627589nteger X2 I6) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_real_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups7713935264441627589nteger (tptp.aa_fun7923231501384339402nteger (tptp.aTP_Lamm_yy X2) A) I6) B))) Delta)))))))
% 19.00/19.19  (assume a8493 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VEBT_VEBT_real) (A tptp.fun_VEBT_VEBT_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_VEBT_VEBT_real X2 I3))))) (=> (= (tptp.groups2240296850493347238T_real X2 I6) tptp.one_one_real) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (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_VEBT_VEBT_real A I3)) B))) Delta)))) (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.groups2240296850493347238T_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_yz X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8494 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_real) (A tptp.fun_int_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real X2 I3))))) (=> (= (tptp.groups8778361861064173332t_real X2 I6) tptp.one_one_real) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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 A I3)) B))) Delta)))) (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.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_za X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8495 (forall ((I6 tptp.set_real) (X2 tptp.fun_real_real) (A tptp.fun_real_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real X2 I3))))) (=> (= (tptp.groups8097168146408367636l_real X2 I6) tptp.one_one_real) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I6)) (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 A I3)) B))) Delta)))) (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.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zb X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8496 (forall ((I6 tptp.set_nat) (X2 tptp.fun_nat_rat) (A tptp.fun_nat_rat) (B tptp.rat) (Delta tptp.rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (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 X2 I3))))) (=> (= (tptp.groups2906978787729119204at_rat X2 I6) tptp.one_one_rat) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I6)) (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_nat_rat A I3)) B))) Delta)))) (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.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_zc X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8497 (forall ((I6 tptp.set_VEBT_VEBT) (X2 tptp.fun_VEBT_VEBT_rat) (A tptp.fun_VEBT_VEBT_rat) (B tptp.rat) (Delta tptp.rat)) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_VEBT_VEBT_rat X2 I3))))) (=> (= (tptp.groups136491112297645522BT_rat X2 I6) tptp.one_one_rat) (=> (forall ((I3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT I3) I6)) (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_VEBT_VEBT_rat A I3)) B))) Delta)))) (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.groups136491112297645522BT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_zd X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8498 (forall ((I6 tptp.set_int) (X2 tptp.fun_int_rat) (A tptp.fun_int_rat) (B tptp.rat) (Delta tptp.rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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 X2 I3))))) (=> (= (tptp.groups3906332499630173760nt_rat X2 I6) tptp.one_one_rat) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I6)) (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 A I3)) B))) Delta)))) (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.groups3906332499630173760nt_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aTP_Lamm_ze X2) A) I6)) B))) Delta)))))))
% 19.00/19.19  (assume a8499 (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)))))
% 19.00/19.19  (assume a8500 (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.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.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K)))))
% 19.00/19.19  (assume a8501 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_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)))))
% 19.00/19.19  (assume a8502 (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))))))
% 19.00/19.19  (assume a8503 (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.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_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.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K))))))
% 19.00/19.19  (assume a8504 (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.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))))))
% 19.00/19.19  (assume a8505 (forall ((X2 tptp.real) (K5 tptp.real) (C tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X2)) K5)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X4)) K5)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts C) X4)))) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_zf X2) C))))))
% 19.00/19.19  (assume a8506 (forall ((X2 tptp.complex) (K5 tptp.real) (C tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X2)) K5)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X4)) K5)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj C) X4)))) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_zg X2) C))))))
% 19.00/19.19  (assume a8507 (forall ((M tptp.nat) (A tptp.complex) (X2 tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zh M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zi M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8508 (forall ((M tptp.nat) (A tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zj M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zk M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8509 (forall ((M tptp.nat) (A tptp.real) (X2 tptp.real) (Y tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zl M) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zm M) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8510 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_zn K) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) tptp.one_one_nat)))))
% 19.00/19.19  (assume a8511 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_zo K) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) tptp.one_one_nat)))))
% 19.00/19.19  (assume a8512 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_zp K)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat N)) (tptp.aa_nat_real (tptp.gbinomial_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_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) tptp.one_one_nat)))))
% 19.00/19.19  (assume a8513 (forall ((X2 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 X2))) X2))) (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)))))))
% 19.00/19.19  (assume a8514 (forall ((X2 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 X2))) X2))) (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)))))))
% 19.00/19.19  (assume a8515 (forall ((X2 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 X2) (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 X2) N))))
% 19.00/19.19  (assume a8516 (forall ((X2 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 X2) (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 X2) N))))
% 19.00/19.19  (assume a8517 (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)))))))
% 19.00/19.19  (assume a8518 (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.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)))))))
% 19.00/19.19  (assume a8519 (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.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.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)))))))
% 19.00/19.19  (assume a8520 (forall ((X2 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 X2)) (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))
% 19.00/19.19  (assume a8521 (forall ((M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_zq M) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) M))))
% 19.00/19.19  (assume a8522 (forall ((M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_zr M)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) M))))
% 19.00/19.19  (assume a8523 (forall ((M tptp.nat) (A tptp.complex) (X2 tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zh M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zs M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8524 (forall ((M tptp.nat) (A tptp.rat) (X2 tptp.rat) (Y tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zj M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zt M) A) X2) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8525 (forall ((M tptp.nat) (A tptp.real) (X2 tptp.real) (Y tptp.real)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zl M) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zu M) A) X2) Y)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 19.00/19.19  (assume a8526 (forall ((R2 tptp.rat) (M tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_yk R2) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat M)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.gbinomial_rat R2) (tptp.aa_nat_nat tptp.suc M))))))
% 19.00/19.19  (assume a8527 (forall ((R2 tptp.real) (M tptp.nat)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_yl R2)) (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat M)) (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.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.gbinomial_real R2) (tptp.aa_nat_nat tptp.suc M))))))
% 19.00/19.19  (assume a8528 (forall ((A tptp.real) (X2 tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) B)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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 X2) Y3))) D4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y3) B)))))))))))
% 19.00/19.19  (assume a8529 (forall ((X2 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 X2)) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aTP_Lamm_zv X2)))))
% 19.00/19.19  (assume a8530 (forall ((X2 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 X2)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arctan X2) (tptp.suminf_real (tptp.aTP_Lamm_yi X2))))))
% 19.00/19.19  (assume a8531 (forall ((A tptp.real) (X2 tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) B)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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 X2) Y3))) D4)) (and (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) B)))))))))))
% 19.00/19.19  (assume a8532 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) 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 X2)) (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))) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.00/19.19  (assume a8533 (forall ((X2 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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)))))
% 19.00/19.19  (assume a8534 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8535 (forall ((X2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X2) tptp.one_one_int)) (= (tptp.aa_int_int tptp.abs_abs_int X2) tptp.one_one_int))))
% 19.00/19.19  (assume a8536 (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))))
% 19.00/19.19  (assume a8537 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.abs_abs_int B))))))
% 19.00/19.19  (assume a8538 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X2)) (tptp.aa_real_real tptp.arctan Y))))))
% 19.00/19.19  (assume a8539 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.19  (assume a8540 (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))))
% 19.00/19.19  (assume a8541 (forall ((S2 tptp.set_int)) (= (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (forall ((M4 tptp.int)) (exists ((N3 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int M4) (tptp.aa_int_int tptp.abs_abs_int N3))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int N3) S2))))))))
% 19.00/19.19  (assume a8542 (forall ((S2 tptp.set_int)) (= (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (forall ((M4 tptp.int)) (exists ((N3 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int M4) (tptp.aa_int_int tptp.abs_abs_int N3))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int N3) S2))))))))
% 19.00/19.19  (assume a8543 (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)))))
% 19.00/19.19  (assume a8544 (forall ((I tptp.int) (D tptp.int)) (=> (not (= I tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) I)) (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 D)) (tptp.aa_int_int tptp.abs_abs_int I)))))))
% 19.00/19.19  (assume a8545 (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.modulo_modulo_int K) L))) (tptp.aa_int_int tptp.abs_abs_int L))))))
% 19.00/19.19  (assume a8546 (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)))))
% 19.00/19.19  (assume a8547 (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)))))))))
% 19.00/19.19  (assume a8548 (forall ((D tptp.int) (X2 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 X2) (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 X2) Z))) tptp.one_one_int)) D))) Z)))))
% 19.00/19.19  (assume a8549 (forall ((D tptp.int) (Z tptp.int) (X2 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 X2) (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 X2) Z))) tptp.one_one_int)) D)))))))
% 19.00/19.19  (assume a8550 (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)))))))
% 19.00/19.19  (assume a8551 (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))))))))
% 19.00/19.19  (assume a8552 (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)))))
% 19.00/19.19  (assume a8553 (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))))))))
% 19.00/19.19  (assume a8554 (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))))))))
% 19.00/19.19  (assume a8555 (forall ((X2 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 X2)) 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 X2)) (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 X2) 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 X2) Y)))))))))
% 19.00/19.19  (assume a8556 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M3)) (tptp.aa_nat_real X6 N2))))) (tptp.topolo6980174941875973593q_real X6))))
% 19.00/19.19  (assume a8557 (forall ((X6 tptp.fun_nat_set_int)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 M3)) (tptp.aa_nat_set_int X6 N2))))) (tptp.topolo3100542954746470799et_int X6))))
% 19.00/19.19  (assume a8558 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 M3)) (tptp.aa_nat_rat X6 N2))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 19.00/19.19  (assume a8559 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M3)) (tptp.aa_nat_num X6 N2))))) (tptp.topolo1459490580787246023eq_num X6))))
% 19.00/19.19  (assume a8560 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M3)) (tptp.aa_nat_nat X6 N2))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 19.00/19.19  (assume a8561 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M3)) (tptp.aa_nat_int X6 N2))))) (tptp.topolo4899668324122417113eq_int X6))))
% 19.00/19.19  (assume a8562 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N2)) (tptp.aa_nat_real X6 M3))))) (tptp.topolo6980174941875973593q_real X6))))
% 19.00/19.19  (assume a8563 (forall ((X6 tptp.fun_nat_set_int)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 N2)) (tptp.aa_nat_set_int X6 M3))))) (tptp.topolo3100542954746470799et_int X6))))
% 19.00/19.19  (assume a8564 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N2)) (tptp.aa_nat_rat X6 M3))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 19.00/19.19  (assume a8565 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N2)) (tptp.aa_nat_num X6 M3))))) (tptp.topolo1459490580787246023eq_num X6))))
% 19.00/19.19  (assume a8566 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N2)) (tptp.aa_nat_nat X6 M3))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 19.00/19.19  (assume a8567 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M3 tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M3) N2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N2)) (tptp.aa_nat_int X6 M3))))) (tptp.topolo4899668324122417113eq_int X6))))
% 19.00/19.19  (assume a8568 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (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 X6 M4)) (tptp.aa_nat_real X6 N3))))) (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 X6 N3)) (tptp.aa_nat_real X6 M4)))))))))
% 19.00/19.19  (assume a8569 (forall ((X6 tptp.fun_nat_set_int)) (= (tptp.topolo3100542954746470799et_int X6) (or (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_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 M4)) (tptp.aa_nat_set_int X6 N3))))) (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_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 N3)) (tptp.aa_nat_set_int X6 M4)))))))))
% 19.00/19.19  (assume a8570 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.topolo4267028734544971653eq_rat X6) (or (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_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 M4)) (tptp.aa_nat_rat X6 N3))))) (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_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N3)) (tptp.aa_nat_rat X6 M4)))))))))
% 19.00/19.19  (assume a8571 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (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_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M4)) (tptp.aa_nat_num X6 N3))))) (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_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N3)) (tptp.aa_nat_num X6 M4)))))))))
% 19.00/19.19  (assume a8572 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M4)) (tptp.aa_nat_nat X6 N3))))) (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N3)) (tptp.aa_nat_nat X6 M4)))))))))
% 19.00/19.19  (assume a8573 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M4)) (tptp.aa_nat_int X6 N3))))) (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N3)) (tptp.aa_nat_int X6 M4)))))))))
% 19.00/19.19  (assume a8574 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N3)) (tptp.aa_nat_real X6 (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 X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real X6 N3))))))))
% 19.00/19.19  (assume a8575 (forall ((X6 tptp.fun_nat_set_int)) (= (tptp.topolo3100542954746470799et_int X6) (or (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 N3)) (tptp.aa_nat_set_int X6 (tptp.aa_nat_nat tptp.suc N3))))) (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_set_int X6 N3))))))))
% 19.00/19.19  (assume a8576 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.topolo4267028734544971653eq_rat X6) (or (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 X6 N3)) (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N3))))) (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 X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_rat X6 N3))))))))
% 19.00/19.19  (assume a8577 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (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 X6 N3)) (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N3))))) (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 X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_num X6 N3))))))))
% 19.00/19.19  (assume a8578 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (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 X6 N3)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N3))))) (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 X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_nat X6 N3))))))))
% 19.00/19.19  (assume a8579 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (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 X6 N3)) (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N3))))) (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 X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_int X6 N3))))))))
% 19.00/19.19  (assume a8580 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real X6 N2)))) (tptp.topolo6980174941875973593q_real X6))))
% 19.00/19.19  (assume a8581 (forall ((X6 tptp.fun_nat_set_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_set_int X6 N2)))) (tptp.topolo3100542954746470799et_int X6))))
% 19.00/19.19  (assume a8582 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_rat X6 N2)))) (tptp.topolo4267028734544971653eq_rat X6))))
% 19.00/19.19  (assume a8583 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_num X6 N2)))) (tptp.topolo1459490580787246023eq_num X6))))
% 19.00/19.19  (assume a8584 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_nat X6 N2)))) (tptp.topolo4902158794631467389eq_nat X6))))
% 19.00/19.19  (assume a8585 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_int X6 N2)))) (tptp.topolo4899668324122417113eq_int X6))))
% 19.00/19.19  (assume a8586 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N2)) (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo6980174941875973593q_real X6))))
% 19.00/19.19  (assume a8587 (forall ((X6 tptp.fun_nat_set_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.aa_nat_set_int X6 N2)) (tptp.aa_nat_set_int X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo3100542954746470799et_int X6))))
% 19.00/19.19  (assume a8588 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N2)) (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 19.00/19.19  (assume a8589 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N2)) (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo1459490580787246023eq_num X6))))
% 19.00/19.19  (assume a8590 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N2)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 19.00/19.19  (assume a8591 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N2)) (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4899668324122417113eq_int X6))))
% 19.00/19.19  (assume a8592 (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_zw 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)))))))
% 19.00/19.19  (assume a8593 (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_zx 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)))))))
% 19.00/19.19  (assume a8594 (forall ((K tptp.nat) (A tptp.real)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.gbinomial_real A) K) tptp.one_one_real)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_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_zy 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)))))))
% 19.00/19.19  (assume a8595 (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)))))))))
% 19.00/19.19  (assume a8596 (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.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.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.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)))))))))))
% 19.00/19.19  (assume a8597 (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.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.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.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)))))))))))))
% 19.00/19.19  (assume a8598 (forall ((L tptp.num) (K tptp.num)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_num_nat tptp.numeral_numeral_nat L) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 K))) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger (tptp.aa_num_nat tptp.pred_numeral L) (tptp.numera6620942414471956472nteger K)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 19.00/19.19  (assume a8599 (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))))
% 19.00/19.19  (assume a8600 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_nat_fun_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))))
% 19.00/19.19  (assume a8601 (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))))
% 19.00/19.19  (assume a8602 (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))))
% 19.00/19.19  (assume a8603 (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))))
% 19.00/19.19  (assume a8604 (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))))
% 19.00/19.19  (assume a8605 (forall ((A tptp.code_integer)) (= (tptp.sgn_sgn_Code_integer (tptp.sgn_sgn_Code_integer A)) (tptp.sgn_sgn_Code_integer A))))
% 19.00/19.19  (assume a8606 (= (tptp.sgn_sgn_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.00/19.19  (assume a8607 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.00/19.19  (assume a8608 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.19  (assume a8609 (= (tptp.aa_rat_rat tptp.sgn_sgn_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.00/19.19  (assume a8610 (= (tptp.aa_int_int tptp.sgn_sgn_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.00/19.19  (assume a8611 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.00/19.19  (assume a8612 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.00/19.19  (assume a8613 (= (tptp.aa_int_int tptp.sgn_sgn_int tptp.one_one_int) tptp.one_one_int))
% 19.00/19.19  (assume a8614 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.one_one_real) tptp.one_one_real))
% 19.00/19.19  (assume a8615 (= (tptp.aa_rat_rat tptp.sgn_sgn_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.00/19.19  (assume a8616 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.one_one_complex) tptp.one_one_complex))
% 19.00/19.19  (assume a8617 (= (tptp.sgn_sgn_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.00/19.19  (assume a8618 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B)) (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 B)))))
% 19.00/19.19  (assume a8619 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.aa_complex_complex tptp.sgn_sgn_complex B)))))
% 19.00/19.19  (assume a8620 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) (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 B)))))
% 19.00/19.19  (assume a8621 (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)))))
% 19.00/19.19  (assume a8622 (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)))))
% 19.00/19.19  (assume a8623 (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)))))
% 19.00/19.19  (assume a8624 (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)))))
% 19.00/19.19  (assume a8625 (forall ((A tptp.code_integer)) (= (tptp.sgn_sgn_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.sgn_sgn_Code_integer A)))))
% 19.00/19.19  (assume a8626 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (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)))))
% 19.00/19.19  (assume a8627 (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)))))
% 19.00/19.19  (assume a8628 (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)))))
% 19.00/19.19  (assume a8629 (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)))))
% 19.00/19.19  (assume a8630 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.sgn_sgn_Code_integer A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.00/19.19  (assume a8631 (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)))))
% 19.00/19.19  (assume a8632 (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)))))
% 19.00/19.19  (assume a8633 (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)))))
% 19.00/19.19  (assume a8634 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.sgn_sgn_rat B)) (tptp.aa_rat_rat (tptp.times_times_rat A) (tptp.aa_rat_rat tptp.sgn_sgn_rat B)))))
% 19.00/19.19  (assume a8635 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.sgn_sgn_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.sgn_sgn_real B)))))
% 19.00/19.19  (assume a8636 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex tptp.zero_zero_nat) tptp.one_one_complex))
% 19.00/19.19  (assume a8637 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat tptp.zero_zero_nat) tptp.one_one_rat))
% 19.00/19.19  (assume a8638 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int tptp.zero_zero_nat) tptp.one_one_int))
% 19.00/19.19  (assume a8639 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 19.00/19.19  (assume a8640 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real tptp.zero_zero_nat) tptp.one_one_real))
% 19.00/19.19  (assume a8641 (= (tptp.aa_num_nat tptp.pred_numeral tptp.one) tptp.zero_zero_nat))
% 19.00/19.19  (assume a8642 (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))))
% 19.00/19.19  (assume a8643 (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)))))
% 19.00/19.19  (assume a8644 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.sgn_sgn_Code_integer A) tptp.one_one_Code_integer))))
% 19.00/19.19  (assume a8645 (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))))
% 19.00/19.19  (assume a8646 (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))))
% 19.00/19.19  (assume a8647 (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))))
% 19.00/19.19  (assume a8648 (forall ((A tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer (tptp.sgn_sgn_Code_integer A)) tptp.one_one_Code_integer))))
% 19.00/19.19  (assume a8649 (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))))
% 19.00/19.19  (assume a8650 (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))))
% 19.00/19.19  (assume a8651 (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))))
% 19.00/19.19  (assume a8652 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_complex))
% 19.00/19.19  (assume a8653 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_rat))
% 19.00/19.19  (assume a8654 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 19.00/19.19  (assume a8655 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 19.00/19.19  (assume a8656 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_real))
% 19.00/19.19  (assume a8657 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.sgn_sgn_Code_integer A) (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))))))
% 19.00/19.19  (assume a8658 (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))))))
% 19.00/19.19  (assume a8659 (forall ((A tptp.rat)) (= (tptp.aa_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))))))
% 19.00/19.19  (assume a8660 (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))))))
% 19.00/19.19  (assume a8661 (forall ((A tptp.code_integer)) (= (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))))))
% 19.00/19.19  (assume a8662 (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.aa_com1553036987509291606x_bool tptp.fequal_complex A) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a8663 (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))))))
% 19.00/19.19  (assume a8664 (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))))))
% 19.00/19.19  (assume a8665 (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))))))
% 19.00/19.19  (assume a8666 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (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))))))
% 19.00/19.19  (assume a8667 (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.aa_com1553036987509291606x_bool tptp.fequal_complex A) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a8668 (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))))))
% 19.00/19.19  (assume a8669 (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))))))
% 19.00/19.19  (assume a8670 (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))))))
% 19.00/19.19  (assume a8671 (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))))))
% 19.00/19.19  (assume a8672 (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)))))
% 19.00/19.19  (assume a8673 (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)))))
% 19.00/19.19  (assume a8674 (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))))))
% 19.00/19.19  (assume a8675 (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)))))
% 19.00/19.19  (assume a8676 (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))))
% 19.00/19.19  (assume a8677 (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)))))
% 19.00/19.19  (assume a8678 (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)))))
% 19.00/19.19  (assume a8679 (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)))))
% 19.00/19.19  (assume a8680 (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))))))
% 19.00/19.19  (assume a8681 (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))))))
% 19.00/19.19  (assume a8682 (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)))))
% 19.00/19.19  (assume a8683 (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))))))
% 19.00/19.19  (assume a8684 (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)))))
% 19.00/19.19  (assume a8685 (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)))))
% 19.00/19.19  (assume a8686 (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)))))
% 19.00/19.19  (assume a8687 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.sgn_sgn_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.00/19.19  (assume a8688 (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)))))
% 19.00/19.19  (assume a8689 (forall ((N tptp.nat)) (= (tptp.sgn_sgn_Code_integer (tptp.aa_nat_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)))))
% 19.00/19.19  (assume a8690 (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)))))
% 19.00/19.19  (assume a8691 (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)))))
% 19.00/19.19  (assume a8692 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8693 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8694 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) tptp.zero_zero_int))))
% 19.00/19.19  (assume a8695 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a8696 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) tptp.zero_zero_real))))
% 19.00/19.19  (assume a8697 (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))))))
% 19.00/19.19  (assume a8698 (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)))))
% 19.00/19.19  (assume a8699 (forall ((X2 tptp.complex)) (= (= (tptp.aa_complex_complex tptp.sgn_sgn_complex X2) tptp.zero_zero_complex) (= X2 tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8700 (forall ((X2 tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_real))))
% 19.00/19.19  (assume a8701 (forall ((A tptp.code_integer)) (= (= (tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8702 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.sgn_sgn_complex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.00/19.19  (assume a8703 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.00/19.19  (assume a8704 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8705 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.00/19.19  (assume a8706 (forall ((A tptp.code_integer)) (= (= (tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a8707 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.00/19.19  (assume a8708 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.00/19.19  (assume a8709 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.00/19.19  (assume a8710 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (= (tptp.sgn_sgn_Code_integer B) (tptp.sgn_sgn_Code_integer A)) (= (tptp.sgn_sgn_Code_integer (tptp.plus_p5714425477246183910nteger A B)) (tptp.sgn_sgn_Code_integer A)))))
% 19.00/19.19  (assume a8711 (forall ((B tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real tptp.sgn_sgn_real B) (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) B)) (tptp.aa_real_real tptp.sgn_sgn_real A)))))
% 19.00/19.19  (assume a8712 (forall ((B tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)))))
% 19.00/19.19  (assume a8713 (forall ((B tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int B) (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) B)) (tptp.aa_int_int tptp.sgn_sgn_int A)))))
% 19.00/19.19  (assume a8714 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (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 B)))))
% 19.00/19.19  (assume a8715 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.sgn_sgn_Code_integer (tptp.times_3573771949741848930nteger A B)) (tptp.times_3573771949741848930nteger (tptp.sgn_sgn_Code_integer A) (tptp.sgn_sgn_Code_integer B)))))
% 19.00/19.19  (assume a8716 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) (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 B)))))
% 19.00/19.19  (assume a8717 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat B)))))
% 19.00/19.19  (assume a8718 (forall ((A tptp.int) (B 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) B)) (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 B)))))
% 19.00/19.19  (assume a8719 (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)))))))
% 19.00/19.19  (assume a8720 (forall ((B tptp.int) (A tptp.int)) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int B) (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 B) 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 B))))))))
% 19.00/19.19  (assume a8721 (forall ((B tptp.real) (A tptp.real)) (=> (not (= (tptp.aa_real_real tptp.sgn_sgn_real B) (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 B) 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 B))))))))
% 19.00/19.19  (assume a8722 (forall ((B tptp.rat) (A tptp.rat)) (=> (not (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B) (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 B) 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 B))))))))
% 19.00/19.19  (assume a8723 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (not (= (tptp.sgn_sgn_Code_integer B) (tptp.sgn_sgn_Code_integer A))) (=> (not (= (tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger)) (=> (not (= (tptp.sgn_sgn_Code_integer B) tptp.zero_z3403309356797280102nteger)) (= (tptp.sgn_sgn_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.sgn_sgn_Code_integer B))))))))
% 19.00/19.19  (assume a8724 (= (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)))
% 19.00/19.19  (assume a8725 (= (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)))
% 19.00/19.19  (assume a8726 (= (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)))
% 19.00/19.19  (assume a8727 (= (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)))
% 19.00/19.19  (assume a8728 (= (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)))
% 19.00/19.19  (assume a8729 (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)))))
% 19.00/19.19  (assume a8730 (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)))))
% 19.00/19.19  (assume a8731 (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)))))
% 19.00/19.19  (assume a8732 (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)))))
% 19.00/19.19  (assume a8733 (forall ((X2 tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.sgn_sgn_Code_integer X2) (tptp.abs_abs_Code_integer X2)) X2)))
% 19.00/19.19  (assume a8734 (forall ((X2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X2)) (tptp.aa_real_real tptp.abs_abs_real X2)) X2)))
% 19.00/19.19  (assume a8735 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat X2)) (tptp.aa_rat_rat tptp.abs_abs_rat X2)) X2)))
% 19.00/19.19  (assume a8736 (forall ((X2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int X2)) (tptp.aa_int_int tptp.abs_abs_int X2)) X2)))
% 19.00/19.19  (assume a8737 (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)))
% 19.00/19.19  (assume a8738 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.sgn_sgn_Code_integer A) (tptp.abs_abs_Code_integer A)) A)))
% 19.00/19.19  (assume a8739 (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)))
% 19.00/19.19  (assume a8740 (forall ((A tptp.rat)) (= (tptp.aa_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)))
% 19.00/19.19  (assume a8741 (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)))
% 19.00/19.19  (assume a8742 (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)))
% 19.00/19.19  (assume a8743 (forall ((A tptp.code_integer)) (= (tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A) (tptp.sgn_sgn_Code_integer A)) A)))
% 19.00/19.19  (assume a8744 (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)))
% 19.00/19.19  (assume a8745 (forall ((A tptp.rat)) (= (tptp.aa_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)))
% 19.00/19.19  (assume a8746 (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)))
% 19.00/19.19  (assume a8747 (forall ((K tptp.code_integer)) (= (tptp.abs_abs_Code_integer K) (tptp.times_3573771949741848930nteger K (tptp.sgn_sgn_Code_integer K)))))
% 19.00/19.19  (assume a8748 (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)))))
% 19.00/19.19  (assume a8749 (forall ((K tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat K) (tptp.aa_rat_rat (tptp.times_times_rat K) (tptp.aa_rat_rat tptp.sgn_sgn_rat K)))))
% 19.00/19.19  (assume a8750 (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)))))
% 19.00/19.19  (assume a8751 (forall ((K tptp.int)) (not (forall ((N2 tptp.nat) (L3 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 L3)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2))))))))
% 19.00/19.19  (assume a8752 (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)))))
% 19.00/19.19  (assume a8753 (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)))))
% 19.00/19.19  (assume a8754 (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)))))))
% 19.00/19.19  (assume a8755 (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))))
% 19.00/19.19  (assume a8756 (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))))))
% 19.00/19.19  (assume a8757 (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))))))
% 19.00/19.19  (assume a8758 (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)))))))
% 19.00/19.19  (assume a8759 (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))))))))
% 19.00/19.19  (assume a8760 (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))))))
% 19.00/19.19  (assume a8761 (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)))))
% 19.00/19.19  (assume a8762 (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_cg) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc N) M)))))))
% 19.00/19.19  (assume a8763 (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))))))))
% 19.00/19.19  (assume a8764 (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.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_cg) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat) M))))))
% 19.00/19.19  (assume a8765 (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 ((B8 tptp.real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_zz 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 B8) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real H) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))))
% 19.00/19.19  (assume a8766 (forall ((X 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))) X)) (= (tptp.aa_nat_real tptp.sin_coeff X) 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))) X))) (= (tptp.aa_nat_real tptp.sin_coeff X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_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 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 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X)))))))
% 19.00/19.19  (assume a8767 (forall ((X2 tptp.real) (N tptp.nat)) (=> (not (= X2 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 ((T6 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 T6))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T6)) (tptp.aa_real_real tptp.abs_abs_real X2))) (= (tptp.aa_real_real tptp.exp_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_aaa X2)) (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 T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a8768 (forall ((X2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_aab X2)) (tptp.aa_real_real tptp.sin_real X2)))))
% 19.00/19.19  (assume a8769 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X2)) (tptp.aa_real_real tptp.exp_real Y))))))
% 19.00/19.19  (assume a8770 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.19  (assume a8771 (= (tptp.aa_nat_real tptp.sin_coeff tptp.zero_zero_nat) tptp.zero_zero_real))
% 19.00/19.19  (assume a8772 (forall ((X2 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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)))))
% 19.00/19.19  (assume a8773 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8774 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X2)) X2))))
% 19.00/19.19  (assume a8775 (forall ((X2 tptp.real)) (= (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X2)) X2) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)))))
% 19.00/19.19  (assume a8776 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.19  (assume a8777 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X4 tptp.real)) (= (tptp.aa_real_real tptp.exp_real X4) Y)))))
% 19.00/19.19  (assume a8778 (forall ((X2 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 X2)))))
% 19.00/19.19  (assume a8779 (forall ((X2 tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X2)) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8780 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (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 X2))))))
% 19.00/19.19  (assume a8781 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)))))))
% 19.00/19.19  (assume a8782 (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))))))))
% 19.00/19.19  (assume a8783 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.ln_ln_real X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real Y)) X2))))))
% 19.00/19.19  (assume a8784 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.pi)) (=> (= (tptp.aa_real_real tptp.sin_real X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_real))))))
% 19.00/19.19  (assume a8785 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) tptp.pi)) (= (= (tptp.aa_real_real tptp.sin_real X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8786 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8787 (forall ((A tptp.real) (N tptp.nat) (X2 tptp.real) (B 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.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)) X2) (=> (= X2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real B)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real B)) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B))))))
% 19.00/19.19  (assume a8788 (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))))))))
% 19.00/19.19  (assume a8789 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8790 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a8791 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.pi) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a8792 (forall ((X2 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)))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a8793 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (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 X2)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))))))
% 19.00/19.19  (assume a8794 (forall ((Y tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (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 X2))))))))
% 19.00/19.19  (assume a8795 (forall ((N tptp.nat) (X2 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))) X2)) (=> (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.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 X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real X2)))))))
% 19.00/19.19  (assume a8796 (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))))))))
% 19.00/19.19  (assume a8797 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (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.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 X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X2))))))))
% 19.00/19.19  (assume a8798 (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))))))))
% 19.00/19.19  (assume a8799 (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)))))))
% 19.00/19.19  (assume a8800 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) X2)) (= (tptp.aa_real_real tptp.sin_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_aac X2)) (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 T6) (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.power_power_real X2) N)))))))))
% 19.00/19.19  (assume a8801 (forall ((N tptp.nat) (X2 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) X2)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) X2)) (= (tptp.aa_real_real tptp.sin_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_aac X2)) (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 T6) (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.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a8802 (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 ((Q4 tptp.int)) (=> (= A32 (tptp.product_Pair_int_int Q4 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 Q4) A22)))))) (not (forall ((R3 tptp.int) (Q4 tptp.int)) (=> (= A32 (tptp.product_Pair_int_int Q4 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 Q4) A22)) R3)))))))))))))
% 19.00/19.19  (assume a8803 (forall ((A1 tptp.int) (A22 tptp.int) (A32 tptp.product_prod_int_int)) (= (tptp.eucl_rel_int A1 A22 A32) (or (exists ((K2 tptp.int)) (and (= A1 K2) (= A22 tptp.zero_zero_int) (= A32 (tptp.product_Pair_int_int tptp.zero_zero_int K2)))) (exists ((L4 tptp.int) (K2 tptp.int) (Q5 tptp.int)) (and (= A1 K2) (= A22 L4) (= A32 (tptp.product_Pair_int_int Q5 tptp.zero_zero_int)) (not (= L4 tptp.zero_zero_int)) (= K2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q5) L4)))) (exists ((R5 tptp.int) (L4 tptp.int) (K2 tptp.int) (Q5 tptp.int)) (and (= A1 K2) (= A22 L4) (= A32 (tptp.product_Pair_int_int Q5 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))) (= K2 (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 Q5) L4)) R5))))))))
% 19.00/19.19  (assume a8804 (forall ((X2 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_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 ((T6 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) (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))) (=> (= X2 (tptp.aa_real_real tptp.cos_real T6)) (not (= Y (tptp.aa_real_real tptp.sin_real T6)))))))))))
% 19.00/19.19  (assume a8805 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) (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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.tan_real X2)) (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.power_power_real (tptp.aa_real_real tptp.tan_real X2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.00/19.19  (assume a8806 (forall ((Y tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real X2)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 19.00/19.19  (assume a8807 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))))))
% 19.00/19.19  (assume a8808 (forall ((P tptp.fun_real_bool) (E2 tptp.real)) (=> (forall ((D4 tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D4) E)) (=> (tptp.pp (tptp.aa_real_bool P D4)) (tptp.pp (tptp.aa_real_bool P E))))) (=> (forall ((N2 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 N2)))))) (=> (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 P E2)))))))
% 19.00/19.19  (assume a8809 (forall ((E2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((N3 tptp.nat)) (and (not (= N3 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 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))) E2)))))))
% 19.00/19.19  (assume a8810 (forall ((P tptp.fun_real_bool) (E2 tptp.real)) (=> (forall ((D4 tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D4) E)) (=> (tptp.pp (tptp.aa_real_bool P D4)) (tptp.pp (tptp.aa_real_bool P E))))) (=> (forall ((N2 tptp.nat)) (=> (not (= N2 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 N2)))))) (=> (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 P E2)))))))
% 19.00/19.19  (assume a8811 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.ln_ln_real X2))))))
% 19.00/19.19  (assume a8812 (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)))
% 19.00/19.19  (assume a8813 (forall ((Y tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2))))))))
% 19.00/19.19  (assume a8814 (forall ((X2 tptp.real)) (exists ((Y2 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)) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real Y2) (tptp.aa_real_real tptp.sin_real X2)) (= (tptp.aa_real_real tptp.cos_real Y2) (tptp.aa_real_real tptp.cos_real X2))))))
% 19.00/19.19  (assume a8815 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) (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 X2) (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.power_power_real (tptp.aa_real_real tptp.tan_real X2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.00/19.19  (assume a8816 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) (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 X4))))))))
% 19.00/19.19  (assume a8817 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8818 (forall ((Y tptp.real)) (exists ((X4 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))))) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) (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 X4) Y) (forall ((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.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))))) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) (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 Y3) Y)) (= Y3 X4)))))))
% 19.00/19.19  (assume a8819 (forall ((Y tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2))))))))
% 19.00/19.19  (assume a8820 (forall ((Y tptp.real) (X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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) X2)) (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 X2))))))))))
% 19.00/19.19  (assume a8821 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))))))
% 19.00/19.19  (assume a8822 (forall ((Y tptp.real)) (exists ((X4 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))))) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) (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 X4) Y)))))
% 19.00/19.19  (assume a8823 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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))) X2))) tptp.one_one_real))))))
% 19.00/19.19  (assume a8824 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8825 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (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 X2) (tptp.aa_real_real tptp.inverse_inverse_real X2)))))))
% 19.00/19.19  (assume a8826 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.inverse_inverse_real X2)))))
% 19.00/19.19  (assume a8827 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8828 (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 ((X4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) (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 X4) Y))))))
% 19.00/19.19  (assume a8829 (forall ((X2 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)))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a8830 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y)))))))))
% 19.00/19.19  (assume a8831 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2)) (tptp.aa_real_real tptp.tan_real Y))))))))
% 19.00/19.19  (assume a8832 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) (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 X2))) tptp.one_one_real)))))
% 19.00/19.19  (assume a8833 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)))))))
% 19.00/19.19  (assume a8834 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2) Y) (= (tptp.aa_real_real tptp.arctan Y) X2))))))
% 19.00/19.19  (assume a8835 (forall ((X2 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))))) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) X2)))))
% 19.00/19.19  (assume a8836 (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))))
% 19.00/19.19  (assume a8837 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) 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) X2))))))
% 19.00/19.19  (assume a8838 (forall ((N tptp.nat) (X2 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 X2) tptp.zero_zero_real)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.cos_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_aad X2)) (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 T6) (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.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a8839 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) X2)) (= (tptp.aa_real_real tptp.cos_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_aad X2)) (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 T6) (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.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a8840 (forall ((Z tptp.complex)) (=> (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) tptp.one_one_real) (not (forall ((T6 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) (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 T6)) (tptp.aa_real_real tptp.sin_real T6)))))))))))
% 19.00/19.19  (assume a8841 (forall ((X2 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 X2)) (tptp.aa_real_real tptp.sinh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))
% 19.00/19.19  (assume a8842 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8843 (forall ((X2 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 X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)))))
% 19.00/19.19  (assume a8844 (= (tptp.aa_nat_real tptp.cos_coeff tptp.zero_zero_nat) tptp.one_one_real))
% 19.00/19.19  (assume a8845 (forall ((X2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X2)) (tptp.aa_real_real tptp.cosh_real X2)))))
% 19.00/19.19  (assume a8846 (forall ((X2 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 X2)))))
% 19.00/19.19  (assume a8847 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X2)) (tptp.aa_real_real tptp.cosh_real Y)))))))
% 19.00/19.19  (assume a8848 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (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 X2)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))))
% 19.00/19.19  (assume a8849 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))))
% 19.00/19.19  (assume a8850 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) (tptp.aa_real_real tptp.inverse_inverse_real X2))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.19  (assume a8851 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real tptp.ln_ln_real X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) (tptp.aa_real_real tptp.inverse_inverse_real X2))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.19  (assume a8852 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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))))) X2) (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 X2))))))
% 19.00/19.19  (assume a8853 (forall ((L tptp.int) (K tptp.int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_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.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.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)))))))))))))
% 19.00/19.19  (assume a8854 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arctan Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_aae Y)))))
% 19.00/19.19  (assume a8855 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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))))) X2) (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 X2))))))
% 19.00/19.19  (assume a8856 (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)))))
% 19.00/19.19  (assume a8857 (forall ((N tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) N)))
% 19.00/19.19  (assume a8858 (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))))
% 19.00/19.19  (assume a8859 (forall ((P tptp.bool)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.zero_n2687167440665602831ol_nat P))))
% 19.00/19.19  (assume a8860 (= (tptp.aa_int_nat tptp.nat2 tptp.one_one_int) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 19.00/19.19  (assume a8861 (forall ((Z 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 Z) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a8862 (forall ((I tptp.int)) (= (= (tptp.aa_int_nat tptp.nat2 I) tptp.zero_zero_nat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) tptp.zero_zero_int)))))
% 19.00/19.19  (assume a8863 (forall ((W2 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 W2)) (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 W2) Z))))))
% 19.00/19.19  (assume a8864 (forall ((K tptp.num)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) tptp.zero_zero_nat)))
% 19.00/19.19  (assume a8865 (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)))))
% 19.00/19.19  (assume a8866 (forall ((A tptp.real) (X2 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) X2)) (=> (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) X2)) (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 X2) Y))))))))
% 19.00/19.19  (assume a8867 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) A)))))))
% 19.00/19.19  (assume a8868 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X2)))))))
% 19.00/19.19  (assume a8869 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)))))))
% 19.00/19.19  (assume a8870 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)))))))
% 19.00/19.19  (assume a8871 (forall ((N tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) tptp.zero_zero_nat)))
% 19.00/19.19  (assume a8872 (forall ((Z tptp.int)) (and (=> (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_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 Z)) Z)) (=> (not (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_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 Z)) tptp.zero_zero_int)))))
% 19.00/19.19  (assume a8873 (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)))))
% 19.00/19.19  (assume a8874 (forall ((A tptp.real) (X2 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) X2)) (=> (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) X2)) (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 X2) Y))))))))
% 19.00/19.19  (assume a8875 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) A)))))))
% 19.00/19.19  (assume a8876 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X2)))))))
% 19.00/19.19  (assume a8877 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.one_one_real)))))))
% 19.00/19.19  (assume a8878 (forall ((A tptp.real) (X2 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) X2)) (= (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) X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X2)))))))
% 19.00/19.19  (assume a8879 (forall ((V tptp.num) (V3 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 V3)) (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 V3))))))
% 19.00/19.19  (assume a8880 (forall ((X2 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 X2)) N) (tptp.aa_int_nat tptp.nat2 Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N) Y))))
% 19.00/19.19  (assume a8881 (forall ((Y tptp.int) (X2 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 X2)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X2)) N)))))
% 19.00/19.19  (assume a8882 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_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.dvd_dvd_int K) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.00/19.19  (assume a8883 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_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.dvd_dvd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K)))))
% 19.00/19.19  (assume a8884 (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)))))
% 19.00/19.19  (assume a8885 (forall ((A tptp.real) (B 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.power_power_real A) B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B))))))
% 19.00/19.19  (assume a8886 (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)))))
% 19.00/19.19  (assume a8887 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.19  (assume a8888 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.19  (assume a8889 (forall ((A tptp.int) (X2 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 X2)) 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 X2)) N))))))
% 19.00/19.19  (assume a8890 (forall ((X2 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 X2)) 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 X2)) N)) A)))))
% 19.00/19.19  (assume a8891 (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)))))
% 19.00/19.19  (assume a8892 (= tptp.zero_zero_nat (tptp.aa_int_nat tptp.nat2 tptp.zero_zero_int)))
% 19.00/19.19  (assume a8893 (forall ((X tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int X)))))
% 19.00/19.19  (assume a8894 (forall ((X2 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X2)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 19.00/19.19  (assume a8895 (forall ((Z tptp.int) (Z5 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) Z5)) (= (= (tptp.aa_int_nat tptp.nat2 Z) (tptp.aa_int_nat tptp.nat2 Z5)) (= Z Z5))))))
% 19.00/19.19  (assume a8896 (forall ((P tptp.fun_nat_bool)) (= (forall ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_13))) (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_nat_bool P (tptp.aa_int_nat tptp.nat2 X3))))))))
% 19.00/19.19  (assume a8897 (forall ((P tptp.fun_nat_bool)) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_13))) (exists ((X3 tptp.int)) (and (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_nat_bool P (tptp.aa_int_nat tptp.nat2 X3))))))))
% 19.00/19.19  (assume a8898 (= tptp.one_one_nat (tptp.aa_int_nat tptp.nat2 tptp.one_one_int)))
% 19.00/19.19  (assume a8899 (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)))))
% 19.00/19.19  (assume a8900 (forall ((Z tptp.int) (W2 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 W2)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) Z))))))
% 19.00/19.19  (assume a8901 (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)))))
% 19.00/19.19  (assume a8902 (forall ((X2 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 X2)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.00/19.19  (assume a8903 (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_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 Z)) Z))))
% 19.00/19.19  (assume a8904 (forall ((M tptp.nat) (Z tptp.int)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) Z) (and (= M (tptp.aa_int_nat tptp.nat2 Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z))))))
% 19.00/19.19  (assume a8905 (forall ((A tptp.nat) (B 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 B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))))
% 19.00/19.19  (assume a8906 (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)))))))
% 19.00/19.19  (assume a8907 (forall ((W2 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 W2) 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 W2))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int Z))))))
% 19.00/19.19  (assume a8908 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Xa) (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 X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 19.00/19.19  (assume a8909 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Xa) (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 X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 19.00/19.19  (assume a8910 (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))))))
% 19.00/19.19  (assume a8911 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) Xa) (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 X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 19.00/19.19  (assume a8912 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Xa) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 19.00/19.19  (assume a8913 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 19.00/19.19  (assume a8914 (forall ((A tptp.real) (B tptp.real) (X2 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 B) X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) B)))))))
% 19.00/19.19  (assume a8915 (forall ((M tptp.nat) (B tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) (tptp.aa_nat_real (tptp.power_power_real B) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)))))))
% 19.00/19.19  (assume a8916 (forall ((B 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.power_power_real B) N)) M)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (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 B) M)))))))
% 19.00/19.19  (assume a8917 (forall ((W2 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) W2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W2)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) Z))))))
% 19.00/19.19  (assume a8918 (forall ((W2 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) W2)) (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 W2)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W2) Z))))))
% 19.00/19.19  (assume a8919 (forall ((W2 tptp.int) (M tptp.nat)) (= (= (tptp.aa_int_nat tptp.nat2 W2) M) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W2)) (= W2 (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W2))) (= M tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a8920 (forall ((M tptp.nat) (W2 tptp.int)) (= (= M (tptp.aa_int_nat tptp.nat2 W2)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W2)) (= W2 (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W2))) (= M tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a8921 (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 ((N3 tptp.nat)) (=> (= I (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)) (tptp.pp (tptp.aa_nat_bool P N3)))) (=> (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)))))))
% 19.00/19.19  (assume a8922 (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))))))
% 19.00/19.19  (assume a8923 (forall ((Z tptp.int) (Z5 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) Z5)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z5)) (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 Z5)))))))
% 19.00/19.19  (assume a8924 (forall ((Z tptp.int) (Z5 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) Z5)) (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 Z5))))))
% 19.00/19.19  (assume a8925 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat tptp.suc X) (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 X)) tptp.one_one_int)))))
% 19.00/19.19  (assume a8926 (forall ((X2 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) X2)) (=> (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 X2) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat tptp.nat2 X2)) (tptp.aa_int_nat tptp.nat2 Y)))))))
% 19.00/19.19  (assume a8927 (forall ((Z5 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) Z5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z5) Z)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z) Z5)) (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 Z5)))))))
% 19.00/19.19  (assume a8928 (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)))))))
% 19.00/19.19  (assume a8929 (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)))))
% 19.00/19.19  (assume a8930 (= (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))))
% 19.00/19.19  (assume a8931 (forall ((A tptp.real) (X2 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) X2)) (=> (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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 19.00/19.19  (assume a8932 (forall ((A tptp.real) (X2 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) X2)) (=> (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 X2) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 19.00/19.19  (assume a8933 (forall ((B 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.power_power_real B) N)) M)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (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 B) M)))))))
% 19.00/19.19  (assume a8934 (forall ((A tptp.real) (N tptp.nat) (X2 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.power_power_real A) N)) X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 19.00/19.19  (assume a8935 (forall ((X2 tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_nat_real (tptp.power_power_real X2) 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 B) X2))))))
% 19.00/19.19  (assume a8936 (forall ((A tptp.real) (X2 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) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real tptp.inverse_inverse_real X2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2))))))))
% 19.00/19.19  (assume a8937 (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))))))
% 19.00/19.19  (assume a8938 (forall ((W2 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) W2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W2)) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))))
% 19.00/19.19  (assume a8939 (forall ((Z tptp.int) (Z5 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) Z5)) (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 Z5)))))))
% 19.00/19.19  (assume a8940 (forall ((A tptp.nat) (B tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (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 B)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= (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 B)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))))
% 19.00/19.19  (assume a8941 (forall ((Z5 tptp.int) (Z tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z5) 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 Z5)) (tptp.aa_int_nat tptp.nat2 Z))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z5) 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 Z5)) (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) Z5)) 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) Z5))))))))
% 19.00/19.19  (assume a8942 (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)))))
% 19.00/19.19  (assume a8943 (forall ((M tptp.nat) (B 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.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (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 B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.00/19.19  (assume a8944 (forall ((A tptp.real) (B tptp.real) (X2 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) B)) (=> (not (= B tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2) (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 B)) (tptp.aa_real_real tptp.ln_ln_real A))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2))))))))))
% 19.00/19.19  (assume a8945 (forall ((Z tptp.int) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_int_nat tptp.nat2 Z)) M)) (and (=> (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.dvd_dvd_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z))) (= M tptp.zero_zero_nat))))))
% 19.00/19.19  (assume a8946 (forall ((M tptp.nat) (B 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.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (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 B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.00/19.19  (assume a8947 (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)))))))
% 19.00/19.19  (assume a8948 (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)))))))
% 19.00/19.19  (assume a8949 (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)))))))
% 19.00/19.19  (assume a8950 (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)))))))
% 19.00/19.19  (assume a8951 (forall ((B 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))) B)) (=> (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 B)) (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 B) 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 19.00/19.19  (assume a8952 (forall ((B 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 B) 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 B) (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))) B)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (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)))))))
% 19.00/19.19  (assume a8953 (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)))))
% 19.00/19.19  (assume a8954 (forall ((B 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))) B)) (=> (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 B)) (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 B) 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 B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 19.00/19.19  (assume a8955 (forall ((B 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 B) 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 B) (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))) B)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))))
% 19.00/19.19  (assume a8956 (forall ((X2 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 X2))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real A))))))
% 19.00/19.19  (assume a8957 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.zero_zero_real)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X2)) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a8958 (forall ((N tptp.nat) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) N)))))
% 19.00/19.19  (assume a8959 (forall ((X2 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 X2)) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real A)))))))
% 19.00/19.19  (assume a8960 (forall ((N tptp.int) (X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2) N)))))
% 19.00/19.19  (assume a8961 (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)))))
% 19.00/19.19  (assume a8962 (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))))))
% 19.00/19.19  (assume a8963 (forall ((N tptp.nat) (X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2)) N)))))
% 19.00/19.19  (assume a8964 (forall ((N tptp.int) (X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (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 X2) N)))))
% 19.00/19.19  (assume a8965 (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)))))
% 19.00/19.19  (assume a8966 (forall ((X2 tptp.real) (B tptp.real) (K tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) (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 B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (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)))))))))))
% 19.00/19.19  (assume a8967 (forall ((X2 tptp.real) (I tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (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 X2) (tptp.aa_int_real tptp.ring_1_of_int_real I)) (tptp.aa_nat_real (tptp.power_power_real X2) (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 X2) (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.power_power_real X2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int I))))))))))
% 19.00/19.19  (assume a8968 (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))))))))))
% 19.00/19.19  (assume a8969 (forall ((X2 tptp.real) (B tptp.real) (K tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) 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 B) (tptp.aa_int_real tptp.ring_1_of_int_real K))) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (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)))))))))))
% 19.00/19.19  (assume a8970 (forall ((X2 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 X2) A))) (not (= X2 tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8971 (forall ((X2 tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (= (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 X2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 19.00/19.19  (assume a8972 (forall ((A tptp.real) (X2 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) X2) tptp.one_one_real) (= X2 tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8973 (forall ((X2 tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (= (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 X2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 19.00/19.19  (assume a8974 (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)))))
% 19.00/19.19  (assume a8975 (forall ((A tptp.real) (X2 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) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X2)) X2))))))
% 19.00/19.19  (assume a8976 (forall ((A tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) A))))))))
% 19.00/19.19  (assume a8977 (forall ((A tptp.real) (X2 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) X2)) tptp.zero_zero_real)))))
% 19.00/19.19  (assume a8978 (forall ((A tptp.real) (B tptp.real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (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 X2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) B)))))))
% 19.00/19.19  (assume a8979 (forall ((X2 tptp.real) (A tptp.real) (B 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 X2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 19.00/19.19  (assume a8980 (forall ((A tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))))
% 19.00/19.19  (assume a8981 (forall ((A tptp.real) (X2 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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 X2) A))))))))
% 19.00/19.19  (assume a8982 (forall ((A tptp.real) (X2 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) X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) Y)) (= X2 Y))))))
% 19.00/19.19  (assume a8983 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (=> (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 X2) Y)))))))
% 19.00/19.19  (assume a8984 (forall ((X2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real X2) N)))))
% 19.00/19.19  (assume a8985 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 B) Y)) X2)) (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 B) X2))))))))
% 19.00/19.19  (assume a8986 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) 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 B) X2)) Y)))))))
% 19.00/19.19  (assume a8987 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y))))))))
% 19.00/19.19  (assume a8988 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 B) X2))) (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 B) Y)) X2)))))))
% 19.00/19.19  (assume a8989 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) (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) X2)))))
% 19.00/19.19  (assume a8990 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2)) (tptp.aa_real_real tptp.arcsin Y))))))))
% 19.00/19.19  (assume a8991 (forall ((X2 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 X2)) 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 X2)) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)))))))
% 19.00/19.19  (assume a8992 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 B) Y)) X2)) (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 B) X2))))))))
% 19.00/19.19  (assume a8993 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) 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 B) X2)) Y)))))))
% 19.00/19.19  (assume a8994 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 B) X2)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y))))))))
% 19.00/19.19  (assume a8995 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (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 B) X2))) (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 B) Y)) X2)))))))
% 19.00/19.19  (assume a8996 (forall ((X2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X2)) (=> (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 X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) A)) A)))))))
% 19.00/19.19  (assume a8997 (forall ((X2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (=> (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 X2)) 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)) X2)))))))
% 19.00/19.19  (assume a8998 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (not (= B tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)))))))))
% 19.00/19.19  (assume a8999 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (not (= B tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X2))))))))
% 19.00/19.19  (assume a9000 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (not (= B tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X2))))))))
% 19.00/19.19  (assume a9001 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9002 (forall ((B tptp.real) (X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (not (= B tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X2)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (tptp.aa_real_real tptp.uminus_uminus_real Y))))))))))
% 19.00/19.19  (assume a9003 (forall ((X2 tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))))
% 19.00/19.19  (assume a9004 (forall ((X2 tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (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 X2) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_nat_real (tptp.power_power_real X2) (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 X2) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.power_power_real X2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int N))))))))))
% 19.00/19.19  (assume a9005 (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)))))))
% 19.00/19.19  (assume a9006 (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)))))))
% 19.00/19.19  (assume a9007 (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)))))
% 19.00/19.19  (assume a9008 (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)))))
% 19.00/19.19  (assume a9009 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X2)))))
% 19.00/19.19  (assume a9010 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X2)))))
% 19.00/19.19  (assume a9011 (forall ((X2 tptp.real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X2) (tptp.the_int (tptp.aa_real_fun_int_bool tptp.aTP_Lamm_aaf X2)))))
% 19.00/19.19  (assume a9012 (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)))))))))))))
% 19.00/19.19  (assume a9013 (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.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)))))))))
% 19.00/19.19  (assume a9014 (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))))))
% 19.00/19.19  (assume a9015 (forall ((X2 tptp.rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X2) (tptp.the_int (tptp.aTP_Lamm_aag X2)))))
% 19.00/19.19  (assume a9016 (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)))))))))))))
% 19.00/19.19  (assume a9017 (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)))))))
% 19.00/19.19  (assume a9018 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X2)))))
% 19.00/19.19  (assume a9019 (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)))))
% 19.00/19.19  (assume a9020 (forall ((X2 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 X2))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X2)))))
% 19.00/19.19  (assume a9021 (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)))))
% 19.00/19.19  (assume a9022 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X2) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (= X2 Y)))))
% 19.00/19.19  (assume a9023 (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 ((T6 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) T6)) (not (= R2 (tptp.aa_rat_rat (tptp.plus_plus_rat S3) T6)))))))))))
% 19.00/19.19  (assume a9024 (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)))))
% 19.00/19.19  (assume a9025 (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))))))))
% 19.00/19.19  (assume a9026 (forall ((X2 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) X2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (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 X2) 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))))))))
% 19.00/19.19  (assume a9027 (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))))))
% 19.00/19.19  (assume a9028 (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))))))
% 19.00/19.19  (assume a9029 (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)))))))))
% 19.00/19.19  (assume a9030 (forall ((Q2 tptp.int) (P3 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 P3 Q2)) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int P3) (tptp.aa_int_int tptp.uminus_uminus_int Q2)))))))
% 19.00/19.19  (assume a9031 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_cg) (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))))))
% 19.00/19.19  (assume a9032 (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.aa_VEB5832953974749077948T_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)))))
% 19.00/19.19  (assume a9033 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo4055970368930404560y_real X6) (forall ((J3 tptp.nat)) (exists ((M9 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) N3)) (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 X6 M4)) (tptp.aa_nat_real X6 N3)))) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc J3))))))))))))))
% 19.00/19.19  (assume a9034 (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))))))
% 19.00/19.19  (assume a9035 (forall ((L tptp.nat) (U tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_or4665077453230672383an_nat L U)))))
% 19.00/19.19  (assume a9036 (forall ((M tptp.nat)) (= (tptp.set_or4665077453230672383an_nat M (tptp.aa_nat_nat tptp.suc M)) (tptp.insert_nat M tptp.bot_bot_set_nat))))
% 19.00/19.19  (assume a9037 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_nat_bool P M4)))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 19.00/19.19  (assume a9038 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_nat_bool P M4)))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 19.00/19.19  (assume a9039 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.set_or4665077453230672383an_nat L (tptp.aa_nat_nat tptp.suc U)) (tptp.set_or1269000886237332187st_nat L U))))
% 19.00/19.19  (assume a9040 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N))))
% 19.00/19.19  (assume a9041 (forall ((M tptp.nat)) (= (tptp.set_or4665077453230672383an_nat M tptp.zero_zero_nat) tptp.bot_bot_set_nat)))
% 19.00/19.19  (assume a9042 (forall ((N tptp.nat)) (= (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a9043 (forall ((N4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat N4) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N4)))))
% 19.00/19.19  (assume a9044 (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.set_or4665077453230672383an_nat M (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (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.set_or4665077453230672383an_nat M (tptp.aa_nat_nat tptp.suc N)) tptp.bot_bot_set_nat)))))
% 19.00/19.19  (assume a9045 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.suc) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 19.00/19.19  (assume a9046 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.suc) (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 19.00/19.19  (assume a9047 (forall ((R2 tptp.product_prod_int_int) (P3 tptp.int) (Q2 tptp.int)) (=> (= (tptp.normalize R2) (tptp.product_Pair_int_int P3 Q2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q2)))))
% 19.00/19.19  (assume a9048 (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.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.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.set_or4665077453230672383an_nat M (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.bot_bot_set_nat)))))
% 19.00/19.19  (assume a9049 (forall ((X2 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) X2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) (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 X2) 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))))))))
% 19.00/19.19  (assume a9050 (forall ((N tptp.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)))))
% 19.00/19.19  (assume a9051 (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.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))))
% 19.00/19.19  (assume a9052 (forall ((N tptp.nat) (A tptp.fun_nat_nat) (B 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 B J2)) (tptp.aa_nat_nat B 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_aah A) B)) (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.set_or4665077453230672383an_nat tptp.zero_zero_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat B) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N)))))))))
% 19.00/19.19  (assume a9053 (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.aa_VEB5832953974749077948T_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)))))
% 19.00/19.19  (assume a9054 (forall ((L tptp.int) (U tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_or4662586982721622107an_int L U)))))
% 19.00/19.19  (assume a9055 (forall ((U tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_or4662586982721622107an_int tptp.zero_zero_int U)))))
% 19.00/19.19  (assume a9056 (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))))
% 19.00/19.19  (assume a9057 (forall ((X21 tptp.bool) (X222 tptp.bool)) (= (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT (tptp.vEBT_Leaf X21 X222)) tptp.zero_zero_nat)))
% 19.00/19.19  (assume a9058 (forall ((U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat U)) U)))
% 19.00/19.19  (assume a9059 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N))) N)))
% 19.00/19.19  (assume a9060 (forall ((U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U)) (tptp.aa_nat_nat tptp.suc U))))
% 19.00/19.19  (assume a9061 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.set_or4665077453230672383an_nat L U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) L))))
% 19.00/19.19  (assume a9062 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_az N))) (tptp.aa_nat_nat tptp.suc N))))
% 19.00/19.19  (assume a9063 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_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))))
% 19.00/19.19  (assume a9064 (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)))))
% 19.00/19.19  (assume a9065 (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)))))
% 19.00/19.19  (assume a9066 (forall ((U tptp.int)) (= (tptp.finite_card_int (tptp.set_or4662586982721622107an_int tptp.zero_zero_int U)) (tptp.aa_int_nat tptp.nat2 U))))
% 19.00/19.19  (assume a9067 (forall ((M5 tptp.set_nat) (I tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M5))) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aai M5) I))) (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aaj M5) I)))))))
% 19.00/19.19  (assume a9068 (forall ((M5 tptp.set_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M5)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aai M5) I)))) (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aaj M5) I)))))))
% 19.00/19.19  (assume a9069 (forall ((M5 tptp.set_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M5)) (not (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aaj M5) I))) tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a9070 (forall ((A2 tptp.set_nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat A2) (tptp.set_or4665077453230672383an_nat K (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_set_nat_nat tptp.finite_card_nat A2))))) (= A2 (tptp.set_or4665077453230672383an_nat K (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_set_nat_nat tptp.finite_card_nat A2)))))))
% 19.00/19.19  (assume a9071 (forall ((N4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat N4) (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.aa_set_nat_nat tptp.finite_card_nat N4)) N)))))
% 19.00/19.19  (assume a9072 (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_cg) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat (tptp.aa_set_nat_nat tptp.finite_card_nat S2)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_cg) S2)))))
% 19.00/19.19  (assume a9073 (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_aak C) N))) N)))))
% 19.00/19.19  (assume a9074 (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.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw N))) N))))
% 19.00/19.19  (assume a9075 (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_ri631733984087533419it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) N)))))
% 19.00/19.19  (assume a9076 (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))))))
% 19.00/19.19  (assume a9077 (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))))
% 19.00/19.19  (assume a9078 (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))))))
% 19.00/19.19  (assume a9079 (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.aa_int_fun_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.aa_nat_fun_int_int tptp.bit_se2923211474154528505it_int M) K)))))))
% 19.00/19.19  (assume a9080 (forall ((K tptp.int)) (not (forall ((N2 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) M2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) N2))))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N2) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) N2)))))))))))
% 19.00/19.19  (assume a9081 (forall ((Nat tptp.nat)) (= (= Nat tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fTrue tptp.aTP_Lamm_bm) Nat)))))
% 19.00/19.19  (assume a9082 (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_aal) Nat)))))
% 19.00/19.19  (assume a9083 (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)))))
% 19.00/19.19  (assume a9084 (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_aam N)) M))))
% 19.00/19.19  (assume a9085 (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_aan N)) M))))
% 19.00/19.19  (assume a9086 (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_cg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))
% 19.00/19.19  (assume a9087 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.finite_card_set_nat (tptp.collect_set_nat (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_aao N) K))))))
% 19.00/19.19  (assume a9088 (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_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)))))
% 19.00/19.19  (assume a9089 (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))))
% 19.00/19.19  (assume a9090 (forall ((M tptp.nat) (K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_nat_fun_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.aa_int_fun_nat_bool tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.00/19.19  (assume a9091 (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)))))))
% 19.00/19.19  (assume a9092 (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_cg) Nat))))
% 19.00/19.19  (assume a9093 (forall ((X2 tptp.nat)) (= (tptp.bezw X2 tptp.zero_zero_nat) (tptp.product_Pair_int_int tptp.one_one_int tptp.zero_zero_int))))
% 19.00/19.19  (assume a9094 (forall ((X2 tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.nat_prod_decode_aux X2 Xa2) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X2)) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X2) Xa2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X2))) (= Y (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa2) (tptp.aa_nat_nat tptp.suc X2)))))))))
% 19.00/19.19  (assume a9095 (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))))))))
% 19.00/19.19  (assume a9096 (forall ((S2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (exists ((R3 tptp.fun_nat_nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.strict1292158309912662752at_nat R3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_set_nat_nat tptp.finite_card_nat S2)))) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N5) (tptp.aa_set_nat_nat tptp.finite_card_nat S2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat R3 N5)) S2)))))))))
% 19.00/19.19  (assume a9097 (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat tptp.bot_bot_set_nat) tptp.zero_zero_nat))
% 19.00/19.19  (assume a9098 (forall ((K5 tptp.set_nat)) (=> (not (= K5 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_set_nat_nat tptp.complete_Inf_Inf_nat K5)) K5)))))
% 19.00/19.19  (assume a9099 (forall ((N tptp.nat) (X2 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) X2)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.00/19.19  (assume a9100 (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_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)))))
% 19.00/19.19  (assume a9101 (forall ((X2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) X2) X2)))
% 19.00/19.19  (assume a9102 (forall ((X2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root tptp.zero_zero_nat) X2) tptp.zero_zero_real)))
% 19.00/19.19  (assume a9103 (forall ((N tptp.nat) (X2 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) X2) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)) (= X2 Y)))))
% 19.00/19.19  (assume a9104 (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)))))
% 19.00/19.19  (assume a9105 (forall ((N tptp.nat) (X2 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) X2) tptp.zero_zero_real) (= X2 tptp.zero_zero_real)))))
% 19.00/19.19  (assume a9106 (forall ((N tptp.nat) (X2 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) X2)) (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 X2) Y))))))
% 19.00/19.19  (assume a9107 (forall ((N tptp.nat) (X2 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) X2)) (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 X2) Y))))))
% 19.00/19.19  (assume a9108 (forall ((N tptp.nat) (X2 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) X2) tptp.one_one_real) (= X2 tptp.one_one_real)))))
% 19.00/19.19  (assume a9109 (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))))
% 19.00/19.19  (assume a9110 (forall ((N tptp.nat) (X2 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) X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9111 (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))))))
% 19.00/19.19  (assume a9112 (forall ((N tptp.nat) (X2 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) X2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9113 (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))))))
% 19.00/19.19  (assume a9114 (forall ((N tptp.nat) (X2 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) X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real))))))
% 19.00/19.19  (assume a9115 (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))))))
% 19.00/19.19  (assume a9116 (forall ((N tptp.nat) (X2 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) X2)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.one_one_real))))))
% 19.00/19.19  (assume a9117 (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))))))
% 19.00/19.19  (assume a9118 (forall ((N tptp.nat) (X2 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) X2)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) N) X2)))))
% 19.00/19.19  (assume a9119 (forall ((N tptp.nat) (X2 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 X2) 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) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 19.00/19.19  (assume a9120 (forall ((N tptp.nat) (X2 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 X2) 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) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 19.00/19.19  (assume a9121 (forall ((N tptp.nat) (X2 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.power_power_real X2) K)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) K)))))
% 19.00/19.19  (assume a9122 (forall ((N tptp.nat) (X2 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 X2)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2))))))
% 19.00/19.19  (assume a9123 (forall ((N tptp.nat) (X2 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) X2)) (tptp.aa_real_real tptp.sgn_sgn_real X2)))))
% 19.00/19.19  (assume a9124 (forall ((N tptp.nat) (X2 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) X2)) (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) X2)))))))
% 19.00/19.19  (assume a9125 (forall ((N tptp.nat) (N4 tptp.nat) (X2 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) N4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (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 N4) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2))))))))
% 19.00/19.19  (assume a9126 (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.power_power_real Y) N))) (tptp.aa_real_real tptp.abs_abs_real Y)))))
% 19.00/19.19  (assume a9127 (forall ((N tptp.nat) (X2 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) X2)) (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) X2)))))))
% 19.00/19.19  (assume a9128 (forall ((N tptp.nat) (N4 tptp.nat) (X2 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) N4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N4) X2)))))))))
% 19.00/19.19  (assume a9129 (forall ((N tptp.nat) (N4 tptp.nat) (X2 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) N4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X2)) (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 N4) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2))))))))
% 19.00/19.19  (assume a9130 (forall ((N tptp.nat) (X2 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) X2)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) N) X2)))))
% 19.00/19.19  (assume a9131 (forall ((N tptp.nat) (X2 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) X2)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.power_power_real X2) N)) X2)))))
% 19.00/19.19  (assume a9132 (forall ((N tptp.nat) (Y tptp.real) (X2 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.power_power_real Y) N) X2) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2) Y))))))
% 19.00/19.19  (assume a9133 (forall ((N tptp.nat) (N4 tptp.nat) (X2 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) N4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) 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) X2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N4) X2)))))))))
% 19.00/19.19  (assume a9134 (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.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y)) N))) Y))))
% 19.00/19.19  (assume a9135 (forall ((N tptp.nat) (X2 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) X2))) (tptp.aa_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) X2))) N)) X2))))
% 19.00/19.19  (assume a9136 (forall ((N tptp.nat) (B 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) B)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.00/19.19  (assume a9137 (forall ((N tptp.nat) (A tptp.real) (B 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 B) (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 B) A)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.00/19.19  (assume a9138 (forall ((N tptp.nat) (B tptp.real) (X2 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) B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) B)) X2) (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 B) X2)))))))
% 19.00/19.19  (assume a9139 (forall ((P tptp.fun_real_bool) (N tptp.nat) (X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2))) (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 ((Y4 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y4)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y4)) N)) X2) (tptp.pp (tptp.aa_real_bool P Y4)))))))))
% 19.00/19.19  (assume a9140 (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))))))
% 19.00/19.19  (assume a9141 (forall ((L tptp.int) (U tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_or5832277885323065728an_int L U)))))
% 19.00/19.19  (assume a9142 (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))))
% 19.00/19.19  (assume a9143 (tptp.semila1623282765462674594er_nat tptp.ord_max_nat tptp.zero_zero_nat tptp.aTP_Lamm_az tptp.aTP_Lamm_ay))
% 19.00/19.19  (assume a9144 (forall ((L tptp.nat) (U tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_or5834768355832116004an_nat L U)))))
% 19.00/19.19  (assume a9145 (forall ((N tptp.nat)) (= (tptp.compow_fun_nat_nat N tptp.suc) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N))))
% 19.00/19.19  (assume a9146 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_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)))))
% 19.00/19.19  (assume a9147 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc L) U) (tptp.set_or5834768355832116004an_nat L U))))
% 19.00/19.19  (assume a9148 (forall ((Xa2 tptp.product_prod_nat_nat) (X2 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 Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_aaq) Xa2) X2)))))
% 19.00/19.19  (assume a9149 (forall ((M5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat M5)) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat M5) (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat (tptp.minus_minus_set_nat M5 (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))))
% 19.00/19.19  (assume a9150 (forall ((Z tptp.int)) (not (forall ((X4 tptp.nat) (Y2 tptp.nat)) (not (= Z (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y2))))))))
% 19.00/19.19  (assume a9151 (forall ((N4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.one_one_nat) N4)) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat N4) tptp.one_one_nat))))
% 19.00/19.19  (assume a9152 (forall ((A tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat A2)) A)))))
% 19.00/19.19  (assume a9153 (forall ((A2 tptp.set_nat) (A tptp.nat)) (=> (forall ((B3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat A2))))))
% 19.00/19.19  (assume a9154 (forall ((P tptp.fun_int_bool) (X2 tptp.int)) (=> (forall ((Y2 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Y2)))) (tptp.pp (tptp.aa_int_bool P X2)))))
% 19.00/19.19  (assume a9155 (forall ((X2 tptp.product_prod_nat_nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2)) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) X2))))
% 19.00/19.19  (assume a9156 (= tptp.zero_zero_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9157 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N) tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a9158 (forall ((X2 tptp.product_prod_nat_nat)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_aar) X2)))))
% 19.00/19.19  (assume a9159 (= 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))))
% 19.00/19.19  (assume a9160 (forall ((Xa2 tptp.product_prod_nat_nat) (X2 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 Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_aat) Xa2) X2)))))
% 19.00/19.19  (assume a9161 (forall ((Xa2 tptp.product_prod_nat_nat) (X2 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 Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_aav) Xa2) X2)))))
% 19.00/19.19  (assume a9162 (forall ((Xa2 tptp.product_prod_nat_nat) (X2 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 Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_aax) Xa2) X2)))))
% 19.00/19.19  (assume a9163 (forall ((Xa2 tptp.product_prod_nat_nat) (X2 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 Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_aaz) Xa2) X2)))))
% 19.00/19.19  (assume a9164 (forall ((K5 tptp.set_int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.gcd_Gcd_int K5)) (tptp.gcd_Gcd_int K5))))
% 19.00/19.19  (assume a9165 (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)))))
% 19.00/19.19  (assume a9166 (forall ((A tptp.int) (A2 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.gcd_Gcd_int A2)) A)))))
% 19.00/19.19  (assume a9167 (forall ((A2 tptp.set_int) (A tptp.int)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.gcd_Gcd_int A2))))))
% 19.00/19.19  (assume a9168 (forall ((K5 tptp.set_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.gcd_Gcd_int K5)))))
% 19.00/19.19  (assume a9169 (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))))))
% 19.00/19.19  (assume a9170 (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))))
% 19.00/19.19  (assume a9171 (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))))
% 19.00/19.19  (assume a9172 (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)))))
% 19.00/19.19  (assume a9173 (forall ((X2 tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_aav) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X2)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 19.00/19.19  (assume a9174 (forall ((X2 tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_aat) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X2)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 19.00/19.19  (assume a9175 (forall ((X2 tptp.int)) (= (tptp.aa_int_nat tptp.nat2 X2) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X2)))))
% 19.00/19.19  (assume a9176 (= tptp.uminus_uminus_int (tptp.aa_fun8399641135911395862nt_int (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_aar))))
% 19.00/19.19  (assume a9177 (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)))))
% 19.00/19.19  (assume a9178 (forall ((C tptp.nat) (Y tptp.nat) (X2 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_aba C) (tptp.set_or4665077453230672383an_nat X2 Y)) (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X2) 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 X2) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aba C) (tptp.set_or4665077453230672383an_nat X2 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 X2) Y))) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aba C) (tptp.set_or4665077453230672383an_nat X2 Y)) tptp.bot_bot_set_nat)))))))
% 19.00/19.19  (assume a9179 (= (tptp.aa_nat_nat tptp.nat_triangle tptp.zero_zero_nat) tptp.zero_zero_nat))
% 19.00/19.19  (assume a9180 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.set_or1269000886237332187st_nat I J)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc I) (tptp.aa_nat_nat tptp.suc J)))))
% 19.00/19.19  (assume a9181 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.set_or4665077453230672383an_nat I J)) (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc I) (tptp.aa_nat_nat tptp.suc J)))))
% 19.00/19.19  (assume a9182 (forall ((A2 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc A2))))))
% 19.00/19.19  (assume a9183 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat N))))
% 19.00/19.19  (assume a9184 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.set_or1269000886237332187st_nat tptp.one_one_nat (tptp.aa_nat_nat tptp.suc N)))))
% 19.00/19.19  (assume a9185 (forall ((N tptp.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.set_or1269000886237332187st_nat tptp.zero_zero_nat N))))))
% 19.00/19.19  (assume a9186 (forall ((N tptp.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.set_or4665077453230672383an_nat tptp.zero_zero_nat N))))))
% 19.00/19.19  (assume a9187 (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))))))
% 19.00/19.19  (assume a9188 (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))))))
% 19.00/19.19  (assume a9189 (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.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))))))
% 19.00/19.19  (assume a9190 (= 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_aaq))))
% 19.00/19.19  (assume a9191 (= 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_aaz))))
% 19.00/19.19  (assume a9192 (= 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_aax))))
% 19.00/19.19  (assume a9193 (forall ((K5 tptp.set_int)) (= (tptp.gcd_Gcd_int (tptp.image_int_int tptp.abs_abs_int K5)) (tptp.gcd_Gcd_int K5))))
% 19.00/19.19  (assume a9194 (forall ((N4 tptp.set_nat)) (= (tptp.gcd_Gcd_int (tptp.image_nat_int tptp.semiri1314217659103216013at_int N4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat N4)))))
% 19.00/19.19  (assume a9195 (forall ((K5 tptp.set_int)) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat (tptp.image_int_nat tptp.aTP_Lamm_abb K5)) (tptp.aa_int_nat tptp.nat2 (tptp.gcd_Gcd_int K5)))))
% 19.00/19.19  (assume a9196 (forall ((S2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (exists ((K2 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.image_int_int tptp.abs_abs_int S2)) (tptp.set_ord_lessThan_int K2)))))))
% 19.00/19.19  (assume a9197 (forall ((S2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2)) (exists ((K2 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.image_int_int tptp.abs_abs_int S2)) (tptp.set_ord_atMost_int K2)))))))
% 19.00/19.19  (assume a9198 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.image_nat_int tptp.semiri1314217659103216013at_int (tptp.set_or1269000886237332187st_nat A B)) (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))))
% 19.00/19.19  (assume a9199 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.image_nat_int tptp.semiri1314217659103216013at_int (tptp.set_or4665077453230672383an_nat A B)) (tptp.set_or4662586982721622107an_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))))
% 19.00/19.19  (assume a9200 (forall ((L tptp.int) (U tptp.int)) (= (tptp.image_int_int (tptp.aTP_Lamm_abc 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))))
% 19.00/19.19  (assume a9201 (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)))))))
% 19.00/19.19  (assume a9202 (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat tptp.top_top_set_nat))))
% 19.00/19.19  (assume a9203 (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat tptp.top_top_set_nat))))
% 19.00/19.19  (assume a9204 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_lessThan_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.00/19.19  (assume a9205 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_atMost_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.00/19.19  (assume a9206 (= tptp.top_top_set_nat (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat))))
% 19.00/19.19  (assume a9207 (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_abd N) tptp.top_top_set_nat) (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a9208 (= (tptp.finite410649719033368117t_unit tptp.top_to1996260823553986621t_unit) tptp.one_one_nat))
% 19.00/19.19  (assume a9209 (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)))))
% 19.00/19.19  (assume a9210 (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int tptp.top_top_set_int))))
% 19.00/19.19  (assume a9211 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.image_int_int tptp.abs_abs_int tptp.top_top_set_int)))))
% 19.00/19.19  (assume a9212 (forall ((N tptp.nat) (X2 tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2) (tptp.aa_real_real (tptp.the_in5290026491893676941l_real tptp.top_top_set_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_abe N)) X2))))))
% 19.00/19.19  (assume a9213 (forall ((N tptp.nat) (X2 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 X2) 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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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 X2 tptp.top_top_set_real)))))))
% 19.00/19.19  (assume a9214 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) H3)) S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D4)) (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 X2) H3))) (tptp.aa_real_real F X2)))))))))))))
% 19.00/19.19  (assume a9215 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) H3)) S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X2)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) H3))))))))))))))
% 19.00/19.19  (assume a9216 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) H3)) S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D4)) (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 X2) H3))) (tptp.aa_real_real F X2)))))))))))))
% 19.00/19.19  (assume a9217 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) H3)) S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X2)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) H3))))))))))))))
% 19.00/19.19  (assume a9218 (forall ((A tptp.real) (B tptp.real) (X2 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) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) (tptp.set_or1633881224788618240n_real A B))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y) (tptp.set_or1633881224788618240n_real A B))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1633881224788618240n_real A B))) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real F Y))))))))
% 19.00/19.19  (assume a9219 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (forall ((X4 tptp.real)) (=> (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) B)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) tptp.zero_zero_real))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B)) (tptp.aa_real_real F A)))))))
% 19.00/19.19  (assume a9220 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (forall ((X4 tptp.real)) (=> (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) B)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y3))))))) (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 B)))))))
% 19.00/19.19  (assume a9221 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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) D4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X2)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) H3)))))))))))))
% 19.00/19.19  (assume a9222 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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) D4)) (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 X2) H3))) (tptp.aa_real_real F X2))))))))))))
% 19.00/19.19  (assume a9223 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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) D4)) (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 X2) H3))) (tptp.aa_real_real F X2))))))))))))
% 19.00/19.19  (assume a9224 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((D4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D4)) (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) D4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X2)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) H3)))))))))))))
% 19.00/19.19  (assume a9225 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (F5 tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (forall ((X4 tptp.real)) (=> (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) B)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F5 X4) (tptp.topolo2177554685111907308n_real X4 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) B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B)) (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 B) A)) (tptp.aa_real_real F5 Z2)))))))))
% 19.00/19.19  (assume a9226 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((Y2 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 X2) Y2))) D)) (= (tptp.aa_real_real F X2) (tptp.aa_real_real F Y2)))) (= L tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9227 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X2) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9228 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((Y2 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 X2) Y2))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F Y2)) (tptp.aa_real_real F X2))))) (= L tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9229 (forall ((F tptp.fun_real_real) (L tptp.real) (X2 tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X2 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 ((Y2 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 X2) Y2))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X2)) (tptp.aa_real_real F Y2))))) (= L tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9230 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X2) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9231 (forall ((N tptp.nat) (X2 tptp.real) (S tptp.set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_abf 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.power_power_real X2) (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 X2 S))))
% 19.00/19.19  (assume a9232 (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_abg 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)))))
% 19.00/19.19  (assume a9233 (forall ((X2 tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (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 B)) X2)) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9234 (forall ((G tptp.fun_real_real) (M tptp.real) (X2 tptp.real) (R2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X2 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 X2))) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_abh 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 X2)) (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 X2 tptp.top_top_set_real))))))
% 19.00/19.19  (assume a9235 (forall ((G tptp.fun_real_real) (M tptp.real) (X2 tptp.real) (F tptp.fun_real_real) (R2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X2 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 X2))) (=> (tptp.has_fi5821293074295781190e_real F R2 (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_abi 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 X2)) (tptp.aa_real_real F X2))) (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 X2)))) (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 X2))) (tptp.aa_real_real G X2)))) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))))
% 19.00/19.19  (assume a9236 (forall ((X2 tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X2 A2)))))
% 19.00/19.19  (assume a9237 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (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 X2))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9238 (forall ((X2 tptp.real) (D5 tptp.real)) (=> (not (= X2 tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X2)) (= D5 (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 X2))) (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 X2) tptp.zero_zero_real)) (= D5 (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 X2)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.has_fi5821293074295781190e_real tptp.sqrt D5 (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))))
% 19.00/19.19  (assume a9239 (forall ((X2 tptp.real) (A2 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 X2)) 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X2 A2)))))
% 19.00/19.19  (assume a9240 (forall ((R tptp.real) (F tptp.fun_nat_real) (X0 tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (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_abj F) X4)))) (=> (tptp.pp (tptp.aa_set_real_bool (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_abl F) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abj F) X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real)))))))
% 19.00/19.19  (assume a9241 (forall ((N tptp.nat) (X2 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) X2)) (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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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 X2 tptp.top_top_set_real))))))
% 19.00/19.19  (assume a9242 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real))))))
% 19.00/19.19  (assume a9243 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X2 tptp.real) (N tptp.nat)) (=> (and (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (forall ((M3 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)))) (exists ((T6 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 T6)) (tptp.aa_real_real tptp.abs_abs_real X2))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abm Diff) X2)) (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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X2) N)))))))))
% 19.00/19.19  (assume a9244 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X2 tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M3 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (exists ((T6 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 T6)) (tptp.aa_real_real tptp.abs_abs_real X2))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abm Diff) X2)) (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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a9245 (forall ((N tptp.nat) (X2 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 (= X2 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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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 X2 tptp.top_top_set_real))))))
% 19.00/19.19  (assume a9246 (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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real)))) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_abn 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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N))))))))))))
% 19.00/19.19  (assume a9247 (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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real)))) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_abn 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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N)))))))))))
% 19.00/19.19  (assume a9248 (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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) tptp.zero_zero_real))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real)))) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) tptp.zero_zero_real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_abn 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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N))))))))))))
% 19.00/19.19  (assume a9249 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X2 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 (= X2 tptp.zero_zero_real)) (=> (forall ((M3 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (exists ((T6 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 T6))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T6)) (tptp.aa_real_real tptp.abs_abs_real X2))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abm Diff) X2)) (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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X2) N))))))))))))
% 19.00/19.19  (assume a9250 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X2 tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T6)) (tptp.aa_real_real tptp.abs_abs_real X2)))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real)))) (exists ((T6 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 T6)) (tptp.aa_real_real tptp.abs_abs_real X2))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abm Diff) X2)) (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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X2) N))))))))))
% 19.00/19.19  (assume a9251 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B 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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 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) B)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) C)) (= (tptp.aa_real_real F A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_abo 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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) N)))))))))))))
% 19.00/19.19  (assume a9252 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B 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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 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) B)) (exists ((T6 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) B)) (= (tptp.aa_real_real F B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_abo Diff) B) 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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) C)) N)))))))))))))
% 19.00/19.19  (assume a9253 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B tptp.real) (C tptp.real) (X2 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 ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 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) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) B)) (=> (not (= X2 C)) (exists ((T6 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) C)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) C))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T6) X2)))) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_abp Diff) C) X2)) (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) T6)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X2) C)) N))))))))))))))))
% 19.00/19.19  (assume a9254 (forall ((N tptp.nat) (H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (K tptp.nat) (B2 tptp.real)) (=> (forall ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M3) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real)))) (=> (= N (tptp.aa_nat_nat tptp.suc K)) (forall ((M2 tptp.nat) (T7 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T7)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T7) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_abr N) Diff) B2) M2) (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 M2)) T7)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_abs Diff) M2) T7)) (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 M2))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real T7) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M2)))) (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 M2))))))) (tptp.topolo2177554685111907308n_real T7 tptp.top_top_set_real))))))))
% 19.00/19.19  (assume a9255 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X2)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.aTP_Lamm_abt (tptp.suminf_real (tptp.aTP_Lamm_abu X2)) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9256 (forall ((N tptp.nat) (X2 tptp.real) (D5 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X2 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) X2)) (= D5 (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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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 X2) tptp.zero_zero_real)) (= D5 (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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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))) (= D5 (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.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X2)) (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) D5 (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real)))))))))
% 19.00/19.19  (assume a9257 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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.power_power_real X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real))))))
% 19.00/19.19  (assume a9258 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) 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 X2))))))))
% 19.00/19.19  (assume a9259 (forall ((X2 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 X2)) 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 X2)) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X2)))))))
% 19.00/19.19  (assume a9260 (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)))))))
% 19.00/19.19  (assume a9261 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X2)) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9262 (forall ((M5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat M5)) (=> (not (= M5 tptp.bot_bot_set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M5))) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat M5) (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat (tptp.comple7806235888213564991et_nat (tptp.image_nat_set_nat tptp.aTP_Lamm_abv M5)))))))))
% 19.00/19.19  (assume a9263 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi N))) N))))
% 19.00/19.19  (assume a9264 (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 ((X tptp.real)) (=> (and (not (= X 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) X))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) tptp.zero_zero_real))))))))))
% 19.00/19.19  (assume a9265 (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 ((X tptp.real)) (=> (and (not (= X 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) X))) R3))) (not (= (tptp.aa_real_real F X) tptp.zero_zero_real))))))))))
% 19.00/19.19  (assume a9266 (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 ((X tptp.real)) (=> (and (not (= X 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) X))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F X)))))))))))
% 19.00/19.19  (assume a9267 (forall ((A tptp.real) (X2 tptp.real) (B 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) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) B)) (=> (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) B)) (= (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) B)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real) F)))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real F X2) tptp.top_top_set_real) G)))))))
% 19.00/19.19  (assume a9268 (forall ((S2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat tptp.finite_card_nat S2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat S2)))))))
% 19.00/19.19  (assume a9269 (forall ((X6 tptp.set_nat)) (and (=> (= X6 tptp.bot_bot_set_nat) (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat X6) tptp.zero_zero_nat)) (=> (not (= X6 tptp.bot_bot_set_nat)) (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat X6) (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat X6))))))
% 19.00/19.19  (assume a9270 (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.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_abw N) M))))))))
% 19.00/19.19  (assume a9271 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real) tptp.arcosh_real))))
% 19.00/19.19  (assume a9272 (forall ((F tptp.fun_real_real) (D5 tptp.real) (G tptp.fun_real_real) (X2 tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F D5 (tptp.topolo2177554685111907308n_real (tptp.aa_real_real G X2) tptp.top_top_set_real)) (=> (not (= D5 tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) B)) (=> (forall ((Y2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Y2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) B)) (= (tptp.aa_real_real F (tptp.aa_real_real G Y2)) Y2)))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real) G) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real tptp.inverse_inverse_real D5) (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real))))))))))
% 19.00/19.19  (assume a9273 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real) tptp.arccos)))))
% 19.00/19.19  (assume a9274 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real) tptp.arcsin)))))
% 19.00/19.19  (assume a9275 (forall ((B tptp.real) (X2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) X2)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1633881224788618240n_real B X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 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 X2))))))))
% 19.00/19.19  (assume a9276 (forall ((X2 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)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X2 tptp.top_top_set_real) tptp.artanh_real)))))
% 19.00/19.19  (assume a9277 (forall ((D tptp.real) (X2 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) X2))) 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) X2))) 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 X2) tptp.top_top_set_real) G))))))
% 19.00/19.19  (assume a9278 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F5 tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (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) B)) (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) B)) (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) B)) (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) B)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F5 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) B)) (= (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 B)) (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 B)) (tptp.aa_real_real G A))) (tptp.aa_real_real F5 C3))))))))))))
% 19.00/19.19  (assume a9279 (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 ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_abx A))) (tptp.set_or1222579329274155063t_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5)) tptp.one_one_nat))))))))))))
% 19.00/19.19  (assume a9280 (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 ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_abx A))) (tptp.set_or1222579329274155063t_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5)) tptp.one_one_nat))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5))))))))))))
% 19.00/19.19  (assume a9281 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 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 N2)))) (=> (forall ((N2 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 N2))) (tptp.aa_nat_real A N2)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_aby A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_abx A))) tptp.at_top_nat))))))
% 19.00/19.19  (assume a9282 (not (= tptp.at_top_nat tptp.bot_bot_filter_nat)))
% 19.00/19.19  (assume a9283 (forall ((N tptp.int)) (=> (not (= N tptp.zero_zero_int)) (= (tptp.lattic8263393255366662781ax_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba N))) (tptp.aa_int_int tptp.abs_abs_int N)))))
% 19.00/19.19  (assume a9284 (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_abz C) tptp.at_top_nat tptp.at_top_nat))))
% 19.00/19.19  (assume a9285 (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))))
% 19.00/19.19  (assume a9286 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((R3 tptp.real)) (exists ((N7 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R3) (tptp.aa_nat_real X6 N2))))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_aca X6) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9287 (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.aTP_Lamm_acb C) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9288 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) L))) (=> (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)) (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 N5)) E)))))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L) tptp.at_top_nat))))))
% 19.00/19.19  (assume a9289 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.power_power_real X2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 19.00/19.19  (assume a9290 (forall ((X2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_acc X2) A) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9291 (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.power_power_real (tptp.aa_real_real tptp.abs_abs_real C)) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9292 (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.power_power_real C) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9293 (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X2)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_acd X2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9294 (forall ((X2 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 X2)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_zv X2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.00/19.19  (assume a9295 (forall ((A tptp.fun_nat_real)) (=> (forall ((N2 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 N2))) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 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 N2)))) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L3 tptp.real)) (and (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5)))) L3))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_ace A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))) N5)) tptp.one_one_nat)))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_aby A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat))))))))
% 19.00/19.19  (assume a9296 (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_aby A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_abx A))) tptp.at_top_nat)))))
% 19.00/19.19  (assume a9297 (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 ((N2 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 N2)))) (=> (forall ((N2 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 N2))) (tptp.aa_nat_real A N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.aTP_Lamm_abx A))) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx 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))))))))))
% 19.00/19.19  (assume a9298 (forall ((B tptp.real) (F tptp.fun_real_real) (Flim tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) X4)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) 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 B)))))))
% 19.00/19.19  (assume a9299 (forall ((N tptp.nat) (F tptp.fun_real_real) (F3 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 F3) (=> (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_acf N) F) tptp.at_top_real F3))))))
% 19.00/19.19  (assume a9300 (forall ((N tptp.nat) (F tptp.fun_real_real) (F3 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 F3) (=> (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_acf N) F) tptp.at_bot_real F3))))))
% 19.00/19.19  (assume a9301 (forall ((B tptp.real) (F tptp.fun_real_real) (Flim tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) B)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y3)))))) (=> (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 B)))))))
% 19.00/19.19  (assume a9302 (forall ((A tptp.real) (B 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) B)) (=> (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) B))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real) F))) (=> (forall ((X4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B))) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)))) (=> (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) B))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real) G))) (=> (forall ((X4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B))) (tptp.differ6690327859849518006l_real G (tptp.topolo2177554685111907308n_real X4 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) B)) (= (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 B)) (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 B)) (tptp.aa_real_real G A))) F_c)))))))))))
% 19.00/19.19  (assume a9303 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (= (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_acg P) K) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 19.00/19.19  (assume a9304 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat P tptp.at_top_nat) (exists ((N9 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N3)) (tptp.pp (tptp.aa_nat_bool P N3))))))))
% 19.00/19.19  (assume a9305 (forall ((C tptp.nat) (P tptp.fun_nat_bool)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) X4)) (tptp.pp (tptp.aa_nat_bool P X4)))) (tptp.eventually_nat P tptp.at_top_nat))))
% 19.00/19.19  (assume a9306 (forall ((F3 tptp.filter_nat)) (= (tptp.ord_le2510731241096832064er_nat F3 tptp.at_top_nat) (forall ((N9 tptp.nat)) (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) F3)))))
% 19.00/19.19  (assume a9307 (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_acg P) K) tptp.at_top_nat))))
% 19.00/19.19  (assume a9308 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ach B) A) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))
% 19.00/19.19  (assume a9309 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))))) (exists ((L3 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) B)) (tptp.has_fi5821293074295781190e_real F L3 (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 B)) (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 B) A)) L3)))))))))
% 19.00/19.19  (assume a9310 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (F5 tptp.fun_re7681423839302404990l_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_real F A) (tptp.aa_real_real F B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.has_de1759254742604945161l_real F (tptp.aa_rea7340605660300375871l_real F5 X4) (tptp.topolo2177554685111907308n_real X4 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) B)) (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real F5 Z2) X) tptp.zero_zero_real))))))))))
% 19.00/19.19  (assume a9311 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (F5 tptp.fun_re7681423839302404990l_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.has_de1759254742604945161l_real F (tptp.aa_rea7340605660300375871l_real F5 X4) (tptp.topolo2177554685111907308n_real X4 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) B)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B)) (tptp.aa_real_real F A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real F5 Xi) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)))))))))))))
% 19.00/19.19  (assume a9312 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))))) (= (tptp.aa_real_real F B) (tptp.aa_real_real F A)))))))
% 19.00/19.19  (assume a9313 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) tptp.zero_zero_real))))))) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B)) (tptp.aa_real_real F A))))))))
% 19.00/19.19  (assume a9314 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (exists ((Y3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y3 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y3))))))) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) 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 B))))))))
% 19.00/19.19  (assume a9315 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) B)) (= (tptp.aa_real_real F X2) (tptp.aa_real_real F A)))))))))
% 19.00/19.19  (assume a9316 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_real F A) (tptp.aa_real_real F B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) B)) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X4 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) B)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real))))))))))
% 19.00/19.19  (assume a9317 (forall ((L tptp.nat) (U tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_or6659071591806873216st_nat L U)))))
% 19.00/19.19  (assume a9318 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.set_or6659071591806873216st_nat L U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) L))))
% 19.00/19.19  (assume a9319 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc L) U) (tptp.set_or6659071591806873216st_nat L U))))
% 19.00/19.19  (assume a9320 (forall ((P tptp.fun_nat_bool) (B tptp.nat)) (=> (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 19.00/19.19  (assume a9321 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.order_Greatest_nat P)))))))
% 19.00/19.19  (assume a9322 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 19.00/19.19  (assume a9323 (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.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))))))
% 19.00/19.19  (assume a9324 (forall ((L tptp.int) (U tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_or6656581121297822940st_int L U)))))
% 19.00/19.19  (assume a9325 (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)))))
% 19.00/19.19  (assume a9326 (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))))
% 19.00/19.19  (assume a9327 (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat)))
% 19.00/19.19  (assume a9328 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ach A) B) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))
% 19.00/19.19  (assume a9329 (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)))))
% 19.00/19.19  (assume a9330 (= (tptp.comple7806235888213564991et_nat (tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.top_top_set_nat)) tptp.bot_bot_set_nat))
% 19.00/19.19  (assume a9331 (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat tptp.zero_zero_nat) tptp.top_top_set_nat))
% 19.00/19.19  (assume a9332 (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))))
% 19.00/19.19  (assume a9333 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_atLeast_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.00/19.19  (assume a9334 (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)))))
% 19.00/19.19  (assume a9335 (forall ((X6 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.condit2214826472909112428ve_nat X6)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat X6)))))
% 19.00/19.19  (assume a9336 (= tptp.topolo1511823702728130853y_real (tptp.comple2936214249959783750l_real (tptp.image_2178119161166701260l_real tptp.aTP_Lamm_acj (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.00/19.19  (assume a9337 (= tptp.topolo896644834953643431omplex (tptp.comple8358262395181532106omplex (tptp.image_5971271580939081552omplex tptp.aTP_Lamm_acl (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.00/19.19  (assume a9338 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.eventu1038000079068216329at_nat P (tptp.prod_filter_nat_nat tptp.at_top_nat tptp.at_top_nat)) (exists ((N9 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N3)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N3) M4)))))))))))
% 19.00/19.19  (assume a9339 (= (tptp.image_int_int tptp.abs_abs_int tptp.top_top_set_int) tptp.semiring_1_Nats_int))
% 19.00/19.19  (assume a9340 (= (tptp.comp_nat_nat_nat tptp.suc tptp.suc) (tptp.comp_nat_nat_nat tptp.suc tptp.suc)))
% 19.00/19.19  (assume a9341 (tptp.order_mono_nat_nat tptp.suc))
% 19.00/19.19  (assume a9342 (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)))))
% 19.00/19.19  (assume a9343 (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_acm K)))))
% 19.00/19.19  (assume a9344 (forall ((S2 tptp.set_int)) (= (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S2))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.image_int_nat (tptp.comp_int_nat_int tptp.nat2 tptp.abs_abs_int) S2)))))))
% 19.00/19.19  (assume a9345 (forall ((K5 tptp.set_int)) (= (tptp.gcd_Gcd_int K5) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat (tptp.image_int_nat (tptp.comp_int_nat_int tptp.nat2 tptp.abs_abs_int) K5))))))
% 19.00/19.19  (assume a9346 (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_set_real_bool (tptp.inj_on_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_abe N)) tptp.top_top_set_real)))))
% 19.00/19.19  (assume a9347 (= tptp.nat_prod_encode (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_acn)))
% 19.00/19.19  (assume a9348 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))))))
% 19.00/19.19  (assume a9349 (forall ((A tptp.nat) (B 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) B))))))
% 19.00/19.19  (assume a9350 (forall ((B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.inj_on_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B)) (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9351 (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))))
% 19.00/19.19  (assume a9352 (tptp.fun_is_measure_int (tptp.comp_int_nat_int tptp.nat2 tptp.abs_abs_int)))
% 19.00/19.19  (assume a9353 (forall ((N4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat tptp.suc) N4))))
% 19.00/19.19  (assume a9354 (forall ((N4 tptp.set_nat) (K tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N2)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aba K)) N4)))))
% 19.00/19.19  (assume a9355 (tptp.pp (tptp.aa_set_set_nat_bool (tptp.inj_on_set_nat_nat tptp.nat_set_encode) (tptp.collect_set_nat tptp.finite_finite_nat))))
% 19.00/19.19  (assume a9356 (forall ((X2 tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X2)) (=> (or (not (= X2 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 X2) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real (tptp.power_int_real X2) N))))))
% 19.00/19.19  (assume a9357 (forall ((X2 tptp.num)) (= (tptp.aa_num_num (tptp.pow X2) tptp.one) X2)))
% 19.00/19.19  (assume a9358 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.pow X2) (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 X2) Y))) X2))))
% 19.00/19.19  (assume a9359 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X2 (tptp.vEBT_Leaf Uu2 Uv2))) (= (tptp.pp Y) (not (= Xa2 tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (= (tptp.pp Y) (not (and (= Deg2 Xa2) (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.aa_VEB4832260192069861672t_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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima)))))))))))
% 19.00/19.19  (assume a9360 (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))))))
% 19.00/19.19  (assume a9361 (= (tptp.aa_num_num tptp.sqr tptp.one) tptp.one))
% 19.00/19.19  (assume a9362 (forall ((X2 tptp.num)) (= (tptp.aa_num_num tptp.sqr X2) (tptp.aa_num_num (tptp.times_times_num X2) X2))))
% 19.00/19.19  (assume a9363 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.pow X2) (tptp.aa_num_num tptp.bit0 Y)) (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.pow X2) Y)))))
% 19.00/19.19  (assume a9364 (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))))))
% 19.00/19.19  (assume a9365 (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima2 Deg TreeList) Summary)) Deg3)) (and (= Deg Deg3) (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.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X3) (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_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_aco Deg) TreeList) Summary)) Mima2)))))
% 19.00/19.19  (assume a9366 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2))) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X2 (tptp.vEBT_Leaf Uu2 Uv2))) (= Xa2 tptp.one_one_nat)) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (and (= Deg2 Xa2) (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.aa_VEB4832260192069861672t_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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima)))))))))
% 19.00/19.19  (assume a9367 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X2 (tptp.vEBT_Leaf Uu2 Uv2))) (not (= Xa2 tptp.one_one_nat))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (not (and (= Deg2 Xa2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X) (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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima))))))))))
% 19.00/19.19  (assume a9368 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf Uu2 Uv2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Xa2)) (= Xa2 tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2) Xa2)) (and (= Deg2 Xa2) (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.aa_VEB4832260192069861672t_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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima)))))))))))
% 19.00/19.19  (assume a9369 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf Uu2 Uv2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Xa2)) (not (= Xa2 tptp.one_one_nat))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2) Xa2)) (not (and (= Deg2 Xa2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X) (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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima))))))))))))
% 19.00/19.19  (assume a9370 (forall ((X2 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_VEBT_valid X2) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X2 Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X2 (tptp.vEBT_Leaf Uu2 Uv2)) (=> (= (tptp.pp Y) (= Xa2 tptp.one_one_nat)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Xa2)))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X2 (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2)) (=> (= (tptp.pp Y) (and (= Deg2 Xa2) (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.aa_VEB4832260192069861672t_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.aa_VEB4832260192069861672t_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_aco Deg2) TreeList2) Summary2)) Mima))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.aa_VEB5832953974749077948T_VEBT (tptp.vEBT_Node Mima Deg2 TreeList2) Summary2) Xa2))))))))))))
% 19.00/19.19  (assume a9371 (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.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.set_or4665077453230672383an_nat I J) (tptp.set_or4665077453230672383an_nat J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))))
% 19.00/19.19  (assume a9372 (= tptp.sup_sup_nat tptp.ord_max_nat))
% 19.00/19.19  (assume a9373 (= tptp.sup_sup_int tptp.ord_max_int))
% 19.00/19.19  (assume a9374 (= tptp.field_5140801741446780682s_real (tptp.collect_real tptp.aTP_Lamm_acp)))
% 19.00/19.19  (assume a9375 (forall ((X2 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) tptp.field_5140801741446780682s_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y)))))))
% 19.00/19.19  (assume a9376 (forall ((X2 tptp.real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) tptp.field_5140801741446780682s_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) X2))))))
% 19.00/19.19  (assume a9377 (forall ((A tptp.int) (B 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.divide_divide_int A) B))) (tptp.aa_int_rat (tptp.fract A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B)) (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.divide_divide_int A) B)) tptp.one_one_int)))))))
% 19.00/19.19  (assume a9378 (forall ((B tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B 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) B)) (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 B) 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) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 19.00/19.19  (assume a9379 (forall ((P tptp.fun_rat_bool) (Q2 tptp.rat)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B3)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_int_rat (tptp.fract A3) B3))))) (tptp.pp (tptp.aa_rat_bool P Q2)))))
% 19.00/19.19  (assume a9380 (forall ((B 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) B)) (= (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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A))))))
% 19.00/19.19  (assume a9381 (forall ((B 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) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B)) 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))))))
% 19.00/19.19  (assume a9382 (forall ((B 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) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 19.00/19.19  (assume a9383 (forall ((B 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) B)) (= (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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 19.00/19.19  (assume a9384 (forall ((B 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) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat (tptp.fract A) B)) 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))))))
% 19.00/19.19  (assume a9385 (forall ((B 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) B)) (= (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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 19.00/19.19  (assume a9386 (forall ((B 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) B)) (= (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) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 19.00/19.19  (assume a9387 (forall ((B 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) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat (tptp.fract A) B)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 19.00/19.19  (assume a9388 (forall ((F tptp.fun_real_real) (F5 tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F5 X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (=> (forall ((X4 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F5 X4)))) (tptp.order_7092887310737990675l_real F)))))
% 19.00/19.19  (assume a9389 (forall ((M tptp.num)) (= (tptp.bit_take_bit_num tptp.zero_zero_nat M) tptp.none_num)))
% 19.00/19.19  (assume a9390 (= tptp.semiri1316708129612266289at_nat tptp.id_nat))
% 19.00/19.19  (assume a9391 (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))))))
% 19.00/19.19  (assume a9392 (forall ((S2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (exists ((R3 tptp.fun_nat_nat)) (and (tptp.order_5726023648592871131at_nat R3) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat R3 N5)) S2))))))))
% 19.00/19.19  (assume a9393 (= 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_aat))))
% 19.00/19.19  (assume a9394 (= 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_aav))))
% 19.00/19.19  (assume a9395 (= tptp.nat2 (tptp.map_fu2345160673673942751at_nat tptp.rep_Integ tptp.id_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat))))
% 19.00/19.19  (assume a9396 (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)))))))))
% 19.00/19.19  (assume a9397 (forall ((Q2 tptp.num)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) Q2)))
% 19.00/19.19  (assume a9398 (= (tptp.aa_nat_num tptp.num_of_nat tptp.zero_zero_nat) tptp.one))
% 19.00/19.19  (assume a9399 (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))))
% 19.00/19.19  (assume a9400 (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))))
% 19.00/19.19  (assume a9401 (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))))))
% 19.00/19.19  (assume a9402 (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)))))))
% 19.00/19.19  (assume a9403 (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)))))
% 19.00/19.19  (assume a9404 (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))))
% 19.00/19.19  (assume a9405 (forall ((P tptp.fun_num_bool) (X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P tptp.one)) (=> (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P (tptp.aa_num_num tptp.inc X4))))) (tptp.pp (tptp.aa_num_bool P X2))))))
% 19.00/19.19  (assume a9406 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num X2) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num tptp.inc (tptp.aa_num_num (tptp.plus_plus_num X2) Y)))))
% 19.00/19.19  (assume a9407 (= (tptp.aa_num_num tptp.inc tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 19.00/19.19  (assume a9408 (forall ((X2 tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit0 X2)) (tptp.aa_num_num tptp.bit1 X2))))
% 19.00/19.19  (assume a9409 (forall ((X2 tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit1 X2)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.inc X2)))))
% 19.00/19.19  (assume a9410 (forall ((X2 tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num X2) tptp.one) (tptp.aa_num_num tptp.inc X2))))
% 19.00/19.19  (assume a9411 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 19.00/19.19  (assume a9412 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.inc N)) (tptp.aa_num_num tptp.bit1 N))))
% 19.00/19.19  (assume a9413 (forall ((X2 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num X2) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num (tptp.times_times_num X2) Y)) X2))))
% 19.00/19.19  (assume a9414 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_int_rat (tptp.fract A) B))) (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) B))))))
% 19.00/19.19  (assume a9415 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X2) Y)) (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_rat_rat (tptp.minus_minus_rat Y) X2))))))
% 19.00/19.19  (assume a9416 (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)))))
% 19.00/19.19  (assume a9417 (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)))
% 19.00/19.19  (assume a9418 (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)))
% 19.00/19.19  (assume a9419 (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)))))
% 19.00/19.19  (assume a9420 (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))))))
% 19.00/19.19  (assume a9421 (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)))))
% 19.00/19.19  (assume a9422 (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)))))
% 19.00/19.19  (assume a9423 (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))))
% 19.00/19.19  (assume a9424 (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_acq N)) M))))
% 19.00/19.19  (assume a9425 (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_acr N)) M))))
% 19.00/19.19  (assume a9426 (= tptp.inf_inf_nat tptp.ord_min_nat))
% 19.00/19.19  (assume a9427 (= tptp.inf_inf_int tptp.ord_min_int))
% 19.00/19.19  (assume a9428 (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)))))
% 19.00/19.19  (assume a9429 (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.set_or6659071591806873216st_nat I J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.set_or6659071591806873216st_nat (tptp.aa_nat_nat tptp.suc I) J)))))))
% 19.00/19.19  (assume a9430 (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.set_or5834768355832116004an_nat I J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.set_or5834768355832116004an_nat (tptp.aa_nat_nat tptp.suc I) J)))))))
% 19.00/19.19  (assume a9431 (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)))))
% 19.00/19.19  (assume a9432 (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)))))
% 19.00/19.19  (assume a9433 (forall ((X2 tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X2) Y) (=> (=> (= X2 tptp.nil_nat) (not (= Y tptp.zero_zero_nat))) (not (forall ((X4 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X2 (tptp.cons_nat X4 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 X4) (tptp.nat_list_encode Xs2)))))))))))))
% 19.00/19.19  (assume a9434 (= (tptp.nat_list_encode tptp.nil_nat) tptp.zero_zero_nat))
% 19.00/19.19  (assume a9435 (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)))))))
% 19.00/19.19  (assume a9436 (forall ((X2 tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X2 Xa2) Y) (=> (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int X2 Xa2)) (not (=> (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa2)) (= Y (tptp.cons_int X2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) tptp.one_one_int) Xa2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa2))) (= Y tptp.nil_int))) (not (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int X2 Xa2)))))))))
% 19.00/19.19  (assume a9437 (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))))))
% 19.00/19.19  (assume a9438 (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))))
% 19.00/19.19  (assume a9439 (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)))))
% 19.00/19.19  (assume a9440 (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)))))
% 19.00/19.19  (assume a9441 (forall ((I tptp.int)) (= (tptp.upto I I) (tptp.cons_int I tptp.nil_int))))
% 19.00/19.19  (assume a9442 (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))))))
% 19.00/19.19  (assume a9443 (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)))))
% 19.00/19.19  (assume a9444 (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)))))
% 19.00/19.19  (assume a9445 (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)))))
% 19.00/19.19  (assume a9446 (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)))))
% 19.00/19.19  (assume a9447 (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)))))
% 19.00/19.19  (assume a9448 (forall ((I tptp.int) (J tptp.int)) (= (tptp.upto I J) (tptp.upto_aux I J tptp.nil_int))))
% 19.00/19.19  (assume a9449 (forall ((I tptp.int) (J tptp.int) (Js tptp.list_int)) (= (tptp.upto_aux I J Js) (tptp.append_int (tptp.upto I J) Js))))
% 19.00/19.19  (assume a9450 (forall ((I tptp.int) (J tptp.int)) (= (tptp.set_or1266510415728281911st_int I J) (tptp.set_int2 (tptp.upto I J)))))
% 19.00/19.19  (assume a9451 (forall ((I tptp.int) (J tptp.int)) (tptp.pp (tptp.aa_list_int_bool tptp.distinct_int (tptp.upto I J)))))
% 19.00/19.19  (assume a9452 (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)))))))
% 19.00/19.19  (assume a9453 (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)))))))
% 19.00/19.19  (assume a9454 (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))))))
% 19.00/19.19  (assume a9455 (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)))))
% 19.00/19.19  (assume a9456 (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))))))
% 19.00/19.19  (assume a9457 (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)))))
% 19.00/19.19  (assume a9458 (forall ((X2 tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X2 Xa2) Y) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa2)) (= Y (tptp.cons_int X2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) tptp.one_one_int) Xa2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa2))) (= Y tptp.nil_int))))))
% 19.00/19.19  (assume a9459 (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))))))
% 19.00/19.19  (assume a9460 (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))))))
% 19.00/19.19  (assume a9461 (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))))))))
% 19.00/19.19  (assume a9462 (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))))))
% 19.00/19.19  (assume a9463 (forall ((Z tptp.complex) (X2 tptp.real)) (=> (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Z) (tptp.aa_real_complex tptp.cis X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) tptp.pi)) (= (tptp.aa_complex_real tptp.arg Z) X2))))))
% 19.00/19.19  (assume a9464 (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_set_complex_bool (tptp.bij_betw_nat_complex (tptp.aTP_Lamm_acs N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw N)))))))
% 19.00/19.19  (assume a9465 (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.pp (tptp.aa_set_complex_bool (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.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw N))) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_aak C) N))))))))
% 19.00/19.19  (assume a9466 (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_act Z)))))))
% 19.00/19.19  (assume a9467 (forall ((M5 tptp.set_nat) (N4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.bij_betw_nat_nat tptp.suc) M5) N4)) (= (tptp.image_nat_nat tptp.suc M5) N4))))
% 19.00/19.19  (assume a9468 (forall ((M tptp.nat)) (= (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_uf M))) (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M) (tptp.aTP_Lamm_acu M)))))
% 19.00/19.19  (assume a9469 (= tptp.bNF_Ca8459412986667044542atLess (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_nat))))
% 19.00/19.19  (assume a9470 (forall ((X2 tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X2) Y) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) X2)) (=> (=> (= X2 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 ((X4 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X2 (tptp.cons_nat X4 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 X4) (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 X4 Xs2)))))))))))))
% 19.00/19.19  (assume a9471 (forall ((N tptp.nat)) (= (tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq (tptp.produc457027306803732586at_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N)) (tptp.aTP_Lamm_acv N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_acw N))))))
% 19.00/19.19  (assume a9472 (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)))))
% 19.00/19.19  (assume a9473 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.remdups_nat (tptp.upt M N)) (tptp.upt M N))))
% 19.00/19.19  (assume a9474 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.tl_nat (tptp.upt M N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M) N))))
% 19.00/19.19  (assume a9475 (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))))
% 19.00/19.19  (assume a9476 (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))))
% 19.00/19.19  (assume a9477 (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))))
% 19.00/19.19  (assume a9478 (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))))))
% 19.00/19.19  (assume a9479 (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))))
% 19.00/19.19  (assume a9480 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.set_or4665077453230672383an_nat M N)) (tptp.upt M N))))
% 19.00/19.19  (assume a9481 (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))))))
% 19.00/19.19  (assume a9482 (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)))))
% 19.00/19.19  (assume a9483 (forall ((I tptp.nat) (J tptp.nat)) (tptp.pp (tptp.aa_list_nat_bool tptp.distinct_nat (tptp.upt I J)))))
% 19.00/19.19  (assume a9484 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.set_or5834768355832116004an_nat N M) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) M)))))
% 19.00/19.19  (assume a9485 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.set_nat2 (tptp.upt tptp.zero_zero_nat N)))))
% 19.00/19.19  (assume a9486 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.set_or4665077453230672383an_nat I J) (tptp.set_nat2 (tptp.upt I J)))))
% 19.00/19.19  (assume a9487 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.set_or1269000886237332187st_nat N M) (tptp.set_nat2 (tptp.upt N (tptp.aa_nat_nat tptp.suc M))))))
% 19.00/19.19  (assume a9488 (forall ((N tptp.nat) (M tptp.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))))))
% 19.00/19.19  (assume a9489 (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)))))
% 19.00/19.19  (assume a9490 (forall ((I tptp.nat)) (= (tptp.upt I tptp.zero_zero_nat) tptp.nil_nat)))
% 19.00/19.19  (assume a9491 (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))))))
% 19.00/19.19  (assume a9492 (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))))))
% 19.00/19.19  (assume a9493 (= tptp.bNF_Ca8665028551170535155natLeq (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_eq_nat))))
% 19.00/19.19  (assume a9494 (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)))))))
% 19.00/19.19  (assume a9495 (forall ((I tptp.nat) (J tptp.nat) (X2 tptp.nat) (Xs tptp.list_nat)) (= (= (tptp.upt I J) (tptp.cons_nat X2 Xs)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= I X2) (= (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat) J) Xs)))))
% 19.00/19.19  (assume a9496 (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)))))
% 19.00/19.19  (assume a9497 (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)))))
% 19.00/19.19  (assume a9498 (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))))))
% 19.00/19.19  (assume a9499 (forall ((N tptp.nat)) (= (tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq (tptp.produc457027306803732586at_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq N) (tptp.aTP_Lamm_acx N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_acw N))))))
% 19.00/19.19  (assume a9500 (forall ((N tptp.nat)) (= (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq N) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N)))))
% 19.00/19.19  (assume a9501 (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)))))
% 19.00/19.19  (assume a9502 (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)))))
% 19.00/19.19  (assume a9503 (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)))))
% 19.00/19.19  (assume a9504 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.map_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acy 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)))))
% 19.00/19.19  (assume a9505 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.aTP_Lamm_acz (tptp.upt (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.upt M N))))
% 19.00/19.19  (assume a9506 (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_cg) (tptp.set_or4665077453230672383an_nat M N))))))
% 19.00/19.19  (assume a9507 (forall ((M tptp.nat) (N4 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_ada M) N4))) (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_adb M) N4)))) (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_adc M) N4))))))))
% 19.00/19.19  (assume a9508 (forall ((M tptp.nat) (N4 tptp.nat)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ada M) N4))) (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 N4) M)) tptp.one_one_nat)) N4))))
% 19.00/19.19  (assume a9509 (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)))))
% 19.00/19.19  (assume a9510 (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)))))
% 19.00/19.19  (assume a9511 (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)))))))
% 19.00/19.19  (assume a9512 (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)))))
% 19.00/19.19  (assume a9513 (forall ((M tptp.int) (N tptp.int)) (tptp.pp (tptp.aa_list_int_bool (tptp.sorted_wrt_int tptp.ord_less_eq_int) (tptp.upto M N)))))
% 19.00/19.19  (assume a9514 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.linord738340561235409698at_nat tptp.aTP_Lamm_cg (tptp.upt M N)) (tptp.upt M N))))
% 19.00/19.19  (assume a9515 (forall ((I tptp.int) (J tptp.int)) (= (tptp.linord1735203802627413978nt_int tptp.aTP_Lamm_ch (tptp.upto I J)) (tptp.upto I J))))
% 19.00/19.19  (assume a9516 (forall ((N tptp.nat)) (= (tptp.field_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_acw N)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay N)))))
% 19.00/19.19  (assume a9517 (tptp.wf_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_nat))))
% 19.00/19.19  (assume a9518 (forall ((D tptp.int)) (tptp.wf_int (tptp.int_ge_less_than2 D))))
% 19.00/19.19  (assume a9519 (forall ((D tptp.int)) (tptp.wf_int (tptp.int_ge_less_than D))))
% 19.00/19.19  (assume a9520 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.cauchy X6) (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 ((K2 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) 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 X6 M4)) (tptp.aa_nat_rat X6 N3)))) R5))))))))))))
% 19.00/19.19  (assume a9521 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (exists ((B3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B3)) (forall ((N5 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 X6 N5))) B3))))))))
% 19.00/19.19  (assume a9522 (forall ((X6 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.cauchy X6) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (exists ((K3 tptp.nat)) (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) M2)) (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 X6 M2)) (tptp.aa_nat_rat X6 N5)))) R2)))))))))))
% 19.00/19.19  (assume a9523 (forall ((X6 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 ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) M3)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N2)) (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 X6 M3)) (tptp.aa_nat_rat X6 N2)))) R3))))))))) (tptp.cauchy X6))))
% 19.00/19.19  (assume a9524 (forall ((X6 tptp.fun_nat_rat) (Y5 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (tptp.cauchy Y5) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.real2 X6)) (tptp.real2 Y5))) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N3)) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat Y5 N3)) R5)))))))))))))
% 19.00/19.19  (assume a9525 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (not (tptp.vanishes X6)) (exists ((B3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B3)) (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 B3) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X6 N5)))))))))))))
% 19.00/19.19  (assume a9526 (forall ((X6 tptp.fun_nat_rat) (Y5 tptp.fun_nat_rat)) (=> (exists ((A8 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A8)) (forall ((N2 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 X6 N2))) A8))))) (=> (tptp.vanishes Y5) (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_add X6) Y5))))))
% 19.00/19.19  (assume a9527 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.vanishes X6) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) 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 X6 N3))) R5))))))))))
% 19.00/19.19  (assume a9528 (forall ((X6 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 ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N2)) (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 X6 N2))) R3))))))) (tptp.vanishes X6))))
% 19.00/19.19  (assume a9529 (forall ((X6 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.vanishes X6) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (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 X6 N5))) R2)))))))))
% 19.00/19.19  (assume a9530 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (not (tptp.vanishes X6)) (exists ((B3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B3)) (exists ((K3 tptp.nat)) (or (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 B3) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat X6 N5)))))) (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 B3) (tptp.aa_nat_rat X6 N5)))))))))))))
% 19.00/19.19  (assume a9531 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (= (not (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.real2 X6)))) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N3)) R5)))))))))))
% 19.00/19.19  (assume a9532 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (= (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.real2 X6))) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat X6 N3))))))))))))
% 19.00/19.19  (assume a9533 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Y)) (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) X2))))))
% 19.00/19.19  (assume a9534 (forall ((X2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.positive2 X2)) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N3)) (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 X2) N3)))))))))))
% 19.00/19.19  (assume a9535 (= tptp.positive2 (tptp.map_fu1722713901878115497l_bool tptp.rep_real tptp.id_bool tptp.aTP_Lamm_ade)))
% 19.00/19.19  (assume a9536 (forall ((S2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (tptp.order_5726023648592871131at_nat (tptp.infini8530281810654367211te_nat S2)))))
% 19.00/19.19  (assume a9537 (forall ((S2 tptp.set_nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool 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))))))
% 19.00/19.19  (assume a9538 (forall ((S2 tptp.set_nat) (S tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat S) S2)) (exists ((N2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.infini8530281810654367211te_nat S2) N2) S))))))
% 19.00/19.19  (assume a9539 (forall ((S2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (= (tptp.image_nat_nat (tptp.infini8530281810654367211te_nat S2) tptp.top_top_set_nat) S2))))
% 19.00/19.19  (assume a9540 (forall ((S2 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_set_nat_nat 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)))))))
% 19.00/19.19  (assume a9541 (forall ((S2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.bij_betw_nat_nat (tptp.infini8530281810654367211te_nat S2)) tptp.top_top_set_nat) S2)))))
% 19.00/19.19  (assume a9542 (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))))
% 19.00/19.19  (assume a9543 (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_adf P))))))))
% 19.00/19.19  (assume a9544 (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 ((K3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K3))) (tptp.pp (tptp.aa_nat_bool Q K3)))) (= (tptp.ord_Least_nat P) (tptp.aa_nat_nat tptp.suc (tptp.ord_Least_nat Q)))))))))
% 19.00/19.19  (assume a9545 (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_Code_integer tptp.code_integer_of_int K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_int_Code_integer 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.aa_int_Code_integer tptp.code_integer_of_int K) tptp.zero_z3403309356797280102nteger)) (=> (not (= K tptp.zero_zero_int)) (= (tptp.aa_int_Code_integer 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.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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int_Code_integer tptp.code_integer_of_int (tptp.aa_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.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int_Code_integer tptp.code_integer_of_int (tptp.aa_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)))))))))
% 19.00/19.19  (assume a9546 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a9547 (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)))))
% 19.00/19.19  (assume a9548 (forall ((Xa2 tptp.int) (X2 tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.code_integer_of_int Xa2)) (tptp.aa_int_Code_integer tptp.code_integer_of_int X2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Xa2) X2)))))
% 19.00/19.19  (assume a9549 (forall ((K tptp.code_integer)) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (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.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.sgn_sgn_Code_integer K) tptp.one_one_Code_integer)))))))
% 19.00/19.19  (assume a9550 (= tptp.zero_zero_nat tptp.zero_zero_nat))
% 19.00/19.19  (assume a9551 (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_adg (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.00/19.19  (assume a9552 (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_adh (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.19  (assume a9553 (forall ((K tptp.code_integer)) (=> (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))))
% 19.00/19.19  (assume a9554 (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))))))
% 19.00/19.19  (assume a9555 (forall ((X2 tptp.code_integer) (Xa2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X2) Xa2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.code_int_of_integer X2)) (tptp.code_int_of_integer Xa2))))))
% 19.00/19.19  (assume a9556 (= (tptp.code_nat_of_integer tptp.zero_z3403309356797280102nteger) tptp.zero_zero_nat))
% 19.00/19.19  (assume a9557 (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_adi K) (tptp.code_divmod_abs K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.00/19.19  (assume a9558 (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)))))
% 19.00/19.19  (assume a9559 (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_adj 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.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_adk L) (tptp.code_divmod_abs K L)))))))))))))
% 19.00/19.19  (assume a9560 (forall ((A2 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat tptp.zero_zero_nat A2)) (tptp.vimage_nat_nat tptp.suc A2))))
% 19.00/19.19  (assume a9561 (forall ((F3 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.vimage_nat_nat tptp.suc F3))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)))))
% 19.00/19.19  (assume a9562 (forall ((P3 tptp.rat) (Q2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat P3) Q2)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_adm Q2)) (tptp.quotient_of P3))))))
% 19.00/19.19  (assume a9563 (forall ((R2 tptp.rat) (P3 tptp.int) (Q2 tptp.int)) (=> (= (tptp.quotient_of R2) (tptp.product_Pair_int_int P3 Q2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q2)))))
% 19.00/19.19  (assume a9564 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_on Uu) (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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uu)) 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 Uu) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9565 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_acz Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.00/19.19  (assume a9566 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_mw Uu) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) tptp.one_one_complex))))
% 19.00/19.19  (assume a9567 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_mz Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) tptp.one_one_real))))
% 19.00/19.19  (assume a9568 (forall ((Uu tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_mx Uu) (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) tptp.one_one_rat))))
% 19.00/19.19  (assume a9569 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_na Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) tptp.one_one_nat))))
% 19.00/19.19  (assume a9570 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_my Uu) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) tptp.one_one_int))))
% 19.00/19.19  (assume a9571 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_abt Uu) (tptp.suminf_real (tptp.aTP_Lamm_yi Uu)))))
% 19.00/19.19  (assume a9572 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_set_nat tptp.aTP_Lamm_abv Uu) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi Uu)))))
% 19.00/19.19  (assume a9573 (forall ((Uu tptp.real)) (= (tptp.aa_rea5117059003799598681omplex tptp.aTP_Lamm_acl Uu) (tptp.princi3496590319149328850omplex (tptp.collec8663557070575231912omplex (tptp.produc9214369023355538061x_bool (tptp.aTP_Lamm_ack Uu)))))))
% 19.00/19.19  (assume a9574 (forall ((Uu tptp.real)) (= (tptp.aa_rea5428163979925208277l_real tptp.aTP_Lamm_acj Uu) (tptp.princi6114159922880469582l_real (tptp.collec3799799289383736868l_real (tptp.produc5257810830037637649l_bool (tptp.aTP_Lamm_aci Uu)))))))
% 19.00/19.19  (assume a9575 (forall ((Uu tptp.nat)) (= (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_ff Uu) (tptp.product_Pair_nat_nat (tptp.aa_nat_nat tptp.suc Uu)))))
% 19.00/19.19  (assume a9576 (forall ((Uu tptp.int)) (= (tptp.aa_int_nat tptp.aTP_Lamm_abb Uu) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int Uu)))))
% 19.00/19.19  (assume a9577 (forall ((Uu tptp.fun_nat_rat)) (= (tptp.pp (tptp.aa_fun_nat_rat_bool tptp.aTP_Lamm_ade Uu)) (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 ((K2 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat Uu N3)))))))))))
% 19.00/19.19  (assume a9578 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_acp Uu)) (exists ((I5 tptp.int) (N3 tptp.nat)) (and (= Uu (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))) (not (= N3 tptp.zero_zero_nat)))))))
% 19.00/19.19  (assume a9579 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_xj Uu) Uua) (tptp.if_Code_integer (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.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua)) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a9580 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_xh Uu) Uua) (tptp.aa_complex_complex (tptp.if_complex (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.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9581 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xl Uu) 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.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9582 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_xi Uu) Uua) (tptp.aa_rat_rat (tptp.if_rat (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.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9583 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xk Uu) Uua) (tptp.aa_int_int (tptp.if_int (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.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_int))))
% 19.00/19.19  (assume a9584 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_int (tptp.aa_Cod1242632294114111009er_int tptp.aTP_Lamm_adg Uu) 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 Uu))) (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 Uu))) tptp.one_one_int)))))
% 19.00/19.19  (assume a9585 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_nat2010205248571845816nteger tptp.aTP_Lamm_ml Uu) Uua) (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uu)) (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uu)) tptp.one_one_Code_integer)))))
% 19.00/19.19  (assume a9586 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_nat2025370463774033377d_enat tptp.aTP_Lamm_mk Uu) Uua) (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uu)) (tptp.plus_p3455044024723400733d_enat (tptp.times_7803423173614009249d_enat (tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uu)) tptp.one_on7984719198319812577d_enat)))))
% 19.00/19.19  (assume a9587 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex tptp.aTP_Lamm_mi Uu) Uua) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uu))) (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_nat_complex tptp.semiri8010041392384452111omplex Uu))) tptp.one_one_complex)))))
% 19.00/19.19  (assume a9588 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_mn Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat)) (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 Uu))) (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_nat_real tptp.semiri5074537144036343181t_real Uu))) tptp.one_one_real)))))
% 19.00/19.19  (assume a9589 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat tptp.aTP_Lamm_mj Uu) Uua) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu))) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu))) tptp.one_one_rat)))))
% 19.00/19.19  (assume a9590 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_mo Uu) Uua) (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 Uua) tptp.zero_zero_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.semiri1316708129612266289at_nat Uu))) (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.semiri1316708129612266289at_nat Uu))) tptp.one_one_nat)))))
% 19.00/19.19  (assume a9591 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_mm Uu) Uua) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (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.semiri1314217659103216013at_int Uu))) (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_nat_int tptp.semiri1314217659103216013at_int Uu))) tptp.one_one_int)))))
% 19.00/19.19  (assume a9592 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_nat (tptp.aa_Cod5420483313623307717er_nat tptp.aTP_Lamm_adh Uu) 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 Uu)) (tptp.code_nat_of_integer Uu))) (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 Uu)) (tptp.code_nat_of_integer Uu))) tptp.one_one_nat)))))
% 19.00/19.19  (assume a9593 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_xe Uu) Uua) (tptp.if_Code_integer (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))) Uua)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua)) tptp.zero_z3403309356797280102nteger))))
% 19.00/19.19  (assume a9594 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_xc Uu) Uua) (tptp.aa_complex_complex (tptp.if_complex (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))) Uua)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9595 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xg Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (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))) Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9596 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_xd Uu) Uua) (tptp.aa_rat_rat (tptp.if_rat (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))) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9597 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xf Uu) Uua) (tptp.aa_int_int (tptp.if_int (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))) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))) tptp.zero_zero_int))))
% 19.00/19.19  (assume a9598 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_uj Uu) Uua) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ui Uu) Uua)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 19.00/19.19  (assume a9599 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_uh Uu) Uua) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_ug Uu) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 19.00/19.19  (assume a9600 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_vi Uu) Uua) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_vh Uu) Uua)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 19.00/19.19  (assume a9601 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_vg Uu) Uua) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ui Uu) Uua)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 19.00/19.19  (assume a9602 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_mp Uu) 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.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.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.00/19.19  (assume a9603 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aab Uu) 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.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.power_power_real Uu) (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))))))
% 19.00/19.19  (assume a9604 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_xt Uu) Uua) (tptp.times_3573771949741848930nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Uua) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uua)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9605 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_xr Uu) Uua) (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.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Uua)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9606 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xv Uu) 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.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9607 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_xs Uu) Uua) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_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)) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9608 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xu Uu) Uua) (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_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9609 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_zq Uu) Uua) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) Uua))) Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 19.00/19.19  (assume a9610 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_zr Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) Uua))) Uua)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 19.00/19.19  (assume a9611 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_aae Uu) 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) Uu)))))
% 19.00/19.19  (assume a9612 (forall ((Uu tptp.complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_act Uu) Uua)) (and (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Uu) (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))))))
% 19.00/19.19  (assume a9613 (forall ((Uu tptp.real) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_real_fun_int_bool tptp.aTP_Lamm_aaf Uu) 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)) Uu)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uu) (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))))))))
% 19.00/19.19  (assume a9614 (forall ((Uu tptp.rat) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_aag Uu) 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)) Uu)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Uu) (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))))))))
% 19.00/19.19  (assume a9615 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yi Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_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.power_power_real Uu) (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)))))))
% 19.00/19.19  (assume a9616 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_abu Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real (tptp.power_power_real Uu) (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))))))))
% 19.00/19.19  (assume a9617 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_abx Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9618 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_xo Uu) Uua) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Uua) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9619 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_xm Uu) Uua) (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)) Uua)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9620 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_xq Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9621 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_xn Uu) Uua) (tptp.aa_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)) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9622 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_xp Uu) Uua) (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)) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 19.00/19.19  (assume a9623 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ys Uu) Uua) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))) Uua))))
% 19.00/19.19  (assume a9624 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yu Uu) Uua) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) Uua))))
% 19.00/19.19  (assume a9625 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_yt Uu) Uua) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))) Uua))))
% 19.00/19.19  (assume a9626 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_yj Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex Uu) Uua)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Uu) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 19.00/19.19  (assume a9627 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yl Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real Uu) Uua)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uu) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 19.00/19.19  (assume a9628 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_yk Uu) Uua) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat Uu) Uua)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat Uu) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 19.00/19.19  (assume a9629 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aaa Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real Uu) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua)))))
% 19.00/19.19  (assume a9630 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acm Uu) 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 Uu) Uua)) Uua))))
% 19.00/19.19  (assume a9631 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xx Uu) 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 Uu) Uua)) Uu))))
% 19.00/19.19  (assume a9632 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xw Uu) 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 Uu) Uua)) Uua))))
% 19.00/19.19  (assume a9633 (forall ((Uu tptp.nat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool tptp.aTP_Lamm_cw Uu) Uua)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uu) tptp.one_one_complex))))
% 19.00/19.19  (assume a9634 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_cv Uu) Uua)) (= (tptp.aa_nat_real (tptp.power_power_real Uua) Uu) tptp.one_one_real))))
% 19.00/19.19  (assume a9635 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_zv Uu) 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.power_power_real Uu) (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))))))
% 19.00/19.19  (assume a9636 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ta Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9637 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_tb Uu) Uua) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9638 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_td Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9639 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_tc Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9640 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_lu Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9641 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lr Uu) Uua) (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9642 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_lt Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9643 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_ls Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu (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 Uu (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)))))))
% 19.00/19.19  (assume a9644 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_lj Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9645 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lh Uu) Uua) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat Uu (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_rat Uu Uua)))))
% 19.00/19.19  (assume a9646 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_li Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9647 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_gn Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uua)) (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) Uua)))))
% 19.00/19.19  (assume a9648 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_gp Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uua)) (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) Uua)))))
% 19.00/19.19  (assume a9649 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_go Uu) Uua) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uua)) (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) Uua)))))
% 19.00/19.19  (assume a9650 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_uk Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uua)) (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) Uua)))))
% 19.00/19.19  (assume a9651 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_lq Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uua)) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9652 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lo Uu) Uua) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat Uu Uua)) (tptp.aa_nat_rat Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9653 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_lp Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu Uua)) (tptp.aa_nat_int Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9654 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_lk Uu) Uua) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex Uu Uua)) (tptp.aa_nat_complex Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9655 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ln Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uua)) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9656 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ll Uu) Uua) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat Uu Uua)) (tptp.aa_nat_rat Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9657 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_lm Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu Uua)) (tptp.aa_nat_int Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 19.00/19.19  (assume a9658 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_nk Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uua)) (tptp.aa_nat_real Uu (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.00/19.19  (assume a9659 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ni Uu) Uua) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat Uu Uua)) (tptp.aa_nat_rat Uu (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.00/19.19  (assume a9660 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_nj Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu Uua)) (tptp.aa_nat_int Uu (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.00/19.19  (assume a9661 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_uy Uu) Uua) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat Uu Uua)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 19.00/19.19  (assume a9662 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_uv Uu) Uua) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int Uu Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 19.00/19.19  (assume a9663 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_us Uu) Uua) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real Uu Uua)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 19.00/19.19  (assume a9664 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_up Uu) Uua) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat Uu Uua)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 19.00/19.19  (assume a9665 (forall ((Uu tptp.fun_complex_real) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_kt Uu) Uua)) (= (tptp.aa_complex_real Uu Uua) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9666 (forall ((Uu tptp.fun_complex_rat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_kw Uu) Uua)) (= (tptp.aa_complex_rat Uu Uua) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9667 (forall ((Uu tptp.fun_real_complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_kp Uu) Uua)) (= (tptp.aa_real_complex Uu Uua) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9668 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_kr Uu) Uua)) (= (tptp.aa_real_real Uu Uua) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9669 (forall ((Uu tptp.fun_real_rat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ku Uu) Uua)) (= (tptp.aa_real_rat Uu Uua) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9670 (forall ((Uu tptp.fun_real_nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_kx Uu) Uua)) (= (tptp.aa_real_nat Uu Uua) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9671 (forall ((Uu tptp.fun_int_complex) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_kq Uu) Uua)) (= (tptp.aa_int_complex Uu Uua) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9672 (forall ((Uu tptp.fun_int_real) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ks Uu) Uua)) (= (tptp.aa_int_real Uu Uua) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9673 (forall ((Uu tptp.fun_int_rat) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_kv Uu) Uua)) (= (tptp.aa_int_rat Uu Uua) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9674 (forall ((Uu tptp.fun_int_nat) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ky Uu) Uua)) (= (tptp.aa_int_nat Uu Uua) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9675 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_rz Uu) Uua)) (= (tptp.aa_complex_complex Uu Uua) tptp.one_one_complex))))
% 19.00/19.19  (assume a9676 (forall ((Uu tptp.fun_complex_real) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_sc Uu) Uua)) (= (tptp.aa_complex_real Uu Uua) tptp.one_one_real))))
% 19.00/19.19  (assume a9677 (forall ((Uu tptp.fun_complex_rat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_sf Uu) Uua)) (= (tptp.aa_complex_rat Uu Uua) tptp.one_one_rat))))
% 19.00/19.19  (assume a9678 (forall ((Uu tptp.fun_real_complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_rx Uu) Uua)) (= (tptp.aa_real_complex Uu Uua) tptp.one_one_complex))))
% 19.00/19.19  (assume a9679 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_sa Uu) Uua)) (= (tptp.aa_real_real Uu Uua) tptp.one_one_real))))
% 19.00/19.19  (assume a9680 (forall ((Uu tptp.fun_real_rat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_sd Uu) Uua)) (= (tptp.aa_real_rat Uu Uua) tptp.one_one_rat))))
% 19.00/19.19  (assume a9681 (forall ((Uu tptp.fun_real_nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_sg Uu) Uua)) (= (tptp.aa_real_nat Uu Uua) tptp.one_one_nat))))
% 19.00/19.19  (assume a9682 (forall ((Uu tptp.fun_int_complex) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ry Uu) Uua)) (= (tptp.aa_int_complex Uu Uua) tptp.one_one_complex))))
% 19.00/19.19  (assume a9683 (forall ((Uu tptp.fun_int_real) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_sb Uu) Uua)) (= (tptp.aa_int_real Uu Uua) tptp.one_one_real))))
% 19.00/19.19  (assume a9684 (forall ((Uu tptp.fun_int_rat) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_se Uu) Uua)) (= (tptp.aa_int_rat Uu Uua) tptp.one_one_rat))))
% 19.00/19.19  (assume a9685 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aby Uu) Uua) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx Uu)) (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))))))
% 19.00/19.19  (assume a9686 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ace Uu) Uua) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_abx Uu)) (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))))))
% 19.00/19.19  (assume a9687 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acn Uu) 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 Uu) Uua))) Uu))))
% 19.00/19.19  (assume a9688 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ou Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua)))))
% 19.00/19.19  (assume a9689 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ot Uu) Uua) (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 Uua))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uua)))))
% 19.00/19.19  (assume a9690 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_abe Uu) 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.power_power_real (tptp.aa_real_real tptp.abs_abs_real Uua)) Uu)))))
% 19.00/19.19  (assume a9691 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aac Uu) 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.power_power_real Uu) Uua)))))
% 19.00/19.19  (assume a9692 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aad Uu) 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.power_power_real Uu) Uua)))))
% 19.00/19.19  (assume a9693 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_zn Uu) Uua) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) Uu))))
% 19.00/19.19  (assume a9694 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_zp Uu) Uua) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)) Uu))))
% 19.00/19.19  (assume a9695 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_zo Uu) Uua) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)) Uu))))
% 19.00/19.19  (assume a9696 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger tptp.aTP_Lamm_gv Uu) Uua) (tptp.produc1086072967326762835nteger Uu (tptp.plus_p5714425477246183910nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) Uua) tptp.one_one_Code_integer)))))
% 19.00/19.19  (assume a9697 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_gt Uu) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uu) (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)))))
% 19.00/19.19  (assume a9698 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_gu Uu) Uua) (tptp.product_Pair_int_int Uu (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)))))
% 19.00/19.19  (assume a9699 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ok Uu) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.00/19.19  (assume a9700 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_om Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (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)))))))
% 19.00/19.19  (assume a9701 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ol Uu) Uua) (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (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)))))))
% 19.00/19.19  (assume a9702 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_st Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 19.00/19.19  (assume a9703 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ss Uu) Uua) (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)))))
% 19.00/19.19  (assume a9704 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_sv Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 19.00/19.19  (assume a9705 (forall ((Uu tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_su Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 19.00/19.19  (assume a9706 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_tz Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) Uu)))))
% 19.00/19.19  (assume a9707 (forall ((Uu tptp.set_complex) (Uua tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.aTP_Lamm_au Uu) Uua)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex Uua) Uu)))))
% 19.00/19.19  (assume a9708 (forall ((Uu tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_at Uu) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat Uua) Uu)))))
% 19.00/19.19  (assume a9709 (forall ((Uu tptp.set_int) (Uua tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.aTP_Lamm_av Uu) Uua)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int Uua) Uu)))))
% 19.00/19.19  (assume a9710 (forall ((Uu tptp.rat) (Uua tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_ua Uu) Uua)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Uua) Uu)))))
% 19.00/19.19  (assume a9711 (forall ((Uu tptp.num) (Uua tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_ub Uu) Uua)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Uua) Uu)))))
% 19.00/19.19  (assume a9712 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_az Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uu)))))
% 19.00/19.19  (assume a9713 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_uc Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uua) Uu)))))
% 19.00/19.19  (assume a9714 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_abd Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Uua) Uu))))
% 19.00/19.19  (assume a9715 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_nf Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uua) Uu)))))
% 19.00/19.19  (assume a9716 (forall ((Uu tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_nb Uu) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_set_nat Uua) Uu)))))
% 19.00/19.19  (assume a9717 (forall ((Uu tptp.rat) (Uua tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_nc Uu) Uua)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Uua) Uu)))))
% 19.00/19.19  (assume a9718 (forall ((Uu tptp.num) (Uua tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_nd Uu) Uua)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Uua) Uu)))))
% 19.00/19.19  (assume a9719 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu)))))
% 19.00/19.19  (assume a9720 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ne Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uu)))))
% 19.00/19.19  (assume a9721 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_abz Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uu))))
% 19.00/19.19  (assume a9722 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aba Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uu))))
% 19.00/19.19  (assume a9723 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_abf Uu) Uua) (tptp.aa_nat_real (tptp.power_power_real Uua) Uu))))
% 19.00/19.19  (assume a9724 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acy Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uu))))
% 19.00/19.19  (assume a9725 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_abc Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uua) Uu))))
% 19.00/19.19  (assume a9726 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_abg Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Uua) Uu))))
% 19.00/19.19  (assume a9727 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_bh Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real Uua) Uu)))))
% 19.00/19.19  (assume a9728 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bi Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) Uu)))))
% 19.00/19.19  (assume a9729 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ba Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) Uu)))))
% 19.00/19.19  (assume a9730 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_aar Uu) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uu))))
% 19.00/19.19  (assume a9731 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_acb Uu) Uua) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root Uua) Uu))))
% 19.00/19.19  (assume a9732 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aTP_Lamm_a Uu) Uua)) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uua) Uu)))))
% 19.00/19.19  (assume a9733 (forall ((Uu tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_aa Uu) Uua)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uua) Uu)))))
% 19.00/19.19  (assume a9734 (forall ((Uu tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_ab Uu) Uua)) (tptp.member_list_nat Uua Uu))))
% 19.00/19.19  (assume a9735 (forall ((Uu tptp.set_set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_ac Uu) Uua)) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uua) Uu)))))
% 19.00/19.19  (assume a9736 (forall ((Uu tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ad Uu) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uua) Uu)))))
% 19.00/19.19  (assume a9737 (forall ((Uu tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ae Uu) Uua)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uua) Uu)))))
% 19.00/19.19  (assume a9738 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fl Uu) Uua)) (= Uua Uu))))
% 19.00/19.19  (assume a9739 (forall ((Uu tptp.list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_fj Uu) Uua)) (= Uua Uu))))
% 19.00/19.19  (assume a9740 (forall ((Uu tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.aTP_Lamm_fk Uu) Uua)) (= Uua Uu))))
% 19.00/19.19  (assume a9741 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fm Uu) Uua)) (= Uua Uu))))
% 19.00/19.19  (assume a9742 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_fn Uu) Uua)) (= Uua Uu))))
% 19.00/19.19  (assume a9743 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_acx Uu) Uua) (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq Uu))))
% 19.00/19.19  (assume a9744 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_oh Uu) Uua) (tptp.aa_nat_real Uu (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)))))
% 19.00/19.19  (assume a9745 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_og Uu) Uua) (tptp.aa_nat_real Uu (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)))))
% 19.00/19.19  (assume a9746 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_rm Uu) Uua) (tptp.aa_nat_complex Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.00/19.19  (assume a9747 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_km Uu) Uua) (tptp.aa_nat_real Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.00/19.19  (assume a9748 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_adf Uu) Uua)) (tptp.pp (tptp.aa_nat_bool Uu (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.00/19.19  (assume a9749 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lf Uu) Uua) (tptp.aa_nat_rat Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.00/19.19  (assume a9750 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_kl Uu) Uua) (tptp.aa_nat_nat Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.00/19.19  (assume a9751 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_lg Uu) Uua) (tptp.aa_nat_int Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.00/19.19  (assume a9752 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_aaz Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_aay Uu) Uua)))))
% 19.00/19.19  (assume a9753 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_aax Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_aaw Uu) Uua)))))
% 19.00/19.19  (assume a9754 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_aav Uu) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_aau Uu) Uua)))))
% 19.00/19.19  (assume a9755 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_aat Uu) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_aas Uu) Uua)))))
% 19.00/19.19  (assume a9756 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_aaq Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_aap Uu) Uua)))))
% 19.00/19.19  (assume a9757 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_abl Uu) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abk Uu) Uua)))))
% 19.00/19.19  (assume a9758 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_acs Uu) 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 Uu))))))
% 19.00/19.19  (assume a9759 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_zw Uu) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 19.00/19.19  (assume a9760 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_zy Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 19.00/19.19  (assume a9761 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_zx Uu) Uua) (tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Uu) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 19.00/19.19  (assume a9762 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_oo Uu) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 19.00/19.19  (assume a9763 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_or Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 19.00/19.19  (assume a9764 (forall ((Uu tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_op Uu) Uua) (tptp.times_times_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 19.00/19.19  (assume a9765 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_os Uu) 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 Uu) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua))))))
% 19.00/19.19  (assume a9766 (forall ((Uu tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_oq Uu) 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 Uu) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua))))))
% 19.00/19.19  (assume a9767 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_acu Uu) 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 Uu) Uua)))))
% 19.00/19.19  (assume a9768 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_acd Uu) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.power_power_real Uu) Uua)))))
% 19.00/19.19  (assume a9769 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acr Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uu) Uua)))))
% 19.00/19.19  (assume a9770 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_acq Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uua) Uu)))))
% 19.00/19.19  (assume a9771 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aam Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uu) Uua)))))
% 19.00/19.19  (assume a9772 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aan Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uua) Uu)))))
% 19.00/19.19  (assume a9773 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aTP_Lamm_eo Uu) Uua)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uua) Uu))))))
% 19.00/19.19  (assume a9774 (forall ((Uu tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ep Uu) Uua)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uua) Uu))))))
% 19.00/19.19  (assume a9775 (forall ((Uu tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_eq Uu) Uua)) (not (tptp.member_list_nat Uua Uu)))))
% 19.00/19.19  (assume a9776 (forall ((Uu tptp.set_set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_er Uu) Uua)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uua) Uu))))))
% 19.00/19.19  (assume a9777 (forall ((Uu tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_es Uu) Uua)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uua) Uu))))))
% 19.00/19.19  (assume a9778 (forall ((Uu tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_et Uu) Uua)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uua) Uu))))))
% 19.00/19.19  (assume a9779 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_uo Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex Uu Uua)))))
% 19.00/19.19  (assume a9780 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_aca Uu) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9781 (forall ((Uu tptp.fun_complex_nat) (Uua tptp.complex)) (= (tptp.aa_complex_complex (tptp.aTP_Lamm_lx Uu) Uua) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_complex_nat Uu Uua)))))
% 19.00/19.19  (assume a9782 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ma Uu) Uua) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat Uu Uua)))))
% 19.00/19.19  (assume a9783 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_lz Uu) Uua) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat Uu Uua)))))
% 19.00/19.19  (assume a9784 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_ly Uu) Uua) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat Uu Uua)))))
% 19.00/19.19  (assume a9785 (forall ((Uu tptp.fun_int_nat) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_lw Uu) Uua) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat Uu Uua)))))
% 19.00/19.19  (assume a9786 (forall ((Uu tptp.fun_VEBT_VEBT_real) (Uua tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aTP_Lamm_va Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_VEBT_VEBT_real Uu Uua)))))
% 19.00/19.19  (assume a9787 (forall ((Uu tptp.fun_complex_real) (Uua tptp.complex)) (= (tptp.aa_complex_real (tptp.aTP_Lamm_ve Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_complex_real Uu Uua)))))
% 19.00/19.19  (assume a9788 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_vc Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real Uu Uua)))))
% 19.00/19.19  (assume a9789 (forall ((Uu tptp.fun_set_nat_real) (Uua tptp.set_nat)) (= (tptp.aa_set_nat_real (tptp.aTP_Lamm_vb Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_set_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9790 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_vf Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9791 (forall ((Uu tptp.fun_int_real) (Uua tptp.int)) (= (tptp.aa_int_real (tptp.aTP_Lamm_vd Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_int_real Uu Uua)))))
% 19.00/19.19  (assume a9792 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_qs Uu) Uua) (tptp.times_times_complex (tptp.aa_nat_complex Uu Uua)))))
% 19.00/19.19  (assume a9793 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_qt Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9794 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_qu Uu) Uua) (tptp.times_times_rat (tptp.aa_nat_rat Uu Uua)))))
% 19.00/19.19  (assume a9795 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qw Uu) Uua) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uua)))))
% 19.00/19.19  (assume a9796 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_qv Uu) Uua) (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9797 (forall ((Uu tptp.fun_complex_int) (Uua tptp.complex)) (= (tptp.aa_complex_complex (tptp.aTP_Lamm_gi Uu) Uua) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_complex_int Uu Uua)))))
% 19.00/19.19  (assume a9798 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_gj Uu) Uua) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9799 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ov Uu) Uua) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9800 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_ow Uu) Uua) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9801 (forall ((Uu tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_real (tptp.aTP_Lamm_gk Uu) Uua) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int Uu Uua)))))
% 19.00/19.19  (assume a9802 (forall ((Uu tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_rat (tptp.aTP_Lamm_gl Uu) Uua) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int Uu Uua)))))
% 19.00/19.19  (assume a9803 (forall ((Uu tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_gm Uu) Uua) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int Uu Uua)))))
% 19.00/19.19  (assume a9804 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_te Uu) Uua) (tptp.plus_plus_complex (tptp.aa_nat_complex Uu Uua)))))
% 19.00/19.19  (assume a9805 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_ti Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9806 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_tf Uu) Uua) (tptp.plus_plus_rat (tptp.aa_nat_rat Uu Uua)))))
% 19.00/19.19  (assume a9807 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_th Uu) Uua) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu Uua)))))
% 19.00/19.19  (assume a9808 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_tg Uu) Uua) (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu Uua)))))
% 19.00/19.19  (assume a9809 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yr Uu) Uua) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real Uu Uua)))))
% 19.00/19.19  (assume a9810 (forall ((Uu tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_yq Uu) Uua) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int Uu Uua)))))
% 19.00/19.19  (assume a9811 (forall ((Uu tptp.fun_real_bool) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_fa Uu) Uua)) (not (tptp.pp (tptp.aa_real_bool Uu Uua))))))
% 19.00/19.19  (assume a9812 (forall ((Uu tptp.fun_list_nat_bool) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_fb Uu) Uua)) (not (tptp.pp (tptp.aa_list_nat_bool Uu Uua))))))
% 19.00/19.19  (assume a9813 (forall ((Uu tptp.fun_set_nat_bool) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_fc Uu) Uua)) (not (tptp.pp (tptp.aa_set_nat_bool Uu Uua))))))
% 19.00/19.19  (assume a9814 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_fd Uu) Uua)) (not (tptp.pp (tptp.aa_nat_bool Uu Uua))))))
% 19.00/19.19  (assume a9815 (forall ((Uu tptp.fun_int_bool) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_fe Uu) Uua)) (not (tptp.pp (tptp.aa_int_bool Uu Uua))))))
% 19.00/19.19  (assume a9816 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_acv Uu) Uua) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ay Uu)))))
% 19.00/19.19  (assume a9817 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_of Uu) 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 Uu Uub)) (tptp.aa_nat_real Uua Uub)))))
% 19.00/19.19  (assume a9818 (forall ((Uu tptp.num) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_el Uu) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger Uu)) Uub) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (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 Uu))) (tptp.produc1086072967326762835nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) Uua) Uub)))))
% 19.00/19.19  (assume a9819 (forall ((Uu tptp.num) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aTP_Lamm_en Uu) 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 Uu)) 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 Uu))) (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)))))
% 19.00/19.19  (assume a9820 (forall ((Uu tptp.num) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_em Uu) 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 Uu)) 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 Uu))) (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)))))
% 19.00/19.19  (assume a9821 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rt Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu) (tptp.aa_nat_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9822 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rw Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (tptp.aa_nat_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9823 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rv Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (tptp.aa_nat_nat Uua Uub)) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9824 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ru Uu) Uua) Uub) (tptp.aa_int_int (tptp.if_int (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu) (tptp.aa_nat_int Uua Uub)) tptp.zero_zero_int))))
% 19.00/19.19  (assume a9825 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fo Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uu) Uub) (tptp.aa_VEBT_VEBT_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9826 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_fs Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uu) Uub)) (tptp.aa_VEBT_VEBT_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9827 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_rat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_fw Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uu) Uub) (tptp.aa_VEBT_VEBT_rat Uua Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9828 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_fv Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uu) Uub)) (tptp.aa_complex_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9829 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fp Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub) (tptp.aa_real_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9830 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ft Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub)) (tptp.aa_real_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9831 (forall ((Uu tptp.real) (Uua tptp.fun_real_rat) (Uub tptp.real)) (= (tptp.aa_real_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_fx Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub) (tptp.aa_real_rat Uua Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9832 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_fq Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uu) Uub) (tptp.aa_nat_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9833 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_fr Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu) Uub) (tptp.aa_int_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9834 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_fu Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu) Uub)) (tptp.aa_int_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9835 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ox Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uu) Uub) (tptp.aa_VEBT_VEBT_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9836 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pc Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uu) Uub)) (tptp.aa_VEBT_VEBT_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9837 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pb Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uu) Uub) (tptp.aa_complex_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9838 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pg Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uu) Uub)) (tptp.aa_complex_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9839 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_oy Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub) (tptp.aa_real_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9840 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pd Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub)) (tptp.aa_real_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9841 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_oz Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uu) Uub) (tptp.aa_nat_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9842 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pe Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uu) Uub)) (tptp.aa_nat_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9843 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pa Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu) Uub) (tptp.aa_int_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9844 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pf Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu) Uub)) (tptp.aa_int_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9845 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_fy Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uub) Uu) (tptp.aa_VEBT_VEBT_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9846 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_gc Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uub) Uu)) (tptp.aa_VEBT_VEBT_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9847 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_rat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_gg Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uub) Uu) (tptp.aa_VEBT_VEBT_rat Uua Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9848 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_gf Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uub) Uu)) (tptp.aa_complex_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9849 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_fz Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu) (tptp.aa_real_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9850 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_gd Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu)) (tptp.aa_real_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9851 (forall ((Uu tptp.real) (Uua tptp.fun_real_rat) (Uub tptp.real)) (= (tptp.aa_real_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aTP_Lamm_gh Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu) (tptp.aa_real_rat Uua Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9852 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ga Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) (tptp.aa_nat_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9853 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pr Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu)) (tptp.aa_nat_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9854 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ps Uu) Uua) Uub) (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 Uub) Uu)) (tptp.aa_nat_nat Uua Uub)) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9855 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pt Uu) Uua) Uub) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) (tptp.aa_nat_int Uua Uub)) tptp.zero_zero_int))))
% 19.00/19.19  (assume a9856 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_gb Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uub) Uu) (tptp.aa_int_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9857 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_ge Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uub) Uu)) (tptp.aa_int_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9858 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun8982142231764154876omplex (tptp.aTP_Lamm_ph Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uub) Uu) (tptp.aa_VEBT_VEBT_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9859 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_pm Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uub) Uu)) (tptp.aa_VEBT_VEBT_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9860 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_pl Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uub) Uu) (tptp.aa_complex_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9861 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pq Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uub) Uu)) (tptp.aa_complex_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9862 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_pi Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu) (tptp.aa_real_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9863 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_pn Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu)) (tptp.aa_real_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9864 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_pj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) (tptp.aa_nat_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9865 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_po Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu)) (tptp.aa_nat_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9866 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_pk Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uub) Uu) (tptp.aa_int_complex Uua Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9867 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pp Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uub) Uu)) (tptp.aa_int_real Uua Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9868 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_adk Uu) 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 Uu) Uub))))))
% 19.00/19.19  (assume a9869 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_adj Uu) 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 Uu Uub))))))
% 19.00/19.19  (assume a9870 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rp Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool Uu Uub) (tptp.aa_nat_complex Uua Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9871 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_rs Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool Uu Uub)) (tptp.aa_nat_real Uua Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9872 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_rr Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool Uu Uub)) (tptp.aa_nat_nat Uua Uub)) tptp.zero_zero_nat))))
% 19.00/19.19  (assume a9873 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_rq Uu) Uua) Uub) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool Uu Uub) (tptp.aa_nat_int Uua Uub)) tptp.zero_zero_int))))
% 19.00/19.19  (assume a9874 (forall ((Uu tptp.fun_VE5569070535936029429omplex) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun6792494735270171281omplex (tptp.aTP_Lamm_jv Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool Uua Uub) (tptp.aa_VEBT_VEBT_complex Uu Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9875 (forall ((Uu tptp.fun_VEBT_VEBT_real) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun2072160908118572431T_real (tptp.aTP_Lamm_jz Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool Uua Uub)) (tptp.aa_VEBT_VEBT_real Uu Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9876 (forall ((Uu tptp.fun_VEBT_VEBT_rat) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_rat (tptp.aa_fun3193099451372820155BT_rat (tptp.aTP_Lamm_ke Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_VEBT_VEBT_bool Uua Uub) (tptp.aa_VEBT_VEBT_rat Uu Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9877 (forall ((Uu tptp.fun_complex_real) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun2902006202505214429x_real (tptp.aTP_Lamm_kd Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool Uua Uub)) (tptp.aa_complex_real Uu Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9878 (forall ((Uu tptp.fun_real_complex) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_jw Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool Uua Uub) (tptp.aa_real_complex Uu Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9879 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6348708079608492509l_real (tptp.aTP_Lamm_ka Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool Uua Uub)) (tptp.aa_real_real Uu Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9880 (forall ((Uu tptp.fun_real_rat) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_rat (tptp.aa_fun7219699593533116937al_rat (tptp.aTP_Lamm_kf Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_real_bool Uua Uub) (tptp.aa_real_rat Uu Uub)) tptp.zero_zero_rat))))
% 19.00/19.19  (assume a9881 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_jx Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool Uua Uub) (tptp.aa_nat_complex Uu Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9882 (forall ((Uu tptp.fun_int_complex) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_jy Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool Uua Uub) (tptp.aa_int_complex Uu Uub)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9883 (forall ((Uu tptp.fun_int_real) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun6974987029372589917t_real (tptp.aTP_Lamm_kb Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool Uua Uub)) (tptp.aa_int_real Uu Uub)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9884 (forall ((Uu tptp.fun_VE5569070535936029429omplex) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun6792494735270171281omplex (tptp.aTP_Lamm_rb Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_VEBT_VEBT_bool Uua Uub) (tptp.aa_VEBT_VEBT_complex Uu Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9885 (forall ((Uu tptp.fun_VEBT_VEBT_real) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun2072160908118572431T_real (tptp.aTP_Lamm_rg Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool Uua Uub)) (tptp.aa_VEBT_VEBT_real Uu Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9886 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun1034237174562290143omplex (tptp.aTP_Lamm_rf Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_complex_bool Uua Uub) (tptp.aa_complex_complex Uu Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9887 (forall ((Uu tptp.fun_complex_real) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun2902006202505214429x_real (tptp.aTP_Lamm_rk Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool Uua Uub)) (tptp.aa_complex_real Uu Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9888 (forall ((Uu tptp.fun_real_complex) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_rc Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool Uua Uub) (tptp.aa_real_complex Uu Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9889 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6348708079608492509l_real (tptp.aTP_Lamm_rh Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool Uua Uub)) (tptp.aa_real_real Uu Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9890 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_rd Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool Uua Uub) (tptp.aa_nat_complex Uu Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9891 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1750223370215434333t_real (tptp.aTP_Lamm_ri Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool Uua Uub)) (tptp.aa_nat_real Uu Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9892 (forall ((Uu tptp.fun_int_complex) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_re Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool Uua Uub) (tptp.aa_int_complex Uu Uub)) tptp.one_one_complex))))
% 19.00/19.19  (assume a9893 (forall ((Uu tptp.fun_int_real) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun6974987029372589917t_real (tptp.aTP_Lamm_rj Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool Uua Uub)) (tptp.aa_int_real Uu Uub)) tptp.one_one_real))))
% 19.00/19.19  (assume a9894 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_vh Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uu Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)))))
% 19.00/19.19  (assume a9895 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ui Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uu Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)))))
% 19.00/19.19  (assume a9896 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_ug Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int Uu Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)))))
% 19.00/19.19  (assume a9897 (forall ((Uu tptp.fun_VE2006399705683203104omplex) (Uua tptp.complex) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_com2862003112617944841omplex (tptp.aTP_Lamm_iv Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.aa_VEB5608662635949521omplex Uu Uub) Uua))))
% 19.00/19.19  (assume a9898 (forall ((Uu tptp.fun_VE597728521808591204at_nat) (Uua tptp.nat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat (tptp.aa_nat7776146579971162249BT_nat (tptp.aTP_Lamm_ie Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_VEB1122092716774696213at_nat Uu Uub) Uua))))
% 19.00/19.19  (assume a9899 (forall ((Uu tptp.fun_VE7331017413731640256at_int) (Uua tptp.nat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_nat3598295560461965541BT_int (tptp.aTP_Lamm_pw Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_VEB6167613734120275313at_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9900 (forall ((Uu tptp.fun_VE294566951569886236nt_int) (Uua tptp.int) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_int1343382402272391561BT_int (tptp.aTP_Lamm_hn Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_VEB7166967446021329869nt_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9901 (forall ((Uu tptp.fun_co636942507509095880at_nat) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_nat3391284541783913865ex_nat (tptp.aTP_Lamm_iq Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_com6383720667567721865at_nat Uu Uub) Uua))))
% 19.00/19.19  (assume a9902 (forall ((Uu tptp.fun_co7370231399432144932at_int) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_nat8436805559129492965ex_int (tptp.aTP_Lamm_qc Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_com2205869648058525157at_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9903 (forall ((Uu tptp.fun_co333780937270390912nt_int) (Uua tptp.int) (Uub tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_int6126987627036542017ex_int (tptp.aTP_Lamm_hz Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_com3205223359959579713nt_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9904 (forall ((Uu tptp.fun_re7208826350674946562omplex) (Uua tptp.complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_com4766338864777664963omplex (tptp.aTP_Lamm_iz Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.aa_rea2618301233319580611omplex Uu Uub) Uua))))
% 19.00/19.19  (assume a9905 (forall ((Uu tptp.fun_real_fun_nat_nat) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_nat (tptp.aa_nat_fun_real_nat (tptp.aTP_Lamm_ii Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_real_fun_nat_nat Uu Uub) Uua))))
% 19.00/19.19  (assume a9906 (forall ((Uu tptp.fun_real_fun_nat_int) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_int (tptp.aa_nat_fun_real_int (tptp.aTP_Lamm_pz Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_real_fun_nat_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9907 (forall ((Uu tptp.fun_real_fun_int_int) (Uua tptp.int) (Uub tptp.real)) (= (tptp.aa_real_int (tptp.aa_int_fun_real_int (tptp.aTP_Lamm_hr Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_real_fun_int_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9908 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ut Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uu Uub) Uua))))
% 19.00/19.19  (assume a9909 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_uq Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uu Uub) Uua))))
% 19.00/19.19  (assume a9910 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_uw Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9911 (forall ((Uu tptp.fun_nat_fun_int_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_hv Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_nat_fun_int_int Uu Uub) Uua))))
% 19.00/19.19  (assume a9912 (forall ((Uu tptp.fun_int_fun_nat_nat) (Uua tptp.nat) (Uub tptp.int)) (= (tptp.aa_int_nat (tptp.aa_nat_fun_int_nat (tptp.aTP_Lamm_im Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_int_fun_nat_nat Uu Uub) Uua))))
% 19.00/19.19  (assume a9913 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_sj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) tptp.one_one_complex) tptp.zero_zero_complex)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 19.00/19.19  (assume a9914 (forall ((Uu tptp.nat) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_sk Uu) Uua) Uub) (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu)) tptp.one_one_real) tptp.zero_zero_real)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a9915 (forall ((Uu tptp.nat) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sl Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) tptp.one_one_int) tptp.zero_zero_int)) (tptp.aa_nat_int (tptp.power_power_int Uua) Uub)))))
% 19.00/19.19  (assume a9916 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod2825494507867081354r_bool (tptp.aa_Cod4981436349852597092r_bool (tptp.aTP_Lamm_adi Uu) Uua) Uub) (tptp.produc5135875973608410785r_bool (tptp.if_Code_integer (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) Uu) 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)))))
% 19.00/19.19  (assume a9917 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_ux Uu) Uua) Uub) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_uw Uu) Uub) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub) Uua)))))
% 19.00/19.19  (assume a9918 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_uz Uu) Uua) Uub) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_uq Uu) Uub)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub) Uua)))))
% 19.00/19.19  (assume a9919 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_uu Uu) Uua) Uub) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ut Uu) Uub)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub) Uua)))))
% 19.00/19.19  (assume a9920 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ur Uu) Uua) Uub) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_uq Uu) Uub)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub) Uua)))))
% 19.00/19.19  (assume a9921 (forall ((Uu tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_adm Uu) Uua) Uub)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aa_int2327297053056786951t_bool (tptp.aTP_Lamm_adl Uua) Uub)) (tptp.quotient_of Uu))))))
% 19.00/19.19  (assume a9922 (forall ((Uu tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abm Uu) 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 Uu Uub) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a9923 (forall ((Uu tptp.real) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_abn Uu) 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.power_power_real Uu) Uub)))))
% 19.00/19.19  (assume a9924 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_vo Uu) Uua) Uub)) (= (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts Uu) Uub)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_real))))
% 19.00/19.19  (assume a9925 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vn Uu) Uua) Uub)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj Uu) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_complex))))
% 19.00/19.19  (assume a9926 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_gq Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uub)) (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) Uub))) (tptp.aa_nat_complex Uua Uub)))))
% 19.00/19.19  (assume a9927 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_gs Uu) Uua) Uub) (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 Uu Uub)) (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) Uub))) (tptp.aa_nat_real Uua Uub)))))
% 19.00/19.19  (assume a9928 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_gr Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uub)) (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) Uub))) (tptp.aa_nat_rat Uua Uub)))))
% 19.00/19.19  (assume a9929 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abj Uu) 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 Uu Uub)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uub)))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a9930 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_zz Uu) 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.power_power_real Uu) Uub)))))
% 19.00/19.19  (assume a9931 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_adb Uu) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) tptp.one_one_nat)) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 19.00/19.19  (assume a9932 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_yn Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uub)) (tptp.aa_nat_complex Uu Uub))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 19.00/19.19  (assume a9933 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yp Uu) 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 tptp.semiri5074537144036343181t_real Uub)) (tptp.aa_nat_real Uu Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 19.00/19.19  (assume a9934 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_adc Uu) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups4561878855575611511st_nat Uub)) tptp.one_one_nat) Uua)))))
% 19.00/19.19  (assume a9935 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.nat) (Uub tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_lis2822252094023462681T_bool (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_cq Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT Uub)) Uua))))))
% 19.00/19.19  (assume a9936 (forall ((Uu tptp.set_complex) (Uua tptp.nat) (Uub tptp.list_complex)) (= (tptp.pp (tptp.aa_list_complex_bool (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_cp Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s3451745648224563538omplex Uub)) Uua))))))
% 19.00/19.19  (assume a9937 (forall ((Uu tptp.set_bool) (Uua tptp.nat) (Uub tptp.list_bool)) (= (tptp.pp (tptp.aa_list_bool_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_cr Uu) Uua) Uub)) (and (tptp.ord_less_eq_set_bool (tptp.set_bool2 Uub) Uu) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_bool Uub)) Uua))))))
% 19.00/19.19  (assume a9938 (forall ((Uu tptp.set_nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_cs Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_nat Uub)) Uua))))))
% 19.00/19.19  (assume a9939 (forall ((Uu tptp.set_int) (Uua tptp.nat) (Uub tptp.list_int)) (= (tptp.pp (tptp.aa_list_int_bool (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_ct Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_int Uub)) Uua))))))
% 19.00/19.19  (assume a9940 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.nat) (Uub tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_lis2822252094023462681T_bool (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_cl Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Uub)) Uu)) (= (tptp.size_s6755466524823107622T_VEBT Uub) Uua)))))
% 19.00/19.19  (assume a9941 (forall ((Uu tptp.set_complex) (Uua tptp.nat) (Uub tptp.list_complex)) (= (tptp.pp (tptp.aa_list_complex_bool (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ck Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Uub)) Uu)) (= (tptp.size_s3451745648224563538omplex Uub) Uua)))))
% 19.00/19.19  (assume a9942 (forall ((Uu tptp.set_bool) (Uua tptp.nat) (Uub tptp.list_bool)) (= (tptp.pp (tptp.aa_list_bool_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_cm Uu) Uua) Uub)) (and (tptp.ord_less_eq_set_bool (tptp.set_bool2 Uub) Uu) (= (tptp.size_size_list_bool Uub) Uua)))))
% 19.00/19.19  (assume a9943 (forall ((Uu tptp.set_nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_cn Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.ord_less_eq_set_nat (tptp.set_nat2 Uub)) Uu)) (= (tptp.size_size_list_nat Uub) Uua)))))
% 19.00/19.19  (assume a9944 (forall ((Uu tptp.set_int) (Uua tptp.nat) (Uub tptp.list_int)) (= (tptp.pp (tptp.aa_list_int_bool (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_co Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Uub)) Uu)) (= (tptp.size_size_list_int Uub) Uua)))))
% 19.00/19.19  (assume a9945 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ada Uu) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 19.00/19.19  (assume a9946 (forall ((Uu tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aai Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 19.00/19.19  (assume a9947 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_aao Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uub) (tptp.pow_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat Uu)))) (= (tptp.aa_set_nat_nat tptp.finite_card_nat Uub) Uua)))))
% 19.00/19.19  (assume a9948 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_acw Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uub))))))
% 19.00/19.19  (assume a9949 (forall ((Uu tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aaj Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) (tptp.aa_nat_nat tptp.suc Uua)))))))
% 19.00/19.19  (assume a9950 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ym Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.diffs_complex Uu) Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 19.00/19.19  (assume a9951 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yo Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.diffs_real Uu) Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a9952 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_zg Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.diffs_complex Uua) Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uub)))))
% 19.00/19.19  (assume a9953 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_zf Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.diffs_real Uua) Uub)) (tptp.aa_nat_real (tptp.power_power_real Uu) Uub)))))
% 19.00/19.19  (assume a9954 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_xy Uu) 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 Uu) Uub)))))
% 19.00/19.19  (assume a9955 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.set_VEBT_VEBT) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_set1728193350978918526T_bool (tptp.aTP_Lamm_gw Uu) Uua) Uub)) (or (= Uub Uu) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uua))))))
% 19.00/19.19  (assume a9956 (forall ((Uu tptp.real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_gx Uu) Uua) Uub)) (or (= Uub Uu) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua))))))
% 19.00/19.19  (assume a9957 (forall ((Uu tptp.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_gy Uu) Uua) Uub)) (or (= Uub Uu) (tptp.member_list_nat Uub Uua)))))
% 19.00/19.19  (assume a9958 (forall ((Uu tptp.set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_gz Uu) Uua) Uub)) (or (= Uub Uu) (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uub) Uua))))))
% 19.00/19.19  (assume a9959 (forall ((Uu tptp.nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ha Uu) Uua) Uub)) (or (= Uub Uu) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua))))))
% 19.00/19.19  (assume a9960 (forall ((Uu tptp.int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_hb Uu) Uua) Uub)) (or (= Uub Uu) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua))))))
% 19.00/19.19  (assume a9961 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_fg Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uub))))))
% 19.00/19.19  (assume a9962 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ar Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uub) Uua))))))
% 19.00/19.19  (assume a9963 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_fh Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uub))))))
% 19.00/19.19  (assume a9964 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ax Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uub) Uua))))))
% 19.00/19.19  (assume a9965 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_aw Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uu) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uub) Uua))))))
% 19.00/19.19  (assume a9966 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_as Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uu) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uub) Uua))))))
% 19.00/19.19  (assume a9967 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_bool) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun4462450708475455754T_bool (tptp.aTP_Lamm_bb Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (tptp.pp (tptp.aa_VEBT_VEBT_bool Uua Uub))))))
% 19.00/19.19  (assume a9968 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_kc Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 19.00/19.19  (assume a9969 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bc Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 19.00/19.19  (assume a9970 (forall ((Uu tptp.set_list_nat) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_bd Uu) Uua) Uub)) (and (tptp.member_list_nat Uub Uu) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a9971 (forall ((Uu tptp.set_set_nat) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_be Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uub) Uu)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a9972 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bf Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a9973 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bg Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 19.00/19.19  (assume a9974 (forall ((Uu tptp.fun_real_bool) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jd Uu) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_real_bool Uu Uub))))))
% 19.00/19.19  (assume a9975 (forall ((Uu tptp.fun_list_nat_bool) (Uua tptp.list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jb Uu) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_list_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9976 (forall ((Uu tptp.fun_set_nat_bool) (Uua tptp.set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jc Uu) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_set_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9977 (forall ((Uu 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_je Uu) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9978 (forall ((Uu tptp.fun_int_bool) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jf Uu) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_int_bool Uu Uub))))))
% 19.00/19.19  (assume a9979 (forall ((Uu tptp.fun_real_bool) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ji Uu) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_real_bool Uu Uub))))))
% 19.00/19.19  (assume a9980 (forall ((Uu tptp.fun_list_nat_bool) (Uua tptp.list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_jg Uu) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_list_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9981 (forall ((Uu tptp.fun_set_nat_bool) (Uua tptp.set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_jh Uu) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_set_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9982 (forall ((Uu 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_jj Uu) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_nat_bool Uu Uub))))))
% 19.00/19.19  (assume a9983 (forall ((Uu tptp.fun_int_bool) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_jk Uu) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_int_bool Uu Uub))))))
% 19.00/19.19  (assume a9984 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_dr Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (not (= (tptp.aa_VEBT_VEBT_complex Uua Uub) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a9985 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_eb Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (not (= (tptp.aa_VEBT_VEBT_real Uua Uub) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9986 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_dz Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_complex_complex Uua Uub) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a9987 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ej Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_complex_real Uua Uub) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9988 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_dt Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_real_complex Uua Uub) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a9989 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ed Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_real_real Uua Uub) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9990 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_dv Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_complex Uua Uub) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a9991 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_ef Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_real Uua Uub) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9992 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dx Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_complex Uua Uub) tptp.zero_zero_complex))))))
% 19.00/19.19  (assume a9993 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_eh Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_real Uua Uub) tptp.zero_zero_real))))))
% 19.00/19.19  (assume a9994 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun8092769222387074655T_bool (tptp.aTP_Lamm_cx Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (not (= (tptp.aa_VEBT_VEBT_complex Uua Uub) tptp.one_one_complex))))))
% 19.00/19.19  (assume a9995 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun5605965666826184925T_bool (tptp.aTP_Lamm_dh Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (not (= (tptp.aa_VEBT_VEBT_real Uua Uub) tptp.one_one_real))))))
% 19.00/19.19  (assume a9996 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_df Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_complex_complex Uua Uub) tptp.one_one_complex))))))
% 19.00/19.19  (assume a9997 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_dp Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_complex_real Uua Uub) tptp.one_one_real))))))
% 19.00/19.19  (assume a9998 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_cz Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_real_complex Uua Uub) tptp.one_one_complex))))))
% 19.00/19.19  (assume a9999 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_dj Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_real_real Uua Uub) tptp.one_one_real))))))
% 19.00/19.19  (assume a10000 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_db Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_complex Uua Uub) tptp.one_one_complex))))))
% 19.00/19.19  (assume a10001 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_dl Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_real Uua Uub) tptp.one_one_real))))))
% 19.00/19.19  (assume a10002 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_dd Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_complex Uua Uub) tptp.one_one_complex))))))
% 19.00/19.19  (assume a10003 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_dn Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_real Uua Uub) tptp.one_one_real))))))
% 19.00/19.19  (assume a10004 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.set_VEBT_VEBT) (Uub tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_set1728193350978918526T_bool (tptp.aTP_Lamm_eu Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uu)) (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uub) Uua)))))))
% 19.00/19.19  (assume a10005 (forall ((Uu tptp.set_real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_ev Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua)))))))
% 19.00/19.19  (assume a10006 (forall ((Uu 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_ew Uu) Uua) Uub)) (and (tptp.member_list_nat Uub Uu) (not (tptp.member_list_nat Uub Uua))))))
% 19.00/19.19  (assume a10007 (forall ((Uu tptp.set_set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_ex Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uub) Uu)) (not (tptp.pp (tptp.aa_set_set_nat_bool (tptp.member_set_nat Uub) Uua)))))))
% 19.00/19.19  (assume a10008 (forall ((Uu tptp.set_nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ez Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua)))))))
% 19.00/19.19  (assume a10009 (forall ((Uu tptp.set_int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_ey Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua)))))))
% 19.00/19.19  (assume a10010 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_abw Uu) 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) Uu)) Uua)))))
% 19.00/19.19  (assume a10011 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_uf Uu) 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)) Uu)))))
% 19.00/19.19  (assume a10012 (forall ((Uu tptp.real) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_ack Uu) 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)) Uu)))))
% 19.00/19.19  (assume a10013 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_aci Uu) 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)) Uu)))))
% 19.00/19.19  (assume a10014 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ul Uu) Uua) Uub)) (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 Uua) Uub)) Uu)))))
% 19.00/19.19  (assume a10015 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_cu Uu) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uu) Uua))))
% 19.00/19.19  (assume a10016 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_aak Uu) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uua) Uu))))
% 19.00/19.19  (assume a10017 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_vj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu (tptp.aa_nat_nat tptp.suc Uub))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 19.00/19.19  (assume a10018 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_vk Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu (tptp.aa_nat_nat tptp.suc Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a10019 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_abk Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10020 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 19.00/19.19  (assume a10021 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ts Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 19.00/19.19  (assume a10022 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_tm Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uub)) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uub)))))
% 19.00/19.19  (assume a10023 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_vx Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uua) Uub)))))
% 19.00/19.19  (assume a10024 (forall ((Uu tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_tp Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uub)) (tptp.aa_nat_int (tptp.power_power_int Uua) Uub)))))
% 19.00/19.19  (assume a10025 (forall ((Uu 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_ci Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool Uu Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 19.00/19.19  (assume a10026 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_add Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uub)) (tptp.aa_nat_rat Uua Uub)))))
% 19.00/19.19  (assume a10027 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_aah Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uub)) (tptp.aa_nat_nat Uua Uub)))))
% 19.00/19.19  (assume a10028 (forall ((Uu tptp.fun_VE9219535225822561060nteger) (Uua tptp.fun_VE9219535225822561060nteger) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEB5935388676523804373nteger (tptp.aa_fun2400605388621188028nteger (tptp.aTP_Lamm_yw Uu) Uua) Uub) (tptp.times_3573771949741848930nteger (tptp.aa_VEB5935388676523804373nteger Uua Uub) (tptp.aa_VEB5935388676523804373nteger Uu Uub)))))
% 19.00/19.19  (assume a10029 (forall ((Uu tptp.fun_VEBT_VEBT_real) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aTP_Lamm_yz Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real Uua Uub)) (tptp.aa_VEBT_VEBT_real Uu Uub)))))
% 19.00/19.19  (assume a10030 (forall ((Uu tptp.fun_VEBT_VEBT_rat) (Uua tptp.fun_VEBT_VEBT_rat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aTP_Lamm_zd Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_VEBT_VEBT_rat Uua Uub)) (tptp.aa_VEBT_VEBT_rat Uu Uub)))))
% 19.00/19.19  (assume a10031 (forall ((Uu tptp.fun_re6978948838062957830nteger) (Uua tptp.fun_re6978948838062957830nteger) (Uub tptp.real)) (= (tptp.aa_real_Code_integer (tptp.aa_fun7923231501384339402nteger (tptp.aTP_Lamm_yy Uu) Uua) Uub) (tptp.times_3573771949741848930nteger (tptp.aa_real_Code_integer Uua Uub) (tptp.aa_real_Code_integer Uu Uub)))))
% 19.00/19.19  (assume a10032 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zb Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real Uua Uub)) (tptp.aa_real_real Uu Uub)))))
% 19.00/19.19  (assume a10033 (forall ((Uu tptp.fun_nat_Code_integer) (Uua tptp.fun_nat_Code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_fun589076786913273746nteger (tptp.aTP_Lamm_yv Uu) Uua) Uub) (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer Uua Uub) (tptp.aa_nat_Code_integer Uu Uub)))))
% 19.00/19.19  (assume a10034 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_zc Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uua Uub)) (tptp.aa_nat_rat Uu Uub)))))
% 19.00/19.19  (assume a10035 (forall ((Uu tptp.fun_int_Code_integer) (Uua tptp.fun_int_Code_integer) (Uub tptp.int)) (= (tptp.aa_int_Code_integer (tptp.aa_fun5304498221708291146nteger (tptp.aTP_Lamm_yx Uu) Uua) Uub) (tptp.times_3573771949741848930nteger (tptp.aa_int_Code_integer Uua Uub) (tptp.aa_int_Code_integer Uu Uub)))))
% 19.00/19.19  (assume a10036 (forall ((Uu tptp.fun_int_real) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_za Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real Uua Uub)) (tptp.aa_int_real Uu Uub)))))
% 19.00/19.19  (assume a10037 (forall ((Uu tptp.fun_int_rat) (Uua tptp.fun_int_rat) (Uub tptp.int)) (= (tptp.aa_int_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aTP_Lamm_ze Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_int_rat Uua Uub)) (tptp.aa_int_rat Uu Uub)))))
% 19.00/19.19  (assume a10038 (forall ((Uu tptp.fun_VEBT_VEBT_nat) (Uua tptp.fun_VEBT_VEBT_nat) (Uub tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat (tptp.aa_fun8284231930576791164BT_nat (tptp.aTP_Lamm_kg Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_VEBT_VEBT_nat Uua Uub)) (tptp.aa_VEBT_VEBT_nat Uu Uub)))))
% 19.00/19.19  (assume a10039 (forall ((Uu tptp.fun_real_nat) (Uua tptp.fun_real_nat) (Uub tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_kj Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_real_nat Uua Uub)) (tptp.aa_real_nat Uu Uub)))))
% 19.00/19.19  (assume a10040 (forall ((Uu tptp.fun_set_nat_nat) (Uua tptp.fun_set_nat_nat) (Uub tptp.set_nat)) (= (tptp.aa_set_nat_nat (tptp.aa_fun3386010016858254564at_nat (tptp.aTP_Lamm_ki Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat Uua Uub)) (tptp.aa_set_nat_nat Uu Uub)))))
% 19.00/19.19  (assume a10041 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_sm Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uua Uub)) (tptp.aa_nat_real Uu Uub)))))
% 19.00/19.19  (assume a10042 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_kk Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat Uua Uub)) (tptp.aa_nat_nat Uu Uub)))))
% 19.00/19.19  (assume a10043 (forall ((Uu tptp.fun_int_nat) (Uua tptp.fun_int_nat) (Uub tptp.int)) (= (tptp.aa_int_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aTP_Lamm_kh Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat Uua Uub)) (tptp.aa_int_nat Uu Uub)))))
% 19.00/19.19  (assume a10044 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_hj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex Uu Uub)) (tptp.aa_complex_complex Uua Uub)))))
% 19.00/19.19  (assume a10045 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_hk Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real Uua Uub)))))
% 19.00/19.19  (assume a10046 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_hi Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu Uub)) (tptp.aa_nat_nat Uua Uub)))))
% 19.00/19.19  (assume a10047 (forall ((Uu tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_pu Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu Uub)) (tptp.aa_nat_int Uua Uub)))))
% 19.00/19.19  (assume a10048 (forall ((Uu tptp.fun_int_int) (Uua tptp.fun_int_int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_hh Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int Uu Uub)) (tptp.aa_int_int Uua Uub)))))
% 19.00/19.19  (assume a10049 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_abi Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real Uu Uub)) (tptp.aa_real_real Uua Uub)))))
% 19.00/19.19  (assume a10050 (forall ((Uu tptp.fun_complex_bool) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_ak Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_complex_bool Uu Uub)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 19.00/19.19  (assume a10051 (forall ((Uu tptp.fun_real_bool) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_af Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_real_bool Uu Uub)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 19.00/19.19  (assume a10052 (forall ((Uu tptp.fun_list_nat_bool) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ag Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_list_nat_bool Uu Uub)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10053 (forall ((Uu tptp.fun_set_nat_bool) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_ah Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_set_nat_bool Uu Uub)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10054 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ai Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_nat_bool Uu Uub)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10055 (forall ((Uu tptp.fun_int_bool) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_aj Uu) Uua) Uub)) (or (tptp.pp (tptp.aa_int_bool Uu Uub)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 19.00/19.19  (assume a10056 (forall ((Uu tptp.fun_complex_bool) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_aq Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_complex_bool Uu Uub)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 19.00/19.19  (assume a10057 (forall ((Uu tptp.fun_real_bool) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_al Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_real_bool Uu Uub)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 19.00/19.19  (assume a10058 (forall ((Uu tptp.fun_list_nat_bool) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_am Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_list_nat_bool Uu Uub)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10059 (forall ((Uu tptp.fun_set_nat_bool) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_an Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool Uu Uub)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10060 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ao Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool Uu Uub)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10061 (forall ((Uu tptp.fun_int_bool) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_ap Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool Uu Uub)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 19.00/19.19  (assume a10062 (forall ((Uu 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_cj Uu) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat Uu Uub)) Uua)))))
% 19.00/19.19  (assume a10063 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_tv Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex Uu Uub)) Uua))))
% 19.00/19.19  (assume a10064 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_tw Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real Uu Uub)) Uua))))
% 19.00/19.19  (assume a10065 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qz Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uua Uub)) Uu))))
% 19.00/19.19  (assume a10066 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ra Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uua Uub)) Uu))))
% 19.00/19.19  (assume a10067 (forall ((Uu tptp.nat) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_acf Uu) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real Uua Uub)) Uu))))
% 19.00/19.19  (assume a10068 (forall ((Uu tptp.fun_real_real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_abh Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real Uu Uub)) Uua))))
% 19.00/19.19  (assume a10069 (forall ((Uu tptp.real) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_hc Uu) Uua) Uub)) (=> (not (= Uub Uu)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 19.00/19.19  (assume a10070 (forall ((Uu tptp.list_nat) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_hd Uu) Uua) Uub)) (=> (not (= Uub Uu)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10071 (forall ((Uu tptp.set_nat) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_he Uu) Uua) Uub)) (=> (not (= Uub Uu)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10072 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_hf Uu) Uua) Uub)) (=> (not (= Uub Uu)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 19.00/19.19  (assume a10073 (forall ((Uu tptp.int) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_hg Uu) Uua) Uub)) (=> (not (= Uub Uu)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 19.00/19.19  (assume a10074 (forall ((Uu tptp.real) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_vm Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex Uua Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uub)))))
% 19.00/19.19  (assume a10075 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_me Uu) Uua) Uub) (tptp.plus_p5714425477246183910nteger Uu (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uub) Uua)))))
% 19.00/19.19  (assume a10076 (forall ((Uu tptp.extended_enat) (Uua tptp.extended_enat) (Uub tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_Ext1337733060012393797d_enat (tptp.aTP_Lamm_md Uu) Uua) Uub) (tptp.plus_p3455044024723400733d_enat Uu (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uub) Uua)))))
% 19.00/19.19  (assume a10077 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_mb Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uub)) Uua)))))
% 19.00/19.19  (assume a10078 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_mh Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uub)) Uua)))))
% 19.00/19.19  (assume a10079 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_mc Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uub)) Uua)))))
% 19.00/19.19  (assume a10080 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mg Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uub)) Uua)))))
% 19.00/19.19  (assume a10081 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mf Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uub)) Uua)))))
% 19.00/19.19  (assume a10082 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ob Uu) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10083 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_oe Uu) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10084 (forall ((Uu tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_oc Uu) Uua) Uub) (tptp.aa_nat_rat (tptp.power_power_rat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10085 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_od Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10086 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_acc Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uua) (tptp.aa_nat_real (tptp.power_power_real Uu) Uub)))))
% 19.00/19.19  (assume a10087 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_kz Uu) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.00/19.19  (assume a10088 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_lc Uu) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.00/19.19  (assume a10089 (forall ((Uu tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_la Uu) Uua) Uub) (tptp.aa_nat_rat (tptp.power_power_rat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.00/19.19  (assume a10090 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_lb Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.00/19.19  (assume a10091 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_lv Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uub) Uua)))))
% 19.00/19.19  (assume a10092 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_ach Uu) Uua) Uub)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) (tptp.set_or1633881224788618240n_real Uu Uua))))))
% 19.00/19.19  (assume a10093 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qx Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex Uu) (tptp.aa_nat_complex Uua Uub)))))
% 19.00/19.19  (assume a10094 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qy Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu) (tptp.aa_nat_real Uua Uub)))))
% 19.00/19.19  (assume a10095 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sx Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.00/19.19  (assume a10096 (forall ((Uu tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_sw Uu) Uua) Uub) (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.00/19.19  (assume a10097 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sz Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.00/19.19  (assume a10098 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sy Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.00/19.19  (assume a10099 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_nh Uu) Uua) Uub) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10100 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ng Uu) Uua) Uub) (tptp.aa_nat_nat Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10101 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sh Uu) Uua) Uub) (tptp.aa_nat_int Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.00/19.19  (assume a10102 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_vl Uu) Uua) Uub) (tptp.aa_nat_complex Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.00/19.19  (assume a10103 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ko Uu) Uua) Uub) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.00/19.19  (assume a10104 (forall ((Uu 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_acg Uu) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.00/19.19  (assume a10105 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_kn Uu) Uua) Uub) (tptp.aa_nat_nat Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.00/19.19  (assume a10106 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_rl Uu) Uua) Uub) (tptp.aa_nat_int Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.00/19.19  (assume a10107 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_rn Uu) Uua) Uub) (tptp.aa_nat_complex Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uu)))))
% 19.00/19.19  (assume a10108 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ro Uu) Uua) Uub) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uu)))))
% 19.00/19.19  (assume a10109 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_ue Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub))))))
% 19.00/19.19  (assume a10110 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ud Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub))))))
% 19.00/19.19  (assume a10111 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wa Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.zero_zero_complex) (tptp.aa_nat_complex Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10112 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wi Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu)) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu)) tptp.zero_zero_real) (tptp.aa_nat_real Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10113 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wc Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.zero_zero_rat) (tptp.aa_nat_rat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10114 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wg Uu) Uua) Uub) Uuc) (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 Uuc) Uu)) (tptp.aa_nat_nat Uua Uuc)) (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 Uuc) Uu)) tptp.zero_zero_nat) (tptp.aa_nat_nat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10115 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_we Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.zero_zero_int) (tptp.aa_nat_int Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10116 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wk Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_complex) (tptp.aa_nat_complex Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10117 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wl Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu)) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu)) tptp.one_one_real) (tptp.aa_nat_real Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10118 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wm Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_rat) (tptp.aa_nat_rat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10119 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wo Uu) Uua) Uub) Uuc) (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 Uuc) Uu)) (tptp.aa_nat_nat Uua Uuc)) (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 Uuc) Uu)) tptp.one_one_nat) (tptp.aa_nat_nat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10120 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_wn Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_int) (tptp.aa_nat_int Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.00/19.19  (assume a10121 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_wb Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_nat_complex Uub Uuc)))))
% 19.00/19.19  (assume a10122 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_wj Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu)) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)))))
% 19.00/19.19  (assume a10123 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_wd Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)))))
% 19.00/19.19  (assume a10124 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_wh Uu) Uua) Uub) Uuc) (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 Uuc) Uu)) (tptp.aa_nat_nat Uua Uuc)) (tptp.aa_nat_nat Uub Uuc)))))
% 19.00/19.19  (assume a10125 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_wf Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_nat_int Uub Uuc)))))
% 19.00/19.19  (assume a10126 (forall ((Uu tptp.fun_nat_real) (Uua tptp.set_nat) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_set1316517696749040435t_real (tptp.aTP_Lamm_sn Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uua)) (tptp.aa_nat_real Uub Uuc)) (tptp.aa_nat_real Uu Uuc)))))
% 19.00/19.19  (assume a10127 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.fun_VEBT_VEBT_real) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_real (tptp.aa_fun1825138017709814396T_real (tptp.aa_fun910392650362481850T_real (tptp.aTP_Lamm_jl Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uuc) Uu)) (tptp.aa_VEBT_VEBT_real Uua Uuc)) (tptp.aa_VEBT_VEBT_real Uub Uuc)))))
% 19.00/19.19  (assume a10128 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_rat) (Uub tptp.fun_VEBT_VEBT_rat) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_rat (tptp.aa_fun8105832842879916156BT_rat (tptp.aa_fun2693410532875676774BT_rat (tptp.aTP_Lamm_jn Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uuc) Uu) (tptp.aa_VEBT_VEBT_rat Uua Uuc)) (tptp.aa_VEBT_VEBT_rat Uub Uuc)))))
% 19.00/19.19  (assume a10129 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_nat) (Uub tptp.fun_VEBT_VEBT_nat) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat (tptp.aa_fun8284231930576791164BT_nat (tptp.aa_fun8778301808485728350BT_nat (tptp.aTP_Lamm_jp Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uuc) Uu)) (tptp.aa_VEBT_VEBT_nat Uua Uuc)) (tptp.aa_VEBT_VEBT_nat Uub Uuc)))))
% 19.00/19.19  (assume a10130 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_int) (Uub tptp.fun_VEBT_VEBT_int) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_fun7144222995531728252BT_int (tptp.aa_fun7485955581636121530BT_int (tptp.aTP_Lamm_jr Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT Uuc) Uu) (tptp.aa_VEBT_VEBT_int Uua Uuc)) (tptp.aa_VEBT_VEBT_int Uub Uuc)))))
% 19.00/19.19  (assume a10131 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jm Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu)) (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)))))
% 19.00/19.19  (assume a10132 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_rat) (Uub tptp.fun_complex_rat) (Uuc tptp.complex)) (= (tptp.aa_complex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jo Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu) (tptp.aa_complex_rat Uua Uuc)) (tptp.aa_complex_rat Uub Uuc)))))
% 19.00/19.19  (assume a10133 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_nat) (Uub tptp.fun_complex_nat) (Uuc tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_jq Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu)) (tptp.aa_complex_nat Uua Uuc)) (tptp.aa_complex_nat Uub Uuc)))))
% 19.00/19.19  (assume a10134 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_int) (Uub tptp.fun_complex_int) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_js Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu) (tptp.aa_complex_int Uua Uuc)) (tptp.aa_complex_int Uub Uuc)))))
% 19.00/19.19  (assume a10135 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.fun_real_real) (Uuc tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_jt Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu)) (tptp.aa_real_real Uua Uuc)) (tptp.aa_real_real Uub Uuc)))))
% 19.00/19.19  (assume a10136 (forall ((Uu tptp.real) (Uua tptp.fun_real_rat) (Uub tptp.fun_real_rat) (Uuc tptp.real)) (= (tptp.aa_real_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_ju Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu) (tptp.aa_real_rat Uua Uuc)) (tptp.aa_real_rat Uub Uuc)))))
% 19.00/19.19  (assume a10137 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_sp Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu)) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)))))
% 19.00/19.19  (assume a10138 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_sr Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)))))
% 19.00/19.19  (assume a10139 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.fun_int_real) (Uuc tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_so Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu)) (tptp.aa_int_real Uua Uuc)) (tptp.aa_int_real Uub Uuc)))))
% 19.00/19.19  (assume a10140 (forall ((Uu tptp.int) (Uua tptp.fun_int_rat) (Uub tptp.fun_int_rat) (Uuc tptp.int)) (= (tptp.aa_int_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_sq Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu) (tptp.aa_int_rat Uua Uuc)) (tptp.aa_int_rat Uub Uuc)))))
% 19.00/19.19  (assume a10141 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mv Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mu Uu) Uua) Uub)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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 Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 19.00/19.19  (assume a10142 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mt Uu) Uua) Uub) Uuc) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_ms Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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 Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 19.00/19.19  (assume a10143 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mr Uu) Uua) Uub) Uuc) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mq Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_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 Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 19.00/19.19  (assume a10144 (forall ((Uu tptp.nat) (Uua tptp.code_integer) (Uub tptp.code_integer) (Uuc tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aa_Cod6397266357770349983nteger (tptp.aTP_Lamm_ws Uu) Uua) Uub) Uuc) (tptp.times_3573771949741848930nteger (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uub) (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_Code_integer tptp.zero_z3403309356797280102nteger)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Uua) Uuc)))))
% 19.00/19.19  (assume a10145 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aTP_Lamm_wp Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uub)) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_complex) tptp.zero_zero_complex))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uuc)))))
% 19.00/19.19  (assume a10146 (forall ((Uu tptp.nat) (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_wt Uu) Uua) Uub) Uuc) (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat)) (tptp.aa_real_real tptp.uminus_uminus_real Uub)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu)) tptp.one_one_real) tptp.zero_zero_real))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uuc)))))
% 19.00/19.20  (assume a10147 (forall ((Uu tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aTP_Lamm_wr Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_rat_rat tptp.uminus_uminus_rat Uub)) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_rat) tptp.zero_zero_rat))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uuc)))))
% 19.00/19.20  (assume a10148 (forall ((Uu tptp.nat) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aTP_Lamm_wq Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_int_int tptp.uminus_uminus_int Uub)) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_one_int) tptp.zero_zero_int))) (tptp.aa_nat_int (tptp.power_power_int Uua) Uuc)))))
% 19.00/19.20  (assume a10149 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co7370231399432144932at_int) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun6041977265744554632at_int (tptp.aa_fun3475035881565545205at_int (tptp.aTP_Lamm_qd Uu) Uua) Uub) Uuc) (tptp.groups858564598930262913ex_int (tptp.aa_nat8436805559129492965ex_int (tptp.aTP_Lamm_qc Uua) Uuc) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aa_fun5091585579174883964x_bool (tptp.aTP_Lamm_ir Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10150 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_fun_nat_int) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun1494899438858969354at_int (tptp.aa_fun6942549246588167161at_int (tptp.aTP_Lamm_qa Uu) Uua) Uub) Uuc) (tptp.groups4694064378042380927al_int (tptp.aa_nat_fun_real_int (tptp.aTP_Lamm_pz Uua) Uuc) (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aa_fun3382945097342017788l_bool (tptp.aTP_Lamm_bp Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10151 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE7331017413731640256at_int) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun1384843155787029862at_int (tptp.aa_fun6066863168309489065at_int (tptp.aTP_Lamm_px Uu) Uua) Uub) Uuc) (tptp.groups6359315924273963643BT_int (tptp.aa_nat3598295560461965541BT_int (tptp.aTP_Lamm_pw Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_nat8029987864780243636T_bool (tptp.aa_fun4018725027000996448T_bool (tptp.aTP_Lamm_bo Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10152 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co636942507509095880at_nat) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun996456248398975532at_nat (tptp.aa_fun8754082201773474805at_nat (tptp.aTP_Lamm_qr Uu) Uua) Uub) Uuc) (tptp.groups861055069439313189ex_nat (tptp.aa_nat3391284541783913865ex_nat (tptp.aTP_Lamm_iq Uua) Uuc) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aa_fun5091585579174883964x_bool (tptp.aTP_Lamm_ir Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10153 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_fun_nat_nat) (Uub tptp.fun_int_fun_nat_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun4133023758092209198at_nat (tptp.aa_fun7384697781603784697at_nat (tptp.aTP_Lamm_qp Uu) Uua) Uub) Uuc) (tptp.groups1707563613775114915nt_nat (tptp.aa_nat_fun_int_nat (tptp.aTP_Lamm_im Uua) Uuc) (tptp.collect_int (tptp.aa_nat_fun_int_bool (tptp.aa_fun3035398748895483388t_bool (tptp.aTP_Lamm_bx Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10154 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_fun_nat_nat) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5672750458368166062at_nat (tptp.aa_fun6824837968375615225at_nat (tptp.aTP_Lamm_qn Uu) Uua) Uub) Uuc) (tptp.groups4696554848551431203al_nat (tptp.aa_nat_fun_real_nat (tptp.aTP_Lamm_ii Uua) Uuc) (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aa_fun3382945097342017788l_bool (tptp.aTP_Lamm_bp Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10155 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE597728521808591204at_nat) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5562694175296226570at_nat (tptp.aa_fun8318684123515291377at_nat (tptp.aTP_Lamm_ql Uu) Uua) Uub) Uuc) (tptp.groups6361806394783013919BT_nat (tptp.aa_nat7776146579971162249BT_nat (tptp.aTP_Lamm_ie Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_nat8029987864780243636T_bool (tptp.aa_fun4018725027000996448T_bool (tptp.aTP_Lamm_bo Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10156 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co333780937270390912nt_int) (Uub tptp.fun_co2381122952212249071t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun855801025254967176nt_int (tptp.aa_fun315996177946036377nt_int (tptp.aTP_Lamm_qj Uu) Uua) Uub) Uuc) (tptp.groups858564598930262913ex_int (tptp.aa_int6126987627036542017ex_int (tptp.aTP_Lamm_hz Uua) Uuc) (tptp.collect_complex (tptp.aa_int5354780257279585880x_bool (tptp.aa_fun2352441141717865852x_bool (tptp.aTP_Lamm_ia Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10157 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_fun_int_int) (Uub tptp.fun_re8661203372455305201t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun5532095235224157706nt_int (tptp.aa_fun4786959800906006429nt_int (tptp.aTP_Lamm_qh Uu) Uua) Uub) Uuc) (tptp.groups4694064378042380927al_int (tptp.aa_int_fun_real_int (tptp.aTP_Lamm_hr Uua) Uuc) (tptp.collect_real (tptp.aa_int_fun_real_bool (tptp.aa_fun1536421850685375484l_bool (tptp.aTP_Lamm_br Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10158 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE294566951569886236nt_int) (Uub tptp.fun_VE3303673267288458579t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun5422038952152218214nt_int (tptp.aa_fun3638225402958239493nt_int (tptp.aTP_Lamm_qf Uu) Uua) Uub) Uuc) (tptp.groups6359315924273963643BT_int (tptp.aa_int1343382402272391561BT_int (tptp.aTP_Lamm_hn Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_int3199078826956362512T_bool (tptp.aa_fun4417922564241321824T_bool (tptp.aTP_Lamm_bq Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10159 (forall ((Uu tptp.set_real) (Uua tptp.fun_re7208826350674946562omplex) (Uub tptp.fun_re3010880487650781423x_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun8128191506076533516omplex (tptp.aa_fun840110154952133019omplex (tptp.aTP_Lamm_ja Uu) Uua) Uub) Uuc) (tptp.groups5754745047067104278omplex (tptp.aa_com4766338864777664963omplex (tptp.aTP_Lamm_iz Uua) Uuc) (tptp.collect_real (tptp.aa_com8943241093633526360l_bool (tptp.aa_fun8455611678790336124l_bool (tptp.aTP_Lamm_bt Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10160 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE2006399705683203104omplex) (Uub tptp.fun_VE2128610149277289041x_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun1095524714264483688omplex (tptp.aa_fun8876071380179997707omplex (tptp.aTP_Lamm_iw Uu) Uua) Uub) Uuc) (tptp.groups1794756597179926696omplex (tptp.aa_com2862003112617944841omplex (tptp.aTP_Lamm_iv Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_com4769948546659418770T_bool (tptp.aa_fun3341029659329701088T_bool (tptp.aTP_Lamm_bs Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10161 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co636942507509095880at_nat) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun996456248398975532at_nat (tptp.aa_fun8754082201773474805at_nat (tptp.aTP_Lamm_is Uu) Uua) Uub) Uuc) (tptp.groups5693394587270226106ex_nat (tptp.aa_nat3391284541783913865ex_nat (tptp.aTP_Lamm_iq Uua) Uuc) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aa_fun5091585579174883964x_bool (tptp.aTP_Lamm_ir Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10162 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_fun_nat_nat) (Uub tptp.fun_int_fun_nat_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun4133023758092209198at_nat (tptp.aa_fun7384697781603784697at_nat (tptp.aTP_Lamm_in Uu) Uua) Uub) Uuc) (tptp.groups4541462559716669496nt_nat (tptp.aa_nat_fun_int_nat (tptp.aTP_Lamm_im Uua) Uuc) (tptp.collect_int (tptp.aa_nat_fun_int_bool (tptp.aa_fun3035398748895483388t_bool (tptp.aTP_Lamm_bx Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10163 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_fun_nat_nat) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5672750458368166062at_nat (tptp.aa_fun6824837968375615225at_nat (tptp.aTP_Lamm_ij Uu) Uua) Uub) Uuc) (tptp.groups1935376822645274424al_nat (tptp.aa_nat_fun_real_nat (tptp.aTP_Lamm_ii Uua) Uuc) (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aa_fun3382945097342017788l_bool (tptp.aTP_Lamm_bp Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10164 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE597728521808591204at_nat) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5562694175296226570at_nat (tptp.aa_fun8318684123515291377at_nat (tptp.aTP_Lamm_if Uu) Uua) Uub) Uuc) (tptp.groups771621172384141258BT_nat (tptp.aa_nat7776146579971162249BT_nat (tptp.aTP_Lamm_ie Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_nat8029987864780243636T_bool (tptp.aa_fun4018725027000996448T_bool (tptp.aTP_Lamm_bo Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10165 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co333780937270390912nt_int) (Uub tptp.fun_co2381122952212249071t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun855801025254967176nt_int (tptp.aa_fun315996177946036377nt_int (tptp.aTP_Lamm_ib Uu) Uua) Uub) Uuc) (tptp.groups5690904116761175830ex_int (tptp.aa_int6126987627036542017ex_int (tptp.aTP_Lamm_hz Uua) Uuc) (tptp.collect_complex (tptp.aa_int5354780257279585880x_bool (tptp.aa_fun2352441141717865852x_bool (tptp.aTP_Lamm_ia Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10166 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_fun_int_int) (Uub tptp.fun_nat_fun_int_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun4504283173926863078nt_int (tptp.aa_fun5512849559334105941nt_int (tptp.aTP_Lamm_hw Uu) Uua) Uub) Uuc) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_hv Uua) Uuc) (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aa_fun8184653438340336124t_bool (tptp.aTP_Lamm_bv Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10167 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_fun_int_int) (Uub tptp.fun_re8661203372455305201t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun5532095235224157706nt_int (tptp.aa_fun4786959800906006429nt_int (tptp.aTP_Lamm_hs Uu) Uua) Uub) Uuc) (tptp.groups1932886352136224148al_int (tptp.aa_int_fun_real_int (tptp.aTP_Lamm_hr Uua) Uuc) (tptp.collect_real (tptp.aa_int_fun_real_bool (tptp.aa_fun1536421850685375484l_bool (tptp.aTP_Lamm_br Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10168 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE294566951569886236nt_int) (Uub tptp.fun_VE3303673267288458579t_bool) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun5422038952152218214nt_int (tptp.aa_fun3638225402958239493nt_int (tptp.aTP_Lamm_ho Uu) Uua) Uub) Uuc) (tptp.groups769130701875090982BT_int (tptp.aa_int1343382402272391561BT_int (tptp.aTP_Lamm_hn Uua) Uuc) (tptp.collect_VEBT_VEBT (tptp.aa_int3199078826956362512T_bool (tptp.aa_fun4417922564241321824T_bool (tptp.aTP_Lamm_bq Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10169 (forall ((Uu 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_vz Uu) 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_vy Uu) 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)))))
% 19.00/19.20  (assume a10170 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_fun4732485501138722137t_real (tptp.aTP_Lamm_vw Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_vv Uu) Uua) Uuc)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 19.00/19.20  (assume a10171 (forall ((Uu tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_fun2315716387381795033at_int (tptp.aTP_Lamm_vu Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_fun6128006242533108349at_int (tptp.aTP_Lamm_vt Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uuc)))))
% 19.00/19.20  (assume a10172 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_fun5559679822142647773at_rat (tptp.aTP_Lamm_vs Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_fun2663889555218712533at_rat (tptp.aTP_Lamm_vr Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uuc)))))
% 19.00/19.20  (assume a10173 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_fun3721018923249493343omplex (tptp.aTP_Lamm_vq Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_vp Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uuc)))))
% 19.00/19.20  (assume a10174 (forall ((Uu 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_abs Uu) 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 Uu (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.power_power_real Uub) Uuc)))))
% 19.00/19.20  (assume a10175 (forall ((Uu 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_abq Uu) 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 Uu (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.power_power_real Uub) Uuc)))))
% 19.00/19.20  (assume a10176 (forall ((Uu 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_abp Uu) 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 Uu Uuc) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uub) Uua)) Uuc)))))
% 19.00/19.20  (assume a10177 (forall ((Uu 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_abo Uu) 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 Uu Uuc) Uub)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uua) Uub)) Uuc)))))
% 19.00/19.20  (assume a10178 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nl Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uub)))))
% 19.00/19.20  (assume a10179 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_nr Uu) Uua) Uub) Uuc) (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_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uub)))))
% 19.00/19.20  (assume a10180 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_nn Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uub)))))
% 19.00/19.20  (assume a10181 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_np Uu) Uua) Uub) Uuc) (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_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu) Uub)))))
% 19.00/19.20  (assume a10182 (forall ((Uu 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_aap Uu) 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 Uu) 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 Uu) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uub))))))
% 19.00/19.20  (assume a10183 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mq Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uua) Uu)) Uuc)) (tptp.aa_nat_complex (tptp.power_power_complex 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.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 19.00/19.20  (assume a10184 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mu Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uua) Uu)) Uuc)) (tptp.aa_nat_real (tptp.power_power_real 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.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 19.00/19.20  (assume a10185 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_ms Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uua) Uu)) Uuc)) (tptp.aa_nat_rat (tptp.power_power_rat 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.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 19.00/19.20  (assume a10186 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_yh Uu) Uua) Uub) Uuc) (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.binomial Uub) Uuc))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Uu) Uuc))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10187 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_yf Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Uu) Uuc))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10188 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_yg Uu) Uua) Uub) Uuc) (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_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Uu) Uuc))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10189 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_yb Uu) Uua) Uub) Uuc) (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.binomial Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10190 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ye Uu) Uua) Uub) Uuc) (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.binomial Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10191 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_yc Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10192 (forall ((Uu 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_ya Uu) 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 Uu) 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))))))
% 19.00/19.20  (assume a10193 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_yd Uu) Uua) Uub) Uuc) (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_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10194 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nt Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc)))))
% 19.00/19.20  (assume a10195 (forall ((Uu tptp.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_nw Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_real (tptp.power_power_real Uu) Uuc)))))
% 19.00/19.20  (assume a10196 (forall ((Uu tptp.rat) (Uua tptp.nat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nu Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uuc)))))
% 19.00/19.20  (assume a10197 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nv Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_int (tptp.power_power_int Uu) Uuc)))))
% 19.00/19.20  (assume a10198 (forall ((Uu tptp.set_complex) (Uua tptp.fun_VE2128610149277289041x_bool) (Uub tptp.vEBT_VEBT) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_VEB8450443329232412106x_bool (tptp.aa_fun5298830385910147808x_bool (tptp.aTP_Lamm_it Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_VEB8450443329232412106x_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10199 (forall ((Uu tptp.set_complex) (Uua tptp.fun_re3010880487650781423x_bool) (Uub tptp.real) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_rea5887071448072802392x_bool (tptp.aa_fun9179849694055305084x_bool (tptp.aTP_Lamm_ix Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_rea5887071448072802392x_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10200 (forall ((Uu tptp.set_nat) (Uua tptp.fun_VE3763956218935105199t_bool) (Uub tptp.vEBT_VEBT) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool (tptp.aa_fun5431641998072558748t_bool (tptp.aTP_Lamm_ic Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10201 (forall ((Uu tptp.set_nat) (Uua tptp.fun_co2841405903858895691t_bool) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun1991907153922069372t_bool (tptp.aTP_Lamm_io Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_com5335841084339320244t_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10202 (forall ((Uu tptp.set_nat) (Uua tptp.fun_re9121486324101951821t_bool) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_real_fun_nat_bool (tptp.aa_fun5702564393759107580t_bool (tptp.aTP_Lamm_ig Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_real_fun_nat_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10203 (forall ((Uu tptp.set_nat) (Uua tptp.fun_int_fun_nat_bool) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool (tptp.aa_fun3602880909931171836t_bool (tptp.aTP_Lamm_ik Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10204 (forall ((Uu tptp.set_int) (Uua tptp.fun_VE3303673267288458579t_bool) (Uub tptp.vEBT_VEBT) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_VEB1707969225601237452t_bool (tptp.aa_fun978093584635342820t_bool (tptp.aTP_Lamm_hl Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_VEB1707969225601237452t_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10205 (forall ((Uu tptp.set_int) (Uua tptp.fun_co2381122952212249071t_bool) (Uub tptp.complex) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_com2211550117870696024t_bool (tptp.aa_fun8206557716905444476t_bool (tptp.aTP_Lamm_hx Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_com2211550117870696024t_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10206 (forall ((Uu tptp.set_int) (Uua tptp.fun_re8661203372455305201t_bool) (Uub tptp.real) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_real_fun_int_bool (tptp.aa_fun6227302519962330364t_bool (tptp.aTP_Lamm_hp Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_real_fun_int_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10207 (forall ((Uu tptp.set_int) (Uua tptp.fun_nat_fun_int_bool) (Uub tptp.nat) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool (tptp.aa_fun7617171277304647676t_bool (tptp.aTP_Lamm_ht Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool Uua Uub) Uuc))))))
% 19.00/19.20  (assume a10208 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE2128610149277289041x_bool) (Uub tptp.complex) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_com4769948546659418770T_bool (tptp.aa_fun3341029659329701088T_bool (tptp.aTP_Lamm_bs Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_VEB8450443329232412106x_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10209 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE3763956218935105199t_bool) (Uub tptp.nat) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool (tptp.aa_fun4018725027000996448T_bool (tptp.aTP_Lamm_bo Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10210 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE3303673267288458579t_bool) (Uub tptp.int) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_int3199078826956362512T_bool (tptp.aa_fun4417922564241321824T_bool (tptp.aTP_Lamm_bq Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_VEB1707969225601237452t_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10211 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co2841405903858895691t_bool) (Uub tptp.nat) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aa_fun5091585579174883964x_bool (tptp.aTP_Lamm_ir Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_com5335841084339320244t_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10212 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co2381122952212249071t_bool) (Uub tptp.int) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_int5354780257279585880x_bool (tptp.aa_fun2352441141717865852x_bool (tptp.aTP_Lamm_ia Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_com2211550117870696024t_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10213 (forall ((Uu tptp.set_real) (Uua tptp.fun_re3010880487650781423x_bool) (Uub tptp.complex) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_com8943241093633526360l_bool (tptp.aa_fun8455611678790336124l_bool (tptp.aTP_Lamm_bt Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_rea5887071448072802392x_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10214 (forall ((Uu tptp.set_real) (Uua tptp.fun_re9121486324101951821t_bool) (Uub tptp.nat) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_nat_fun_real_bool (tptp.aa_fun3382945097342017788l_bool (tptp.aTP_Lamm_bp Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_real_fun_nat_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10215 (forall ((Uu tptp.set_real) (Uua tptp.fun_re8661203372455305201t_bool) (Uub tptp.int) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_int_fun_real_bool (tptp.aa_fun1536421850685375484l_bool (tptp.aTP_Lamm_br Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_real_fun_int_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10216 (forall ((Uu tptp.set_nat) (Uua tptp.fun_na5941084329111710283x_bool) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun8674784841953735804t_bool (tptp.aTP_Lamm_bw Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10217 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_bu Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10218 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_fun_int_bool) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool (tptp.aa_fun8184653438340336124t_bool (tptp.aTP_Lamm_bv Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10219 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool (tptp.aa_fun3035398748895483388t_bool (tptp.aTP_Lamm_bx Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool Uua Uuc) Uub))))))
% 19.00/19.20  (assume a10220 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nm Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 19.00/19.20  (assume a10221 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ns Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uu) Uuc)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 19.00/19.20  (assume a10222 (forall ((Uu tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_no Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uuc)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 19.00/19.20  (assume a10223 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nq Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uu) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 19.00/19.20  (assume a10224 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nx Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 19.00/19.20  (assume a10225 (forall ((Uu tptp.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_oa Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uu) Uuc)) (tptp.aa_nat_real (tptp.power_power_real Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 19.00/19.20  (assume a10226 (forall ((Uu tptp.rat) (Uua tptp.nat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_ny Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uu) Uuc)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 19.00/19.20  (assume a10227 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nz Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uu) Uuc)) (tptp.aa_nat_int (tptp.power_power_int Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 19.00/19.20  (assume a10228 (forall ((Uu 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_xz Uu) 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 Uu) 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))))))
% 19.00/19.20  (assume a10229 (forall ((Uu 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_aau Uu) 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 Uu) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.00/19.20  (assume a10230 (forall ((Uu 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_adl Uu) 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 Uu) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uub))))))
% 19.00/19.20  (assume a10231 (forall ((Uu 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_aas Uu) 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 Uu) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.00/19.20  (assume a10232 (forall ((Uu 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_aaw Uu) 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 Uu) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uuc)))))
% 19.00/19.20  (assume a10233 (forall ((Uu 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_aay Uu) 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 Uu) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.00/19.20  (assume a10234 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.fun_VE5569070535936029429omplex) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun8092769222387074655T_bool (tptp.aa_fun4024526296178165685T_bool (tptp.aTP_Lamm_cy Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_VEBT_VEBT_complex Uua Uuc)) (tptp.aa_VEBT_VEBT_complex Uub Uuc)) tptp.one_one_complex))))))
% 19.00/19.20  (assume a10235 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.fun_VEBT_VEBT_real) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun5605965666826184925T_bool (tptp.aa_fun4082248197810269365T_bool (tptp.aTP_Lamm_di Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_VEBT_VEBT_real Uua Uuc)) (tptp.aa_VEBT_VEBT_real Uub Uuc)) tptp.one_one_real))))))
% 19.00/19.20  (assume a10236 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_complex) (Uub tptp.fun_complex_complex) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun9073502203726719595x_bool (tptp.aa_fun6641798613628721963x_bool (tptp.aTP_Lamm_dg Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex Uua Uuc)) (tptp.aa_complex_complex Uub Uuc)) tptp.one_one_complex))))))
% 19.00/19.20  (assume a10237 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_dq Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)) tptp.one_one_real))))))
% 19.00/19.20  (assume a10238 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_complex) (Uub tptp.fun_real_complex) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun3813300650643916655l_bool (tptp.aa_fun5520078544946397361l_bool (tptp.aTP_Lamm_da Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex Uua Uuc)) (tptp.aa_real_complex Uub Uuc)) tptp.one_one_complex))))))
% 19.00/19.20  (assume a10239 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.fun_real_real) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_dk Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real Uua Uuc)) (tptp.aa_real_real Uub Uuc)) tptp.one_one_real))))))
% 19.00/19.20  (assume a10240 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun8004580481347240231t_bool (tptp.aa_fun5430245816583273541t_bool (tptp.aTP_Lamm_dc Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_nat_complex Uub Uuc)) tptp.one_one_complex))))))
% 19.00/19.20  (assume a10241 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_dm Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)) tptp.one_one_real))))))
% 19.00/19.20  (assume a10242 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_complex) (Uub tptp.fun_int_complex) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun8146511558608327279t_bool (tptp.aa_fun3850298374753145905t_bool (tptp.aTP_Lamm_de Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex Uua Uuc)) (tptp.aa_int_complex Uub Uuc)) tptp.one_one_complex))))))
% 19.00/19.20  (assume a10243 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.fun_int_real) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_do Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real Uua Uuc)) (tptp.aa_int_real Uub Uuc)) tptp.one_one_real))))))
% 19.00/19.20  (assume a10244 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VE5569070535936029429omplex) (Uub tptp.fun_VE5569070535936029429omplex) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun8092769222387074655T_bool (tptp.aa_fun4024526296178165685T_bool (tptp.aTP_Lamm_ds Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_VEBT_VEBT_complex Uua Uuc)) (tptp.aa_VEBT_VEBT_complex Uub Uuc)) tptp.zero_zero_complex))))))
% 19.00/19.20  (assume a10245 (forall ((Uu tptp.set_VEBT_VEBT) (Uua tptp.fun_VEBT_VEBT_real) (Uub tptp.fun_VEBT_VEBT_real) (Uuc tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_fun5605965666826184925T_bool (tptp.aa_fun4082248197810269365T_bool (tptp.aTP_Lamm_ec Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_VEBT_VEBT_real Uua Uuc)) (tptp.aa_VEBT_VEBT_real Uub Uuc)) tptp.zero_zero_real))))))
% 19.00/19.20  (assume a10246 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_complex) (Uub tptp.fun_complex_complex) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun9073502203726719595x_bool (tptp.aa_fun6641798613628721963x_bool (tptp.aTP_Lamm_ea Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex Uua Uuc)) (tptp.aa_complex_complex Uub Uuc)) tptp.zero_zero_complex))))))
% 19.00/19.20  (assume a10247 (forall ((Uu tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_ek Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)) tptp.zero_zero_real))))))
% 19.00/19.20  (assume a10248 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_complex) (Uub tptp.fun_real_complex) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun3813300650643916655l_bool (tptp.aa_fun5520078544946397361l_bool (tptp.aTP_Lamm_du Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex Uua Uuc)) (tptp.aa_real_complex Uub Uuc)) tptp.zero_zero_complex))))))
% 19.00/19.20  (assume a10249 (forall ((Uu tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.fun_real_real) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_ee Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real Uua Uuc)) (tptp.aa_real_real Uub Uuc)) tptp.zero_zero_real))))))
% 19.00/19.20  (assume a10250 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun8004580481347240231t_bool (tptp.aa_fun5430245816583273541t_bool (tptp.aTP_Lamm_dw Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_nat_complex Uub Uuc)) tptp.zero_zero_complex))))))
% 19.00/19.20  (assume a10251 (forall ((Uu tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_eg Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)) tptp.zero_zero_real))))))
% 19.00/19.20  (assume a10252 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_complex) (Uub tptp.fun_int_complex) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun8146511558608327279t_bool (tptp.aa_fun3850298374753145905t_bool (tptp.aTP_Lamm_dy Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex Uua Uuc)) (tptp.aa_int_complex Uub Uuc)) tptp.zero_zero_complex))))))
% 19.00/19.20  (assume a10253 (forall ((Uu tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.fun_int_real) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_ei Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real Uua Uuc)) (tptp.aa_int_real Uub Uuc)) tptp.zero_zero_real))))))
% 19.00/19.20  (assume a10254 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_um Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uuc)))))
% 19.00/19.20  (assume a10255 (forall ((Uu tptp.fun_nat_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_un Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uua))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 19.00/19.20  (assume a10256 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_tk Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uuc)) (tptp.aa_nat_complex (tptp.power_power_complex 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.minus_minus_nat Uuc) Uub)) tptp.one_one_nat))))))
% 19.00/19.20  (assume a10257 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tt Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uuc)) (tptp.aa_nat_real (tptp.power_power_real 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.minus_minus_nat Uuc) Uub)) tptp.one_one_nat))))))
% 19.00/19.20  (assume a10258 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tn Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uuc)) (tptp.aa_nat_rat (tptp.power_power_rat 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.minus_minus_nat Uuc) Uub)) tptp.one_one_nat))))))
% 19.00/19.20  (assume a10259 (forall ((Uu tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_tq Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uuc)) (tptp.aa_nat_int (tptp.power_power_int 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.minus_minus_nat Uuc) Uub)) tptp.one_one_nat))))))
% 19.00/19.20  (assume a10260 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_vp Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uuc)) (tptp.aa_nat_complex Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10261 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_vv Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uuc)) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10262 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_fun2663889555218712533at_rat (tptp.aTP_Lamm_vr Uu) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu Uuc)) (tptp.aa_nat_rat Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10263 (forall ((Uu 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_vy Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uuc)) (tptp.aa_nat_nat Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10264 (forall ((Uu tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_fun6128006242533108349at_int (tptp.aTP_Lamm_vt Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uuc)) (tptp.aa_nat_int Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.00/19.20  (assume a10265 (forall ((Uu tptp.set_nat) (Uua tptp.fun_co636942507509095880at_nat) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun9050545535516344074ex_nat (tptp.aa_fun2757644259618170323ex_nat (tptp.aTP_Lamm_qq Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_com6383720667567721865at_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun1991907153922069372t_bool (tptp.aTP_Lamm_io Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10266 (forall ((Uu tptp.set_nat) (Uua tptp.fun_co7370231399432144932at_int) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun4872694516007147366ex_int (tptp.aa_fun2110580046701903059ex_int (tptp.aTP_Lamm_qb Uu) Uua) Uub) Uuc) (tptp.groups705719431365010083at_int (tptp.aa_com2205869648058525157at_int Uua Uuc) (tptp.collect_nat (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun1991907153922069372t_bool (tptp.aTP_Lamm_io Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10267 (forall ((Uu tptp.set_nat) (Uua tptp.fun_int_fun_nat_nat) (Uub tptp.fun_int_fun_nat_bool) (Uuc tptp.int)) (= (tptp.aa_int_nat (tptp.aa_fun5132377469993263754nt_nat (tptp.aa_fun348247319442030677nt_nat (tptp.aTP_Lamm_qo Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_int_fun_nat_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aa_fun3602880909931171836t_bool (tptp.aTP_Lamm_ik Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10268 (forall ((Uu tptp.set_nat) (Uua tptp.fun_real_fun_nat_nat) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun5804151645385689226al_nat (tptp.aa_fun8436216498351771861al_nat (tptp.aTP_Lamm_qm Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_real_fun_nat_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_real_fun_nat_bool (tptp.aa_fun5702564393759107580t_bool (tptp.aTP_Lamm_ig Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10269 (forall ((Uu tptp.set_nat) (Uua tptp.fun_real_fun_nat_int) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun1626300625876492518al_int (tptp.aa_fun1560246819506852821al_int (tptp.aTP_Lamm_py Uu) Uua) Uub) Uuc) (tptp.groups705719431365010083at_int (tptp.aa_real_fun_nat_int Uua Uuc) (tptp.collect_nat (tptp.aa_real_fun_nat_bool (tptp.aa_fun5702564393759107580t_bool (tptp.aTP_Lamm_ig Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10270 (forall ((Uu tptp.set_nat) (Uua tptp.fun_VE597728521808591204at_nat) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat (tptp.aa_fun1096289392377091562BT_nat (tptp.aa_fun7476968357888788569BT_nat (tptp.aTP_Lamm_qk Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_VEB1122092716774696213at_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool (tptp.aa_fun5431641998072558748t_bool (tptp.aTP_Lamm_ic Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10271 (forall ((Uu tptp.set_nat) (Uua tptp.fun_VE7331017413731640256at_int) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_fun6141810409722670662BT_int (tptp.aa_fun6474440919679335769BT_int (tptp.aTP_Lamm_pv Uu) Uua) Uub) Uuc) (tptp.groups705719431365010083at_int (tptp.aa_VEB6167613734120275313at_int Uua Uuc) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool (tptp.aa_fun5431641998072558748t_bool (tptp.aTP_Lamm_ic Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10272 (forall ((Uu tptp.set_int) (Uua tptp.fun_co333780937270390912nt_int) (Uub tptp.fun_co2381122952212249071t_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun3700423334941611530ex_int (tptp.aa_fun3520494530470439451ex_int (tptp.aTP_Lamm_qi Uu) Uua) Uub) Uuc) (tptp.groups1705073143266064639nt_int (tptp.aa_com3205223359959579713nt_int Uua Uuc) (tptp.collect_int (tptp.aa_com2211550117870696024t_bool (tptp.aa_fun8206557716905444476t_bool (tptp.aTP_Lamm_hx Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10273 (forall ((Uu tptp.set_int) (Uua tptp.fun_real_fun_int_int) (Uub tptp.fun_re8661203372455305201t_bool) (Uuc tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun529217645232493962al_int (tptp.aa_fun5832317237790237469al_int (tptp.aTP_Lamm_qg Uu) Uua) Uub) Uuc) (tptp.groups1705073143266064639nt_int (tptp.aa_real_fun_int_int Uua Uuc) (tptp.collect_int (tptp.aa_real_fun_int_bool (tptp.aa_fun6227302519962330364t_bool (tptp.aTP_Lamm_hp Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10274 (forall ((Uu tptp.set_int) (Uua tptp.fun_VE294566951569886236nt_int) (Uub tptp.fun_VE3303673267288458579t_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_fun4615758601980977314BT_int (tptp.aa_fun627869447348354137BT_int (tptp.aTP_Lamm_qe Uu) Uua) Uub) Uuc) (tptp.groups1705073143266064639nt_int (tptp.aa_VEB7166967446021329869nt_int Uua Uuc) (tptp.collect_int (tptp.aa_VEB1707969225601237452t_bool (tptp.aa_fun978093584635342820t_bool (tptp.aTP_Lamm_hl Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10275 (forall ((Uu tptp.set_complex) (Uua tptp.fun_re7208826350674946562omplex) (Uub tptp.fun_re3010880487650781423x_bool) (Uuc tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun4873726854752153866omplex (tptp.aa_fun883667864959905433omplex (tptp.aTP_Lamm_iy Uu) Uua) Uub) Uuc) (tptp.groups7754918857620584856omplex (tptp.aa_rea2618301233319580611omplex Uua Uuc) (tptp.collect_complex (tptp.aa_rea5887071448072802392x_bool (tptp.aa_fun9179849694055305084x_bool (tptp.aTP_Lamm_ix Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10276 (forall ((Uu tptp.set_complex) (Uua tptp.fun_VE2006399705683203104omplex) (Uub tptp.fun_VE2128610149277289041x_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_complex (tptp.aa_fun6203732500129703078omplex (tptp.aa_fun7613540521737166425omplex (tptp.aTP_Lamm_iu Uu) Uua) Uub) Uuc) (tptp.groups7754918857620584856omplex (tptp.aa_VEB5608662635949521omplex Uua Uuc) (tptp.collect_complex (tptp.aa_VEB8450443329232412106x_bool (tptp.aa_fun5298830385910147808x_bool (tptp.aTP_Lamm_it Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10277 (forall ((Uu tptp.set_nat) (Uua tptp.fun_co636942507509095880at_nat) (Uub tptp.fun_co2841405903858895691t_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun9050545535516344074ex_nat (tptp.aa_fun2757644259618170323ex_nat (tptp.aTP_Lamm_ip Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_com6383720667567721865at_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_com5335841084339320244t_bool (tptp.aa_fun1991907153922069372t_bool (tptp.aTP_Lamm_io Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10278 (forall ((Uu tptp.set_nat) (Uua tptp.fun_int_fun_nat_nat) (Uub tptp.fun_int_fun_nat_bool) (Uuc tptp.int)) (= (tptp.aa_int_nat (tptp.aa_fun5132377469993263754nt_nat (tptp.aa_fun348247319442030677nt_nat (tptp.aTP_Lamm_il Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_int_fun_nat_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aa_fun3602880909931171836t_bool (tptp.aTP_Lamm_ik Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10279 (forall ((Uu tptp.set_nat) (Uua tptp.fun_real_fun_nat_nat) (Uub tptp.fun_re9121486324101951821t_bool) (Uuc tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun5804151645385689226al_nat (tptp.aa_fun8436216498351771861al_nat (tptp.aTP_Lamm_ih Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_real_fun_nat_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_real_fun_nat_bool (tptp.aa_fun5702564393759107580t_bool (tptp.aTP_Lamm_ig Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10280 (forall ((Uu tptp.set_nat) (Uua tptp.fun_VE597728521808591204at_nat) (Uub tptp.fun_VE3763956218935105199t_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat (tptp.aa_fun1096289392377091562BT_nat (tptp.aa_fun7476968357888788569BT_nat (tptp.aTP_Lamm_id Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_VEB1122092716774696213at_nat Uua Uuc)) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool (tptp.aa_fun5431641998072558748t_bool (tptp.aTP_Lamm_ic Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10281 (forall ((Uu tptp.set_int) (Uua tptp.fun_co333780937270390912nt_int) (Uub tptp.fun_co2381122952212249071t_bool) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun3700423334941611530ex_int (tptp.aa_fun3520494530470439451ex_int (tptp.aTP_Lamm_hy Uu) Uua) Uub) Uuc) (tptp.groups4538972089207619220nt_int (tptp.aa_com3205223359959579713nt_int Uua Uuc) (tptp.collect_int (tptp.aa_com2211550117870696024t_bool (tptp.aa_fun8206557716905444476t_bool (tptp.aTP_Lamm_hx Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10282 (forall ((Uu tptp.set_int) (Uua tptp.fun_nat_fun_int_int) (Uub tptp.fun_nat_fun_int_bool) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun3504929462025808522at_int (tptp.aa_fun3325927984641084153at_int (tptp.aTP_Lamm_hu Uu) Uua) Uub) Uuc) (tptp.groups4538972089207619220nt_int (tptp.aa_nat_fun_int_int Uua Uuc) (tptp.collect_int (tptp.aa_nat_fun_int_bool (tptp.aa_fun7617171277304647676t_bool (tptp.aTP_Lamm_ht Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10283 (forall ((Uu tptp.set_int) (Uua tptp.fun_real_fun_int_int) (Uub tptp.fun_re8661203372455305201t_bool) (Uuc tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun529217645232493962al_int (tptp.aa_fun5832317237790237469al_int (tptp.aTP_Lamm_hq Uu) Uua) Uub) Uuc) (tptp.groups4538972089207619220nt_int (tptp.aa_real_fun_int_int Uua Uuc) (tptp.collect_int (tptp.aa_real_fun_int_bool (tptp.aa_fun6227302519962330364t_bool (tptp.aTP_Lamm_hp Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10284 (forall ((Uu tptp.set_int) (Uua tptp.fun_VE294566951569886236nt_int) (Uub tptp.fun_VE3303673267288458579t_bool) (Uuc tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_int (tptp.aa_fun4615758601980977314BT_int (tptp.aa_fun627869447348354137BT_int (tptp.aTP_Lamm_hm Uu) Uua) Uub) Uuc) (tptp.groups4538972089207619220nt_int (tptp.aa_VEB7166967446021329869nt_int Uua Uuc) (tptp.collect_int (tptp.aa_VEB1707969225601237452t_bool (tptp.aa_fun978093584635342820t_bool (tptp.aTP_Lamm_hl Uu) Uub) Uuc))))))
% 19.00/19.20  (assume a10285 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_nat4085805313368488148t_real (tptp.aTP_Lamm_le Uu) Uua) Uub) Uuc) (tptp.aa_nat_real Uu (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)))))
% 19.00/19.20  (assume a10286 (forall ((Uu 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_ld Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat Uu (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)))))
% 19.00/19.20  (assume a10287 (forall ((Uu 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_si Uu) Uua) Uub) Uuc) (tptp.aa_nat_int Uu (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)))))
% 19.00/19.20  (assume a10288 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_xb Uu) Uua) Uub) Uuc) Uud) (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aa_rea6454571821648764761t_real (tptp.aTP_Lamm_xa Uua) Uub) 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 Uu) Uud))))))
% 19.00/19.20  (assume a10289 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.int) (Uuc tptp.int) (Uud tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_wz Uu) Uua) Uub) Uuc) Uud) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aa_int6823550873765277145at_int (tptp.aTP_Lamm_wy Uua) Uub) 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 Uu) Uud))))))
% 19.00/19.20  (assume a10290 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_wx Uu) Uua) Uub) Uuc) Uud) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aa_rat8984911954100663005at_rat (tptp.aTP_Lamm_ww Uua) Uub) 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 Uu) Uud))))))
% 19.00/19.20  (assume a10291 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_wv Uu) Uua) Uub) Uuc) Uud) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aa_com7713930848417683039omplex (tptp.aTP_Lamm_wu Uua) Uub) 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 Uu) Uud))))))
% 19.00/19.20  (assume a10292 (forall ((Uu 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_abr Uu) 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.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_abq 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 Uu) 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.power_power_real Uud) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uuc))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uuc)))))))))
% 19.00/19.20  (assume a10293 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_tu Uu) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_set_nat_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tt Uua) Uuc) Uud)) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud) Uu))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud)))))
% 19.00/19.20  (assume a10294 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.int) (Uuc tptp.int) (Uud tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_tr Uu) Uua) Uub) Uuc) Uud) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_tq Uua) Uuc) Uud) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud) Uu))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uud)))))
% 19.00/19.20  (assume a10295 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_to Uu) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tn Uua) Uuc) Uud) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud) Uu))) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud)))))
% 19.00/19.20  (assume a10296 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_tl Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_tk Uua) Uuc) Uud) (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud) Uu))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud)))))
% 19.00/19.20  (assume a10297 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zs Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uud)) Uua)) tptp.one_one_complex)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10298 (forall ((Uu tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zu Uu) Uua) Uub) Uuc) Uud) (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.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 (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uud)) Uua)) tptp.one_one_real)) Uud)) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10299 (forall ((Uu tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zt Uu) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uud)) Uua)) tptp.one_one_rat)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10300 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zh Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uu)) Uua)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10301 (forall ((Uu tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zl Uu) Uua) Uub) Uuc) Uud) (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.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu)) Uua)) Uud)) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10302 (forall ((Uu tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zj Uu) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu)) Uua)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10303 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_zi Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uua)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uub)) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10304 (forall ((Uu tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_zm Uu) Uua) Uub) Uuc) Uud) (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.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real Uua)) Uud)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real Uub)) Uud))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10305 (forall ((Uu tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_zk Uu) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat Uua)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat Uub)) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.plus_plus_rat Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 19.00/19.20  (assume a10306 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aa_com7713930848417683039omplex (tptp.aTP_Lamm_wu Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu (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 Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uuc)))))
% 19.00/19.20  (assume a10307 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aa_rea6454571821648764761t_real (tptp.aTP_Lamm_xa Uu) Uua) Uub) Uuc) Uud) (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 Uu (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 Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uuc)))))
% 19.00/19.20  (assume a10308 (forall ((Uu tptp.fun_nat_rat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aa_rat8984911954100663005at_rat (tptp.aTP_Lamm_ww Uu) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_rat_rat (tptp.times_times_rat (tptp.aa_nat_rat Uu (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 Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uuc)))))
% 19.00/19.20  (assume a10309 (forall ((Uu tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aa_int6823550873765277145at_int (tptp.aTP_Lamm_wy Uu) Uua) Uub) Uuc) Uud) (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_nat_int Uu (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 Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uud))) (tptp.aa_nat_int (tptp.power_power_int Uua) Uuc)))))
% 19.00/19.20  (assume a10310 (forall ((Uu 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_aco Uu) 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))) Uu))) (forall ((I5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I5) (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 Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu) (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 I5)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Uub) I5))))) (=> (= Uuc Uud) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Uua))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) 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 Uu) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uud)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (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))) Uu))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) X3)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Uud))))))))))))
% 19.00/19.20  (assume a10311 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_tx Uu) Uua) Uu)))
% 19.00/19.20  (assume a10312 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ty Uu) Uua) Uu)))
% 19.00/19.20  (assume a10313 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_cd Uu) Uu)))
% 19.00/19.20  (assume a10314 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_ce Uu) Uu)))
% 19.00/19.20  (assume a10315 (forall ((Uu tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_cf Uu) Uu)))
% 19.00/19.20  (assume a10316 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_cg Uu) Uu)))
% 19.00/19.20  (assume a10317 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_ch Uu) Uu)))
% 19.00/19.20  (assume a10318 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_by Uu) tptp.zero_zero_complex)))
% 19.00/19.20  (assume a10319 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_bz Uu) tptp.zero_zero_real)))
% 19.00/19.20  (assume a10320 (forall ((Uu tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_ca Uu) tptp.zero_zero_rat)))
% 19.00/19.20  (assume a10321 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_complex tptp.aTP_Lamm_oi Uu) tptp.zero_zero_complex)))
% 19.00/19.20  (assume a10322 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_fi Uu) tptp.zero_zero_real)))
% 19.00/19.20  (assume a10323 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_cb Uu) tptp.zero_zero_nat)))
% 19.00/19.20  (assume a10324 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_int tptp.aTP_Lamm_oj Uu) tptp.zero_zero_int)))
% 19.00/19.20  (assume a10325 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_cc Uu) tptp.zero_zero_int)))
% 19.00/19.20  (assume a10326 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_bl Uu)) false)))
% 19.00/19.20  (assume a10327 (forall ((Uu tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool tptp.aTP_Lamm_bj Uu)) false)))
% 19.00/19.20  (assume a10328 (forall ((Uu tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.aTP_Lamm_bk Uu)) false)))
% 19.00/19.20  (assume a10329 (forall ((Uu tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_bm Uu)) false)))
% 19.00/19.20  (assume a10330 (forall ((Uu tptp.int)) (= (tptp.pp (tptp.aa_int_bool tptp.aTP_Lamm_bn Uu)) false)))
% 19.00/19.20  (assume a10331 (forall ((Uu tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_aal Uu)) true)))
% 19.00/19.20  (assume a10332 (forall ((P tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool tptp.fNot P)))))
% 19.00/19.20  (assume a10333 (forall ((P tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool tptp.fNot P))) (not (tptp.pp P)))))
% 19.00/19.20  (assume a10334 (tptp.pp tptp.fTrue))
% 19.00/19.20  (assume a10335 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp Q))))
% 19.00/19.20  (assume a10336 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp P))))
% 19.00/19.20  (assume a10337 (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)))))
% 19.00/19.20  (assume a10338 (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))))
% 19.00/19.20  (assume a10339 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 19.00/19.20  (assume a10340 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 19.00/19.20  (assume a10341 (not (tptp.pp tptp.fFalse)))
% 19.00/19.20  (assume a10342 (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))))
% 19.00/19.20  (assume a10343 (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)))))
% 19.00/19.20  (assume a10344 (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)))))
% 19.00/19.20  (assume a10345 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fFalse X2) Y) Y)))
% 19.00/19.20  (assume a10346 (forall ((X2 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fTrue X2) Y) X2)))
% 19.00/19.20  (assume a10347 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fFalse) X2) Y) Y)))
% 19.00/19.20  (assume a10348 (forall ((X2 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fTrue) X2) Y) X2)))
% 19.00/19.20  (assume a10349 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.if_rat tptp.fFalse X2) Y) Y)))
% 19.00/19.20  (assume a10350 (forall ((X2 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.if_rat tptp.fTrue X2) Y) X2)))
% 19.00/19.20  (assume a10351 (forall ((P tptp.fun_nat_bool) (X2 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool P X2))) (tptp.pp (tptp.aa_fun_nat_bool_bool tptp.fEx_nat P)))))
% 19.00/19.20  (assume a10352 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fFalse) X2) Y) Y)))
% 19.00/19.20  (assume a10353 (forall ((X2 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fTrue) X2) Y) X2)))
% 19.00/19.20  (assume a10354 (forall ((X2 tptp.int) (Y tptp.int)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X2) Y)))))
% 19.00/19.20  (assume a10355 (forall ((X2 tptp.int) (Y tptp.int)) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10356 (forall ((X2 tptp.nat) (Y tptp.nat)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X2) Y)))))
% 19.00/19.20  (assume a10357 (forall ((X2 tptp.nat) (Y tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10358 (forall ((X2 tptp.rat) (Y tptp.rat)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat X2) Y)))))
% 19.00/19.20  (assume a10359 (forall ((X2 tptp.rat) (Y tptp.rat)) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10360 (forall ((X2 tptp.bool) (Y tptp.bool)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_bool_bool (tptp.fequal_bool X2) Y)))))
% 19.00/19.20  (assume a10361 (forall ((X2 tptp.bool) (Y tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fequal_bool X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10362 (forall ((X2 tptp.real) (Y tptp.real)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X2) Y)))))
% 19.00/19.20  (assume a10363 (forall ((X2 tptp.real) (Y tptp.real)) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10364 (forall ((P tptp.fun_real_bool)) (= (tptp.aa_real_bool P (tptp.fChoice_real P)) (tptp.aa_fun3352386287069783311l_bool tptp.fEx_real P))))
% 19.00/19.20  (assume a10365 (forall ((X2 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fFalse X2) Y) Y)))
% 19.00/19.20  (assume a10366 (forall ((X2 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fTrue X2) Y) X2)))
% 19.00/19.20  (assume a10367 (forall ((X2 tptp.complex) (Y tptp.complex)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X2) Y)))))
% 19.00/19.20  (assume a10368 (forall ((X2 tptp.complex) (Y tptp.complex)) (or (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10369 (forall ((X2 tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.if_Extended_enat tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10370 (forall ((X2 tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.if_Extended_enat tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10371 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10372 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10373 (forall ((X2 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.aa_VEB5832953974749077948T_VEBT (tptp.if_VEBT_VEBT tptp.fFalse X2) Y) Y)))
% 19.00/19.20  (assume a10374 (forall ((X2 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.aa_VEB5832953974749077948T_VEBT (tptp.if_VEBT_VEBT tptp.fTrue X2) Y) X2)))
% 19.00/19.20  (assume a10375 (forall ((P tptp.fun_VEBT_VEBT_bool) (X2 tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.fAll_VEBT_VEBT P))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X2)))))
% 19.00/19.20  (assume a10376 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X2) Y)))))
% 19.00/19.20  (assume a10377 (forall ((X2 tptp.code_integer) (Y tptp.code_integer)) (or (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10378 (forall ((X2 tptp.set_nat) (Y tptp.set_nat)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.fequal_set_nat X2) Y)))))
% 19.00/19.20  (assume a10379 (forall ((X2 tptp.set_nat) (Y tptp.set_nat)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool tptp.fequal_set_nat X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10380 (forall ((X2 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT X2) Y)))))
% 19.00/19.20  (assume a10381 (forall ((X2 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_VEB2578974996309632030T_bool tptp.fequal_VEBT_VEBT X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10382 (forall ((X2 tptp.list_nat) (Y tptp.list_nat)) (or (not (= X2 Y)) (tptp.pp (tptp.aa_list_nat_bool (tptp.fequal_list_nat X2) Y)))))
% 19.00/19.20  (assume a10383 (forall ((X2 tptp.list_nat) (Y tptp.list_nat)) (or (not (tptp.pp (tptp.aa_list_nat_bool (tptp.fequal_list_nat X2) Y))) (= X2 Y))))
% 19.00/19.20  (assume a10384 (forall ((X2 tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10385 (forall ((X2 tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10386 (forall ((X2 tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.if_Pro3027730157355071871nt_int tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10387 (forall ((X2 tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.if_Pro3027730157355071871nt_int tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10388 (forall ((X2 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.if_Pro6206227464963214023at_nat tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10389 (forall ((X2 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.if_Pro6206227464963214023at_nat tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10390 (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)))))
% 19.00/19.20  (assume a10391 (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)))))
% 19.00/19.20  (assume a10392 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 19.00/19.20  (assume a10393 (forall ((X2 tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fFalse X2 Y) Y)))
% 19.00/19.20  (assume a10394 (forall ((X2 tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fTrue X2 Y) X2)))
% 19.00/19.20  (assume a10395 (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)))))
% 19.00/19.20  (assume a10396 (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)))))
% 19.00/19.20  (assume a10397 (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))))
% 19.00/19.20  (assume a10398 (not (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3)))))
% 19.00/19.20  (assume a10399 true)
% 19.00/19.20  (step t1 (cl (not (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))) :rule or_pos)
% 19.00/19.20  (step t2 (cl (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))) (not (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))))) :rule reordering :premises (t1))
% 19.00/19.20  (step t3 (cl (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) :rule implies_neg1)
% 19.00/19.20  (anchor :step t4)
% 19.00/19.20  (assume t4.a0 (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))))
% 19.00/19.20  (step t4.t1 (cl (or (not (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))))) :rule forall_inst :args ((:= T (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))))
% 19.00/19.20  (step t4.t2 (cl (not (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule or :premises (t4.t1))
% 19.00/19.20  (step t4.t3 (cl (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule resolution :premises (t4.t2 t4.a0))
% 19.00/19.20  (step t4 (cl (not (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule subproof :discharge (t4.a0))
% 19.00/19.20  (step t5 (cl (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule resolution :premises (t3 t4))
% 19.00/19.20  (step t6 (cl (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) (not (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))))) :rule implies_neg2)
% 19.00/19.20  (step t7 (cl (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))))) :rule resolution :premises (t5 t6))
% 19.00/19.20  (step t8 (cl (=> (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))))) :rule contraction :premises (t7))
% 19.00/19.20  (step t9 (cl (not (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule implies :premises (t8))
% 19.00/19.20  (step t10 (cl (not (= (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))))) (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))))) (not (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)))))) (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) :rule equiv_pos2)
% 19.00/19.20  (anchor :step t11 :args ((T tptp.vEBT_VEBT) (:= T T)))
% 19.00/19.20  (step t11.t1 (cl (= T T)) :rule refl)
% 19.00/19.20  (step t11.t2 (cl (= (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))))) :rule refl)
% 19.00/19.20  (step t11.t3 (cl (= (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) :rule all_simplify)
% 19.00/19.20  (step t11.t4 (cl (= (=> (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)))) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) :rule cong :premises (t11.t2 t11.t3))
% 19.00/19.20  (step t11 (cl (= (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))))) (forall ((T tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))))) :rule bind)
% 19.00/19.20  (step t12 (cl (= (forall ((T tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))) (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))))) :rule all_simplify)
% 19.00/19.20  (step t13 (cl (= (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))))) (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))))) :rule trans :premises (t11 t12))
% 19.00/19.20  (step t14 (cl (forall ((T tptp.vEBT_VEBT)) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (forall ((X_1 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1)))))))) :rule resolution :premises (t10 t13 a0))
% 19.00/19.20  (step t15 (cl (or (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.mi) tptp.na)))) (not (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))))) :rule resolution :premises (t9 t14))
% 19.00/19.20  (step t16 (cl (= (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))) (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1)))))) :rule hole :args ((forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))) (= Y3 X_1)))
% 19.00/19.20  (step t17 (cl (not (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3))))) (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))) :rule equiv1 :premises (t16))
% 19.00/19.20  (step t18 (cl (not (= (not (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3)))) (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))))) (not (not (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3))))) (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3))))) :rule equiv_pos2)
% 19.00/19.27  (step t19 (cl (= (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3))) (not (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3))))))) :rule all_simplify)
% 19.00/19.27  (step t20 (cl (= (not (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3)))) (not (not (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))))))) :rule cong :premises (t19))
% 19.00/19.27  (step t21 (cl (= (not (not (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))))) (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))))) :rule all_simplify)
% 19.00/19.27  (step t22 (cl (= (not (exists ((Y3 tptp.nat)) (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.mi) tptp.na))) Y3)))) (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3)))))) :rule trans :premises (t20 t21))
% 19.00/19.27  (step t23 (cl (forall ((Y3 tptp.nat)) (not (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.mi) tptp.na))) Y3))))) :rule resolution :premises (t18 t22 a10398))
% 19.00/19.27  (step t24 (cl (forall ((X_1 tptp.nat)) (not (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.mi) tptp.na))) X_1))))) :rule resolution :premises (t17 t23))
% 19.00/19.27  (step t25 (cl) :rule resolution :premises (t2 t15 t24 a1))
% 19.00/19.27  
% 19.00/19.27  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.uVAh63lk9A/cvc5---1.0.5_22598.smt2
% 19.00/19.27  % cvc5---1.0.5 exiting
% 19.14/19.27  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------