TSTP Solution File: ITP269_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP269_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 17:13:40 EDT 2024
% Result : Theorem 16.70s 16.88s
% Output : Proof 16.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 5.68/5.72 % Problem : ITP269_1 : TPTP v8.2.0. Released v8.0.0.
% 5.68/5.74 % Command : do_cvc5 %s %d
% 5.74/5.95 % Computer : n012.cluster.edu
% 5.74/5.95 % Model : x86_64 x86_64
% 5.74/5.95 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 5.74/5.95 % Memory : 8042.1875MB
% 5.74/5.95 % OS : Linux 3.10.0-693.el7.x86_64
% 5.74/5.95 % CPULimit : 300
% 5.74/5.95 % WCLimit : 300
% 5.74/5.95 % DateTime : Sun May 26 03:56:44 EDT 2024
% 5.81/5.95 % CPUTime :
% 13.19/13.40 %----Proving TF0_NAR, FOF, or CNF
% 16.70/16.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 16.70/16.88 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.uA7P1UbwVC/cvc5---1.0.5_19741.smt2
% 16.70/16.88 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.uA7P1UbwVC/cvc5---1.0.5_19741.smt2
% 16.70/16.88 (assume a0 (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)))
% 16.70/16.88 (assume a1 (forall ((X tptp.nat) (D tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.vEBT_VEBT_bit_concat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) D)) D) X)))
% 16.70/16.88 (assume a2 (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))))
% 16.70/16.88 (assume a3 (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))))
% 16.70/16.88 (assume a4 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.88 (assume a5 (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))))))
% 16.70/16.88 (assume a6 (= (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))
% 16.70/16.88 (assume a7 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X)) N) Y))))
% 16.70/16.88 (assume a8 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X)) N) X))))
% 16.70/16.88 (assume a9 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg)))
% 16.70/16.88 (assume a10 (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList tptp.summin)) X_1))))
% 16.70/16.88 (assume a11 (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))))
% 16.70/16.88 (assume a12 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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))))
% 16.70/16.88 (assume a13 (tptp.pp (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) (tptp.aa_nat_nat (tptp.aa_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))))
% 16.70/16.88 (assume a14 (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.ma) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na))))
% 16.70/16.88 (assume a15 (=> (not (and (=> (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))))))) (=> (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma)) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma)))) (forall ((I 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.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.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) tptp.ma)) tptp.na) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) I)) (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.fequal_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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) tptp.ma)) tptp.na)))) (forall ((Y2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Y2) tptp.na) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Y2) tptp.na)))) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) tptp.ma)))))))))))
% 16.70/16.88 (assume a16 (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))))
% 16.70/16.88 (assume a17 (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.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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)))))
% 16.70/16.88 (assume a18 (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) X_1))))
% 16.70/16.88 (assume a19 (forall ((I2 tptp.nat)) (=> (and (not (= I2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)))) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) I2) (tptp.nth_VEBT_VEBT tptp.treeList I2)))))
% 16.70/16.88 (assume a20 (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))))))
% 16.70/16.88 (assume a21 (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.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) 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))) (tptp.pp (tptp.aa_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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) tptp.ma)))))
% 16.70/16.88 (assume a22 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.ma)))
% 16.70/16.88 (assume a23 (= (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)))
% 16.70/16.88 (assume a24 (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.size_s6755466524823107622T_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))))))
% 16.70/16.88 (assume a25 (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)))
% 16.70/16.88 (assume a26 (=> (and (=> (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))))))) (=> (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma)) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.ma))) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (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.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_12))))))))
% 16.70/16.88 (assume a27 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (tptp.size_s6755466524823107622T_VEBT tptp.treeList))))
% 16.70/16.88 (assume a28 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) tptp.na)))
% 16.70/16.88 (assume a29 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) 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 W)))))))
% 16.70/16.88 (assume a30 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B)))))
% 16.70/16.88 (assume a31 (forall ((I 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.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 I)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) I))))))
% 16.70/16.88 (assume a32 (= (tptp.size_s6755466524823107622T_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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)))
% 16.70/16.88 (assume a33 (=> (not (= tptp.mi tptp.ma)) (forall ((I 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.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) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na)))) (forall ((Y2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Y2) tptp.na) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Y2) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) tptp.ma))))))))))
% 16.70/16.88 (assume a34 (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))))))
% 16.70/16.88 (assume a35 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)))
% 16.70/16.88 (assume a36 (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 tptp.treeList))) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) tptp.na)) (forall ((Xa tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_delete X2 Xa)) tptp.na)))))))
% 16.70/16.88 (assume a37 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_delete T X)) Y)) (and (not (= X Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) Y)))))))
% 16.70/16.88 (assume a38 (forall ((Xs tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set Xs) X)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) Xs)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) X3))))))))
% 16.70/16.88 (assume a39 (forall ((Xs tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set Xs) X)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) Xs)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) X))))))))
% 16.70/16.88 (assume a40 (=> (= tptp.mi tptp.ma) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (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 X2) X_12))))))))
% 16.70/16.88 (assume a41 (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)))))))
% 16.70/16.88 (assume a42 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (N tptp.nat)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_complex_bool P X4)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) N)))))))
% 16.70/16.88 (assume a43 (forall ((Xs tptp.list_P6011104703257516679at_nat) (P tptp.fun_Pr7757163693017731481t_bool) (N tptp.nat)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) (tptp.set_Pr5648618587558075414at_nat Xs))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s5460976970255530739at_nat Xs))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.nth_Pr7617993195940197384at_nat Xs N)))))))
% 16.70/16.88 (assume a44 (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)))))))
% 16.70/16.88 (assume a45 (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)))))))
% 16.70/16.88 (assume a46 (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)))))))
% 16.70/16.88 (assume a47 (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)))))))
% 16.70/16.88 (assume a48 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (= M N))))
% 16.70/16.88 (assume a49 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.numera6690914467698888265omplex M) (tptp.numera6690914467698888265omplex N)) (= M N))))
% 16.70/16.88 (assume a50 (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))))
% 16.70/16.88 (assume a51 (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))))
% 16.70/16.88 (assume a52 (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))))
% 16.70/16.88 (assume a53 (forall ((X2 tptp.vEBT_VEBT)) (=> (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.vEBT_invar_vebt X2) tptp.na)))))
% 16.70/16.88 (assume a54 (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)))))
% 16.70/16.88 (assume a55 (forall ((A tptp.product_prod_nat_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.collec3392354462482085612at_nat P))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A)))))
% 16.70/16.88 (assume a56 (forall ((A tptp.complex) (P tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.collect_complex P))) (tptp.pp (tptp.aa_complex_bool P A)))))
% 16.70/16.88 (assume a57 (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)))))
% 16.70/16.88 (assume a58 (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)))))
% 16.70/16.88 (assume a59 (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)))))
% 16.70/16.88 (assume a60 (forall ((A2 tptp.set_int)) (= (tptp.collect_int (tptp.aTP_Lamm_a A2)) A2)))
% 16.70/16.88 (assume a61 (forall ((A2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.collec3392354462482085612at_nat (tptp.aTP_Lamm_aa A2)) A2)))
% 16.70/16.88 (assume a62 (forall ((A2 tptp.set_complex)) (= (tptp.collect_complex (tptp.aTP_Lamm_ab A2)) A2)))
% 16.70/16.88 (assume a63 (forall ((A2 tptp.set_real)) (= (tptp.collect_real (tptp.aTP_Lamm_ac A2)) A2)))
% 16.70/16.88 (assume a64 (forall ((A2 tptp.set_list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_ad A2)) A2)))
% 16.70/16.88 (assume a65 (forall ((A2 tptp.set_nat)) (= (tptp.collect_nat (tptp.aTP_Lamm_ae A2)) A2)))
% 16.70/16.88 (assume a66 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X4)))) (= (tptp.collec3392354462482085612at_nat P) (tptp.collec3392354462482085612at_nat Q)))))
% 16.70/16.88 (assume a67 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (forall ((X4 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool P X4)) (tptp.pp (tptp.aa_complex_bool Q X4)))) (= (tptp.collect_complex P) (tptp.collect_complex Q)))))
% 16.70/16.88 (assume a68 (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)))))
% 16.70/16.88 (assume a69 (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)))))
% 16.70/16.88 (assume a70 (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)))))
% 16.70/16.88 (assume a71 (forall ((X tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_delete tptp.summary X)) tptp.m))))
% 16.70/16.88 (assume a72 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.nth_VEBT_VEBT tptp.treeList tptp.summin)) tptp.na)))
% 16.70/16.88 (assume a73 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.ma) tptp.na))))
% 16.70/16.88 (assume a74 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 16.70/16.88 (assume a75 (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)))))
% 16.70/16.88 (assume a76 (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)))))
% 16.70/16.88 (assume a77 (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)))))
% 16.70/16.88 (assume a78 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 16.70/16.88 (assume a79 (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)))))
% 16.70/16.88 (assume a80 (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)))))
% 16.70/16.88 (assume a81 (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)))))
% 16.70/16.88 (assume a82 (forall ((V tptp.num) (W tptp.num) (Z tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat W)) Z)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Z))))
% 16.70/16.88 (assume a83 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Z))))
% 16.70/16.88 (assume a84 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Z))))
% 16.70/16.88 (assume a85 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Z))))
% 16.70/16.88 (assume a86 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Z))))
% 16.70/16.88 (assume a87 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.88 (assume a88 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.88 (assume a89 (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.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.88 (assume a90 (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.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.88 (assume a91 (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.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.88 (assume a92 (forall ((V tptp.num) (W tptp.num) (Z tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat W)) Z)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Z))))
% 16.70/16.88 (assume a93 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Z))))
% 16.70/16.88 (assume a94 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Z))))
% 16.70/16.88 (assume a95 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Z))))
% 16.70/16.88 (assume a96 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Z))))
% 16.70/16.88 (assume a97 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a98 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a99 (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.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a100 (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.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a101 (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.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a102 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 tptp.one)) N) (tptp.aa_num_num tptp.bit0 N))))
% 16.70/16.88 (assume a103 (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)))))
% 16.70/16.88 (assume a104 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (V tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat B) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V))))))
% 16.70/16.88 (assume a105 (forall ((A tptp.complex) (B tptp.complex) (V tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.numera6690914467698888265omplex V))))))
% 16.70/16.88 (assume a106 (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))))))
% 16.70/16.88 (assume a107 (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))))))
% 16.70/16.88 (assume a108 (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))))))
% 16.70/16.88 (assume a109 (forall ((V tptp.num) (B tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat B) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) B)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) C)))))
% 16.70/16.88 (assume a110 (forall ((V tptp.num) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) C)))))
% 16.70/16.88 (assume a111 (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)))))
% 16.70/16.88 (assume a112 (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)))))
% 16.70/16.88 (assume a113 (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)))))
% 16.70/16.88 (assume a114 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B)))))
% 16.70/16.88 (assume a115 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))))))
% 16.70/16.88 (assume a116 (forall ((Y 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 Y) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Y) tptp.na))) (=> (tptp.pp (tptp.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 Y) 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))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) tptp.ma)) (tptp.pp (tptp.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 Y) 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))))))))
% 16.70/16.88 (assume a117 (forall ((I 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.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) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na)))) (forall ((Y2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Y2) tptp.na) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Y2) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) Y2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y2) tptp.ma)))))))))
% 16.70/16.88 (assume a118 (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (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.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) tptp.na)))))
% 16.70/16.88 (assume a119 (forall ((I 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.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.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) I)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) I))))))
% 16.70/16.88 (assume a120 (forall ((A tptp.nat) (K tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num K) L))))))
% 16.70/16.88 (assume a121 (forall ((A tptp.int) (K tptp.num) (L tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int L)) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num K) L))))))
% 16.70/16.88 (assume a122 (forall ((A tptp.code_integer) (K tptp.num) (L tptp.num)) (= (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger K)) (tptp.numera6620942414471956472nteger L)) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num K) L))))))
% 16.70/16.88 (assume a123 (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))))
% 16.70/16.88 (assume a124 (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))))))
% 16.70/16.88 (assume a125 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))
% 16.70/16.88 (assume a126 (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)))))
% 16.70/16.88 (assume a127 (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)))))
% 16.70/16.88 (assume a128 (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))))
% 16.70/16.88 (assume a129 (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))))
% 16.70/16.88 (assume a130 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) Q2))))
% 16.70/16.88 (assume a131 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat tptp.one)) A)))
% 16.70/16.88 (assume a132 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 16.70/16.88 (assume a133 (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)))
% 16.70/16.88 (assume a134 (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)))
% 16.70/16.88 (assume a135 (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)))
% 16.70/16.88 (assume a136 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat tptp.one)) A) A)))
% 16.70/16.88 (assume a137 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex tptp.one)) A) A)))
% 16.70/16.88 (assume a138 (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)))
% 16.70/16.88 (assume a139 (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)))
% 16.70/16.88 (assume a140 (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)))
% 16.70/16.88 (assume a141 (forall ((N tptp.num)) (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.88 (assume a142 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 16.70/16.88 (assume a143 (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)))))
% 16.70/16.88 (assume a144 (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)))))
% 16.70/16.88 (assume a145 (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)))))
% 16.70/16.88 (assume a146 (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)))
% 16.70/16.88 (assume a147 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 16.70/16.88 (assume a148 (forall ((M tptp.nat) (I2 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 I2) 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)) I2)))))
% 16.70/16.88 (assume a149 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 16.70/16.88 (assume a150 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.70/16.88 (assume a151 (forall ((N tptp.num)) (= (tptp.divide6298287555418463151nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger N))))
% 16.70/16.88 (assume a152 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.70/16.88 (assume a153 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (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)) B))))
% 16.70/16.88 (assume a154 (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))))
% 16.70/16.88 (assume a155 (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))))
% 16.70/16.88 (assume a156 (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))))
% 16.70/16.88 (assume a157 (forall ((Z tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat Z) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat Z) Z))))
% 16.70/16.88 (assume a158 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 16.70/16.88 (assume a159 (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))))
% 16.70/16.88 (assume a160 (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))))
% 16.70/16.88 (assume a161 (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))))
% 16.70/16.88 (assume a162 (forall ((Z tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat Z) Z))))
% 16.70/16.88 (assume a163 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 16.70/16.88 (assume a164 (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))))
% 16.70/16.88 (assume a165 (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))))
% 16.70/16.88 (assume a166 (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))))
% 16.70/16.88 (assume a167 (forall ((N tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren N TreeList) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N))))))
% 16.70/16.88 (assume a168 (and (not (= tptp.mi tptp.ma)) (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)))))
% 16.70/16.88 (assume a169 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T Y)) X))))))))
% 16.70/16.88 (assume a170 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T X)) X))))))
% 16.70/16.88 (assume a171 (forall ((I2 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 I2) (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 I2 (tptp.nth_VEBT_VEBT Xs J)) J (tptp.nth_VEBT_VEBT Xs I2))) (tptp.set_VEBT_VEBT2 Xs))))))
% 16.70/16.88 (assume a172 (forall ((I2 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 I2) (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 I2 (tptp.aa_nat_bool (tptp.nth_bool Xs) J)) J (tptp.aa_nat_bool (tptp.nth_bool Xs) I2))) (tptp.set_bool2 Xs))))))
% 16.70/16.88 (assume a173 (forall ((I2 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 I2) (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 I2 (tptp.aa_nat_nat (tptp.nth_nat Xs) J)) J (tptp.aa_nat_nat (tptp.nth_nat Xs) I2))) (tptp.set_nat2 Xs))))))
% 16.70/16.88 (assume a174 (forall ((I2 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 I2) (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 I2 (tptp.aa_nat_int (tptp.nth_int Xs) J)) J (tptp.aa_nat_int (tptp.nth_int Xs) I2))) (tptp.set_int2 Xs))))))
% 16.70/16.88 (assume a175 (forall ((I2 tptp.nat) (Xs tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) I2) X))))
% 16.70/16.88 (assume a176 (forall ((I2 tptp.nat) (Xs tptp.list_bool) (X tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I2 X)) I2)) (tptp.pp X)))))
% 16.70/16.88 (assume a177 (forall ((I2 tptp.nat) (Xs tptp.list_nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I2 X)) I2) X))))
% 16.70/16.88 (assume a178 (forall ((I2 tptp.nat) (Xs tptp.list_int) (X tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I2 X)) I2) X))))
% 16.70/16.88 (assume a179 (forall ((Xs tptp.list_VEBT_VEBT) (I2 tptp.nat) (X 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)) I2)) (= (tptp.list_u1324408373059187874T_VEBT Xs I2 X) Xs))))
% 16.70/16.88 (assume a180 (forall ((Xs tptp.list_bool) (I2 tptp.nat) (X 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)) I2)) (= (tptp.list_update_bool Xs I2 X) Xs))))
% 16.70/16.88 (assume a181 (forall ((Xs tptp.list_nat) (I2 tptp.nat) (X 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)) I2)) (= (tptp.list_update_nat Xs I2 X) Xs))))
% 16.70/16.88 (assume a182 (forall ((Xs tptp.list_int) (I2 tptp.nat) (X 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)) I2)) (= (tptp.list_update_int Xs I2 X) Xs))))
% 16.70/16.88 (assume a183 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node Info Deg TreeList Summary)) X)))))))
% 16.70/16.88 (assume a184 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.88 (assume a185 (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.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))))))
% 16.70/16.88 (assume a186 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.88 (assume a187 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.88 (assume a188 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.88 (assume a189 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.88 (assume a190 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.88 (assume a191 (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.xa)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.xa) tptp.ma))))
% 16.70/16.88 (assume a192 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= Deg N))))
% 16.70/16.88 (assume a193 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.na)))
% 16.70/16.88 (assume a194 (= tptp.xa tptp.mi))
% 16.70/16.88 (assume a195 (forall ((Xs tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) I2 Y) (tptp.list_u1324408373059187874T_VEBT Xs I2 Y))))
% 16.70/16.88 (assume a196 (or (not (= tptp.xa tptp.mi)) (not (= tptp.xa tptp.ma))))
% 16.70/16.88 (assume a197 (forall ((N tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.one_on7984719198319812577d_enat) N) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.88 (assume a198 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) N) tptp.one_one_nat)))
% 16.70/16.88 (assume a199 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.one_one_real) N) tptp.one_one_real)))
% 16.70/16.88 (assume a200 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) N) tptp.one_one_int)))
% 16.70/16.88 (assume a201 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) N) tptp.one_one_complex)))
% 16.70/16.88 (assume a202 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) tptp.one_one_nat) A)))
% 16.70/16.88 (assume a203 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) tptp.one_one_nat) A)))
% 16.70/16.88 (assume a204 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.one_one_nat) A)))
% 16.70/16.88 (assume a205 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.one_one_nat) A)))
% 16.70/16.88 (assume a206 (forall ((Xs tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X)) (tptp.size_s6755466524823107622T_VEBT Xs))))
% 16.70/16.88 (assume a207 (forall ((Xs tptp.list_bool) (I2 tptp.nat) (X tptp.bool)) (= (tptp.size_size_list_bool (tptp.list_update_bool Xs I2 X)) (tptp.size_size_list_bool Xs))))
% 16.70/16.88 (assume a208 (forall ((Xs tptp.list_nat) (I2 tptp.nat) (X tptp.nat)) (= (tptp.size_size_list_nat (tptp.list_update_nat Xs I2 X)) (tptp.size_size_list_nat Xs))))
% 16.70/16.88 (assume a209 (forall ((Xs tptp.list_int) (I2 tptp.nat) (X tptp.int)) (= (tptp.size_size_list_int (tptp.list_update_int Xs I2 X)) (tptp.size_size_list_int Xs))))
% 16.70/16.88 (assume a210 (forall ((Xs tptp.list_nat) (I2 tptp.nat)) (= (tptp.list_update_nat Xs I2 (tptp.aa_nat_nat (tptp.nth_nat Xs) I2)) Xs)))
% 16.70/16.88 (assume a211 (forall ((Xs tptp.list_int) (I2 tptp.nat)) (= (tptp.list_update_int Xs I2 (tptp.aa_nat_int (tptp.nth_int Xs) I2)) Xs)))
% 16.70/16.88 (assume a212 (forall ((Xs tptp.list_VEBT_VEBT) (I2 tptp.nat)) (= (tptp.list_u1324408373059187874T_VEBT Xs I2 (tptp.nth_VEBT_VEBT Xs I2)) Xs)))
% 16.70/16.88 (assume a213 (forall ((I2 tptp.nat) (J tptp.nat) (Xs tptp.list_nat) (X tptp.nat)) (=> (not (= I2 J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I2 X)) J) (tptp.aa_nat_nat (tptp.nth_nat Xs) J)))))
% 16.70/16.88 (assume a214 (forall ((I2 tptp.nat) (J tptp.nat) (Xs tptp.list_int) (X tptp.int)) (=> (not (= I2 J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I2 X)) J) (tptp.aa_nat_int (tptp.nth_int Xs) J)))))
% 16.70/16.88 (assume a215 (forall ((I2 tptp.nat) (J tptp.nat) (Xs tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (not (= I2 J)) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) J) (tptp.nth_VEBT_VEBT Xs J)))))
% 16.70/16.88 (assume a216 (forall ((N tptp.num)) (= (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N) tptp.one_on7984719198319812577d_enat) (= N tptp.one))))
% 16.70/16.88 (assume a217 (forall ((N tptp.num)) (= (= (tptp.numera6690914467698888265omplex N) tptp.one_one_complex) (= N tptp.one))))
% 16.70/16.88 (assume a218 (forall ((N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real N) tptp.one_one_real) (= N tptp.one))))
% 16.70/16.88 (assume a219 (forall ((N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat N) tptp.one_one_nat) (= N tptp.one))))
% 16.70/16.88 (assume a220 (forall ((N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int N) tptp.one_one_int) (= N tptp.one))))
% 16.70/16.88 (assume a221 (forall ((N tptp.num)) (= (= tptp.one_on7984719198319812577d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (= tptp.one N))))
% 16.70/16.88 (assume a222 (forall ((N tptp.num)) (= (= tptp.one_one_complex (tptp.numera6690914467698888265omplex N)) (= tptp.one N))))
% 16.70/16.88 (assume a223 (forall ((N tptp.num)) (= (= tptp.one_one_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (= tptp.one N))))
% 16.70/16.88 (assume a224 (forall ((N tptp.num)) (= (= tptp.one_one_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= tptp.one N))))
% 16.70/16.88 (assume a225 (forall ((N tptp.num)) (= (= tptp.one_one_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (= tptp.one N))))
% 16.70/16.88 (assume a226 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (= M N)))))
% 16.70/16.88 (assume a227 (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)))))
% 16.70/16.88 (assume a228 (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)))))
% 16.70/16.88 (assume a229 (forall ((A tptp.nat) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.88 (assume a230 (forall ((A tptp.real) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.88 (assume a231 (forall ((A tptp.int) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.88 (assume a232 (forall ((A tptp.complex) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.88 (assume a233 (forall ((B tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 16.70/16.88 (assume a234 (forall ((B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) 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) X)) (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 X) Y))))))
% 16.70/16.88 (assume a235 (forall ((B tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) 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) X)) (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 X) Y))))))
% 16.70/16.88 (assume a236 (forall ((A tptp.complex) (M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.88 (assume a237 (forall ((A tptp.real) (M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.88 (assume a238 (forall ((A tptp.nat) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.88 (assume a239 (forall ((A tptp.int) (M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.88 (assume a240 (forall ((A tptp.complex) (M tptp.num) (N tptp.num) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))) B))))
% 16.70/16.88 (assume a241 (forall ((A tptp.real) (M tptp.num) (N tptp.num) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))) B))))
% 16.70/16.88 (assume a242 (forall ((A tptp.nat) (M tptp.num) (N tptp.num) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) 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.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))) B))))
% 16.70/16.88 (assume a243 (forall ((A tptp.int) (M tptp.num) (N tptp.num) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))) B))))
% 16.70/16.88 (assume a244 (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.88 (assume a245 (= (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))))
% 16.70/16.88 (assume a246 (= (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))))
% 16.70/16.88 (assume a247 (= (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))))
% 16.70/16.88 (assume a248 (= (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))))
% 16.70/16.88 (assume a249 (forall ((B tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) X)) (tptp.aa_nat_real (tptp.aa_real_fun_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 X) Y))))))
% 16.70/16.88 (assume a250 (forall ((B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) 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) X)) (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 X) Y))))))
% 16.70/16.88 (assume a251 (forall ((B tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) 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) X)) (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 X) Y))))))
% 16.70/16.88 (assume a252 (forall ((N tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a253 (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.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a254 (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.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a255 (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.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a256 (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.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a257 (forall ((N tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.88 (assume a258 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.88 (assume a259 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.88 (assume a260 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.88 (assume a261 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.88 (assume a262 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_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)))))
% 16.70/16.88 (assume a263 (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)))))
% 16.70/16.88 (assume a264 (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)))))
% 16.70/16.88 (assume a265 (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)))))
% 16.70/16.88 (assume a266 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 16.70/16.88 (assume a267 (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)))))
% 16.70/16.88 (assume a268 (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)))))
% 16.70/16.88 (assume a269 (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)))))
% 16.70/16.88 (assume a270 (forall ((Xs tptp.list_complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Xs)) B2)) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B2)))))))
% 16.70/16.88 (assume a271 (forall ((Xs tptp.list_P6011104703257516679at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat Xs)) B2)) (forall ((X3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) (tptp.set_Pr5648618587558075414at_nat Xs))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B2)))))))
% 16.70/16.88 (assume a272 (forall ((Xs tptp.list_VEBT_VEBT) (B2 tptp.set_VEBT_VEBT)) (= (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)))))))
% 16.70/16.88 (assume a273 (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)))))))
% 16.70/16.88 (assume a274 (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)))))))
% 16.70/16.88 (assume a275 (forall ((Xs tptp.list_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_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)))))))
% 16.70/16.88 (assume a276 (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_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real 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 (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.88 (assume a277 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one))))
% 16.70/16.88 (assume a278 (forall ((X tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) tptp.one)) (= X tptp.one))))
% 16.70/16.88 (assume a279 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.88 (assume a280 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.one_one_real)))
% 16.70/16.88 (assume a281 (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)))
% 16.70/16.88 (assume a282 (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)))
% 16.70/16.88 (assume a283 (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.88 (assume a284 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.one_one_real))))
% 16.70/16.88 (assume a285 (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))))
% 16.70/16.88 (assume a286 (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))))
% 16.70/16.88 (assume a287 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.88 (assume a288 (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))))))
% 16.70/16.88 (assume a289 (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))))))
% 16.70/16.88 (assume a290 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (N tptp.nat)) (=> (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat X) Y) tptp.one_on7984719198319812577d_enat) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat X) N)) (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat Y) N)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.88 (assume a291 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) tptp.one_one_complex) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)) tptp.one_one_complex))))
% 16.70/16.88 (assume a292 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) tptp.one_one_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N)) tptp.one_one_real))))
% 16.70/16.88 (assume a293 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) tptp.one_one_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N)) tptp.one_one_nat))))
% 16.70/16.88 (assume a294 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y) tptp.one_one_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N)) tptp.one_one_int))))
% 16.70/16.88 (assume a295 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.88 (assume a296 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.88 (assume a297 (forall ((Xs tptp.list_complex) (A2 tptp.set_complex) (X tptp.complex) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 (tptp.list_update_complex Xs I2 X))) A2))))))
% 16.70/16.88 (assume a298 (forall ((Xs tptp.list_P6011104703257516679at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat Xs)) A2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat (tptp.list_u6180841689913720943at_nat Xs I2 X))) A2))))))
% 16.70/16.88 (assume a299 (forall ((Xs tptp.list_int) (A2 tptp.set_int) (X tptp.int) (I2 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 X) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I2 X))) A2))))))
% 16.70/16.88 (assume a300 (forall ((Xs tptp.list_VEBT_VEBT) (A2 tptp.set_VEBT_VEBT) (X tptp.vEBT_VEBT) (I2 tptp.nat)) (=> (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs) A2) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) A2)) (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I2 X)) A2)))))
% 16.70/16.88 (assume a301 (forall ((Xs tptp.list_real) (A2 tptp.set_real) (X tptp.real) (I2 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 X) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 (tptp.list_update_real Xs I2 X))) A2))))))
% 16.70/16.88 (assume a302 (forall ((Xs tptp.list_nat) (A2 tptp.set_nat) (X tptp.nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I2 X))) A2))))))
% 16.70/16.88 (assume a303 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.88 (assume a304 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.88 (assume a305 (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)))))))
% 16.70/16.88 (assume a306 (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)))))))
% 16.70/16.88 (assume a307 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.88 (assume a308 (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)))))))
% 16.70/16.88 (assume a309 (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)))))))
% 16.70/16.88 (assume a310 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 16.70/16.88 (assume a311 (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))))))
% 16.70/16.88 (assume a312 (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))))))
% 16.70/16.88 (assume a313 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)))))))
% 16.70/16.88 (assume a314 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)))))))
% 16.70/16.88 (assume a315 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N2)))))))
% 16.70/16.88 (assume a316 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)))))))
% 16.70/16.88 (assume a317 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)))))))
% 16.70/16.88 (assume a318 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N2)))))))
% 16.70/16.88 (assume a319 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.88 (assume a320 (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)))))
% 16.70/16.88 (assume a321 (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)))))
% 16.70/16.88 (assume a322 (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)))))
% 16.70/16.88 (assume a323 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.88 (assume a324 (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)))))
% 16.70/16.88 (assume a325 (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)))))
% 16.70/16.88 (assume a326 (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)))))
% 16.70/16.88 (assume a327 (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat tptp.one) tptp.one_on7984719198319812577d_enat))
% 16.70/16.88 (assume a328 (= (tptp.numera6690914467698888265omplex tptp.one) tptp.one_one_complex))
% 16.70/16.88 (assume a329 (= (tptp.aa_num_real tptp.numeral_numeral_real tptp.one) tptp.one_one_real))
% 16.70/16.88 (assume a330 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 16.70/16.88 (assume a331 (= (tptp.aa_num_int tptp.numeral_numeral_int tptp.one) tptp.one_one_int))
% 16.70/16.88 (assume a332 (forall ((X tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.88 (assume a333 (forall ((X tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 16.70/16.88 (assume a334 (forall ((X tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 16.70/16.88 (assume a335 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 16.70/16.88 (assume a336 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 16.70/16.88 (assume a337 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 16.70/16.88 (assume a338 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 16.70/16.88 (assume a339 (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))))))
% 16.70/16.88 (assume a340 (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))))))
% 16.70/16.88 (assume a341 (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_on7984719198319812577d_enat))
% 16.70/16.88 (assume a342 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.70/16.88 (assume a343 (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.one_one_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real))
% 16.70/16.88 (assume a344 (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.70/16.88 (assume a345 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex))
% 16.70/16.88 (assume a346 (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)))))
% 16.70/16.88 (assume a347 (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)))))
% 16.70/16.88 (assume a348 (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)))))
% 16.70/16.88 (assume a349 (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)))))
% 16.70/16.88 (assume a350 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT Xs2) N))))
% 16.70/16.88 (assume a351 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_bool)) (= (tptp.size_size_list_bool Xs2) N))))
% 16.70/16.88 (assume a352 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_nat)) (= (tptp.size_size_list_nat Xs2) N))))
% 16.70/16.88 (assume a353 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_int)) (= (tptp.size_size_list_int Xs2) N))))
% 16.70/16.88 (assume a354 (forall ((I2 tptp.nat) (I3 tptp.nat) (Xs tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT) (X5 tptp.vEBT_VEBT)) (=> (not (= I2 I3)) (= (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) I3 X5) (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I3 X5) I2 X)))))
% 16.70/16.88 (assume a355 (= (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))))
% 16.70/16.88 (assume a356 (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 ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N3)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) tptp.one_one_nat))))))))))
% 16.70/16.88 (assume a357 (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 ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N3)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) tptp.one_one_nat))))))))))
% 16.70/16.88 (assume a358 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.88 (assume a359 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.88 (assume a360 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.70/16.88 (assume a361 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.88 (assume a362 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B) N)))))
% 16.70/16.88 (assume a363 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)))))
% 16.70/16.88 (assume a364 (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.times_times_nat A) B)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)))))
% 16.70/16.88 (assume a365 (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.times_times_int A) B)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N)))))
% 16.70/16.88 (assume a366 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_nat_complex (tptp.power_power_complex X) N))))))
% 16.70/16.88 (assume a367 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))
% 16.70/16.88 (assume a368 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))))))
% 16.70/16.88 (assume a369 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) N)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int (tptp.power_power_int X) N))))))
% 16.70/16.88 (assume a370 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)))))
% 16.70/16.88 (assume a371 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B) N)))))
% 16.70/16.88 (assume a372 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) N))))
% 16.70/16.88 (assume a373 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) N))))
% 16.70/16.88 (assume a374 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) M)) N))))
% 16.70/16.88 (assume a375 (forall ((A tptp.complex) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) N))))
% 16.70/16.88 (assume a376 (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)))))
% 16.70/16.88 (assume a377 (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)))))
% 16.70/16.88 (assume a378 (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)))))
% 16.70/16.88 (assume a379 (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)))))
% 16.70/16.88 (assume a380 (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)))))
% 16.70/16.88 (assume a381 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.88 (assume a382 (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)))))
% 16.70/16.88 (assume a383 (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)))))
% 16.70/16.88 (assume a384 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I4) (tptp.nth_VEBT_VEBT Ys I4)))) (= Xs Ys)))))
% 16.70/16.88 (assume a385 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I4)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys) I4))))) (= Xs Ys)))))
% 16.70/16.88 (assume a386 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (=> (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I4) (tptp.aa_nat_nat (tptp.nth_nat Ys) I4)))) (= Xs Ys)))))
% 16.70/16.88 (assume a387 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (=> (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I4) (tptp.aa_nat_int (tptp.nth_int Ys) I4)))) (= Xs Ys)))))
% 16.70/16.88 (assume a388 (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))))))))))
% 16.70/16.88 (assume a389 (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))))))))))
% 16.70/16.88 (assume a390 (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))))))))))
% 16.70/16.88 (assume a391 (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))))))))))
% 16.70/16.88 (assume a392 (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))))))))
% 16.70/16.88 (assume a393 (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)))))))))
% 16.70/16.88 (assume a394 (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))))))))
% 16.70/16.88 (assume a395 (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))))))))
% 16.70/16.88 (assume a396 (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))))))
% 16.70/16.88 (assume a397 (forall ((N tptp.nat) (Xs tptp.list_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_nat_complex (tptp.nth_complex Xs) N)) (tptp.set_complex2 Xs))))))
% 16.70/16.88 (assume a398 (forall ((N tptp.nat) (Xs tptp.list_P6011104703257516679at_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s5460976970255530739at_nat Xs))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.nth_Pr7617993195940197384at_nat Xs N)) (tptp.set_Pr5648618587558075414at_nat Xs))))))
% 16.70/16.88 (assume a399 (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))))))
% 16.70/16.88 (assume a400 (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)))))
% 16.70/16.88 (assume a401 (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))))))
% 16.70/16.88 (assume a402 (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))))))
% 16.70/16.88 (assume a403 (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)))))))
% 16.70/16.88 (assume a404 (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)))))))
% 16.70/16.88 (assume a405 (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)))))))
% 16.70/16.88 (assume a406 (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)))))))
% 16.70/16.88 (assume a407 (forall ((X tptp.real) (Xs tptp.list_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (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) X))))))
% 16.70/16.88 (assume a408 (forall ((X tptp.complex) (Xs tptp.list_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.set_complex2 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_s3451745648224563538omplex Xs))) (= (tptp.aa_nat_complex (tptp.nth_complex Xs) I5) X))))))
% 16.70/16.88 (assume a409 (forall ((X tptp.product_prod_nat_nat) (Xs tptp.list_P6011104703257516679at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.set_Pr5648618587558075414at_nat 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_s5460976970255530739at_nat Xs))) (= (tptp.nth_Pr7617993195940197384at_nat Xs I5) X))))))
% 16.70/16.88 (assume a410 (forall ((X tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (exists ((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) X))))))
% 16.70/16.88 (assume a411 (forall ((X tptp.bool) (Xs tptp.list_bool)) (= (tptp.member_bool X (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 X)))))))
% 16.70/16.88 (assume a412 (forall ((X tptp.nat) (Xs tptp.list_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (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) X))))))
% 16.70/16.88 (assume a413 (forall ((X tptp.int) (Xs tptp.list_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (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) X))))))
% 16.70/16.88 (assume a414 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (X tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_real_bool P (tptp.aa_nat_real (tptp.nth_real Xs) I4))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_real_bool P X))))))
% 16.70/16.88 (assume a415 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (X tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) I4))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_complex_bool P X))))))
% 16.70/16.88 (assume a416 (forall ((Xs tptp.list_P6011104703257516679at_nat) (P tptp.fun_Pr7757163693017731481t_bool) (X tptp.product_prod_nat_nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s5460976970255530739at_nat Xs))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.nth_Pr7617993195940197384at_nat Xs I4))))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.set_Pr5648618587558075414at_nat Xs))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X))))))
% 16.70/16.88 (assume a417 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (X tptp.vEBT_VEBT)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I4))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X))))))
% 16.70/16.88 (assume a418 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (X tptp.bool)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I4))))) (=> (tptp.member_bool X (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X))))))
% 16.70/16.88 (assume a419 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (X tptp.nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I4))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X))))))
% 16.70/16.88 (assume a420 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (X tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I4))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X))))))
% 16.70/16.88 (assume a421 (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))))))))
% 16.70/16.88 (assume a422 (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))))))))
% 16.70/16.88 (assume a423 (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))))))))
% 16.70/16.88 (assume a424 (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))))))))
% 16.70/16.88 (assume a425 (forall ((N tptp.nat) (Xs tptp.list_real) (X 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 X) (tptp.set_real2 (tptp.list_update_real Xs N X)))))))
% 16.70/16.88 (assume a426 (forall ((N tptp.nat) (Xs tptp.list_complex) (X tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.set_complex2 (tptp.list_update_complex Xs N X)))))))
% 16.70/16.88 (assume a427 (forall ((N tptp.nat) (Xs tptp.list_P6011104703257516679at_nat) (X tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s5460976970255530739at_nat Xs))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.set_Pr5648618587558075414at_nat (tptp.list_u6180841689913720943at_nat Xs N X)))))))
% 16.70/16.88 (assume a428 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (X 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 X) (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs N X)))))))
% 16.70/16.88 (assume a429 (forall ((N tptp.nat) (Xs tptp.list_bool) (X 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 X (tptp.set_bool2 (tptp.list_update_bool Xs N X))))))
% 16.70/16.88 (assume a430 (forall ((N tptp.nat) (Xs tptp.list_nat) (X 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 X) (tptp.set_nat2 (tptp.list_update_nat Xs N X)))))))
% 16.70/16.88 (assume a431 (forall ((N tptp.nat) (Xs tptp.list_int) (X 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 X) (tptp.set_int2 (tptp.list_update_int Xs N X)))))))
% 16.70/16.88 (assume a432 (forall ((I2 tptp.nat) (Xs tptp.list_VEBT_VEBT) (J tptp.nat) (X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (and (=> (= I2 J) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) J) X)) (=> (not (= I2 J)) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I2 X) J) (tptp.nth_VEBT_VEBT Xs J)))))))
% 16.70/16.88 (assume a433 (forall ((I2 tptp.nat) (Xs tptp.list_bool) (X tptp.bool) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I2 X)) J)) (and (=> (= I2 J) (tptp.pp X)) (=> (not (= I2 J)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) J))))))))
% 16.70/16.88 (assume a434 (forall ((I2 tptp.nat) (Xs tptp.list_nat) (J tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (and (=> (= I2 J) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I2 X)) J) X)) (=> (not (= I2 J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I2 X)) J) (tptp.aa_nat_nat (tptp.nth_nat Xs) J)))))))
% 16.70/16.88 (assume a435 (forall ((I2 tptp.nat) (Xs tptp.list_int) (J tptp.nat) (X tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (and (=> (= I2 J) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I2 X)) J) X)) (=> (not (= I2 J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I2 X)) J) (tptp.aa_nat_int (tptp.nth_int Xs) J)))))))
% 16.70/16.88 (assume a436 (forall ((I2 tptp.nat) (Xs tptp.list_VEBT_VEBT) (X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (= (tptp.list_u1324408373059187874T_VEBT Xs I2 X) Xs) (= (tptp.nth_VEBT_VEBT Xs I2) X)))))
% 16.70/16.88 (assume a437 (forall ((I2 tptp.nat) (Xs tptp.list_bool) (X tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (= (= (tptp.list_update_bool Xs I2 X) Xs) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I2)) (tptp.pp X))))))
% 16.70/16.88 (assume a438 (forall ((I2 tptp.nat) (Xs tptp.list_nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (= (= (tptp.list_update_nat Xs I2 X) Xs) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I2) X)))))
% 16.70/16.88 (assume a439 (forall ((I2 tptp.nat) (Xs tptp.list_int) (X tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (= (= (tptp.list_update_int Xs I2 X) Xs) (= (tptp.aa_nat_int (tptp.nth_int Xs) I2) X)))))
% 16.70/16.88 (assume a440 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex X) X)) X)) X))))
% 16.70/16.88 (assume a441 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) X)) X))))
% 16.70/16.88 (assume a442 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) X)) X)) X))))
% 16.70/16.88 (assume a443 (forall ((X tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) X)) X))))
% 16.70/16.88 (assume a444 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex A) A))))
% 16.70/16.88 (assume a445 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A))))
% 16.70/16.88 (assume a446 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A))))
% 16.70/16.88 (assume a447 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A))))
% 16.70/16.88 (assume a448 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.88 (assume a449 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.88 (assume a450 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.88 (assume a451 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.88 (assume a452 (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)))))
% 16.70/16.88 (assume a453 (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))))))
% 16.70/16.88 (assume a454 (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)))))
% 16.70/16.88 (assume a455 (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)))))
% 16.70/16.88 (assume a456 (and (=> (= tptp.xa tptp.mi) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint tptp.summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_mint tptp.summary)))))))) (=> (not (= tptp.xa tptp.mi)) (= (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx) tptp.xa))))
% 16.70/16.88 (assume a457 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) tptp.one)))))
% 16.70/16.88 (assume a458 (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)))))
% 16.70/16.88 (assume a459 (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 16.70/16.88 (assume a460 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_vebt_insert T X)) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (= X Y))))))))
% 16.70/16.88 (assume a461 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member tptp.summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.ma) tptp.na))))
% 16.70/16.88 (assume a462 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList tptp.summin)) tptp.lx)))
% 16.70/16.88 (assume a463 (forall ((Tree tptp.vEBT_VEBT) (X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.70/16.88 (assume a464 (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.xa) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) 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.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) tptp.summary)))
% 16.70/16.88 (assume a465 (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))))))
% 16.70/16.88 (assume a466 (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))))))
% 16.70/16.88 (assume a467 (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))))))
% 16.70/16.88 (assume a468 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.88 (assume a469 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num tptp.one) N))))
% 16.70/16.88 (assume a470 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 16.70/16.88 (assume a471 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 16.70/16.88 (assume a472 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 16.70/16.88 (assume a473 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (= M N))))
% 16.70/16.88 (assume a474 (forall ((R tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) R)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) R))))
% 16.70/16.88 (assume a475 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (= Mi Ma) (and (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_12)))))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_12)))))))))
% 16.70/16.88 (assume a476 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 N)))))
% 16.70/16.88 (assume a477 (forall ((M tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M) tptp.one))))
% 16.70/16.88 (assume a478 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 16.70/16.88 (assume a479 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.one_one_int) A)))
% 16.70/16.88 (assume a480 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A tptp.one_one_Code_integer) A)))
% 16.70/16.88 (assume a481 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (= X Mi) (= X Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))
% 16.70/16.88 (assume a482 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.vEBT_set_vebt T)))))))
% 16.70/16.88 (assume a483 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.88 (assume a484 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.88 (assume a485 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) tptp.one) M)))
% 16.70/16.88 (assume a486 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num tptp.one) N) N)))
% 16.70/16.88 (assume a487 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))
% 16.70/16.88 (assume a488 (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)))))
% 16.70/16.88 (assume a489 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 16.70/16.88 (assume a490 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) tptp.one)))))
% 16.70/16.88 (assume a491 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)))))))
% 16.70/16.88 (assume a492 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (not (= Mi Ma)) (= (tptp.the_nat (tptp.vEBT_vebt_maxt Summary)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.88 (assume a493 (forall ((Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= X Mi) (= X Ma))))))
% 16.70/16.88 (assume a494 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary)) tptp.deg)))
% 16.70/16.88 (assume a495 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (or (= X Mi) (= X Ma) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.70/16.88 (assume a496 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)))))))
% 16.70/16.88 (assume a497 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary)))))))))))))
% 16.70/16.88 (assume a498 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (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)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (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)))) 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.vEBT_VEBT_high Xn) (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))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary))))))))))))))
% 16.70/16.88 (assume a499 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary)) (tptp.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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx))))
% 16.70/16.88 (assume a500 (= (tptp.some_nat tptp.summin) (tptp.vEBT_vebt_mint tptp.summary)))
% 16.70/16.88 (assume a501 (= (tptp.some_nat tptp.lx) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList tptp.summin))))
% 16.70/16.88 (assume a502 (forall ((S tptp.set_real)) (=> (exists ((X2 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) S))) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Z2))))) (exists ((Y3 tptp.real)) (and (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Y3)))) (forall ((Z2 tptp.real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Z2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y3) Z2))))))))))
% 16.70/16.88 (assume a503 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N3)))))))
% 16.70/16.88 (assume a504 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 16.70/16.88 (assume a505 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.88 (assume a506 (forall ((I2 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 I2) 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 I2) J)) U)) K))))
% 16.70/16.88 (assume a507 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))
% 16.70/16.88 (assume a508 (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.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (forall ((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))) M))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I4))))) (=> (=> (= 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 ((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))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) (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) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) (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.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 16.70/16.88 (assume a509 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (Va tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) Mi))) (=> (not (= Ma Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))
% 16.70/16.88 (assume a510 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 16.70/16.88 (assume a511 (forall ((Mi tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Mi) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 16.70/16.88 (assume a512 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X Mi) (= X Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary))))))
% 16.70/16.88 (assume a513 (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)))))
% 16.70/16.88 (assume a514 (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)))))
% 16.70/16.88 (assume a515 (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)))))
% 16.70/16.88 (assume a516 (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)))))
% 16.70/16.88 (assume a517 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat 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))))))
% 16.70/16.88 (assume a518 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat M)) (tptp.aa_num_Extended_enat 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))))))
% 16.70/16.88 (assume a519 (forall ((X tptp.nat)) (=> (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) N3)))) (not (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_nat_nat tptp.suc N3)))))))))
% 16.70/16.88 (assume a520 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (exists ((Info2 tptp.option4927543243414619207at_nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (= Tree (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)) TreeList2 S2))))))
% 16.70/16.88 (assume a521 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)))))
% 16.70/16.88 (assume a522 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_power (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.70/16.88 (assume a523 (not (forall ((Summin tptp.nat)) (not (= (tptp.some_nat Summin) (tptp.vEBT_vebt_mint tptp.summary))))))
% 16.70/16.88 (assume a524 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 16.70/16.88 (assume a525 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 16.70/16.88 (assume a526 (= (tptp.aa_nat_nat tptp.suc tptp.na) tptp.m))
% 16.70/16.88 (assume a527 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc Nat) (tptp.aa_nat_nat tptp.suc Nat2)) (= Nat Nat2))))
% 16.70/16.88 (assume a528 (forall ((X22 tptp.nat) (Y22 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc X22) (tptp.aa_nat_nat tptp.suc Y22)) (= X22 Y22))))
% 16.70/16.88 (assume a529 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT) (Y11 tptp.option4927543243414619207at_nat) (Y12 tptp.nat) (Y13 tptp.list_VEBT_VEBT) (Y14 tptp.vEBT_VEBT)) (= (= (tptp.vEBT_Node X11 X12 X13 X14) (tptp.vEBT_Node Y11 Y12 Y13 Y14)) (and (= X11 Y11) (= X12 Y12) (= X13 Y13) (= X14 Y14)))))
% 16.70/16.88 (assume a530 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Mini tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Mini)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mini) X)))))))
% 16.70/16.88 (assume a531 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Maxi)))))))
% 16.70/16.88 (assume a532 (not (forall ((Lx tptp.nat)) (not (= (tptp.some_nat Lx) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList tptp.summin)))))))
% 16.70/16.88 (assume a533 (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)))))
% 16.70/16.88 (assume a534 (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))))))
% 16.70/16.88 (assume a535 (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)))))
% 16.70/16.88 (assume a536 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.some_nat M) (tptp.vEBT_vebt_mint T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.70/16.88 (assume a537 (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)))))
% 16.70/16.88 (assume a538 (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)))))
% 16.70/16.88 (assume a539 (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)))))
% 16.70/16.88 (assume a540 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_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.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.numera6620942414471956472nteger V)) (tptp.numera6620942414471956472nteger U))))))
% 16.70/16.88 (assume a541 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat U)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V))) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat U)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V))) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat U)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)))) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat U)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat V)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat U))))))
% 16.70/16.88 (assume a542 (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))))))
% 16.70/16.88 (assume a543 (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))))))
% 16.70/16.88 (assume a544 (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))))))
% 16.70/16.88 (assume a545 (forall ((X tptp.num)) (= (tptp.ord_max_Code_integer tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger X)) (tptp.numera6620942414471956472nteger X))))
% 16.70/16.88 (assume a546 (forall ((X tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X))))
% 16.70/16.88 (assume a547 (forall ((X 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 X)) (tptp.aa_num_real tptp.numeral_numeral_real X))))
% 16.70/16.88 (assume a548 (forall ((X 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 X)) (tptp.aa_num_nat tptp.numeral_numeral_nat X))))
% 16.70/16.88 (assume a549 (forall ((X 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 X)) (tptp.aa_num_int tptp.numeral_numeral_int X))))
% 16.70/16.88 (assume a550 (forall ((X tptp.num)) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger X) tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger X))))
% 16.70/16.88 (assume a551 (forall ((X tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X))))
% 16.70/16.88 (assume a552 (forall ((X tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X))))
% 16.70/16.88 (assume a553 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X))))
% 16.70/16.88 (assume a554 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X))))
% 16.70/16.88 (assume a555 (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)))))
% 16.70/16.88 (assume a556 (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.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.88 (assume a557 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_lesseq (tptp.some_nat X)) (tptp.some_nat Y))))))
% 16.70/16.88 (assume a558 (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)))))
% 16.70/16.88 (assume a559 (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)))))
% 16.70/16.88 (assume a560 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.88 (assume a561 (= (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))))
% 16.70/16.88 (assume a562 (forall ((N tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc N)))))
% 16.70/16.88 (assume a563 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat tptp.suc Y)) (= X Y))))
% 16.70/16.88 (assume a564 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (N tptp.extended_enat)) (=> (forall ((N3 tptp.extended_enat)) (=> (forall ((M2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat M2) N3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P M2)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N3)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N)))))
% 16.70/16.88 (assume a565 (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)))))
% 16.70/16.88 (assume a566 (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)))))
% 16.70/16.88 (assume a567 (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)))))
% 16.70/16.88 (assume a568 (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)))))
% 16.70/16.88 (assume a569 (forall ((I2 tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (=> (not (= K (tptp.aa_nat_nat tptp.suc I2))) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J2)) (not (= K (tptp.aa_nat_nat tptp.suc J2))))))))))
% 16.70/16.88 (assume a570 (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)))))
% 16.70/16.88 (assume a571 (forall ((I2 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 I2)) K)) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J2)) (not (= K (tptp.aa_nat_nat tptp.suc J2)))))))))
% 16.70/16.88 (assume a572 (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))))))
% 16.70/16.88 (assume a573 (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)))))
% 16.70/16.88 (assume a574 (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))))))
% 16.70/16.88 (assume a575 (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))))))))
% 16.70/16.88 (assume a576 (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)))))
% 16.70/16.88 (assume a577 (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))))))
% 16.70/16.88 (assume a578 (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))))))))
% 16.70/16.88 (assume a579 (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 ((M3 tptp.nat)) (and (= M (tptp.aa_nat_nat tptp.suc M3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M3)))))))
% 16.70/16.88 (assume a580 (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)))))
% 16.70/16.88 (assume a581 (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)))))
% 16.70/16.88 (assume a582 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) 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 I2)) K))))))
% 16.70/16.88 (assume a583 (forall ((I2 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 I2) J)) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I4) (tptp.aa_nat_nat tptp.suc I4)))) (=> (forall ((I4 tptp.nat) (J2 tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I4) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P J2) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I4) K2))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I2) J)))))))
% 16.70/16.88 (assume a584 (forall ((I2 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 I2) J)) (=> (forall ((I4 tptp.nat)) (=> (= J (tptp.aa_nat_nat tptp.suc I4)) (tptp.pp (tptp.aa_nat_bool P I4)))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I4))) (tptp.pp (tptp.aa_nat_bool P I4))))) (tptp.pp (tptp.aa_nat_bool P I2)))))))
% 16.70/16.88 (assume a585 (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)))))
% 16.70/16.88 (assume a586 (forall ((M tptp.nat) (N tptp.nat) (R2 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 R2 X4) X4))) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat) (Z3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X4) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 Y3) Z3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X4) Z3))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 N3) (tptp.aa_nat_nat tptp.suc N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 M) N))))))))
% 16.70/16.88 (assume a587 (forall ((M tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.pp (tptp.aa_nat_bool P M)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N3)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.70/16.88 (assume a588 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 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)) N3)) (tptp.pp (tptp.aa_nat_bool P M2)))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.70/16.88 (assume a589 (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)))))
% 16.70/16.88 (assume a590 (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)))))
% 16.70/16.88 (assume a591 (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))))))
% 16.70/16.88 (assume a592 (forall ((N tptp.nat) (M4 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)) M4)) (exists ((M5 tptp.nat)) (= M4 (tptp.aa_nat_nat tptp.suc M5))))))
% 16.70/16.88 (assume a593 (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))))))
% 16.70/16.88 (assume a594 (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))))))
% 16.70/16.88 (assume a595 (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)))))
% 16.70/16.88 (assume a596 (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))))))
% 16.70/16.88 (assume a597 (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)))))
% 16.70/16.88 (assume a598 (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)))))
% 16.70/16.88 (assume a599 (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))))
% 16.70/16.88 (assume a600 (forall ((F tptp.fun_na8797796813480665199d_enat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F N3)) (tptp.aa_nat_Extended_enat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F N)) (tptp.aa_nat_Extended_enat F N4)))))))
% 16.70/16.88 (assume a601 (forall ((F tptp.fun_nat_real) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F N4)))))))
% 16.70/16.88 (assume a602 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N4)))))))
% 16.70/16.88 (assume a603 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N4)))))))
% 16.70/16.88 (assume a604 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N4)))))))
% 16.70/16.88 (assume a605 (forall ((F tptp.fun_na8797796813480665199d_enat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F N3)) (tptp.aa_nat_Extended_enat F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F N)) (tptp.aa_nat_Extended_enat F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 16.70/16.88 (assume a606 (forall ((F tptp.fun_nat_real) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 16.70/16.88 (assume a607 (forall ((F tptp.fun_nat_num) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 16.70/16.88 (assume a608 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 16.70/16.88 (assume a609 (forall ((F tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 16.70/16.88 (assume a610 (forall ((F tptp.fun_nat_set_real) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_set_real F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real F N4)) (tptp.aa_nat_set_real F N)))))))
% 16.70/16.88 (assume a611 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_set_nat F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N4)) (tptp.aa_nat_set_nat F N)))))))
% 16.70/16.88 (assume a612 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_num F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N4)) (tptp.aa_nat_num F N)))))))
% 16.70/16.88 (assume a613 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_nat F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N4)) (tptp.aa_nat_nat F N)))))))
% 16.70/16.88 (assume a614 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_int F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N4)) (tptp.aa_nat_int F N)))))))
% 16.70/16.88 (assume a615 (forall ((F tptp.fun_nat_set_real) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real F N3)) (tptp.aa_nat_set_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real F N)) (tptp.aa_nat_set_real F N4)))))))
% 16.70/16.88 (assume a616 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N3)) (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N)) (tptp.aa_nat_set_nat F N4)))))))
% 16.70/16.88 (assume a617 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N4)))))))
% 16.70/16.88 (assume a618 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N4)))))))
% 16.70/16.88 (assume a619 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N4)))))))
% 16.70/16.88 (assume a620 (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)))))
% 16.70/16.88 (assume a621 (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)))))
% 16.70/16.88 (assume a622 (forall ((I2 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 I2) J)) (=> (tptp.pp (tptp.aa_nat_bool P I2)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) J)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))))))) (tptp.pp (tptp.aa_nat_bool P J)))))))
% 16.70/16.88 (assume a623 (forall ((I2 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 I2) J)) (=> (tptp.pp (tptp.aa_nat_bool P J)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))))) (tptp.pp (tptp.aa_nat_bool P I2)))))))
% 16.70/16.88 (assume a624 (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)))))
% 16.70/16.88 (assume a625 (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)))))
% 16.70/16.88 (assume a626 (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)))))
% 16.70/16.88 (assume a627 (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)))))
% 16.70/16.88 (assume a628 (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))))))
% 16.70/16.88 (assume a629 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (not (forall ((Q3 tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) Q3)))))))))
% 16.70/16.88 (assume a630 (forall ((I2 tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) M))))))
% 16.70/16.88 (assume a631 (forall ((I2 tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) I2))))))
% 16.70/16.88 (assume a632 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (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)))))))
% 16.70/16.88 (assume a633 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (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)))))))
% 16.70/16.88 (assume a634 (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)))))
% 16.70/16.88 (assume a635 (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)))))
% 16.70/16.88 (assume a636 (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)))))
% 16.70/16.88 (assume a637 (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))))
% 16.70/16.88 (assume a638 (= (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.suc))
% 16.70/16.88 (assume a639 (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))))
% 16.70/16.88 (assume a640 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.88 (assume a641 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.88 (assume a642 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.70/16.88 (assume a643 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.88 (assume a644 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A))))
% 16.70/16.88 (assume a645 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) A))))
% 16.70/16.88 (assume a646 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A))))
% 16.70/16.88 (assume a647 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A))))
% 16.70/16.88 (assume a648 (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)))))
% 16.70/16.88 (assume a649 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.88 (assume a650 (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)))))))
% 16.70/16.88 (assume a651 (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)))))))
% 16.70/16.88 (assume a652 (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))))))
% 16.70/16.88 (assume a653 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 16.70/16.88 (assume a654 (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)))))
% 16.70/16.88 (assume a655 (forall ((S3 tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat S3) T)) (not (= S3 T)))))
% 16.70/16.88 (assume a656 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 16.70/16.88 (assume a657 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N3)) (tptp.pp (tptp.aa_nat_bool P M2)))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.70/16.88 (assume a658 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool P N3))) (exists ((M2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N3)) (not (tptp.pp (tptp.aa_nat_bool P M2))))))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.70/16.88 (assume a659 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.88 (assume a660 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P X4)) (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) X4))))))))))
% 16.70/16.88 (assume a661 (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)))))
% 16.70/16.88 (assume a662 (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)))))
% 16.70/16.88 (assume a663 (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)))))
% 16.70/16.88 (assume a664 (forall ((I2 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 I2) 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 I2) K))))))
% 16.70/16.88 (assume a665 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N))))
% 16.70/16.88 (assume a666 (forall ((X tptp.list_VEBT_VEBT) (Y tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT X) (tptp.size_s6755466524823107622T_VEBT Y))) (not (= X Y)))))
% 16.70/16.88 (assume a667 (forall ((X tptp.list_bool) (Y tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool X) (tptp.size_size_list_bool Y))) (not (= X Y)))))
% 16.70/16.88 (assume a668 (forall ((X tptp.list_nat) (Y tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat X) (tptp.size_size_list_nat Y))) (not (= X Y)))))
% 16.70/16.88 (assume a669 (forall ((X tptp.list_int) (Y tptp.list_int)) (=> (not (= (tptp.size_size_list_int X) (tptp.size_size_list_int Y))) (not (= X Y)))))
% 16.70/16.88 (assume a670 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= (tptp.aa_num_nat tptp.size_size_num X) (tptp.aa_num_nat tptp.size_size_num Y))) (not (= X Y)))))
% 16.70/16.88 (assume a671 (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)))))
% 16.70/16.88 (assume a672 (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.aa_num_fun_num_num tptp.plus_plus_num V) tptp.one))) N))))
% 16.70/16.88 (assume a673 (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.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_1)))) (=> (forall ((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.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 16.70/16.88 (assume a674 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.88 (assume a675 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.88 (assume a676 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.88 (assume a677 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.88 (assume a678 (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))))))
% 16.70/16.88 (assume a679 (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)))))
% 16.70/16.88 (assume a680 (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)))))
% 16.70/16.88 (assume a681 (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)))))
% 16.70/16.88 (assume a682 (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))))))
% 16.70/16.88 (assume a683 (forall ((F tptp.fun_nat_nat) (I2 tptp.nat) (J tptp.nat)) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) J2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F I4)) (tptp.aa_nat_nat F J2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I2)) (tptp.aa_nat_nat F J)))))))
% 16.70/16.88 (assume a684 (forall ((I2 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 I2) J)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)))))
% 16.70/16.88 (assume a685 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 16.70/16.88 (assume a686 (forall ((I2 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 I2) J)) I2)))))
% 16.70/16.88 (assume a687 (forall ((J tptp.nat) (I2 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) I2)) I2)))))
% 16.70/16.88 (assume a688 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))))))
% 16.70/16.88 (assume a689 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M))))))
% 16.70/16.88 (assume a690 (forall ((I2 tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) J))))))
% 16.70/16.88 (assume a691 (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))))))
% 16.70/16.88 (assume a692 (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))))))))
% 16.70/16.88 (assume a693 (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)))))
% 16.70/16.88 (assume a694 (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)))))
% 16.70/16.88 (assume a695 (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)))))
% 16.70/16.88 (assume a696 (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)))))
% 16.70/16.88 (assume a697 (forall ((K tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L)) (exists ((N3 tptp.nat)) (= L (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N3))))))
% 16.70/16.88 (assume a698 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 16.70/16.88 (assume a699 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))))))
% 16.70/16.88 (assume a700 (forall ((I2 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 I2) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M))))))
% 16.70/16.88 (assume a701 (forall ((I2 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 I2) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) J))))))
% 16.70/16.88 (assume a702 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (exists ((K3 tptp.nat)) (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K3))))))
% 16.70/16.88 (assume a703 (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))))))
% 16.70/16.88 (assume a704 (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)))))
% 16.70/16.88 (assume a705 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) L)))))))
% 16.70/16.88 (assume a706 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K))))))
% 16.70/16.88 (assume a707 (forall ((I2 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 I2) 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) I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) J))))))
% 16.70/16.88 (assume a708 (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)))))
% 16.70/16.88 (assume a709 (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)))))
% 16.70/16.88 (assume a710 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)))
% 16.70/16.88 (assume a711 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)))
% 16.70/16.88 (assume a712 (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.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_1)))) (=> (forall ((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.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 16.70/16.88 (assume a713 (forall ((F tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F M5)) (tptp.aa_nat_nat F N3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat F M)) K)) (tptp.aa_nat_nat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)))))))
% 16.70/16.88 (assume a714 (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.vEBT_invar_vebt X4) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (forall ((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))) M))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I4))))) (=> (=> (= 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 ((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))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) (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) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I4)) (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.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 16.70/16.88 (assume a715 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X))))))
% 16.70/16.88 (assume a716 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X)) (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X))))))
% 16.70/16.88 (assume a717 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X)) (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X))))))
% 16.70/16.88 (assume a718 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X))))))
% 16.70/16.88 (assume a719 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt T)))))
% 16.70/16.88 (assume a720 (forall ((Deg tptp.nat) (Ma tptp.nat) (X tptp.nat) (Mi tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.some_nat Ma))))))
% 16.70/16.88 (assume a721 (forall ((Deg tptp.nat) (X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.some_nat Mi))))))
% 16.70/16.88 (assume a722 (forall ((Y tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat X)) (tptp.some_nat Y))))))
% 16.70/16.88 (assume a723 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat X)) (tptp.some_nat Y))))))
% 16.70/16.88 (assume a724 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_succ T X) (tptp.some_nat Y)) (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)))))))
% 16.70/16.88 (assume a725 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_pred T X) (tptp.some_nat Y)) (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)))))))
% 16.70/16.88 (assume a726 (forall ((T tptp.vEBT_VEBT) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt T)) X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (forall ((Z4 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Z4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z4))))))))
% 16.70/16.88 (assume a727 (forall ((T tptp.vEBT_VEBT) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_VEBT_set_vebt T)) X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (forall ((Z4 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Z4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z4) X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z4) Y))))))))
% 16.70/16.88 (assume a728 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Px tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X) (tptp.some_nat Px)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_VEBT_set_vebt T)) X) Px))))))
% 16.70/16.88 (assume a729 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt T)) X) Sx))))))
% 16.70/16.88 (assume a730 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_set_vebt T)) X) Sx))))))
% 16.70/16.88 (assume a731 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_set_vebt T)) X) Sx))))))
% 16.70/16.88 (assume a732 (= tptp.vEBT_VEBT_power (tptp.vEBT_V4262088993061758097ft_nat tptp.power_power_nat)))
% 16.70/16.88 (assume a733 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (not (= Mi Ma)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) Ma)) (exists ((M5 tptp.nat)) (and (= (tptp.some_nat M5) (tptp.vEBT_vebt_mint Summary)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))
% 16.70/16.88 (assume a734 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) tptp.none_nat))))))
% 16.70/16.88 (assume a735 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) tptp.none_nat))))))
% 16.70/16.88 (assume a736 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= (tptp.some_P7363390416028606310at_nat (tptp.the_Pr8591224930841456533at_nat Option)) Option))))
% 16.70/16.88 (assume a737 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= (tptp.some_nat (tptp.the_nat Option)) Option))))
% 16.70/16.88 (assume a738 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= (tptp.some_num (tptp.the_num Option)) Option))))
% 16.70/16.88 (assume a739 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) X)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList Summary))))
% 16.70/16.88 (assume a740 (forall ((Mi tptp.nat) (Ma tptp.nat) (Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Ux Uy Uz)) (tptp.some_nat Ma))))
% 16.70/16.88 (assume a741 (forall ((Mi tptp.nat) (Ma tptp.nat) (Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Ux Uy Uz)) (tptp.some_nat Mi))))
% 16.70/16.88 (assume a742 (forall ((X tptp.option4927543243414619207at_nat)) (= (not (= X tptp.none_P5556105721700978146at_nat)) (exists ((Y4 tptp.product_prod_nat_nat)) (= X (tptp.some_P7363390416028606310at_nat Y4))))))
% 16.70/16.88 (assume a743 (forall ((X tptp.option_nat)) (= (not (= X tptp.none_nat)) (exists ((Y4 tptp.nat)) (= X (tptp.some_nat Y4))))))
% 16.70/16.88 (assume a744 (forall ((X tptp.option_num)) (= (not (= X tptp.none_num)) (exists ((Y4 tptp.num)) (= X (tptp.some_num Y4))))))
% 16.70/16.88 (assume a745 (forall ((X tptp.option4927543243414619207at_nat)) (= (forall ((Y4 tptp.product_prod_nat_nat)) (not (= X (tptp.some_P7363390416028606310at_nat Y4)))) (= X tptp.none_P5556105721700978146at_nat))))
% 16.70/16.88 (assume a746 (forall ((X tptp.option_nat)) (= (forall ((Y4 tptp.nat)) (not (= X (tptp.some_nat Y4)))) (= X tptp.none_nat))))
% 16.70/16.88 (assume a747 (forall ((X tptp.option_num)) (= (forall ((Y4 tptp.num)) (not (= X (tptp.some_num Y4)))) (= X tptp.none_num))))
% 16.70/16.88 (assume a748 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.ord_max_Code_integer X Y)) Z)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger X) Z)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Y) Z))))))
% 16.70/16.88 (assume a749 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y)) Z)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Z)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) Z))))))
% 16.70/16.88 (assume a750 (forall ((X 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 X) Y)) Z)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z))))))
% 16.70/16.88 (assume a751 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X) Y)) Z)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z))))))
% 16.70/16.88 (assume a752 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y)) Z)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z))))))
% 16.70/16.88 (assume a753 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y)) Z)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z))))))
% 16.70/16.88 (assume a754 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) B)) (= (tptp.ord_max_Code_integer A B) B))))
% 16.70/16.88 (assume a755 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) B))))
% 16.70/16.88 (assume a756 (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))))
% 16.70/16.88 (assume a757 (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.aa_num_fun_num_num tptp.ord_max_num A) B) B))))
% 16.70/16.88 (assume a758 (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))))
% 16.70/16.88 (assume a759 (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))))
% 16.70/16.88 (assume a760 (forall ((T tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)))))
% 16.70/16.88 (assume a761 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (= (tptp.vEBT_vebt_mint T) tptp.none_nat))))
% 16.70/16.88 (assume a762 (forall ((X22 tptp.product_prod_nat_nat) (Y22 tptp.product_prod_nat_nat)) (= (= (tptp.some_P7363390416028606310at_nat X22) (tptp.some_P7363390416028606310at_nat Y22)) (= X22 Y22))))
% 16.70/16.89 (assume a763 (forall ((X22 tptp.nat) (Y22 tptp.nat)) (= (= (tptp.some_nat X22) (tptp.some_nat Y22)) (= X22 Y22))))
% 16.70/16.89 (assume a764 (forall ((X22 tptp.num) (Y22 tptp.num)) (= (= (tptp.some_num X22) (tptp.some_num Y22)) (= X22 Y22))))
% 16.70/16.89 (assume a765 (forall ((A tptp.nat) (B tptp.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.ord_max_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))
% 16.70/16.89 (assume a766 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)) B) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))
% 16.70/16.89 (assume a767 (forall ((A tptp.int) (B tptp.int)) (= (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.ord_max_int A) B)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))
% 16.70/16.89 (assume a768 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.ord_max_Code_integer (tptp.ord_max_Code_integer A B) B) (tptp.ord_max_Code_integer A B))))
% 16.70/16.89 (assume a769 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))
% 16.70/16.89 (assume a770 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))
% 16.70/16.89 (assume a771 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))
% 16.70/16.89 (assume a772 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.ord_max_Code_integer A (tptp.ord_max_Code_integer A B)) (tptp.ord_max_Code_integer A B))))
% 16.70/16.89 (assume a773 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) A) A)))
% 16.70/16.89 (assume a774 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) A) A)))
% 16.70/16.89 (assume a775 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) A) A)))
% 16.70/16.89 (assume a776 (forall ((A tptp.code_integer)) (= (tptp.ord_max_Code_integer A A) A)))
% 16.70/16.89 (assume a777 (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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) 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.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))))))
% 16.70/16.89 (assume a778 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Ma) X)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) tptp.none_nat)))))
% 16.70/16.89 (assume a779 (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))))
% 16.70/16.89 (assume a780 (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))))
% 16.70/16.89 (assume a781 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)) A)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A))))))
% 16.70/16.89 (assume a782 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.ord_max_Code_integer B C)) A)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) A))))))
% 16.70/16.89 (assume a783 (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.aa_num_fun_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))))))
% 16.70/16.89 (assume a784 (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))))))
% 16.70/16.89 (assume a785 (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))))))
% 16.70/16.89 (assume a786 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) B))))
% 16.70/16.89 (assume a787 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (= (tptp.ord_max_Code_integer A B) B))))
% 16.70/16.89 (assume a788 (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.aa_num_fun_num_num tptp.ord_max_num A) B) B))))
% 16.70/16.89 (assume a789 (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))))
% 16.70/16.89 (assume a790 (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))))
% 16.70/16.89 (assume a791 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) A))))
% 16.70/16.89 (assume a792 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (= (tptp.ord_max_Code_integer A B) A))))
% 16.70/16.89 (assume a793 (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.aa_num_fun_num_num tptp.ord_max_num A) B) A))))
% 16.70/16.89 (assume a794 (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))))
% 16.70/16.89 (assume a795 (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))))
% 16.70/16.89 (assume a796 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger B) A)) (= (tptp.ord_max_Code_integer A B) A))))
% 16.70/16.89 (assume a797 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) A))))
% 16.70/16.89 (assume a798 (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))))
% 16.70/16.89 (assume a799 (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.aa_num_fun_num_num tptp.ord_max_num A) B) A))))
% 16.70/16.89 (assume a800 (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))))
% 16.70/16.89 (assume a801 (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))))
% 16.70/16.89 (assume a802 (forall ((I2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) 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) I2)) I2))))
% 16.70/16.89 (assume a803 (forall ((I2 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 I2) J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))
% 16.70/16.89 (assume a804 (forall ((A tptp.complex) (B tptp.complex) (V tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.numera6690914467698888265omplex V))))))
% 16.70/16.89 (assume a805 (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))))))
% 16.70/16.89 (assume a806 (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))))))
% 16.70/16.89 (assume a807 (forall ((V tptp.num) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) C)))))
% 16.70/16.89 (assume a808 (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)))))
% 16.70/16.89 (assume a809 (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)))))
% 16.70/16.89 (assume a810 (forall ((K tptp.nat) (J tptp.nat) (I2 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 I2) (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 I2) J)) K)))))
% 16.70/16.89 (assume a811 (forall ((K tptp.nat) (J tptp.nat) (I2 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)) I2) (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) I2)) K)))))
% 16.70/16.89 (assume a812 (forall ((K tptp.nat) (J tptp.nat) (I2 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 I2) (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 I2) K)) J)))))
% 16.70/16.89 (assume a813 (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)))
% 16.70/16.89 (assume a814 (forall ((K tptp.nat) (J tptp.nat) (I2 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))) I2) (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) I2))))))
% 16.70/16.89 (assume a815 (forall ((K tptp.nat) (J tptp.nat) (I2 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 I2) (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 I2) K)) (tptp.aa_nat_nat tptp.suc J))))))
% 16.70/16.89 (assume a816 (forall ((I2 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 I2) 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 I2) K)) J))))
% 16.70/16.89 (assume a817 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) D)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) (tptp.aa_complex_complex (tptp.minus_minus_complex C) D)))))
% 16.70/16.89 (assume a818 (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)))))
% 16.70/16.89 (assume a819 (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)))))
% 16.70/16.89 (assume a820 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) I2)))))))
% 16.70/16.89 (assume a821 (forall ((F tptp.fun_Pr2477239776880934807at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (= (tptp.vEBT_V1502963449132264192at_nat F (tptp.some_P7363390416028606310at_nat A) (tptp.some_P7363390416028606310at_nat B)) (tptp.some_P7363390416028606310at_nat (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat F A) B)))))
% 16.70/16.89 (assume a822 (forall ((F tptp.fun_num_fun_num_num) (A tptp.num) (B tptp.num)) (= (tptp.vEBT_V819420779217536731ft_num F (tptp.some_num A) (tptp.some_num B)) (tptp.some_num (tptp.aa_num_num (tptp.aa_num_fun_num_num F A) B)))))
% 16.70/16.89 (assume a823 (forall ((F tptp.fun_nat_fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat F) (tptp.some_nat A)) (tptp.some_nat B)) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) B)))))
% 16.70/16.89 (assume a824 (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)))))))
% 16.70/16.89 (assume a825 (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)))))
% 16.70/16.89 (assume a826 (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))))))
% 16.70/16.89 (assume a827 (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)))))))
% 16.70/16.89 (assume a828 (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))))
% 16.70/16.89 (assume a829 (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))))))
% 16.70/16.89 (assume a830 (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))))))
% 16.70/16.89 (assume a831 (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)))))))
% 16.70/16.89 (assume a832 (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))))))
% 16.70/16.89 (assume a833 (forall ((Uu tptp.fun_Pr2477239776880934807at_nat) (Uv tptp.option4927543243414619207at_nat)) (= (tptp.vEBT_V1502963449132264192at_nat Uu tptp.none_P5556105721700978146at_nat Uv) tptp.none_P5556105721700978146at_nat)))
% 16.70/16.89 (assume a834 (forall ((Uu tptp.fun_num_fun_num_num) (Uv tptp.option_num)) (= (tptp.vEBT_V819420779217536731ft_num Uu tptp.none_num Uv) tptp.none_num)))
% 16.70/16.89 (assume a835 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uv tptp.option_nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat Uu) tptp.none_nat) Uv) tptp.none_nat)))
% 16.70/16.89 (assume a836 (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))))
% 16.70/16.89 (assume a837 (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))))
% 16.70/16.89 (assume a838 (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)))
% 16.70/16.89 (assume a839 (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)))
% 16.70/16.89 (assume a840 (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)))))
% 16.70/16.89 (assume a841 (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)))))
% 16.70/16.89 (assume a842 (forall ((X tptp.complex) (Y tptp.complex) (A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex (tptp.minus_minus_complex Y) B))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) A)) B)))))
% 16.70/16.89 (assume a843 (forall ((X 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 X) 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 X) (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 X) A)) B)))))
% 16.70/16.89 (assume a844 (forall ((X 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 X) 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 X) (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 X) A)) B)))))
% 16.70/16.89 (assume a845 (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)))))
% 16.70/16.89 (assume a846 (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)))))
% 16.70/16.89 (assume a847 (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))))))
% 16.70/16.89 (assume a848 (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)))))))
% 16.70/16.89 (assume a849 (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)))))))
% 16.70/16.89 (assume a850 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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 I2) K)) J)))))
% 16.70/16.89 (assume a851 (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))))
% 16.70/16.89 (assume a852 (forall ((J tptp.nat) (K tptp.nat) (I2 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)) I2)) (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 I2) K))))))
% 16.70/16.89 (assume a853 (forall ((K tptp.nat) (J tptp.nat) (I2 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 I2) (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 I2) K)) J))))))
% 16.70/16.89 (assume a854 (forall ((K tptp.nat) (J tptp.nat) (I2 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 I2) J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))))))
% 16.70/16.89 (assume a855 (forall ((K tptp.nat) (J tptp.nat) (I2 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) I2)) 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)) I2)))))
% 16.70/16.89 (assume a856 (forall ((I2 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 I2) J)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I2) K) (= J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) I2))))))
% 16.70/16.89 (assume a857 (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))))
% 16.70/16.89 (assume a858 (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))))
% 16.70/16.89 (assume a859 (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) tptp.none_nat)))
% 16.70/16.89 (assume a860 (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) tptp.none_nat)))
% 16.70/16.89 (assume a861 (forall ((Uw tptp.fun_Pr2477239776880934807at_nat) (V tptp.product_prod_nat_nat)) (= (tptp.vEBT_V1502963449132264192at_nat Uw (tptp.some_P7363390416028606310at_nat V) tptp.none_P5556105721700978146at_nat) tptp.none_P5556105721700978146at_nat)))
% 16.70/16.89 (assume a862 (forall ((Uw tptp.fun_num_fun_num_num) (V tptp.num)) (= (tptp.vEBT_V819420779217536731ft_num Uw (tptp.some_num V) tptp.none_num) tptp.none_num)))
% 16.70/16.89 (assume a863 (forall ((Uw tptp.fun_nat_fun_nat_nat) (V tptp.nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat Uw) (tptp.some_nat V)) tptp.none_nat) tptp.none_nat)))
% 16.70/16.89 (assume a864 (forall ((X tptp.fun_Pr2477239776880934807at_nat) (Xa2 tptp.option4927543243414619207at_nat) (Xb tptp.option4927543243414619207at_nat) (Y tptp.option4927543243414619207at_nat)) (=> (= (tptp.vEBT_V1502963449132264192at_nat X Xa2 Xb) Y) (=> (=> (= Xa2 tptp.none_P5556105721700978146at_nat) (not (= Y tptp.none_P5556105721700978146at_nat))) (=> (=> (exists ((V2 tptp.product_prod_nat_nat)) (= Xa2 (tptp.some_P7363390416028606310at_nat V2))) (=> (= Xb tptp.none_P5556105721700978146at_nat) (not (= Y tptp.none_P5556105721700978146at_nat)))) (not (forall ((A3 tptp.product_prod_nat_nat)) (=> (= Xa2 (tptp.some_P7363390416028606310at_nat A3)) (forall ((B3 tptp.product_prod_nat_nat)) (=> (= Xb (tptp.some_P7363390416028606310at_nat B3)) (not (= Y (tptp.some_P7363390416028606310at_nat (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat X A3) B3))))))))))))))
% 16.70/16.89 (assume a865 (forall ((X tptp.fun_num_fun_num_num) (Xa2 tptp.option_num) (Xb tptp.option_num) (Y tptp.option_num)) (=> (= (tptp.vEBT_V819420779217536731ft_num X Xa2 Xb) Y) (=> (=> (= Xa2 tptp.none_num) (not (= Y tptp.none_num))) (=> (=> (exists ((V2 tptp.num)) (= Xa2 (tptp.some_num V2))) (=> (= Xb tptp.none_num) (not (= Y tptp.none_num)))) (not (forall ((A3 tptp.num)) (=> (= Xa2 (tptp.some_num A3)) (forall ((B3 tptp.num)) (=> (= Xb (tptp.some_num B3)) (not (= Y (tptp.some_num (tptp.aa_num_num (tptp.aa_num_fun_num_num X A3) B3))))))))))))))
% 16.70/16.89 (assume a866 (forall ((X tptp.fun_nat_fun_nat_nat) (Xa2 tptp.option_nat) (Xb tptp.option_nat) (Y tptp.option_nat)) (=> (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat X) Xa2) Xb) Y) (=> (=> (= Xa2 tptp.none_nat) (not (= Y tptp.none_nat))) (=> (=> (exists ((V2 tptp.nat)) (= Xa2 (tptp.some_nat V2))) (=> (= Xb tptp.none_nat) (not (= Y tptp.none_nat)))) (not (forall ((A3 tptp.nat)) (=> (= Xa2 (tptp.some_nat A3)) (forall ((B3 tptp.nat)) (=> (= Xb (tptp.some_nat B3)) (not (= Y (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X A3) B3))))))))))))))
% 16.70/16.89 (assume a867 (forall ((K tptp.nat) (J tptp.nat) (I2 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)) I2)) (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 I2) K)))))))
% 16.70/16.89 (assume a868 (forall ((J tptp.nat) (I2 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) I2)) (= (= (tptp.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 I2) 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 I2) J)) U)) M) N)))))
% 16.70/16.89 (assume a869 (forall ((I2 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 I2) 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 I2) 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) I2)) U)) N))))))
% 16.70/16.89 (assume a870 (forall ((J tptp.nat) (I2 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) I2)) (= (tptp.pp (tptp.aa_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 I2) 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 I2) J)) U)) M)) N))))))
% 16.70/16.89 (assume a871 (forall ((I2 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 I2) 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 I2) 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) I2)) U)) N)))))))
% 16.70/16.89 (assume a872 (forall ((J tptp.nat) (I2 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) I2)) (= (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 I2) 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 I2) J)) U)) M)) N)))))
% 16.70/16.89 (assume a873 (forall ((I2 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 I2) 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 I2) 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) I2)) U)) N))))))
% 16.70/16.89 (assume a874 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)))))
% 16.70/16.89 (assume a875 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)))))
% 16.70/16.89 (assume a876 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)))))
% 16.70/16.89 (assume a877 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (= (tptp.ord_max_Code_integer B (tptp.ord_max_Code_integer A C)) (tptp.ord_max_Code_integer A (tptp.ord_max_Code_integer B C)))))
% 16.70/16.89 (assume a878 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) A))))
% 16.70/16.89 (assume a879 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) A))))
% 16.70/16.89 (assume a880 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) A))))
% 16.70/16.89 (assume a881 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.ord_max_Code_integer A B) (tptp.ord_max_Code_integer B A))))
% 16.70/16.89 (assume a882 (forall ((A tptp.nat) (B tptp.nat) (C tptp.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.ord_max_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)))))
% 16.70/16.89 (assume a883 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)) C) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)))))
% 16.70/16.89 (assume a884 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (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.ord_max_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)))))
% 16.70/16.89 (assume a885 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.ord_max_Code_integer (tptp.ord_max_Code_integer A B) C) (tptp.ord_max_Code_integer A (tptp.ord_max_Code_integer B C)))))
% 16.70/16.89 (assume a886 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.89 (assume a887 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.89 (assume a888 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.89 (assume a889 (forall ((J tptp.nat) (I2 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) I2)) (= (tptp.pp (tptp.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 I2) 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 I2) J)) U)) M)) N))))))
% 16.70/16.89 (assume a890 (forall ((I2 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 I2) 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 I2) 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) I2)) U)) N)))))))
% 16.70/16.89 (assume a891 (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)))))))
% 16.70/16.89 (assume a892 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.89 (assume a893 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.89 (assume a894 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 16.70/16.89 (assume a895 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))))
% 16.70/16.89 (assume a896 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) (tptp.ord_max_Code_integer A B))))))
% 16.70/16.89 (assume a897 (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.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.70/16.89 (assume a898 (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))))))
% 16.70/16.89 (assume a899 (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))))))
% 16.70/16.89 (assume a900 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))))
% 16.70/16.89 (assume a901 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) (tptp.ord_max_Code_integer A B))))))
% 16.70/16.89 (assume a902 (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.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.70/16.89 (assume a903 (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))))))
% 16.70/16.89 (assume a904 (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))))))
% 16.70/16.89 (assume a905 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) B))))
% 16.70/16.89 (assume a906 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (= (tptp.ord_max_Code_integer A B) B))))
% 16.70/16.89 (assume a907 (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.aa_num_fun_num_num tptp.ord_max_num A) B) B))))
% 16.70/16.89 (assume a908 (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))))
% 16.70/16.89 (assume a909 (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))))
% 16.70/16.89 (assume a910 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) A))))
% 16.70/16.89 (assume a911 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (= (tptp.ord_max_Code_integer A B) A))))
% 16.70/16.89 (assume a912 (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.aa_num_fun_num_num tptp.ord_max_num A) B) A))))
% 16.70/16.89 (assume a913 (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))))
% 16.70/16.89 (assume a914 (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))))
% 16.70/16.89 (assume a915 (forall ((Z tptp.extended_enat) (X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Z) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Z) X)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Z) Y))))))
% 16.70/16.89 (assume a916 (forall ((Z tptp.code_integer) (X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger Z) (tptp.ord_max_Code_integer X Y))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger Z) X)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger Z) Y))))))
% 16.70/16.89 (assume a917 (forall ((Z tptp.num) (X 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.aa_num_fun_num_num tptp.ord_max_num X) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y))))))
% 16.70/16.89 (assume a918 (forall ((Z tptp.nat) (X 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 X) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y))))))
% 16.70/16.89 (assume a919 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y))))))
% 16.70/16.89 (assume a920 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)))))
% 16.70/16.89 (assume a921 (forall ((B tptp.code_integer) (A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) (tptp.ord_max_Code_integer A B)))))
% 16.70/16.89 (assume a922 (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.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.70/16.89 (assume a923 (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)))))
% 16.70/16.89 (assume a924 (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)))))
% 16.70/16.89 (assume a925 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)))))
% 16.70/16.89 (assume a926 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) (tptp.ord_max_Code_integer A B)))))
% 16.70/16.89 (assume a927 (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.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.70/16.89 (assume a928 (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)))))
% 16.70/16.89 (assume a929 (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)))))
% 16.70/16.89 (assume a930 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (= A (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)))))
% 16.70/16.89 (assume a931 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (= A (tptp.ord_max_Code_integer A B)))))
% 16.70/16.89 (assume a932 (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.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.70/16.89 (assume a933 (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)))))
% 16.70/16.89 (assume a934 (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)))))
% 16.70/16.89 (assume a935 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)) A))))))
% 16.70/16.89 (assume a936 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.ord_max_Code_integer B C)) A))))))
% 16.70/16.89 (assume a937 (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.aa_num_fun_num_num tptp.ord_max_num B) C)) A))))))
% 16.70/16.89 (assume a938 (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))))))
% 16.70/16.89 (assume a939 (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))))))
% 16.70/16.89 (assume a940 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)) A)) (not (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A))))))))
% 16.70/16.89 (assume a941 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.ord_max_Code_integer B C)) A)) (not (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) A))))))))
% 16.70/16.89 (assume a942 (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.aa_num_fun_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))))))))
% 16.70/16.89 (assume a943 (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))))))))
% 16.70/16.89 (assume a944 (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))))))))
% 16.70/16.89 (assume a945 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (= A (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)))))
% 16.70/16.89 (assume a946 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= A (tptp.ord_max_Code_integer A B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)))))
% 16.70/16.89 (assume a947 (forall ((A tptp.num) (B tptp.num)) (=> (= A (tptp.aa_num_num (tptp.aa_num_fun_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)))))
% 16.70/16.89 (assume a948 (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)))))
% 16.70/16.89 (assume a949 (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)))))
% 16.70/16.89 (assume a950 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (= A (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)))))
% 16.70/16.89 (assume a951 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (= A (tptp.ord_max_Code_integer A B)))))
% 16.70/16.89 (assume a952 (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.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.70/16.89 (assume a953 (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)))))
% 16.70/16.89 (assume a954 (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)))))
% 16.70/16.89 (assume a955 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (D tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat D) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat C) D)) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)))))))
% 16.70/16.89 (assume a956 (forall ((C tptp.code_integer) (A tptp.code_integer) (D tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger D) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.ord_max_Code_integer C D)) (tptp.ord_max_Code_integer A B)))))))
% 16.70/16.89 (assume a957 (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.aa_num_fun_num_num tptp.ord_max_num C) D)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))))
% 16.70/16.89 (assume a958 (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)))))))
% 16.70/16.89 (assume a959 (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)))))))
% 16.70/16.89 (assume a960 (forall ((Z tptp.code_integer) (X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Z) (tptp.ord_max_Code_integer X Y))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Z) X)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Z) Y))))))
% 16.70/16.89 (assume a961 (forall ((Z tptp.extended_enat) (X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z) X)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z) Y))))))
% 16.70/16.89 (assume a962 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real X) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) Y))))))
% 16.70/16.89 (assume a963 (forall ((Z tptp.num) (X 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.aa_num_fun_num_num tptp.ord_max_num X) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z) X)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z) Y))))))
% 16.70/16.89 (assume a964 (forall ((Z tptp.nat) (X 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 X) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) Y))))))
% 16.70/16.89 (assume a965 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) Y))))))
% 16.70/16.89 (assume a966 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.ord_max_Code_integer B C)) A)) (not (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger B) A)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger C) A))))))))
% 16.70/16.89 (assume a967 (forall ((B tptp.extended_enat) (C tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat B) C)) A)) (not (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A))))))))
% 16.70/16.89 (assume a968 (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))))))))
% 16.70/16.89 (assume a969 (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.aa_num_fun_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))))))))
% 16.70/16.89 (assume a970 (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))))))))
% 16.70/16.89 (assume a971 (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))))))))
% 16.70/16.89 (assume a972 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger B) A)) (and (= A (tptp.ord_max_Code_integer A B)) (not (= A B))))))
% 16.70/16.89 (assume a973 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (and (= A (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B)) (not (= A B))))))
% 16.70/16.89 (assume a974 (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))))))
% 16.70/16.89 (assume a975 (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.aa_num_fun_num_num tptp.ord_max_num A) B)) (not (= A B))))))
% 16.70/16.89 (assume a976 (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))))))
% 16.70/16.89 (assume a977 (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))))))
% 16.70/16.89 (assume a978 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger C) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger C) (tptp.ord_max_Code_integer A B))))))
% 16.70/16.89 (assume a979 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))))
% 16.70/16.89 (assume a980 (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))))))
% 16.70/16.89 (assume a981 (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.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.70/16.89 (assume a982 (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))))))
% 16.70/16.89 (assume a983 (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))))))
% 16.70/16.89 (assume a984 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger C) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger C) (tptp.ord_max_Code_integer A B))))))
% 16.70/16.89 (assume a985 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B))))))
% 16.70/16.89 (assume a986 (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))))))
% 16.70/16.89 (assume a987 (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.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.70/16.89 (assume a988 (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))))))
% 16.70/16.89 (assume a989 (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))))))
% 16.70/16.89 (assume a990 (forall ((X tptp.option4927543243414619207at_nat) (P tptp.fun_op5682630191948829869t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.product_prod_nat_nat)) (=> (= X (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X) Y)))))))
% 16.70/16.89 (assume a991 (forall ((X tptp.option4927543243414619207at_nat) (P tptp.fun_op9100744243108201484t_bool) (Y tptp.option_nat)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.nat)) (=> (= X (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X) Y)))))))
% 16.70/16.89 (assume a992 (forall ((X tptp.option4927543243414619207at_nat) (P tptp.fun_op775672374849087042m_bool) (Y tptp.option_num)) (=> (=> (= X tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.num)) (=> (= X (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X) Y)))))))
% 16.70/16.89 (assume a993 (forall ((X tptp.option_nat) (P tptp.fun_op5698422665285572208t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.product_prod_nat_nat)) (=> (= X (tptp.some_nat A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X) Y)))))))
% 16.70/16.89 (assume a994 (forall ((X tptp.option_nat) (P tptp.fun_op7792301606653096457t_bool) (Y tptp.option_nat)) (=> (=> (= X tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= X (tptp.some_nat A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X) Y)))))))
% 16.70/16.89 (assume a995 (forall ((X tptp.option_nat) (P tptp.fun_op8690601775248757823m_bool) (Y tptp.option_num)) (=> (=> (= X tptp.none_nat) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= X (tptp.some_nat A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X) Y)))))))
% 16.70/16.89 (assume a996 (forall ((X tptp.option_num) (P tptp.fun_op7732454363416259258t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X tptp.none_num) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.product_prod_nat_nat)) (=> (= X (tptp.some_num A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X) Y)))))))
% 16.70/16.89 (assume a997 (forall ((X tptp.option_num) (P tptp.fun_op1064277265382982207t_bool) (Y tptp.option_nat)) (=> (=> (= X tptp.none_num) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.nat)) (=> (= X (tptp.some_num A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X) Y)))))))
% 16.70/16.89 (assume a998 (forall ((X tptp.option_num) (P tptp.fun_op1962577433978643573m_bool) (Y tptp.option_num)) (=> (=> (= X tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= X (tptp.some_num A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X) Y)))))))
% 16.70/16.89 (assume a999 (forall ((P tptp.fun_op2627489687811228755t_bool)) (= (forall ((X_13 tptp.option4927543243414619207at_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P X_13))) (and (tptp.pp (tptp.aa_opt6800557945374683724t_bool P tptp.none_P5556105721700978146at_nat)) (forall ((X3 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P (tptp.some_P7363390416028606310at_nat X3))))))))
% 16.70/16.89 (assume a1000 (forall ((P tptp.fun_option_nat_bool)) (= (forall ((X_13 tptp.option_nat)) (tptp.pp (tptp.aa_option_nat_bool P X_13))) (and (tptp.pp (tptp.aa_option_nat_bool P tptp.none_nat)) (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_option_nat_bool P (tptp.some_nat X3))))))))
% 16.70/16.89 (assume a1001 (forall ((P tptp.fun_option_num_bool)) (= (forall ((X_13 tptp.option_num)) (tptp.pp (tptp.aa_option_num_bool P X_13))) (and (tptp.pp (tptp.aa_option_num_bool P tptp.none_num)) (forall ((X3 tptp.num)) (tptp.pp (tptp.aa_option_num_bool P (tptp.some_num X3))))))))
% 16.70/16.89 (assume a1002 (forall ((P tptp.fun_op2627489687811228755t_bool)) (= (exists ((X_13 tptp.option4927543243414619207at_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P X_13))) (or (tptp.pp (tptp.aa_opt6800557945374683724t_bool P tptp.none_P5556105721700978146at_nat)) (exists ((X3 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P (tptp.some_P7363390416028606310at_nat X3))))))))
% 16.70/16.89 (assume a1003 (forall ((P tptp.fun_option_nat_bool)) (= (exists ((X_13 tptp.option_nat)) (tptp.pp (tptp.aa_option_nat_bool P X_13))) (or (tptp.pp (tptp.aa_option_nat_bool P tptp.none_nat)) (exists ((X3 tptp.nat)) (tptp.pp (tptp.aa_option_nat_bool P (tptp.some_nat X3))))))))
% 16.70/16.89 (assume a1004 (forall ((P tptp.fun_option_num_bool)) (= (exists ((X_13 tptp.option_num)) (tptp.pp (tptp.aa_option_num_bool P X_13))) (or (tptp.pp (tptp.aa_option_num_bool P tptp.none_num)) (exists ((X3 tptp.num)) (tptp.pp (tptp.aa_option_num_bool P (tptp.some_num X3))))))))
% 16.70/16.89 (assume a1005 (forall ((Y tptp.option4927543243414619207at_nat)) (=> (not (= Y tptp.none_P5556105721700978146at_nat)) (not (forall ((X23 tptp.product_prod_nat_nat)) (not (= Y (tptp.some_P7363390416028606310at_nat X23))))))))
% 16.70/16.89 (assume a1006 (forall ((Y tptp.option_nat)) (=> (not (= Y tptp.none_nat)) (not (forall ((X23 tptp.nat)) (not (= Y (tptp.some_nat X23))))))))
% 16.70/16.89 (assume a1007 (forall ((Y tptp.option_num)) (=> (not (= Y tptp.none_num)) (not (forall ((X23 tptp.num)) (not (= Y (tptp.some_num X23))))))))
% 16.70/16.89 (assume a1008 (forall ((Option tptp.option4927543243414619207at_nat) (X22 tptp.product_prod_nat_nat)) (=> (= Option (tptp.some_P7363390416028606310at_nat X22)) (not (= Option tptp.none_P5556105721700978146at_nat)))))
% 16.70/16.89 (assume a1009 (forall ((Option tptp.option_nat) (X22 tptp.nat)) (=> (= Option (tptp.some_nat X22)) (not (= Option tptp.none_nat)))))
% 16.70/16.89 (assume a1010 (forall ((Option tptp.option_num) (X22 tptp.num)) (=> (= Option (tptp.some_num X22)) (not (= Option tptp.none_num)))))
% 16.70/16.89 (assume a1011 (forall ((X22 tptp.product_prod_nat_nat)) (not (= tptp.none_P5556105721700978146at_nat (tptp.some_P7363390416028606310at_nat X22)))))
% 16.70/16.89 (assume a1012 (forall ((X22 tptp.nat)) (not (= tptp.none_nat (tptp.some_nat X22)))))
% 16.70/16.89 (assume a1013 (forall ((X22 tptp.num)) (not (= tptp.none_num (tptp.some_num X22)))))
% 16.70/16.89 (assume a1014 (forall ((X22 tptp.product_prod_nat_nat)) (= (tptp.the_Pr8591224930841456533at_nat (tptp.some_P7363390416028606310at_nat X22)) X22)))
% 16.70/16.89 (assume a1015 (forall ((X22 tptp.nat)) (= (tptp.the_nat (tptp.some_nat X22)) X22)))
% 16.70/16.89 (assume a1016 (forall ((X22 tptp.num)) (= (tptp.the_num (tptp.some_num X22)) X22)))
% 16.70/16.89 (assume a1017 (forall ((Option tptp.option4927543243414619207at_nat) (Option2 tptp.option4927543243414619207at_nat)) (=> (= (= Option tptp.none_P5556105721700978146at_nat) (= Option2 tptp.none_P5556105721700978146at_nat)) (=> (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (=> (not (= Option2 tptp.none_P5556105721700978146at_nat)) (= (tptp.the_Pr8591224930841456533at_nat Option) (tptp.the_Pr8591224930841456533at_nat Option2)))) (= Option Option2)))))
% 16.70/16.89 (assume a1018 (forall ((Option tptp.option_nat) (Option2 tptp.option_nat)) (=> (= (= Option tptp.none_nat) (= Option2 tptp.none_nat)) (=> (=> (not (= Option tptp.none_nat)) (=> (not (= Option2 tptp.none_nat)) (= (tptp.the_nat Option) (tptp.the_nat Option2)))) (= Option Option2)))))
% 16.70/16.89 (assume a1019 (forall ((Option tptp.option_num) (Option2 tptp.option_num)) (=> (= (= Option tptp.none_num) (= Option2 tptp.none_num)) (=> (=> (not (= Option tptp.none_num)) (=> (not (= Option2 tptp.none_num)) (= (tptp.the_num Option) (tptp.the_num Option2)))) (= Option Option2)))))
% 16.70/16.89 (assume a1020 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= Option (tptp.some_P7363390416028606310at_nat (tptp.the_Pr8591224930841456533at_nat Option))))))
% 16.70/16.89 (assume a1021 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= Option (tptp.some_nat (tptp.the_nat Option))))))
% 16.70/16.89 (assume a1022 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= Option (tptp.some_num (tptp.the_num Option))))))
% 16.70/16.89 (assume a1023 (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))))
% 16.70/16.89 (assume a1024 (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))))
% 16.70/16.89 (assume a1025 (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))))
% 16.70/16.89 (assume a1026 (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))))
% 16.70/16.89 (assume a1027 (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))))
% 16.70/16.89 (assume a1028 (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))))
% 16.70/16.89 (assume a1029 (= tptp.vEBT_VEBT_mul (tptp.vEBT_V4262088993061758097ft_nat tptp.times_times_nat)))
% 16.70/16.89 (assume a1030 (= tptp.vEBT_VEBT_add (tptp.vEBT_V4262088993061758097ft_nat tptp.plus_plus_nat)))
% 16.70/16.89 (assume a1031 (forall ((M tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.89 (assume a1032 (forall ((M tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.89 (assume a1033 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 16.70/16.89 (assume a1034 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) tptp.one_one_real) A)))
% 16.70/16.89 (assume a1035 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.one_one_int) A)))
% 16.70/16.89 (assume a1036 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.one_one_complex) A)))
% 16.70/16.89 (assume a1037 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A tptp.one_one_Code_integer) A)))
% 16.70/16.89 (assume a1038 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) B) A)))
% 16.70/16.89 (assume a1039 (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)))
% 16.70/16.89 (assume a1040 (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)))
% 16.70/16.89 (assume a1041 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) B) A)))
% 16.70/16.89 (assume a1042 (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)))
% 16.70/16.89 (assume a1043 (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)))
% 16.70/16.89 (assume a1044 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex C) A)) (tptp.aa_complex_complex (tptp.plus_plus_complex C) B)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))
% 16.70/16.89 (assume a1045 (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))))
% 16.70/16.89 (assume a1046 (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))))
% 16.70/16.89 (assume a1047 (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))))
% 16.70/16.89 (assume a1048 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) A) B)))
% 16.70/16.89 (assume a1049 (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)))
% 16.70/16.89 (assume a1050 (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)))
% 16.70/16.89 (assume a1051 (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)))
% 16.70/16.89 (assume a1052 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.70/16.89 (assume a1053 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.70/16.89 (assume a1054 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) A) (tptp.aa_complex_complex (tptp.plus_plus_complex C) A)) (= B C))))
% 16.70/16.89 (assume a1055 (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))))
% 16.70/16.89 (assume a1056 (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))))
% 16.70/16.89 (assume a1057 (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))))
% 16.70/16.89 (assume a1058 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (= B C))))
% 16.70/16.89 (assume a1059 (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))))
% 16.70/16.89 (assume a1060 (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))))
% 16.70/16.89 (assume a1061 (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))))
% 16.70/16.89 (assume a1062 (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)))))
% 16.70/16.89 (assume a1063 (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)))))
% 16.70/16.89 (assume a1064 (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)))))
% 16.70/16.89 (assume a1065 (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)))))
% 16.70/16.89 (assume a1066 (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)))))
% 16.70/16.89 (assume a1067 (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)))))
% 16.70/16.89 (assume a1068 (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)))))
% 16.70/16.89 (assume a1069 (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)))))
% 16.70/16.89 (assume a1070 (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)))))
% 16.70/16.89 (assume a1071 (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)))))
% 16.70/16.89 (assume a1072 (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)))))
% 16.70/16.89 (assume a1073 (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)))))
% 16.70/16.89 (assume a1074 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat) A) A)))
% 16.70/16.89 (assume a1075 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 16.70/16.89 (assume a1076 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 16.70/16.89 (assume a1077 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 16.70/16.89 (assume a1078 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 16.70/16.89 (assume a1079 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) tptp.one_on7984719198319812577d_enat) A)))
% 16.70/16.89 (assume a1080 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 16.70/16.89 (assume a1081 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 16.70/16.89 (assume a1082 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 16.70/16.89 (assume a1083 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 16.70/16.89 (assume a1084 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) B) A)))
% 16.70/16.89 (assume a1085 (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)))
% 16.70/16.89 (assume a1086 (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)))
% 16.70/16.89 (assume a1087 (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)))
% 16.70/16.89 (assume a1088 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))
% 16.70/16.89 (assume a1089 (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))))
% 16.70/16.89 (assume a1090 (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))))
% 16.70/16.89 (assume a1091 (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))))
% 16.70/16.89 (assume a1092 (forall ((Z tptp.extended_enat) (Y tptp.extended_enat) (X tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Z) Y)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) (tptp.aa_Ext7969882492699152700d_enat (tptp.minus_3235023915231533773d_enat Y) Z)) (tptp.aa_Ext7969882492699152700d_enat (tptp.minus_3235023915231533773d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y)) Z)))))
% 16.70/16.89 (assume a1093 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.89 (assume a1094 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.89 (assume a1095 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1096 (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)))))
% 16.70/16.89 (assume a1097 (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)))))
% 16.70/16.89 (assume a1098 (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)))))
% 16.70/16.89 (assume a1099 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) (tptp.aa_complex_complex (tptp.times_times_complex B) A))))
% 16.70/16.89 (assume a1100 (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))))
% 16.70/16.89 (assume a1101 (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))))
% 16.70/16.89 (assume a1102 (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))))
% 16.70/16.89 (assume a1103 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) C) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1104 (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)))))
% 16.70/16.89 (assume a1105 (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)))))
% 16.70/16.89 (assume a1106 (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)))))
% 16.70/16.89 (assume a1107 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) C) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1108 (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)))))
% 16.70/16.89 (assume a1109 (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)))))
% 16.70/16.89 (assume a1110 (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)))))
% 16.70/16.89 (assume a1111 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) A) (tptp.aa_complex_complex (tptp.plus_plus_complex C) A)) (= B C))))
% 16.70/16.89 (assume a1112 (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))))
% 16.70/16.89 (assume a1113 (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))))
% 16.70/16.89 (assume a1114 (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))))
% 16.70/16.89 (assume a1115 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (= B C))))
% 16.70/16.89 (assume a1116 (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))))
% 16.70/16.89 (assume a1117 (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))))
% 16.70/16.89 (assume a1118 (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))))
% 16.70/16.89 (assume a1119 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))
% 16.70/16.89 (assume a1120 (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)))))
% 16.70/16.89 (assume a1121 (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)))))
% 16.70/16.89 (assume a1122 (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)))))
% 16.70/16.89 (assume a1123 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex B) A))))
% 16.70/16.89 (assume a1124 (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))))
% 16.70/16.89 (assume a1125 (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))))
% 16.70/16.89 (assume a1126 (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))))
% 16.70/16.89 (assume a1127 (forall ((B tptp.complex) (A tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) A) (tptp.aa_complex_complex (tptp.plus_plus_complex C) A)) (= B C))))
% 16.70/16.89 (assume a1128 (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))))
% 16.70/16.89 (assume a1129 (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))))
% 16.70/16.89 (assume a1130 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) (= B C))))
% 16.70/16.89 (assume a1131 (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))))
% 16.70/16.89 (assume a1132 (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))))
% 16.70/16.89 (assume a1133 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))
% 16.70/16.89 (assume a1134 (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)))))
% 16.70/16.89 (assume a1135 (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)))))
% 16.70/16.89 (assume a1136 (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)))))
% 16.70/16.89 (assume a1137 (forall ((B2 tptp.complex) (K tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= B2 (tptp.aa_complex_complex (tptp.plus_plus_complex K) B)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) (tptp.aa_complex_complex (tptp.plus_plus_complex K) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))))
% 16.70/16.89 (assume a1138 (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))))))
% 16.70/16.89 (assume a1139 (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))))))
% 16.70/16.89 (assume a1140 (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))))))
% 16.70/16.89 (assume a1141 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (= A2 (tptp.aa_complex_complex (tptp.plus_plus_complex K) A)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A2) B) (tptp.aa_complex_complex (tptp.plus_plus_complex K) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))))
% 16.70/16.89 (assume a1142 (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))))))
% 16.70/16.89 (assume a1143 (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))))))
% 16.70/16.89 (assume a1144 (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))))))
% 16.70/16.89 (assume a1145 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I2 J) (= K L)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I2) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L)))))
% 16.70/16.89 (assume a1146 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I2 J) (= K L)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))
% 16.70/16.89 (assume a1147 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I2 J) (= K L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L)))))
% 16.70/16.89 (assume a1148 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))
% 16.70/16.89 (assume a1149 (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)))))
% 16.70/16.89 (assume a1150 (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)))))
% 16.70/16.89 (assume a1151 (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)))))
% 16.70/16.89 (assume a1152 (forall ((X tptp.extended_enat)) (= (= tptp.one_on7984719198319812577d_enat X) (= X tptp.one_on7984719198319812577d_enat))))
% 16.70/16.89 (assume a1153 (forall ((X tptp.complex)) (= (= tptp.one_one_complex X) (= X tptp.one_one_complex))))
% 16.70/16.89 (assume a1154 (forall ((X tptp.real)) (= (= tptp.one_one_real X) (= X tptp.one_one_real))))
% 16.70/16.89 (assume a1155 (forall ((X tptp.nat)) (= (= tptp.one_one_nat X) (= X tptp.one_one_nat))))
% 16.70/16.89 (assume a1156 (forall ((X tptp.int)) (= (= tptp.one_one_int X) (= X tptp.one_one_int))))
% 16.70/16.89 (assume a1157 (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)))))
% 16.70/16.89 (assume a1158 (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)))))
% 16.70/16.89 (assume a1159 (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)))))
% 16.70/16.89 (assume a1160 (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)))))
% 16.70/16.89 (assume a1161 (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)))))
% 16.70/16.89 (assume a1162 (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)))))
% 16.70/16.89 (assume a1163 (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))))))
% 16.70/16.89 (assume a1164 (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))))))
% 16.70/16.89 (assume a1165 (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))))))
% 16.70/16.89 (assume a1166 (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))))))
% 16.70/16.89 (assume a1167 (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))))))))
% 16.70/16.89 (assume a1168 (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))))))
% 16.70/16.89 (assume a1169 (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))))))
% 16.70/16.89 (assume a1170 (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))))))
% 16.70/16.89 (assume a1171 (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)))))))
% 16.70/16.89 (assume a1172 (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)))))))
% 16.70/16.89 (assume a1173 (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)))))))
% 16.70/16.89 (assume a1174 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1175 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1176 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1177 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I2 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1178 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I2 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1179 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I2 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1180 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1181 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1182 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1183 (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)))))
% 16.70/16.89 (assume a1184 (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)))))
% 16.70/16.89 (assume a1185 (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)))))
% 16.70/16.89 (assume a1186 (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)))))
% 16.70/16.89 (assume a1187 (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)))))
% 16.70/16.89 (assume a1188 (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)))))
% 16.70/16.89 (assume a1189 (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))))))
% 16.70/16.89 (assume a1190 (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))))))
% 16.70/16.89 (assume a1191 (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))))))
% 16.70/16.89 (assume a1192 (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))))))
% 16.70/16.89 (assume a1193 (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))))))
% 16.70/16.89 (assume a1194 (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))))))
% 16.70/16.89 (assume a1195 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) D)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat B) D)))))))
% 16.70/16.89 (assume a1196 (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)))))))
% 16.70/16.89 (assume a1197 (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)))))))
% 16.70/16.89 (assume a1198 (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)))))))
% 16.70/16.89 (assume a1199 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1200 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1201 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1202 (forall ((I2 tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I2 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1203 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I2 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1204 (forall ((I2 tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I2 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1205 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1206 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1207 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1208 (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)))))))
% 16.70/16.89 (assume a1209 (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)))))))
% 16.70/16.89 (assume a1210 (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))))))
% 16.70/16.89 (assume a1211 (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))))))
% 16.70/16.89 (assume a1212 (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))))))
% 16.70/16.89 (assume a1213 (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))))))
% 16.70/16.89 (assume a1214 (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))))))
% 16.70/16.89 (assume a1215 (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))))))
% 16.70/16.89 (assume a1216 (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))))))
% 16.70/16.89 (assume a1217 (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))))))
% 16.70/16.89 (assume a1218 (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))))))
% 16.70/16.89 (assume a1219 (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))))))
% 16.70/16.89 (assume a1220 (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))))))
% 16.70/16.89 (assume a1221 (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))))))
% 16.70/16.89 (assume a1222 (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)))))))
% 16.70/16.89 (assume a1223 (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)))))))
% 16.70/16.89 (assume a1224 (forall ((A tptp.complex) (E tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) E)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex B) E)) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) E)) C))))
% 16.70/16.89 (assume a1225 (forall ((A tptp.real) (E 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) E)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) E)) C))))
% 16.70/16.89 (assume a1226 (forall ((A tptp.nat) (E 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) E)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) E)) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) E)) C))))
% 16.70/16.89 (assume a1227 (forall ((A tptp.int) (E 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) E)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) E)) C))))
% 16.70/16.89 (assume a1228 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1229 (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)))))
% 16.70/16.89 (assume a1230 (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)))))
% 16.70/16.89 (assume a1231 (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)))))
% 16.70/16.89 (assume a1232 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex A) C)))))
% 16.70/16.89 (assume a1233 (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)))))
% 16.70/16.89 (assume a1234 (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)))))
% 16.70/16.89 (assume a1235 (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)))))
% 16.70/16.89 (assume a1236 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1237 (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)))))
% 16.70/16.89 (assume a1238 (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)))))
% 16.70/16.89 (assume a1239 (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)))))
% 16.70/16.89 (assume a1240 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex A) C)))))
% 16.70/16.89 (assume a1241 (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)))))
% 16.70/16.89 (assume a1242 (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)))))
% 16.70/16.89 (assume a1243 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1244 (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)))))
% 16.70/16.89 (assume a1245 (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)))))
% 16.70/16.89 (assume a1246 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) tptp.one_on7984719198319812577d_enat) A)))
% 16.70/16.89 (assume a1247 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 16.70/16.89 (assume a1248 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 16.70/16.89 (assume a1249 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 16.70/16.89 (assume a1250 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 16.70/16.89 (assume a1251 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat) A) A)))
% 16.70/16.89 (assume a1252 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 16.70/16.89 (assume a1253 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 16.70/16.89 (assume a1254 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 16.70/16.89 (assume a1255 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 16.70/16.89 (assume a1256 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex A) C)))))
% 16.70/16.89 (assume a1257 (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)))))
% 16.70/16.89 (assume a1258 (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)))))
% 16.70/16.89 (assume a1259 (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)))))
% 16.70/16.89 (assume a1260 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) A) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex B) A)) (tptp.aa_complex_complex (tptp.times_times_complex C) A)))))
% 16.70/16.89 (assume a1261 (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)))))
% 16.70/16.89 (assume a1262 (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)))))
% 16.70/16.89 (assume a1263 (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)))))
% 16.70/16.89 (assume a1264 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex A) C)))))
% 16.70/16.89 (assume a1265 (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)))))
% 16.70/16.89 (assume a1266 (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)))))
% 16.70/16.89 (assume a1267 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) C) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1268 (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)))))
% 16.70/16.89 (assume a1269 (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)))))
% 16.70/16.89 (assume a1270 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) C) (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))
% 16.70/16.89 (assume a1271 (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)))))
% 16.70/16.89 (assume a1272 (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)))))
% 16.70/16.89 (assume a1273 (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)))))
% 16.70/16.89 (assume a1274 (forall ((C tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex C) B) A) (= C (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)))))
% 16.70/16.89 (assume a1275 (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)))))
% 16.70/16.89 (assume a1276 (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)))))
% 16.70/16.89 (assume a1277 (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)))))
% 16.70/16.89 (assume a1278 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) C)) B))))
% 16.70/16.89 (assume a1279 (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))))
% 16.70/16.89 (assume a1280 (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))))
% 16.70/16.89 (assume a1281 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) C) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) B))))
% 16.70/16.89 (assume a1282 (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))))
% 16.70/16.89 (assume a1283 (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))))
% 16.70/16.89 (assume a1284 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) C)) B))))
% 16.70/16.89 (assume a1285 (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))))
% 16.70/16.89 (assume a1286 (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))))
% 16.70/16.89 (assume a1287 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C))))
% 16.70/16.89 (assume a1288 (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))))
% 16.70/16.89 (assume a1289 (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))))
% 16.70/16.89 (assume a1290 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.minus_minus_complex C) B)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) C))))
% 16.70/16.89 (assume a1291 (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))))
% 16.70/16.89 (assume a1292 (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))))
% 16.70/16.89 (assume a1293 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) C) (= A (tptp.aa_complex_complex (tptp.plus_plus_complex C) B)))))
% 16.70/16.89 (assume a1294 (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)))))
% 16.70/16.89 (assume a1295 (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)))))
% 16.70/16.89 (assume a1296 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (= A2 (tptp.aa_complex_complex (tptp.plus_plus_complex K) A)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A2) B) (tptp.aa_complex_complex (tptp.plus_plus_complex K) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))))
% 16.70/16.89 (assume a1297 (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))))))
% 16.70/16.89 (assume a1298 (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))))))
% 16.70/16.89 (assume a1299 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (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 X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Z)))))
% 16.70/16.89 (assume a1300 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) (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 X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Z)))))
% 16.70/16.89 (assume a1301 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.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 X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Z)))))
% 16.70/16.89 (assume a1302 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger X (tptp.ord_max_Code_integer Y Z)) (tptp.ord_max_Code_integer (tptp.plus_p5714425477246183910nteger X Y) (tptp.plus_p5714425477246183910nteger X Z)))))
% 16.70/16.89 (assume a1303 (forall ((X 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 X) 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 X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) Z)))))
% 16.70/16.89 (assume a1304 (forall ((X 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 X) 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 X) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))
% 16.70/16.89 (assume a1305 (forall ((X 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 X) 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 X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y) Z)))))
% 16.70/16.89 (assume a1306 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.ord_max_Code_integer X Y) Z) (tptp.ord_max_Code_integer (tptp.plus_p5714425477246183910nteger X Z) (tptp.plus_p5714425477246183910nteger Y Z)))))
% 16.70/16.89 (assume a1307 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.ord_max_Code_integer X Y) Z) (tptp.ord_max_Code_integer (tptp.minus_8373710615458151222nteger X Z) (tptp.minus_8373710615458151222nteger Y Z)))))
% 16.70/16.89 (assume a1308 (forall ((X 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 X) 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 X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)))))
% 16.70/16.89 (assume a1309 (forall ((X 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 X) 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 X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) Z)))))
% 16.70/16.89 (assume a1310 (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)))))))
% 16.70/16.89 (assume a1311 (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)))))))
% 16.70/16.89 (assume a1312 (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)))))))
% 16.70/16.89 (assume a1313 (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)))))))
% 16.70/16.89 (assume a1314 (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)))))))
% 16.70/16.89 (assume a1315 (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)))))))
% 16.70/16.89 (assume a1316 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1317 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1318 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1319 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 16.70/16.89 (assume a1320 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.70/16.89 (assume a1321 (forall ((I2 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 I2) 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 I2) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.70/16.89 (assume a1322 (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)))))))
% 16.70/16.89 (assume a1323 (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)))))))
% 16.70/16.89 (assume a1324 (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)))))))
% 16.70/16.89 (assume a1325 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) tptp.one_on7984719198319812577d_enat)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat B) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.89 (assume a1326 (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))))))
% 16.70/16.89 (assume a1327 (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))))))
% 16.70/16.89 (assume a1328 (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))))))
% 16.70/16.89 (assume a1329 (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)))))
% 16.70/16.89 (assume a1330 (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)))))
% 16.70/16.89 (assume a1331 (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)))))
% 16.70/16.89 (assume a1332 (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)))))))
% 16.70/16.89 (assume a1333 (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))))
% 16.70/16.89 (assume a1334 (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)))))
% 16.70/16.89 (assume a1335 (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)))))
% 16.70/16.89 (assume a1336 (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)))))
% 16.70/16.89 (assume a1337 (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))))))
% 16.70/16.89 (assume a1338 (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)))))
% 16.70/16.89 (assume a1339 (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))))))
% 16.70/16.89 (assume a1340 (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))))))
% 16.70/16.89 (assume a1341 (forall ((I2 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 I2) 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 I2) 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))))))))
% 16.70/16.89 (assume a1342 (forall ((I2 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 I2) 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 I2) 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))))))))
% 16.70/16.89 (assume a1343 (forall ((I2 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 I2) 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 I2) 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))))))))
% 16.70/16.89 (assume a1344 (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))))
% 16.70/16.89 (assume a1345 (forall ((I2 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 I2) K)) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real N) K))))))
% 16.70/16.89 (assume a1346 (forall ((I2 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 I2) K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 16.70/16.89 (assume a1347 (forall ((I2 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 I2) K)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int N) K))))))
% 16.70/16.89 (assume a1348 (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)))))
% 16.70/16.89 (assume a1349 (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)))))
% 16.70/16.89 (assume a1350 (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))))))
% 16.70/16.89 (assume a1351 (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))))))
% 16.70/16.89 (assume a1352 (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))))
% 16.70/16.89 (assume a1353 (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))))
% 16.70/16.89 (assume a1354 (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))))
% 16.70/16.89 (assume a1355 (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)))))
% 16.70/16.89 (assume a1356 (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)))))
% 16.70/16.89 (assume a1357 (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))))))
% 16.70/16.89 (assume a1358 (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))))))
% 16.70/16.89 (assume a1359 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) X)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)))))
% 16.70/16.89 (assume a1360 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)))))
% 16.70/16.89 (assume a1361 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)))))
% 16.70/16.89 (assume a1362 (forall ((A tptp.complex) (E tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) E)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex B) E)) D)) (= C (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B) A)) E)) D)))))
% 16.70/16.89 (assume a1363 (forall ((A tptp.real) (E 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) E)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D)) (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) E)) D)))))
% 16.70/16.89 (assume a1364 (forall ((A tptp.int) (E 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) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D)) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D)))))
% 16.70/16.89 (assume a1365 (forall ((A tptp.complex) (E tptp.complex) (C tptp.complex) (B tptp.complex) (D tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) E)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex B) E)) D)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) E)) C) D))))
% 16.70/16.89 (assume a1366 (forall ((A tptp.real) (E 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) E)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) E)) C) D))))
% 16.70/16.89 (assume a1367 (forall ((A tptp.int) (E 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) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C) D))))
% 16.70/16.89 (assume a1368 (forall ((A tptp.real) (E 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) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) E)) D))))))
% 16.70/16.89 (assume a1369 (forall ((A tptp.int) (E 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) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D))))))
% 16.70/16.89 (assume a1370 (forall ((A tptp.real) (E 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) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) E)) C)) D)))))
% 16.70/16.89 (assume a1371 (forall ((A tptp.int) (E 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) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C)) D)))))
% 16.70/16.89 (assume a1372 (forall ((A tptp.real) (E 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) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) E)) D))))))
% 16.70/16.89 (assume a1373 (forall ((A tptp.int) (E 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) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D))))))
% 16.70/16.89 (assume a1374 (forall ((A tptp.real) (E 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) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) E)) C)) D)))))
% 16.70/16.89 (assume a1375 (forall ((A tptp.int) (E 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) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C)) D)))))
% 16.70/16.89 (assume a1376 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) X)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X) tptp.one_one_complex)))))
% 16.70/16.89 (assume a1377 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)))))
% 16.70/16.89 (assume a1378 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) tptp.one_one_int)))))
% 16.70/16.89 (assume a1379 (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.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.89 (assume a1380 (forall ((B tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.89 (assume a1381 (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))))
% 16.70/16.89 (assume a1382 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) C))))
% 16.70/16.89 (assume a1383 (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))))
% 16.70/16.89 (assume a1384 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) B))))
% 16.70/16.89 (assume a1385 (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)))))
% 16.70/16.89 (assume a1386 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))
% 16.70/16.89 (assume a1387 (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))))
% 16.70/16.89 (assume a1388 (forall ((B tptp.complex) (C tptp.complex) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex B) A)) C))))
% 16.70/16.89 (assume a1389 (forall ((Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (Va tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy Uz) Va) tptp.none_nat)))
% 16.70/16.89 (assume a1390 (forall ((Uy tptp.nat) (Uz tptp.list_VEBT_VEBT) (Va tptp.vEBT_VEBT) (Vb tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy Uz Va) Vb) tptp.none_nat)))
% 16.70/16.89 (assume a1391 (forall ((L tptp.num) (R 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)) R)) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R)) (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 R) (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)) R))) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R)) (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)) R))))))
% 16.70/16.89 (assume a1392 (forall ((L tptp.num) (R 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)) R)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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 R) (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)) R))) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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)) R))))))
% 16.70/16.89 (assume a1393 (forall ((L tptp.num) (R tptp.code_integer) (Q2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger L)) R)) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q2 R)) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q2) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger R (tptp.numera6620942414471956472nteger L))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger L)) R))) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q2 R)) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q2) R))))))
% 16.70/16.89 (assume a1394 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 16.70/16.89 (assume a1395 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_set_vebt T) (tptp.collect_nat (tptp.vEBT_vebt_member T)))))
% 16.70/16.89 (assume a1396 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 16.70/16.89 (assume a1397 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (and (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg Newlist (tptp.vEBT_vebt_delete Summary H)))) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary))))))))))))))
% 16.70/16.89 (assume a1398 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT) (Summary tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (=> (= Sn (tptp.vEBT_vebt_delete Summary H)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt Sn)) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))))))) Ma))) Deg Newlist Sn))))))))))))))
% 16.70/16.89 (assume a1399 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) 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.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (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.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_vebt_delete Summary H)) (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.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) H))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) Summary)))))))))))
% 16.70/16.89 (assume a1400 (forall ((Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma))) (=> (not (= Mi 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_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (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 X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_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.fequal_nat X) Mi)) (tptp.aa_nat_nat 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(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.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete 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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))) Ma))) Deg (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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) 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(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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat 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(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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat 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(tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (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 X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))))
% 16.70/16.89 (assume a1401 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat)) (=> (and (= X Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (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)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (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)))) 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.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_vebt_delete Summary H)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) H))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) Summary))))))))))))
% 16.70/16.89 (assume a1402 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (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)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (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)))) 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.vEBT_VEBT_high Xn) (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))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (and (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg Newlist (tptp.vEBT_vebt_delete Summary H)))) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.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))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary)))))))))))))))
% 16.70/16.89 (assume a1403 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT)) (=> (and (= X Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma))) (=> (not (= Mi 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.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (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)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (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)))) 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.vEBT_VEBT_high Xn) (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))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (=> (= Sn (tptp.vEBT_vebt_delete Summary H)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (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 Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt Sn)) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))))))) Ma))) Deg Newlist Sn)))))))))))))))
% 16.70/16.89 (assume a1404 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma))) (=> (not (= Mi 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_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete 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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete 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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_delete (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete 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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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))))))))))))) Ma))) Deg (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_delete (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_delete 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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_delete (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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))))))))) Ma))) Deg (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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_delete (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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (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)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))))
% 16.70/16.89 (assume a1405 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 16.70/16.89 (assume a1406 (forall ((Deg tptp.nat) (X tptp.nat) (Ma tptp.nat) (Mi tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.70/16.89 (assume a1407 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.70/16.89 (assume a1408 (forall ((C tptp.complex)) (= (tptp.aTP_Lamm_af C) (tptp.times_times_complex C))))
% 16.70/16.89 (assume a1409 (forall ((C tptp.real)) (= (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ag C) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C))))
% 16.70/16.89 (assume a1410 (forall ((C tptp.nat)) (= (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ah C) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C))))
% 16.70/16.89 (assume a1411 (forall ((C tptp.int)) (= (tptp.aTP_Lamm_ai C) (tptp.aa_int_fun_int_int tptp.times_times_int C))))
% 16.70/16.89 (assume a1412 (= tptp.aTP_Lamm_aj (tptp.times_7803423173614009249d_enat tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a1413 (= tptp.aTP_Lamm_ak (tptp.times_times_complex tptp.one_one_complex)))
% 16.70/16.89 (assume a1414 (= tptp.aTP_Lamm_al (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real)))
% 16.70/16.89 (assume a1415 (= tptp.aTP_Lamm_am (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat)))
% 16.70/16.89 (assume a1416 (= tptp.aTP_Lamm_an (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int)))
% 16.70/16.89 (assume a1417 (forall ((X tptp.produc1260151622200656695at_nat)) (=> (forall ((Uu2 tptp.fun_Pr2477239776880934807at_nat) (Uv2 tptp.option4927543243414619207at_nat)) (not (= X (tptp.produc7814092408141220007at_nat Uu2 (tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat Uv2))))) (=> (forall ((Uw2 tptp.fun_Pr2477239776880934807at_nat) (V2 tptp.product_prod_nat_nat)) (not (= X (tptp.produc7814092408141220007at_nat Uw2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat V2) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 tptp.fun_Pr2477239776880934807at_nat) (A3 tptp.product_prod_nat_nat) (B3 tptp.product_prod_nat_nat)) (not (= X (tptp.produc7814092408141220007at_nat F2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat A3) (tptp.some_P7363390416028606310at_nat B3)))))))))))
% 16.70/16.89 (assume a1418 (forall ((X tptp.produc7004362771917097900on_nat)) (=> (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uv2 tptp.option_nat)) (not (= X (tptp.produc6699827698519632094on_nat Uu2 (tptp.produc5098337634421038937on_nat tptp.none_nat Uv2))))) (=> (forall ((Uw2 tptp.fun_nat_fun_nat_nat) (V2 tptp.nat)) (not (= X (tptp.produc6699827698519632094on_nat Uw2 (tptp.produc5098337634421038937on_nat (tptp.some_nat V2) tptp.none_nat))))) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A3 tptp.nat) (B3 tptp.nat)) (not (= X (tptp.produc6699827698519632094on_nat F2 (tptp.produc5098337634421038937on_nat (tptp.some_nat A3) (tptp.some_nat B3)))))))))))
% 16.70/16.89 (assume a1419 (forall ((X tptp.produc2703417854250991842on_num)) (=> (forall ((Uu2 tptp.fun_num_fun_num_num) (Uv2 tptp.option_num)) (not (= X (tptp.produc6360833703471310868on_num Uu2 (tptp.produc8585076106096196333on_num tptp.none_num Uv2))))) (=> (forall ((Uw2 tptp.fun_num_fun_num_num) (V2 tptp.num)) (not (= X (tptp.produc6360833703471310868on_num Uw2 (tptp.produc8585076106096196333on_num (tptp.some_num V2) tptp.none_num))))) (not (forall ((F2 tptp.fun_num_fun_num_num) (A3 tptp.num) (B3 tptp.num)) (not (= X (tptp.produc6360833703471310868on_num F2 (tptp.produc8585076106096196333on_num (tptp.some_num A3) (tptp.some_num B3)))))))))))
% 16.70/16.89 (assume a1420 (forall ((X tptp.produc533602882674032673at_nat)) (=> (forall ((Uu2 tptp.fun_Pr248683899324676269t_bool) (Uv2 tptp.option4927543243414619207at_nat)) (not (= X (tptp.produc5961576194287291153at_nat Uu2 (tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat Uv2))))) (=> (forall ((Uw2 tptp.fun_Pr248683899324676269t_bool) (V2 tptp.product_prod_nat_nat)) (not (= X (tptp.produc5961576194287291153at_nat Uw2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat V2) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 tptp.fun_Pr248683899324676269t_bool) (X4 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (not (= X (tptp.produc5961576194287291153at_nat F2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat X4) (tptp.some_P7363390416028606310at_nat Y3)))))))))))
% 16.70/16.89 (assume a1421 (forall ((X tptp.produc3700678068921409119on_nat)) (=> (forall ((Uu2 tptp.fun_nat_fun_nat_bool) (Uv2 tptp.option_nat)) (not (= X (tptp.produc2004789812759622991on_nat Uu2 (tptp.produc5098337634421038937on_nat tptp.none_nat Uv2))))) (=> (forall ((Uw2 tptp.fun_nat_fun_nat_bool) (V2 tptp.nat)) (not (= X (tptp.produc2004789812759622991on_nat Uw2 (tptp.produc5098337634421038937on_nat (tptp.some_nat V2) tptp.none_nat))))) (not (forall ((F2 tptp.fun_nat_fun_nat_bool) (X4 tptp.nat) (Y3 tptp.nat)) (not (= X (tptp.produc2004789812759622991on_nat F2 (tptp.produc5098337634421038937on_nat (tptp.some_nat X4) (tptp.some_nat Y3)))))))))))
% 16.70/16.89 (assume a1422 (forall ((X tptp.produc6167219322466932359on_num)) (=> (forall ((Uu2 tptp.fun_num_fun_num_bool) (Uv2 tptp.option_num)) (not (= X (tptp.produc8433281988922931063on_num Uu2 (tptp.produc8585076106096196333on_num tptp.none_num Uv2))))) (=> (forall ((Uw2 tptp.fun_num_fun_num_bool) (V2 tptp.num)) (not (= X (tptp.produc8433281988922931063on_num Uw2 (tptp.produc8585076106096196333on_num (tptp.some_num V2) tptp.none_num))))) (not (forall ((F2 tptp.fun_num_fun_num_bool) (X4 tptp.num) (Y3 tptp.num)) (not (= X (tptp.produc8433281988922931063on_num F2 (tptp.produc8585076106096196333on_num (tptp.some_num X4) (tptp.some_num Y3)))))))))))
% 16.70/16.89 (assume a1423 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_set_vebt T) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T)))))
% 16.70/16.89 (assume a1424 (forall ((N tptp.num)) (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.89 (assume a1425 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 16.70/16.89 (assume a1426 (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)))))
% 16.70/16.89 (assume a1427 (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)))))
% 16.70/16.89 (assume a1428 (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)))))
% 16.70/16.89 (assume a1429 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.89 (assume a1430 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.89 (assume a1431 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.89 (assume a1432 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.89 (assume a1433 (forall ((X2 tptp.real)) (exists ((Y3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) X2)))))
% 16.70/16.89 (assume a1434 (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)))))
% 16.70/16.89 (assume a1435 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) W)))))
% 16.70/16.89 (assume a1436 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex Y) W)))))
% 16.70/16.89 (assume a1437 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))
% 16.70/16.89 (assume a1438 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex X) W)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))
% 16.70/16.89 (assume a1439 (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)))))
% 16.70/16.89 (assume a1440 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex C) B)))))
% 16.70/16.89 (assume a1441 (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)))))
% 16.70/16.89 (assume a1442 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)))))
% 16.70/16.89 (assume a1443 (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)))))
% 16.70/16.89 (assume a1444 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) C) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)))))
% 16.70/16.89 (assume a1445 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) Ma))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)))))
% 16.70/16.89 (assume a1446 (forall ((Ma tptp.nat) (X tptp.nat) (Mi tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X)) (= (tptp.vEBT_vebt_pred (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) X) (tptp.some_nat Ma))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (= (tptp.vEBT_vebt_pred (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) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.70/16.89 (assume a1447 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X) (tptp.some_nat Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.70/16.89 (assume a1448 (forall ((Xs tptp.set_nat) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set Xs) X) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)))))))))
% 16.70/16.89 (assume a1449 (forall ((Xs tptp.set_nat) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) X) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))))))
% 16.70/16.89 (assume a1450 (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)))))
% 16.70/16.89 (assume a1451 (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)))))
% 16.70/16.89 (assume a1452 (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)))))
% 16.70/16.89 (assume a1453 (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)))))))
% 16.70/16.89 (assume a1454 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (= (tptp.vEBT_vebt_delete (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) X) (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))) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X)))) (and (=> (and (= X Mi) (= X Ma)) (= (tptp.vEBT_vebt_delete (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) X) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary))) (=> (not (and (= X Mi) (= X Ma))) (= (tptp.vEBT_vebt_delete (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) X) (tptp.if_VEBT_VEBT (tptp.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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (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.fequal_nat X) Mi)) (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 X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) Mi)) 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(tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)))))))))
% 16.70/16.89 (assume a1455 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)) X)) (=> (not (= X Mi)) (=> (not (= X Ma)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))))))
% 16.70/16.89 (assume a1456 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X) tptp.none_nat) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ao T) X)) tptp.bot_bot_set_nat)))))
% 16.70/16.89 (assume a1457 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X) tptp.none_nat) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ap T) X)) tptp.bot_bot_set_nat)))))
% 16.70/16.89 (assume a1458 (forall ((Mi tptp.nat) (Ma tptp.nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc V) TreeList Vc)) X)) (or (= X Mi) (= X Ma) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))))))))
% 16.70/16.89 (assume a1459 (forall ((Uy tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Node Uy (tptp.aa_nat_nat tptp.suc V) TreeList S3)) X)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 16.70/16.89 (assume a1460 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList Vd)) X)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 16.70/16.89 (assume a1461 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 16.70/16.89 (assume a1462 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 16.70/16.89 (assume a1463 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_pred X Xa2) Y) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X (tptp.vEBT_Leaf Uu2 Uv2))) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y tptp.none_nat)))) (=> (forall ((A3 tptp.bool)) (=> (exists ((Uw2 tptp.bool)) (= X (tptp.vEBT_Leaf A3 Uw2))) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (exists ((Va2 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)))) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))))))) (=> (=> (exists ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va3 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va3))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vd2 Ve))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Vh tptp.list_VEBT_VEBT) (Vi tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh Vi))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)) (= Y (tptp.some_nat Ma2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (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.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (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.vEBT_vebt_mint (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_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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_pred (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.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary2 (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.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) Xa2) (tptp.some_nat Mi2) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary2 (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.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_pred Summary2 (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.none_nat)))))))))))))))))
% 16.70/16.89 (assume a1464 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1465 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1466 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.70/16.89 (assume a1467 (forall ((A tptp.bool) (B tptp.bool)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1468 (forall ((T tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A4 tptp.bool) (B4 tptp.bool)) (= T (tptp.vEBT_Leaf A4 B4))))))
% 16.70/16.89 (assume a1469 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3))))))
% 16.70/16.89 (assume a1470 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= N tptp.one_one_nat) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3)))))))
% 16.70/16.89 (assume a1471 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima T) X))))))
% 16.70/16.89 (assume a1472 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member Tree) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima Tree) X)))))))
% 16.70/16.89 (assume a1473 (forall ((X21 tptp.bool) (X222 tptp.bool) (Y21 tptp.bool) (Y222 tptp.bool)) (= (= (tptp.vEBT_Leaf X21 X222) (tptp.vEBT_Leaf Y21 Y222)) (and (= (tptp.pp X21) (tptp.pp Y21)) (= (tptp.pp X222) (tptp.pp Y222))))))
% 16.70/16.89 (assume a1474 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat N) tptp.zero_z5237406670263579293d_enat)) (= N tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a1475 (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))))
% 16.70/16.89 (assume a1476 (forall ((N tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N))) (= N tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a1477 (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))))
% 16.70/16.89 (assume a1478 (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)))))
% 16.70/16.89 (assume a1479 (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)))))
% 16.70/16.89 (assume a1480 (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)))))
% 16.70/16.89 (assume a1481 (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)))))
% 16.70/16.89 (assume a1482 (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)))))
% 16.70/16.89 (assume a1483 (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)))))
% 16.70/16.89 (assume a1484 (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)))))
% 16.70/16.89 (assume a1485 (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)))))
% 16.70/16.89 (assume a1486 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat) (or (= A tptp.zero_z5237406670263579293d_enat) (= B tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1487 (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)))))
% 16.70/16.89 (assume a1488 (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)))))
% 16.70/16.89 (assume a1489 (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)))))
% 16.70/16.89 (assume a1490 (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)))))
% 16.70/16.89 (assume a1491 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1492 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1493 (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)))
% 16.70/16.89 (assume a1494 (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)))
% 16.70/16.89 (assume a1495 (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)))
% 16.70/16.89 (assume a1496 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat tptp.zero_z5237406670263579293d_enat) A) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1497 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1498 (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)))
% 16.70/16.89 (assume a1499 (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)))
% 16.70/16.89 (assume a1500 (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)))
% 16.70/16.89 (assume a1501 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.zero_z5237406670263579293d_enat) A) A)))
% 16.70/16.89 (assume a1502 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 16.70/16.89 (assume a1503 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.70/16.89 (assume a1504 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 16.70/16.89 (assume a1505 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.70/16.89 (assume a1506 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (= tptp.zero_z5237406670263579293d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y)) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1507 (forall ((X tptp.nat) (Y tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y)) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1508 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1509 (forall ((X tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1510 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (= B tptp.zero_zero_complex))))
% 16.70/16.89 (assume a1511 (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))))
% 16.70/16.89 (assume a1512 (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))))
% 16.70/16.89 (assume a1513 (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))))
% 16.70/16.89 (assume a1514 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.plus_plus_complex B) A)) (= B tptp.zero_zero_complex))))
% 16.70/16.89 (assume a1515 (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))))
% 16.70/16.89 (assume a1516 (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))))
% 16.70/16.89 (assume a1517 (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))))
% 16.70/16.89 (assume a1518 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) A) (= B tptp.zero_zero_complex))))
% 16.70/16.89 (assume a1519 (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))))
% 16.70/16.89 (assume a1520 (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))))
% 16.70/16.89 (assume a1521 (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))))
% 16.70/16.89 (assume a1522 (forall ((B tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) A) A) (= B tptp.zero_zero_complex))))
% 16.70/16.89 (assume a1523 (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))))
% 16.70/16.89 (assume a1524 (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))))
% 16.70/16.89 (assume a1525 (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))))
% 16.70/16.89 (assume a1526 (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))))
% 16.70/16.89 (assume a1527 (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))))
% 16.70/16.89 (assume a1528 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) tptp.zero_z5237406670263579293d_enat) A)))
% 16.70/16.89 (assume a1529 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 16.70/16.89 (assume a1530 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.70/16.89 (assume a1531 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.70/16.89 (assume a1532 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.70/16.89 (assume a1533 (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)))
% 16.70/16.89 (assume a1534 (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)))
% 16.70/16.89 (assume a1535 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.89 (assume a1536 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1537 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.89 (assume a1538 (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)))
% 16.70/16.89 (assume a1539 (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)))
% 16.70/16.89 (assume a1540 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 16.70/16.89 (assume a1541 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1542 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger tptp.zero_z3403309356797280102nteger A) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.89 (assume a1543 (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)))
% 16.70/16.89 (assume a1544 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.89 (assume a1545 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.89 (assume a1546 (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)))
% 16.70/16.89 (assume a1547 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 16.70/16.89 (assume a1548 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger tptp.zero_z3403309356797280102nteger A) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.89 (assume a1549 (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)))
% 16.70/16.89 (assume a1550 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1551 (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)))))
% 16.70/16.89 (assume a1552 (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)))))
% 16.70/16.89 (assume a1553 (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)))))
% 16.70/16.89 (assume a1554 (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)))))
% 16.70/16.89 (assume a1555 (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)))))
% 16.70/16.89 (assume a1556 (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)))))
% 16.70/16.89 (assume a1557 (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)))))
% 16.70/16.89 (assume a1558 (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)))))
% 16.70/16.89 (assume a1559 (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)))))
% 16.70/16.89 (assume a1560 (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))))
% 16.70/16.89 (assume a1561 (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))))
% 16.70/16.89 (assume a1562 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.zero_zero_nat) M)))
% 16.70/16.89 (assume a1563 (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)))))
% 16.70/16.89 (assume a1564 (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)))))
% 16.70/16.89 (assume a1565 (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)))))
% 16.70/16.89 (assume a1566 (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)))
% 16.70/16.89 (assume a1567 (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)))))
% 16.70/16.89 (assume a1568 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) M) tptp.zero_zero_nat)))
% 16.70/16.89 (assume a1569 (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)))
% 16.70/16.89 (assume a1570 (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)))))
% 16.70/16.89 (assume a1571 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) A) A)))
% 16.70/16.89 (assume a1572 (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)))))
% 16.70/16.89 (assume a1573 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) tptp.zero_zero_nat) A)))
% 16.70/16.89 (assume a1574 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) N) N)))
% 16.70/16.89 (assume a1575 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) tptp.zero_zero_nat) N)))
% 16.70/16.89 (assume a1576 (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)))))
% 16.70/16.89 (assume a1577 (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)))))
% 16.70/16.89 (assume a1578 (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)))))
% 16.70/16.89 (assume a1579 (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)))))
% 16.70/16.89 (assume a1580 (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)))))
% 16.70/16.89 (assume a1581 (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)))))
% 16.70/16.89 (assume a1582 (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)))))
% 16.70/16.89 (assume a1583 (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)))))
% 16.70/16.89 (assume a1584 (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)))))
% 16.70/16.89 (assume a1585 (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)))))
% 16.70/16.89 (assume a1586 (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)))))
% 16.70/16.89 (assume a1587 (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)))))
% 16.70/16.89 (assume a1588 (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)))))
% 16.70/16.89 (assume a1589 (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)))))
% 16.70/16.89 (assume a1590 (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)))))
% 16.70/16.89 (assume a1591 (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)))))
% 16.70/16.89 (assume a1592 (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)))))
% 16.70/16.89 (assume a1593 (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)))))
% 16.70/16.89 (assume a1594 (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)))))
% 16.70/16.89 (assume a1595 (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)))))
% 16.70/16.89 (assume a1596 (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)))))
% 16.70/16.89 (assume a1597 (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)))))
% 16.70/16.89 (assume a1598 (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)))))
% 16.70/16.89 (assume a1599 (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)))))
% 16.70/16.89 (assume a1600 (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)))))
% 16.70/16.89 (assume a1601 (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)))))
% 16.70/16.89 (assume a1602 (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)))))
% 16.70/16.89 (assume a1603 (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)))))
% 16.70/16.89 (assume a1604 (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)))))
% 16.70/16.89 (assume a1605 (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)))))
% 16.70/16.89 (assume a1606 (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)))))
% 16.70/16.89 (assume a1607 (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)))))
% 16.70/16.89 (assume a1608 (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)))))
% 16.70/16.89 (assume a1609 (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)))))
% 16.70/16.89 (assume a1610 (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)))))
% 16.70/16.89 (assume a1611 (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)))))
% 16.70/16.89 (assume a1612 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.70/16.89 (assume a1613 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.70/16.89 (assume a1614 (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)))))
% 16.70/16.89 (assume a1615 (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)))))
% 16.70/16.89 (assume a1616 (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)))))
% 16.70/16.89 (assume a1617 (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)))))
% 16.70/16.89 (assume a1618 (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)))))
% 16.70/16.89 (assume a1619 (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)))))
% 16.70/16.89 (assume a1620 (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)))))
% 16.70/16.89 (assume a1621 (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)))))
% 16.70/16.89 (assume a1622 (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)))))
% 16.70/16.89 (assume a1623 (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)))))
% 16.70/16.89 (assume a1624 (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)))))
% 16.70/16.89 (assume a1625 (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)))))
% 16.70/16.89 (assume a1626 (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))))
% 16.70/16.89 (assume a1627 (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))))
% 16.70/16.89 (assume a1628 (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))))
% 16.70/16.89 (assume a1629 (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))))
% 16.70/16.89 (assume a1630 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) B) A))))
% 16.70/16.89 (assume a1631 (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))))
% 16.70/16.89 (assume a1632 (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))))
% 16.70/16.89 (assume a1633 (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))))
% 16.70/16.89 (assume a1634 (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))))
% 16.70/16.89 (assume a1635 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) A) B))))
% 16.70/16.89 (assume a1636 (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))))))
% 16.70/16.89 (assume a1637 (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))))))
% 16.70/16.89 (assume a1638 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (and (=> (= C tptp.zero_z3403309356797280102nteger) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B)) tptp.zero_z3403309356797280102nteger)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B)) (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.89 (assume a1639 (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)))))
% 16.70/16.89 (assume a1640 (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)))))
% 16.70/16.89 (assume a1641 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.divide6298287555418463151nteger A B)))))
% 16.70/16.89 (assume a1642 (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)))))
% 16.70/16.89 (assume a1643 (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)))))
% 16.70/16.89 (assume a1644 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B)) (tptp.divide6298287555418463151nteger A B)))))
% 16.70/16.89 (assume a1645 (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)))))
% 16.70/16.89 (assume a1646 (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)))))
% 16.70/16.89 (assume a1647 (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)))))
% 16.70/16.89 (assume a1648 (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)))))
% 16.70/16.89 (assume a1649 (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)))))
% 16.70/16.89 (assume a1650 (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)))))
% 16.70/16.89 (assume a1651 (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)))))
% 16.70/16.89 (assume a1652 (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)))))
% 16.70/16.89 (assume a1653 (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))))))
% 16.70/16.89 (assume a1654 (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))))))
% 16.70/16.89 (assume a1655 (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)))
% 16.70/16.89 (assume a1656 (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) tptp.one_one_complex) tptp.zero_zero_complex))
% 16.70/16.89 (assume a1657 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real))
% 16.70/16.89 (assume a1658 (= (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))
% 16.70/16.89 (assume a1659 (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))))
% 16.70/16.89 (assume a1660 (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))))
% 16.70/16.89 (assume a1661 (forall ((A tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) A) tptp.one_one_int))))
% 16.70/16.89 (assume a1662 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 16.70/16.89 (assume a1663 (forall ((A tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger A A) tptp.one_one_Code_integer))))
% 16.70/16.89 (assume a1664 (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))))
% 16.70/16.89 (assume a1665 (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))))
% 16.70/16.89 (assume a1666 (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)))))
% 16.70/16.89 (assume a1667 (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)))))
% 16.70/16.89 (assume a1668 (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)))))
% 16.70/16.89 (assume a1669 (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)))))
% 16.70/16.89 (assume a1670 (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))))
% 16.70/16.89 (assume a1671 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 16.70/16.89 (assume a1672 (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)))))
% 16.70/16.89 (assume a1673 (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)))))
% 16.70/16.89 (assume a1674 (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)))))
% 16.70/16.89 (assume a1675 (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)))))
% 16.70/16.89 (assume a1676 (forall ((N tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1677 (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)))
% 16.70/16.89 (assume a1678 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real)))
% 16.70/16.89 (assume a1679 (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)))
% 16.70/16.89 (assume a1680 (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)))
% 16.70/16.89 (assume a1681 (forall ((K tptp.num)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1682 (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)))
% 16.70/16.89 (assume a1683 (forall ((K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_real)))
% 16.70/16.89 (assume a1684 (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)))
% 16.70/16.89 (assume a1685 (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)))
% 16.70/16.89 (assume a1686 (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)))
% 16.70/16.89 (assume a1687 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.70/16.89 (assume a1688 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.70/16.89 (assume a1689 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.70/16.89 (assume a1690 (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))))
% 16.70/16.89 (assume a1691 (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)))))
% 16.70/16.89 (assume a1692 (forall ((X tptp.num)) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger X) tptp.zero_z3403309356797280102nteger) (tptp.numera6620942414471956472nteger X))))
% 16.70/16.89 (assume a1693 (forall ((X tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X))))
% 16.70/16.89 (assume a1694 (forall ((X tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real X))))
% 16.70/16.89 (assume a1695 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X))))
% 16.70/16.89 (assume a1696 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int X))))
% 16.70/16.89 (assume a1697 (forall ((X tptp.num)) (= (tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger X)) (tptp.numera6620942414471956472nteger X))))
% 16.70/16.89 (assume a1698 (forall ((X tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X))))
% 16.70/16.89 (assume a1699 (forall ((X 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 X)) (tptp.aa_num_real tptp.numeral_numeral_real X))))
% 16.70/16.89 (assume a1700 (forall ((X 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 X)) (tptp.aa_num_nat tptp.numeral_numeral_nat X))))
% 16.70/16.89 (assume a1701 (forall ((X 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 X)) (tptp.aa_num_int tptp.numeral_numeral_int X))))
% 16.70/16.89 (assume a1702 (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))))))
% 16.70/16.89 (assume a1703 (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))))))
% 16.70/16.89 (assume a1704 (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))))))
% 16.70/16.89 (assume a1705 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.zero_zero_real) tptp.one_one_real) tptp.one_one_real))
% 16.70/16.89 (assume a1706 (= (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))
% 16.70/16.89 (assume a1707 (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat))
% 16.70/16.89 (assume a1708 (= (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))
% 16.70/16.89 (assume a1709 (= (tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 16.70/16.89 (assume a1710 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real tptp.one_one_real) tptp.zero_zero_real) tptp.one_one_real))
% 16.70/16.89 (assume a1711 (= (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))
% 16.70/16.89 (assume a1712 (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat))
% 16.70/16.89 (assume a1713 (= (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))
% 16.70/16.89 (assume a1714 (= (tptp.ord_max_Code_integer tptp.one_one_Code_integer tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer))
% 16.70/16.89 (assume a1715 (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)))
% 16.70/16.89 (assume a1716 (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))))))
% 16.70/16.89 (assume a1717 (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))))))
% 16.70/16.89 (assume a1718 (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))))))
% 16.70/16.89 (assume a1719 (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))))
% 16.70/16.89 (assume a1720 (forall ((X tptp.nat) (M tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (= M tptp.zero_zero_nat) (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.70/16.89 (assume a1721 (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)))))
% 16.70/16.89 (assume a1722 (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))))
% 16.70/16.89 (assume a1723 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1724 (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))))
% 16.70/16.89 (assume a1725 (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)))))
% 16.70/16.89 (assume a1726 (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))))
% 16.70/16.89 (assume a1727 (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))))))
% 16.70/16.89 (assume a1728 (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)))))
% 16.70/16.89 (assume a1729 (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)))))
% 16.70/16.89 (assume a1730 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)) B)) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.70/16.89 (assume a1731 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W))) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)) B)) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.70/16.89 (assume a1732 (forall ((B tptp.real) (W 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 W)) A) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) 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 W)))) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.70/16.89 (assume a1733 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W)) A) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)))) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.70/16.89 (assume a1734 (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)))))
% 16.70/16.89 (assume a1735 (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))))))
% 16.70/16.89 (assume a1736 (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))))))
% 16.70/16.89 (assume a1737 (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))))))
% 16.70/16.89 (assume a1738 (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))))))
% 16.70/16.89 (assume a1739 (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)))))
% 16.70/16.89 (assume a1740 (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))))))
% 16.70/16.89 (assume a1741 (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))))))
% 16.70/16.89 (assume a1742 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C) A) B) (tptp.plus_p5714425477246183910nteger C (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.89 (assume a1743 (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))))))
% 16.70/16.89 (assume a1744 (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))))))
% 16.70/16.89 (assume a1745 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B) A) B) (tptp.plus_p5714425477246183910nteger C (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.89 (assume a1746 (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))))))
% 16.70/16.89 (assume a1747 (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))))))
% 16.70/16.89 (assume a1748 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) B) (tptp.plus_p5714425477246183910nteger C (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.89 (assume a1749 (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))))))
% 16.70/16.89 (assume a1750 (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))))))
% 16.70/16.89 (assume a1751 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B)) B) (tptp.plus_p5714425477246183910nteger C (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.89 (assume a1752 (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)))))
% 16.70/16.89 (assume a1753 (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)))))
% 16.70/16.89 (assume a1754 (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)))))
% 16.70/16.89 (assume a1755 (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)))))
% 16.70/16.89 (assume a1756 (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))))))
% 16.70/16.89 (assume a1757 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) tptp.zero_zero_real) (and (= A tptp.zero_zero_real) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.70/16.89 (assume a1758 (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))))))
% 16.70/16.89 (assume a1759 (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))))))
% 16.70/16.89 (assume a1760 (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))))
% 16.70/16.89 (assume a1761 (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))))))
% 16.70/16.89 (assume a1762 (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))))))
% 16.70/16.89 (assume a1763 (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))))))
% 16.70/16.89 (assume a1764 (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))))
% 16.70/16.89 (assume a1765 (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))))
% 16.70/16.89 (assume a1766 (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))))))
% 16.70/16.89 (assume a1767 (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))))))
% 16.70/16.89 (assume a1768 (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))))))
% 16.70/16.89 (assume a1769 (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))))))
% 16.70/16.89 (assume a1770 (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.aa_real_fun_nat_real tptp.power_power_real B) M)) (tptp.aa_nat_real (tptp.aa_real_fun_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)))))))
% 16.70/16.89 (assume a1771 (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)))))))
% 16.70/16.89 (assume a1772 (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)))))))
% 16.70/16.89 (assume a1773 (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))))
% 16.70/16.89 (assume a1774 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 16.70/16.89 (assume a1775 (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))))
% 16.70/16.89 (assume a1776 (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))))
% 16.70/16.89 (assume a1777 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))))
% 16.70/16.89 (assume a1778 (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))))))))
% 16.70/16.89 (assume a1779 (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))))))))
% 16.70/16.89 (assume a1780 (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))))
% 16.70/16.89 (assume a1781 (= (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))
% 16.70/16.89 (assume a1782 (= (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))
% 16.70/16.89 (assume a1783 (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 16.70/16.89 (assume a1784 (= (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))
% 16.70/16.89 (assume a1785 (= (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))
% 16.70/16.89 (assume a1786 (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))
% 16.70/16.89 (assume a1787 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 16.70/16.89 (assume a1788 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 16.70/16.89 (assume a1789 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 16.70/16.89 (assume a1790 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 16.70/16.89 (assume a1791 (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))))
% 16.70/16.89 (assume a1792 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_real)))))
% 16.70/16.89 (assume a1793 (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)))))
% 16.70/16.89 (assume a1794 (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.aa_real_fun_nat_real tptp.power_power_real B) M)) (tptp.aa_nat_real (tptp.aa_real_fun_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)))))))
% 16.70/16.89 (assume a1795 (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)))))))
% 16.70/16.89 (assume a1796 (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)))))))
% 16.70/16.89 (assume a1797 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.70/16.89 (assume a1798 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.70/16.89 (assume a1799 (forall ((A tptp.bool) (B tptp.bool) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Leaf A B)) X)) (and (=> (= X tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (tptp.pp B)) (= X tptp.one_one_nat)))))))
% 16.70/16.89 (assume a1800 (forall ((Uu tptp.bool) (Uv tptp.bool) (Uw tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Leaf Uu Uv)) Uw)))))
% 16.70/16.89 (assume a1801 (forall ((A tptp.bool) (B tptp.bool)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Leaf A B) tptp.zero_zero_nat) (tptp.vEBT_Leaf tptp.fFalse B))))
% 16.70/16.89 (assume a1802 (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)))
% 16.70/16.89 (assume a1803 (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.vEBT_V5719532721284313246member (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)) Ux)))))
% 16.70/16.89 (assume a1804 (forall ((Uu tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf Uu tptp.fTrue))))))
% 16.70/16.89 (assume a1805 (forall ((Uv tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fTrue Uv))))))
% 16.70/16.89 (assume a1806 (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))))
% 16.70/16.89 (assume a1807 (forall ((A tptp.bool) (B tptp.bool)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf A tptp.fFalse))))
% 16.70/16.89 (assume a1808 (forall ((A tptp.bool) (B tptp.bool) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Leaf A B)) X)) (and (=> (= X tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (tptp.pp B)) (= X tptp.one_one_nat)))))))
% 16.70/16.89 (assume a1809 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X (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 (= X (tptp.produc738532404422230701BT_nat (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) (S2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2) X4)))))))))
% 16.70/16.89 (assume a1810 (forall ((A tptp.bool) (B tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1811 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.one_on7984719198319812577d_enat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1812 (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)))))
% 16.70/16.89 (assume a1813 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a1814 (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)))))
% 16.70/16.89 (assume a1815 (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)))))
% 16.70/16.89 (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_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (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_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat))))
% 16.70/16.89 (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_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real))))
% 16.70/16.89 (assume a1819 (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))))
% 16.70/16.89 (assume a1820 (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))))
% 16.70/16.89 (assume a1821 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT) (X21 tptp.bool) (X222 tptp.bool)) (not (= (tptp.vEBT_Node X11 X12 X13 X14) (tptp.vEBT_Leaf X21 X222)))))
% 16.70/16.89 (assume a1822 (forall ((Y tptp.vEBT_VEBT)) (=> (forall ((X112 tptp.option4927543243414619207at_nat) (X122 tptp.nat) (X132 tptp.list_VEBT_VEBT) (X142 tptp.vEBT_VEBT)) (not (= Y (tptp.vEBT_Node X112 X122 X132 X142)))) (not (forall ((X212 tptp.bool) (X223 tptp.bool)) (not (= Y (tptp.vEBT_Leaf X212 X223))))))))
% 16.70/16.89 (assume a1823 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (D2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) D2)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (Deg3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Deg3))))))))
% 16.70/16.89 (assume a1824 (forall ((X tptp.nat) (A tptp.bool) (B tptp.bool)) (and (=> (= X tptp.zero_zero_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X) (tptp.vEBT_Leaf tptp.fTrue B))) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X) (tptp.vEBT_Leaf A tptp.fTrue))) (=> (not (= X tptp.one_one_nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X) (tptp.vEBT_Leaf A B))))))))
% 16.70/16.89 (assume a1825 (forall ((Uu tptp.bool) (Uv tptp.bool)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf Uu Uv) tptp.zero_zero_nat) tptp.none_nat)))
% 16.70/16.89 (assume a1826 (forall ((X tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) X))))
% 16.70/16.89 (assume a1827 (forall ((X tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X))))
% 16.70/16.89 (assume a1828 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1829 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)))
% 16.70/16.89 (assume a1830 (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)))
% 16.70/16.89 (assume a1831 (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)))
% 16.70/16.89 (assume a1832 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)) (not (= N tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1833 (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)))))
% 16.70/16.89 (assume a1834 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat M) N)) (not (= N tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1835 (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)))))
% 16.70/16.89 (assume a1836 (forall ((N tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat N) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1837 (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)))))
% 16.70/16.89 (assume a1838 (forall ((N tptp.extended_enat)) (=> (not (= N tptp.zero_z5237406670263579293d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)))))
% 16.70/16.89 (assume a1839 (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)))))
% 16.70/16.89 (assume a1840 (forall ((D1 tptp.real) (D22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D22)) (exists ((E2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E2) D1)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E2) D22))))))))
% 16.70/16.89 (assume a1841 (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a1842 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.zero_zero_real))))
% 16.70/16.89 (assume a1843 (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))))
% 16.70/16.89 (assume a1844 (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))))
% 16.70/16.89 (assume a1845 (forall ((N tptp.num)) (not (= tptp.zero_z5237406670263579293d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.89 (assume a1846 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.numera6690914467698888265omplex N)))))
% 16.70/16.89 (assume a1847 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.70/16.89 (assume a1848 (forall ((N tptp.num)) (not (= tptp.zero_zero_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.70/16.89 (assume a1849 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.70/16.89 (assume a1850 (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)))))
% 16.70/16.89 (assume a1851 (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)))))
% 16.70/16.89 (assume a1852 (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)))))
% 16.70/16.89 (assume a1853 (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)))))
% 16.70/16.89 (assume a1854 (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)))))
% 16.70/16.89 (assume a1855 (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)))))
% 16.70/16.89 (assume a1856 (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)))))
% 16.70/16.89 (assume a1857 (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)))))
% 16.70/16.89 (assume a1858 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (not (= A tptp.zero_z5237406670263579293d_enat)) (=> (not (= B tptp.zero_z5237406670263579293d_enat)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a1859 (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))))))
% 16.70/16.89 (assume a1860 (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))))))
% 16.70/16.89 (assume a1861 (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))))))
% 16.70/16.89 (assume a1862 (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))))))
% 16.70/16.89 (assume a1863 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat) (or (= A tptp.zero_z5237406670263579293d_enat) (= B tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1864 (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)))))
% 16.70/16.89 (assume a1865 (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)))))
% 16.70/16.89 (assume a1866 (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)))))
% 16.70/16.89 (assume a1867 (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)))))
% 16.70/16.89 (assume a1868 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) B) tptp.zero_z5237406670263579293d_enat)) (and (not (= A tptp.zero_z5237406670263579293d_enat)) (not (= B tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a1869 (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))))))
% 16.70/16.89 (assume a1870 (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))))))
% 16.70/16.89 (assume a1871 (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))))))
% 16.70/16.89 (assume a1872 (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))))))
% 16.70/16.89 (assume a1873 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 16.70/16.89 (assume a1874 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.70/16.89 (assume a1875 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.70/16.89 (assume a1876 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) tptp.zero_z5237406670263579293d_enat) A)))
% 16.70/16.89 (assume a1877 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 16.70/16.89 (assume a1878 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.70/16.89 (assume a1879 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.70/16.89 (assume a1880 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.70/16.89 (assume a1881 (forall ((A tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.zero_z5237406670263579293d_enat) A) A)))
% 16.70/16.89 (assume a1882 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.zero_zero_complex) A) A)))
% 16.70/16.89 (assume a1883 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.70/16.89 (assume a1884 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 16.70/16.89 (assume a1885 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.70/16.89 (assume a1886 (not (= tptp.zero_z5237406670263579293d_enat tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a1887 (not (= tptp.zero_zero_complex tptp.one_one_complex)))
% 16.70/16.89 (assume a1888 (not (= tptp.zero_zero_real tptp.one_one_real)))
% 16.70/16.89 (assume a1889 (not (= tptp.zero_zero_nat tptp.one_one_nat)))
% 16.70/16.89 (assume a1890 (not (= tptp.zero_zero_int tptp.one_one_int)))
% 16.70/16.89 (assume a1891 (forall ((Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT) (Uz tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy)) Uz)))))
% 16.70/16.89 (assume a1892 (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)))))
% 16.70/16.89 (assume a1893 (forall ((A tptp.real) (N tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a1894 (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)))))
% 16.70/16.89 (assume a1895 (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)))))
% 16.70/16.89 (assume a1896 (= (tptp.aa_num_nat tptp.size_size_num tptp.one) tptp.zero_zero_nat))
% 16.70/16.89 (assume a1897 (forall ((X22 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc X22)))))
% 16.70/16.89 (assume a1898 (forall ((Nat2 tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc Nat2) tptp.zero_zero_nat))))
% 16.70/16.89 (assume a1899 (forall ((Nat2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc Nat2)))))
% 16.70/16.89 (assume a1900 (forall ((Nat tptp.nat) (X22 tptp.nat)) (=> (= Nat (tptp.aa_nat_nat tptp.suc X22)) (not (= Nat tptp.zero_zero_nat)))))
% 16.70/16.89 (assume a1901 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat3 tptp.nat)) (not (= Y (tptp.aa_nat_nat tptp.suc Nat3))))))))
% 16.70/16.89 (assume a1902 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (=> (not (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (not (forall ((Va2 tptp.nat)) (not (= X (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))))))))))
% 16.70/16.89 (assume a1903 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 16.70/16.89 (assume a1904 (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 ((Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc Y3)))) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N)))))))
% 16.70/16.89 (assume a1905 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))))))
% 16.70/16.89 (assume a1906 (forall ((M tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc M) tptp.zero_zero_nat))))
% 16.70/16.89 (assume a1907 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 16.70/16.89 (assume a1908 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 16.70/16.89 (assume a1909 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M5 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M5))))))
% 16.70/16.89 (assume a1910 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (not (tptp.pp (tptp.aa_nat_bool P N3))) (exists ((M2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N3)) (not (tptp.pp (tptp.aa_nat_bool P M2)))))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 16.70/16.89 (assume a1911 (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)))))
% 16.70/16.89 (assume a1912 (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)))))
% 16.70/16.89 (assume a1913 (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)))))
% 16.70/16.89 (assume a1914 (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))))
% 16.70/16.89 (assume a1915 (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)))))
% 16.70/16.89 (assume a1916 (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)))))
% 16.70/16.89 (assume a1917 (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))))
% 16.70/16.89 (assume a1918 (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))))
% 16.70/16.89 (assume a1919 (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))))
% 16.70/16.89 (assume a1920 (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))))
% 16.70/16.89 (assume a1921 (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))))
% 16.70/16.89 (assume a1922 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)))
% 16.70/16.89 (assume a1923 (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)))))
% 16.70/16.89 (assume a1924 (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)))
% 16.70/16.89 (assume a1925 (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)))))
% 16.70/16.89 (assume a1926 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.zero_zero_nat) M)))
% 16.70/16.89 (assume a1927 (forall ((A tptp.bool) (B tptp.bool) (N tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N))) (tptp.vEBT_Leaf A B))))
% 16.70/16.89 (assume a1928 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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)))))))
% 16.70/16.89 (assume a1929 (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)))))))
% 16.70/16.89 (assume a1930 (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)))))))
% 16.70/16.89 (assume a1931 (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.aa_real_fun_nat_real tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)) (= A B)))))))
% 16.70/16.89 (assume a1932 (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)))))))
% 16.70/16.89 (assume a1933 (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)))))))
% 16.70/16.89 (assume a1934 (= tptp.aTP_Lamm_aq (tptp.times_7803423173614009249d_enat tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a1935 (= tptp.aTP_Lamm_ar (tptp.times_times_complex tptp.zero_zero_complex)))
% 16.70/16.89 (assume a1936 (= tptp.aTP_Lamm_as (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.zero_zero_real)))
% 16.70/16.89 (assume a1937 (= tptp.aTP_Lamm_at (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat)))
% 16.70/16.89 (assume a1938 (= tptp.aTP_Lamm_au (tptp.aa_int_fun_int_int tptp.times_times_int tptp.zero_zero_int)))
% 16.70/16.89 (assume a1939 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.list_VEBT_VEBT) (Vb tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat Va Vb)) X)) (or (= X Mi) (= X Ma)))))
% 16.70/16.89 (assume a1940 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N))))))))
% 16.70/16.89 (assume a1941 (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))))))))
% 16.70/16.89 (assume a1942 (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))))))))
% 16.70/16.89 (assume a1943 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) tptp.zero_zero_nat)))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (N3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N3)))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (Uu2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2) Uu2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst tptp.list_VEBT_VEBT) (Smry tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry) X4)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr tptp.list_VEBT_VEBT) (Sm tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm) 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 (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) X4)))))))))))))
% 16.70/16.89 (assume a1944 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X (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 (= X (tptp.produc738532404422230701BT_nat (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 (= X (tptp.produc738532404422230701BT_nat (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 (= X (tptp.produc738532404422230701BT_nat (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 (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) X4)))))))))))
% 16.70/16.89 (assume a1945 (forall ((X tptp.vEBT_VEBT)) (=> (not (= X (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))) (=> (forall ((Uv2 tptp.bool)) (not (= X (tptp.vEBT_Leaf tptp.fTrue Uv2)))) (=> (forall ((Uu2 tptp.bool)) (not (= X (tptp.vEBT_Leaf Uu2 tptp.fTrue)))) (=> (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2)))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va3 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2)))))))))))
% 16.70/16.89 (assume a1946 (forall ((A tptp.bool) (B tptp.bool)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) tptp.none_nat)))))))
% 16.70/16.89 (assume a1947 (forall ((B tptp.bool) (A tptp.bool)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) tptp.none_nat)))))))
% 16.70/16.89 (assume a1948 (forall ((A tptp.bool) (Uw tptp.bool)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A Uw) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A Uw) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.none_nat)))))
% 16.70/16.89 (assume a1949 (forall ((X tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X))) (=> (forall ((Uv2 tptp.bool)) (not (= X (tptp.vEBT_Leaf tptp.fTrue Uv2)))) (=> (forall ((Uu2 tptp.bool)) (not (= X (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 (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2))))))))))
% 16.70/16.89 (assume a1950 (forall ((B tptp.bool) (Uu tptp.bool)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu B) tptp.zero_zero_nat) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu B) tptp.zero_zero_nat) tptp.none_nat)))))
% 16.70/16.89 (assume a1951 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a1952 (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)))))
% 16.70/16.89 (assume a1953 (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)))))
% 16.70/16.89 (assume a1954 (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)))))
% 16.70/16.89 (assume a1955 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.89 (assume a1956 (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)))))
% 16.70/16.89 (assume a1957 (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)))))
% 16.70/16.89 (assume a1958 (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)))))
% 16.70/16.89 (assume a1959 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat C) A)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat C) B)))))))
% 16.70/16.89 (assume a1960 (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)))))))
% 16.70/16.89 (assume a1961 (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)))))))
% 16.70/16.89 (assume a1962 (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)))))))
% 16.70/16.89 (assume a1963 (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)))))))
% 16.70/16.89 (assume a1964 (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)))))))
% 16.70/16.89 (assume a1965 (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))))))
% 16.70/16.89 (assume a1966 (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))))))
% 16.70/16.89 (assume a1967 (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))))))
% 16.70/16.89 (assume a1968 (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))))))
% 16.70/16.89 (assume a1969 (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))))))
% 16.70/16.89 (assume a1970 (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))))))
% 16.70/16.89 (assume a1971 (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))))))
% 16.70/16.89 (assume a1972 (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))))))
% 16.70/16.89 (assume a1973 (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))))))
% 16.70/16.89 (assume a1974 (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)))))))
% 16.70/16.89 (assume a1975 (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)))))))
% 16.70/16.89 (assume a1976 (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)))))))
% 16.70/16.89 (assume a1977 (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)))))
% 16.70/16.89 (assume a1978 (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)))))
% 16.70/16.89 (assume a1979 (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)))))
% 16.70/16.89 (assume a1980 (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)))))))
% 16.70/16.89 (assume a1981 (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)))))))
% 16.70/16.89 (assume a1982 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat B) C)))))))
% 16.70/16.89 (assume a1983 (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)))))))
% 16.70/16.89 (assume a1984 (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)))))))
% 16.70/16.89 (assume a1985 (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)))))))
% 16.70/16.89 (assume a1986 (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)))))))
% 16.70/16.89 (assume a1987 (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)))))))
% 16.70/16.89 (assume a1988 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat C) A)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat C) B)))))))
% 16.70/16.89 (assume a1989 (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)))))))
% 16.70/16.89 (assume a1990 (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)))))))
% 16.70/16.89 (assume a1991 (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)))))))
% 16.70/16.89 (assume a1992 (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)))))))
% 16.70/16.89 (assume a1993 (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)))))))
% 16.70/16.89 (assume a1994 (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)))))))
% 16.70/16.89 (assume a1995 (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)))))))
% 16.70/16.89 (assume a1996 (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))))))
% 16.70/16.89 (assume a1997 (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))))))
% 16.70/16.89 (assume a1998 (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)))))
% 16.70/16.89 (assume a1999 (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)))))
% 16.70/16.89 (assume a2000 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) D)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat B) D)))))))))
% 16.70/16.89 (assume a2001 (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)))))))))
% 16.70/16.89 (assume a2002 (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)))))))))
% 16.70/16.89 (assume a2003 (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)))))))))
% 16.70/16.89 (assume a2004 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) D)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) C)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat B) D)))))))))
% 16.70/16.89 (assume a2005 (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)))))))))
% 16.70/16.89 (assume a2006 (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)))))))))
% 16.70/16.89 (assume a2007 (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)))))))))
% 16.70/16.89 (assume a2008 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a2009 (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)))))
% 16.70/16.89 (assume a2010 (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)))))
% 16.70/16.89 (assume a2011 (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)))))
% 16.70/16.89 (assume a2012 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)))))
% 16.70/16.89 (assume a2013 (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)))))
% 16.70/16.89 (assume a2014 (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)))))
% 16.70/16.89 (assume a2015 (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)))))
% 16.70/16.89 (assume a2016 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) tptp.zero_z5237406670263579293d_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.89 (assume a2017 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 16.70/16.89 (assume a2018 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) tptp.zero_zero_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 16.70/16.89 (assume a2019 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.zero_zero_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 16.70/16.89 (assume a2020 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) X)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) Y)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X) Y) tptp.zero_z5237406670263579293d_enat) (and (= X tptp.zero_z5237406670263579293d_enat) (= Y tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.89 (assume a2021 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 16.70/16.89 (assume a2022 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 16.70/16.89 (assume a2023 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 16.70/16.89 (assume a2024 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) tptp.zero_z5237406670263579293d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a2025 (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))))))
% 16.70/16.89 (assume a2026 (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))))))
% 16.70/16.89 (assume a2027 (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))))))
% 16.70/16.89 (assume a2028 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)))))))
% 16.70/16.89 (assume a2029 (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)))))))
% 16.70/16.89 (assume a2030 (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)))))))
% 16.70/16.89 (assume a2031 (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)))))))
% 16.70/16.89 (assume a2032 (forall ((C tptp.extended_enat) (B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) C)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)))))))
% 16.70/16.89 (assume a2033 (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)))))))
% 16.70/16.89 (assume a2034 (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)))))))
% 16.70/16.89 (assume a2035 (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)))))))
% 16.70/16.89 (assume a2036 (forall ((C tptp.extended_enat) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)) B))))))
% 16.70/16.89 (assume a2037 (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))))))
% 16.70/16.89 (assume a2038 (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))))))
% 16.70/16.89 (assume a2039 (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))))))
% 16.70/16.89 (assume a2040 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)))))))
% 16.70/16.89 (assume a2041 (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)))))))
% 16.70/16.89 (assume a2042 (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)))))))
% 16.70/16.89 (assume a2043 (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)))))))
% 16.70/16.89 (assume a2044 (forall ((A tptp.extended_enat) (C tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)) B))))))
% 16.70/16.89 (assume a2045 (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))))))
% 16.70/16.89 (assume a2046 (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))))))
% 16.70/16.89 (assume a2047 (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))))))
% 16.70/16.89 (assume a2048 (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a2049 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real))))
% 16.70/16.89 (assume a2050 (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))))
% 16.70/16.89 (assume a2051 (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))))
% 16.70/16.89 (assume a2052 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a2053 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.70/16.89 (assume a2054 (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)))
% 16.70/16.89 (assume a2055 (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)))
% 16.70/16.89 (assume a2056 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a2057 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.70/16.89 (assume a2058 (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)))
% 16.70/16.89 (assume a2059 (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)))
% 16.70/16.89 (assume a2060 (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)))))))
% 16.70/16.89 (assume a2061 (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)))))))
% 16.70/16.89 (assume a2062 (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)))))))
% 16.70/16.89 (assume a2063 (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)))))))
% 16.70/16.89 (assume a2064 (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)))))))
% 16.70/16.89 (assume a2065 (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)))))))
% 16.70/16.89 (assume a2066 (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)))))))
% 16.70/16.89 (assume a2067 (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)))))))
% 16.70/16.89 (assume a2068 (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)))))))
% 16.70/16.89 (assume a2069 (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)))))))
% 16.70/16.89 (assume a2070 (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)))))))
% 16.70/16.89 (assume a2071 (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)))))))
% 16.70/16.89 (assume a2072 (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)))))))
% 16.70/16.89 (assume a2073 (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)))))))
% 16.70/16.89 (assume a2074 (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)))))))
% 16.70/16.89 (assume a2075 (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)))))))
% 16.70/16.89 (assume a2076 (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)))))))
% 16.70/16.89 (assume a2077 (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))))))
% 16.70/16.89 (assume a2078 (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))))))
% 16.70/16.89 (assume a2079 (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))))))
% 16.70/16.89 (assume a2080 (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))))))
% 16.70/16.89 (assume a2081 (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))))))
% 16.70/16.89 (assume a2082 (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))))))
% 16.70/16.89 (assume a2083 (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))))))
% 16.70/16.89 (assume a2084 (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))))))
% 16.70/16.89 (assume a2085 (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))))))
% 16.70/16.89 (assume a2086 (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))))))
% 16.70/16.89 (assume a2087 (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)))))))
% 16.70/16.89 (assume a2088 (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)))))))
% 16.70/16.89 (assume a2089 (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))))))
% 16.70/16.89 (assume a2090 (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))))))
% 16.70/16.89 (assume a2091 (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))))))
% 16.70/16.89 (assume a2092 (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)))))))
% 16.70/16.89 (assume a2093 (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)))))))
% 16.70/16.89 (assume a2094 (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)))))))
% 16.70/16.89 (assume a2095 (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))))))
% 16.70/16.89 (assume a2096 (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))))))
% 16.70/16.89 (assume a2097 (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))))))
% 16.70/16.89 (assume a2098 (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))))))
% 16.70/16.89 (assume a2099 (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))))))
% 16.70/16.89 (assume a2100 (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))))))
% 16.70/16.89 (assume a2101 (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)))))))
% 16.70/16.89 (assume a2102 (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)))))))
% 16.70/16.89 (assume a2103 (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)))))
% 16.70/16.89 (assume a2104 (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)))))
% 16.70/16.89 (assume a2105 (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)))))))
% 16.70/16.89 (assume a2106 (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)))))))
% 16.70/16.89 (assume a2107 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C)))))))
% 16.70/16.89 (assume a2108 (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)))))))
% 16.70/16.89 (assume a2109 (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)))))))
% 16.70/16.89 (assume a2110 (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)))))))
% 16.70/16.89 (assume a2111 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (not (forall ((C3 tptp.extended_enat)) (=> (= B (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) C3)) (= C3 tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.89 (assume a2112 (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)))))))
% 16.70/16.89 (assume a2113 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)))))))
% 16.70/16.89 (assume a2114 (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)))))))
% 16.70/16.89 (assume a2115 (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)))))))
% 16.70/16.89 (assume a2116 (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)))))))
% 16.70/16.89 (assume a2117 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) tptp.zero_z5237406670263579293d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a2118 (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))))))
% 16.70/16.89 (assume a2119 (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))))))
% 16.70/16.89 (assume a2120 (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))))))
% 16.70/16.89 (assume a2121 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2122 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) tptp.zero_zero_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) tptp.zero_zero_int))))))
% 16.70/16.89 (assume a2123 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X)) (=> (not (= X (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))) (not (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2)))))))))
% 16.70/16.89 (assume a2124 (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.one_on7984719198319812577d_enat) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a2125 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.zero_zero_real))))
% 16.70/16.89 (assume a2126 (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))))
% 16.70/16.89 (assume a2127 (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))))
% 16.70/16.89 (assume a2128 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a2129 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.70/16.89 (assume a2130 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 16.70/16.89 (assume a2131 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 16.70/16.89 (assume a2132 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a2133 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.70/16.89 (assume a2134 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 16.70/16.89 (assume a2135 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 16.70/16.89 (assume a2136 (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)))))
% 16.70/16.89 (assume a2137 (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)))))
% 16.70/16.89 (assume a2138 (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)))))))
% 16.70/16.89 (assume a2139 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2140 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2141 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2142 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2143 (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)))))))
% 16.70/16.89 (assume a2144 (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)))))))
% 16.70/16.89 (assume a2145 (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)))))))
% 16.70/16.89 (assume a2146 (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)))))
% 16.70/16.89 (assume a2147 (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)))))
% 16.70/16.89 (assume a2148 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.89 (assume a2149 (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))))))
% 16.70/16.89 (assume a2150 (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))))))
% 16.70/16.89 (assume a2151 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)))))))
% 16.70/16.89 (assume a2152 (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)))))))
% 16.70/16.89 (assume a2153 (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)))))))
% 16.70/16.89 (assume a2154 (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)))))))
% 16.70/16.89 (assume a2155 (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)))))))
% 16.70/16.89 (assume a2156 (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)))))))
% 16.70/16.89 (assume a2157 (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))))))
% 16.70/16.89 (assume a2158 (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)))))))
% 16.70/16.89 (assume a2159 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2160 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2161 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2162 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2163 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.89 (assume a2164 (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))))))
% 16.70/16.89 (assume a2165 (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))))))
% 16.70/16.89 (assume a2166 (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)))))
% 16.70/16.89 (assume a2167 (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)))))
% 16.70/16.89 (assume a2168 (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))))))
% 16.70/16.89 (assume a2169 (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))))))
% 16.70/16.89 (assume a2170 (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))))))
% 16.70/16.89 (assume a2171 (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))))))
% 16.70/16.89 (assume a2172 (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)))))
% 16.70/16.89 (assume a2173 (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)))))
% 16.70/16.89 (assume a2174 (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))))))
% 16.70/16.89 (assume a2175 (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))))))
% 16.70/16.89 (assume a2176 (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))))))
% 16.70/16.89 (assume a2177 (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))))))
% 16.70/16.89 (assume a2178 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y)))))))
% 16.70/16.89 (assume a2179 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex X) Z) (tptp.aa_complex_complex (tptp.times_times_complex W) Y)))))))
% 16.70/16.89 (assume a2180 (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)))))
% 16.70/16.89 (assume a2181 (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)))))
% 16.70/16.89 (assume a2182 (forall ((A tptp.extended_enat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat A) tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.89 (assume a2183 (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)))
% 16.70/16.89 (assume a2184 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 16.70/16.89 (assume a2185 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 16.70/16.89 (assume a2186 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 16.70/16.89 (assume a2187 (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)))))))))
% 16.70/16.89 (assume a2188 (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 ((M6 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M6))))))
% 16.70/16.89 (assume a2189 (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)))))))))
% 16.70/16.89 (assume a2190 (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 ((M5 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M5))))))
% 16.70/16.89 (assume a2191 (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))))))))
% 16.70/16.89 (assume a2192 (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)))))))
% 16.70/16.89 (assume a2193 (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)))))))
% 16.70/16.89 (assume a2194 (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))))
% 16.70/16.89 (assume a2195 (forall ((X22 tptp.nat)) (= (tptp.size_size_option_nat (tptp.some_nat X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.70/16.89 (assume a2196 (forall ((X22 tptp.num)) (= (tptp.size_size_option_num (tptp.some_num X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.70/16.89 (assume a2197 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (forall ((I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K2)) (not (tptp.pp (tptp.aa_nat_bool P I))))) (tptp.pp (tptp.aa_nat_bool P K2))))))))
% 16.70/16.89 (assume a2198 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) K2) J))))))
% 16.70/16.89 (assume a2199 (= (tptp.size_s170228958280169651at_nat tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.89 (assume a2200 (= (tptp.size_size_option_nat tptp.none_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.89 (assume a2201 (= (tptp.size_size_option_num tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.89 (assume a2202 (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))))))
% 16.70/16.89 (assume a2203 (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)))))
% 16.70/16.89 (assume a2204 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) 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) I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) J)))))))
% 16.70/16.89 (assume a2205 (forall ((I2 tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) 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 I2) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K)))))))
% 16.70/16.89 (assume a2206 (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))))))
% 16.70/16.89 (assume a2207 (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)))))
% 16.70/16.89 (assume a2208 (= tptp.one_one_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.89 (assume a2209 (forall ((I2 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) I2)) (=> (tptp.pp (tptp.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 I2) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 16.70/16.89 (assume a2210 (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)))
% 16.70/16.89 (assume a2211 (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)))))
% 16.70/16.89 (assume a2212 (forall ((V tptp.product_prod_nat_nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy Uz)) X)))))
% 16.70/16.89 (assume a2213 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (Uw2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) Uw2)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT) (Uz2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (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 (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) X4)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vc2) X4)))) (not (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2) X4)))))))))))
% 16.70/16.89 (assume a2214 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X4)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2) X4)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2) X4)))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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 (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) X4)))))))))))
% 16.70/16.89 (assume a2215 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) tptp.zero_zero_nat)))) (=> (forall ((A3 tptp.bool) (Uw2 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 Uw2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (Va2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)))))) (=> (forall ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va3 tptp.vEBT_VEBT) (Vb2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va3) Vb2)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve tptp.vEBT_VEBT) (Vf tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vd2 Ve) Vf)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vh tptp.list_VEBT_VEBT) (Vi tptp.vEBT_VEBT) (Vj tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh Vi) Vj)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) X4)))))))))))))
% 16.70/16.89 (assume a2216 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu2 tptp.bool) (B3 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 B3) tptp.zero_zero_nat)))) (=> (forall ((Uv2 tptp.bool) (Uw2 tptp.bool) (N3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv2 Uw2) (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (Va3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2) Va3)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (Ve tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vc2 Vd2) Ve)))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vg tptp.list_VEBT_VEBT) (Vh tptp.vEBT_VEBT) (Vi tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh) Vi)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X4 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) X4))))))))))))
% 16.70/16.89 (assume a2217 (forall ((Info tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info tptp.zero_zero_nat Ts2 S3) X) (tptp.vEBT_Node Info tptp.zero_zero_nat Ts2 S3))))
% 16.70/16.89 (assume a2218 (forall ((B tptp.bool) (A tptp.bool) (Va tptp.nat)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) tptp.none_nat)))))))
% 16.70/16.89 (assume a2219 (forall ((X tptp.vEBT_VEBT) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X)) (tptp.pp Y)) (=> (=> (= X (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp Y))) (=> (=> (exists ((Uv2 tptp.bool)) (= X (tptp.vEBT_Leaf tptp.fTrue Uv2))) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool)) (= X (tptp.vEBT_Leaf Uu2 tptp.fTrue))) (tptp.pp Y)) (=> (=> (exists ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2))) (tptp.pp Y))))))))))
% 16.70/16.89 (assume a2220 (forall ((Uv tptp.bool) (Uw tptp.bool) (N tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uv Uw) (tptp.aa_nat_nat tptp.suc N)) tptp.none_nat)))
% 16.70/16.89 (assume a2221 (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)))))))))
% 16.70/16.89 (assume a2222 (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)))))))))
% 16.70/16.89 (assume a2223 (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)))))))))
% 16.70/16.89 (assume a2224 (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)))))))))
% 16.70/16.89 (assume a2225 (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)))))))))
% 16.70/16.89 (assume a2226 (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)))))))))
% 16.70/16.89 (assume a2227 (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))))))
% 16.70/16.89 (assume a2228 (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))))))
% 16.70/16.89 (assume a2229 (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))))))
% 16.70/16.89 (assume a2230 (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))))))
% 16.70/16.89 (assume a2231 (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))))))
% 16.70/16.89 (assume a2232 (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))))))
% 16.70/16.89 (assume a2233 (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))))))
% 16.70/16.89 (assume a2234 (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))))))
% 16.70/16.89 (assume a2235 (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))))))
% 16.70/16.89 (assume a2236 (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))))))
% 16.70/16.89 (assume a2237 (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)))))))
% 16.70/16.89 (assume a2238 (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)))))))
% 16.70/16.89 (assume a2239 (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)))))))))
% 16.70/16.89 (assume a2240 (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)))))))))
% 16.70/16.89 (assume a2241 (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)))))))))
% 16.70/16.89 (assume a2242 (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))))))
% 16.70/16.89 (assume a2243 (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))))))
% 16.70/16.89 (assume a2244 (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))))))
% 16.70/16.89 (assume a2245 (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)))))))
% 16.70/16.89 (assume a2246 (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)))))))
% 16.70/16.89 (assume a2247 (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)))))))))
% 16.70/16.89 (assume a2248 (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)))))))))
% 16.70/16.89 (assume a2249 (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)))))))))
% 16.70/16.89 (assume a2250 (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))))))
% 16.70/16.89 (assume a2251 (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))))))
% 16.70/16.89 (assume a2252 (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))))))
% 16.70/16.89 (assume a2253 (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)))))))
% 16.70/16.89 (assume a2254 (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)))))))
% 16.70/16.89 (assume a2255 (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)))))))
% 16.70/16.89 (assume a2256 (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)))))))
% 16.70/16.89 (assume a2257 (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)))))))
% 16.70/16.89 (assume a2258 (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)))))))
% 16.70/16.89 (assume a2259 (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)))))))
% 16.70/16.89 (assume a2260 (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)))))))
% 16.70/16.89 (assume a2261 (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)))))))
% 16.70/16.89 (assume a2262 (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)))))))
% 16.70/16.89 (assume a2263 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)))))))
% 16.70/16.89 (assume a2264 (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)))))))
% 16.70/16.89 (assume a2265 (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)))))))
% 16.70/16.89 (assume a2266 (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)))))))
% 16.70/16.89 (assume a2267 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) tptp.zero_z5237406670263579293d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a2268 (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))))))
% 16.70/16.89 (assume a2269 (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))))))
% 16.70/16.89 (assume a2270 (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))))))
% 16.70/16.89 (assume a2271 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)))))))
% 16.70/16.89 (assume a2272 (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)))))))
% 16.70/16.89 (assume a2273 (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)))))))
% 16.70/16.89 (assume a2274 (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)))))))
% 16.70/16.89 (assume a2275 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) tptp.zero_z5237406670263579293d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) tptp.zero_z5237406670263579293d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) B)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.89 (assume a2276 (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))))))
% 16.70/16.89 (assume a2277 (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))))))
% 16.70/16.89 (assume a2278 (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))))))
% 16.70/16.89 (assume a2279 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) E2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.89 (assume a2280 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.divide6298287555418463151nteger A B)))))))
% 16.70/16.89 (assume a2281 (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)))))))
% 16.70/16.89 (assume a2282 (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)))))))
% 16.70/16.89 (assume a2283 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) B)) (= (tptp.divide6298287555418463151nteger A B) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.89 (assume a2284 (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)))))
% 16.70/16.89 (assume a2285 (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)))))
% 16.70/16.89 (assume a2286 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2287 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2288 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2289 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2290 (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)))))))
% 16.70/16.89 (assume a2291 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 16.70/16.89 (assume a2292 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 16.70/16.89 (assume a2293 (forall ((Y tptp.real) (X tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 16.70/16.89 (assume a2294 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))))))
% 16.70/16.89 (assume a2295 (forall ((X tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))))))
% 16.70/16.89 (assume a2296 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2297 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.70/16.89 (assume a2298 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) X)))))))
% 16.70/16.89 (assume a2299 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X)) X)))))))
% 16.70/16.89 (assume a2300 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) X)))))))
% 16.70/16.89 (assume a2301 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y)) X)))))))
% 16.70/16.89 (assume a2302 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.one_on7984719198319812577d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) tptp.one_on7984719198319812577d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) B)) tptp.one_on7984719198319812577d_enat)))))))
% 16.70/16.89 (assume a2303 (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)))))))
% 16.70/16.89 (assume a2304 (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)))))))
% 16.70/16.89 (assume a2305 (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)))))))
% 16.70/16.89 (assume a2306 (forall ((C tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) tptp.one_on7984719198319812577d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) C)) A))))))
% 16.70/16.89 (assume a2307 (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))))))
% 16.70/16.89 (assume a2308 (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))))))
% 16.70/16.89 (assume a2309 (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))))))
% 16.70/16.89 (assume a2310 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))
% 16.70/16.89 (assume a2311 (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))))))
% 16.70/16.89 (assume a2312 (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))))))
% 16.70/16.89 (assume a2313 (forall ((X tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2314 (forall ((X tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)))))
% 16.70/16.89 (assume a2315 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2316 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 16.70/16.89 (assume a2317 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B) C)))))
% 16.70/16.89 (assume a2318 (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)))))
% 16.70/16.89 (assume a2319 (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)))))
% 16.70/16.89 (assume a2320 (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.89 (assume a2321 (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))))
% 16.70/16.89 (assume a2322 (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))))
% 16.70/16.89 (assume a2323 (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))))
% 16.70/16.89 (assume a2324 (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))))))))
% 16.70/16.89 (assume a2325 (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))))))))
% 16.70/16.89 (assume a2326 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2327 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z))))))
% 16.70/16.89 (assume a2328 (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))))))
% 16.70/16.89 (assume a2329 (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)))))))
% 16.70/16.89 (assume a2330 (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)))))))
% 16.70/16.89 (assume a2331 (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))))))
% 16.70/16.89 (assume a2332 (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)))))))))
% 16.70/16.89 (assume a2333 (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)))))))))
% 16.70/16.89 (assume a2334 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.one_one_real))))))
% 16.70/16.89 (assume a2335 (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))))))
% 16.70/16.89 (assume a2336 (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))))))
% 16.70/16.89 (assume a2337 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real W) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real 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 W)) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2338 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.numera6690914467698888265omplex W) (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 W)) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 16.70/16.89 (assume a2339 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C) (tptp.aa_num_real tptp.numeral_numeral_real W)) (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 W)) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2340 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.numera6690914467698888265omplex W)) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 16.70/16.89 (assume a2341 (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)))))))
% 16.70/16.89 (assume a2342 (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)))))
% 16.70/16.89 (assume a2343 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 16.70/16.89 (assume a2344 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.70/16.89 (assume a2345 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) Y)) Z)))))
% 16.70/16.89 (assume a2346 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Y) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) Y)) Z)))))
% 16.70/16.89 (assume a2347 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 16.70/16.89 (assume a2348 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 16.70/16.89 (assume a2349 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 16.70/16.89 (assume a2350 (forall ((Y tptp.complex) (X tptp.complex) (Z tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 16.70/16.89 (assume a2351 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 16.70/16.89 (assume a2352 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 16.70/16.89 (assume a2353 (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))))))
% 16.70/16.89 (assume a2354 (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))))))
% 16.70/16.89 (assume a2355 (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))))))
% 16.70/16.89 (assume a2356 (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))))))
% 16.70/16.89 (assume a2357 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))
% 16.70/16.89 (assume a2358 (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))))))
% 16.70/16.89 (assume a2359 (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))))))
% 16.70/16.89 (assume a2360 (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.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))
% 16.70/16.89 (assume a2361 (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))))))
% 16.70/16.89 (assume a2362 (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))))))
% 16.70/16.89 (assume a2363 (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)))))
% 16.70/16.89 (assume a2364 (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)))))
% 16.70/16.89 (assume a2365 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) B) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A B) tptp.one_one_Code_integer)))))
% 16.70/16.89 (assume a2366 (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)))))
% 16.70/16.89 (assume a2367 (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)))))
% 16.70/16.89 (assume a2368 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger B A) B) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A B) tptp.one_one_Code_integer)))))
% 16.70/16.89 (assume a2369 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 16.70/16.89 (assume a2370 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.70/16.89 (assume a2371 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) Y)) Z)))))
% 16.70/16.89 (assume a2372 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Y) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) Y)) Z)))))
% 16.70/16.89 (assume a2373 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 16.70/16.89 (assume a2374 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 16.70/16.89 (assume a2375 (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))))))
% 16.70/16.89 (assume a2376 (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))))))
% 16.70/16.89 (assume a2377 (forall ((V tptp.product_prod_nat_nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb Vc)) X)))))
% 16.70/16.89 (assume a2378 (forall ((Mi tptp.nat) (Ma tptp.nat) (TrLst2 tptp.list_VEBT_VEBT) (Smry2 tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat TrLst2 Smry2) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat TrLst2 Smry2))))
% 16.70/16.89 (assume a2379 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.89 (assume a2380 (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)))))
% 16.70/16.89 (assume a2381 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) N)) (forall ((I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) K2)) (not (tptp.pp (tptp.aa_nat_bool P I))))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K2)))))))))
% 16.70/16.89 (assume a2382 (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)))))))
% 16.70/16.89 (assume a2383 (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)))))))
% 16.70/16.89 (assume a2384 (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)))))))
% 16.70/16.89 (assume a2385 (forall ((N tptp.nat) (I2 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 I2))) N)))))
% 16.70/16.89 (assume a2386 (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))))))
% 16.70/16.89 (assume a2387 (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))))))
% 16.70/16.89 (assume a2388 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.70/16.89 (assume a2389 (forall ((X tptp.real) (Xs tptp.list_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_real Xs))))))
% 16.70/16.89 (assume a2390 (forall ((X tptp.complex) (Xs tptp.list_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s3451745648224563538omplex Xs))))))
% 16.70/16.89 (assume a2391 (forall ((X tptp.product_prod_nat_nat) (Xs tptp.list_P6011104703257516679at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.set_Pr5648618587558075414at_nat Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s5460976970255530739at_nat Xs))))))
% 16.70/16.89 (assume a2392 (forall ((X tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s6755466524823107622T_VEBT Xs))))))
% 16.70/16.89 (assume a2393 (forall ((X tptp.bool) (Xs tptp.list_bool)) (=> (tptp.member_bool X (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_bool Xs))))))
% 16.70/16.89 (assume a2394 (forall ((X tptp.nat) (Xs tptp.list_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_nat Xs))))))
% 16.70/16.89 (assume a2395 (forall ((X tptp.int) (Xs tptp.list_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_int Xs))))))
% 16.70/16.89 (assume a2396 (forall ((I2 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)) I2)) (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 I2) N))))))
% 16.70/16.89 (assume a2397 (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 ((D3 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D3)) (not (tptp.pp (tptp.aa_nat_bool P D3))))))))))
% 16.70/16.89 (assume a2398 (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 ((D3 tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D3)) (tptp.pp (tptp.aa_nat_bool P D3))))))))
% 16.70/16.89 (assume a2399 (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))))))
% 16.70/16.89 (assume a2400 (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)))))))
% 16.70/16.89 (assume a2401 (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)))))
% 16.70/16.89 (assume a2402 (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)))))))
% 16.70/16.89 (assume a2403 (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)))))
% 16.70/16.89 (assume a2404 (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))))))
% 16.70/16.89 (assume a2405 (forall ((Info tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3) X) (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3))))
% 16.70/16.89 (assume a2406 (forall ((X tptp.vEBT_VEBT)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X (tptp.vEBT_Leaf A3 B3)))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)))))))))
% 16.70/16.89 (assume a2407 (forall ((Mi tptp.nat) (Ma tptp.nat) (Tr2 tptp.list_VEBT_VEBT) (Sm2 tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_delete (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.zero_zero_nat) Tr2 Sm2) X) (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.zero_zero_nat) Tr2 Sm2))))
% 16.70/16.89 (assume a2408 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (not (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat)) (=> (exists ((Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))) (not (= Y (tptp.some_nat Mi2)))))))))))
% 16.70/16.89 (assume a2409 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))) (not (= Y (tptp.some_nat Ma2)))))))))))
% 16.70/16.89 (assume a2410 (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)))))))
% 16.70/16.89 (assume a2411 (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)))))))
% 16.70/16.89 (assume a2412 (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)))))))
% 16.70/16.89 (assume a2413 (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)))))))
% 16.70/16.89 (assume a2414 (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)))))))
% 16.70/16.89 (assume a2415 (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)))))))
% 16.70/16.89 (assume a2416 (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)))))))
% 16.70/16.89 (assume a2417 (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)))))))
% 16.70/16.89 (assume a2418 (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)))))))
% 16.70/16.89 (assume a2419 (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)))))))
% 16.70/16.89 (assume a2420 (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)))))))
% 16.70/16.89 (assume a2421 (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)))))))
% 16.70/16.89 (assume a2422 (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)))))))
% 16.70/16.89 (assume a2423 (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)))))))
% 16.70/16.89 (assume a2424 (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)))))))
% 16.70/16.89 (assume a2425 (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)))))))
% 16.70/16.89 (assume a2426 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) 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 Z3) X)) Y))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.89 (assume a2427 (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))))))))
% 16.70/16.89 (assume a2428 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 16.70/16.89 (assume a2429 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z))))))
% 16.70/16.89 (assume a2430 (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))))))
% 16.70/16.89 (assume a2431 (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)))))))
% 16.70/16.89 (assume a2432 (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)))))))
% 16.70/16.89 (assume a2433 (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))))))
% 16.70/16.89 (assume a2434 (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))))))))
% 16.70/16.89 (assume a2435 (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)))))))))
% 16.70/16.89 (assume a2436 (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)))))))))
% 16.70/16.89 (assume a2437 (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)))))))
% 16.70/16.89 (assume a2438 (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)))))
% 16.70/16.89 (assume a2439 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real U) V) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 16.70/16.89 (assume a2440 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 16.70/16.89 (assume a2441 (forall ((W 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 W)) (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 W)) 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 W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 16.70/16.89 (assume a2442 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) 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 W))))))))))
% 16.70/16.89 (assume a2443 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 16.70/16.89 (assume a2444 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.89 (assume a2445 (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)))))))
% 16.70/16.89 (assume a2446 (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)))))))
% 16.70/16.89 (assume a2447 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 16.70/16.89 (assume a2448 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 16.70/16.89 (assume a2449 (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))))))
% 16.70/16.89 (assume a2450 (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))))))
% 16.70/16.89 (assume a2451 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real))))))
% 16.70/16.89 (assume a2452 (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))))))
% 16.70/16.89 (assume a2453 (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))))))
% 16.70/16.89 (assume a2454 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))))
% 16.70/16.89 (assume a2455 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 16.70/16.89 (assume a2456 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N2)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 16.70/16.89 (assume a2457 (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z5237406670263579293d_enat))
% 16.70/16.89 (assume a2458 (= (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))
% 16.70/16.89 (assume a2459 (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real))
% 16.70/16.89 (assume a2460 (= (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))
% 16.70/16.89 (assume a2461 (= (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))
% 16.70/16.89 (assume a2462 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))))
% 16.70/16.89 (assume a2463 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 16.70/16.89 (assume a2464 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N2)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 16.70/16.89 (assume a2465 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.89 (assume a2466 (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)))))))
% 16.70/16.89 (assume a2467 (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)))))))
% 16.70/16.89 (assume a2468 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.89 (assume a2469 (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)))))))
% 16.70/16.89 (assume a2470 (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)))))))
% 16.70/16.89 (assume a2471 (= (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))))
% 16.70/16.89 (assume a2472 (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)))))
% 16.70/16.89 (assume a2473 (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)))))))
% 16.70/16.89 (assume a2474 (forall ((A tptp.real) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.89 (assume a2475 (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)))))))
% 16.70/16.89 (assume a2476 (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)))))))
% 16.70/16.89 (assume a2477 (forall ((A tptp.code_integer) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (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 A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))))
% 16.70/16.89 (assume a2478 (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)))))))
% 16.70/16.89 (assume a2479 (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)))))))
% 16.70/16.89 (assume a2480 (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))))))
% 16.70/16.89 (assume a2481 (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))))))
% 16.70/16.89 (assume a2482 (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))))))
% 16.70/16.89 (assume a2483 (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))))))))
% 16.70/16.89 (assume a2484 (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)))))))
% 16.70/16.89 (assume a2485 (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))))))))))
% 16.70/16.89 (assume a2486 (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)))))))
% 16.70/16.89 (assume a2487 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (= X (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 ((S2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2))) (= (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.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))))))))))))))
% 16.70/16.89 (assume a2488 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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 ((S2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2))) (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.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))))))))))))
% 16.70/16.89 (assume a2489 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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 (= X (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 ((S2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2))) (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.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))))))))))))
% 16.70/16.89 (assume a2490 (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)))))))
% 16.70/16.89 (assume a2491 (forall ((V tptp.product_prod_nat_nat) (Vc tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (Ve2 tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc Vd) Ve2) tptp.none_nat)))
% 16.70/16.89 (assume a2492 (forall ((V tptp.product_prod_nat_nat) (Vd tptp.list_VEBT_VEBT) (Ve2 tptp.vEBT_VEBT) (Vf2 tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vd Ve2) Vf2) tptp.none_nat)))
% 16.70/16.89 (assume a2493 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X (tptp.vEBT_Leaf Uu2 Uv2))) (tptp.pp Y)) (=> (=> (exists ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (= (tptp.pp Y) (not (or (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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 ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2))) (= (tptp.pp Y) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.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))))))))))))))))
% 16.70/16.89 (assume a2494 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2))) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (not (= X (tptp.vEBT_Leaf Uu2 Uv2)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (or (= Xa2 Mi2) (= Xa2 Ma2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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 ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.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))))))))))))))
% 16.70/16.89 (assume a2495 (forall ((W 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 W)) (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 W)) 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 W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 16.70/16.89 (assume a2496 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) 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 W))))))))))
% 16.70/16.89 (assume a2497 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real U) V) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 16.70/16.89 (assume a2498 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 16.70/16.89 (assume a2499 (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)))))
% 16.70/16.89 (assume a2500 (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))))))))
% 16.70/16.89 (assume a2501 (forall ((U tptp.real) (V tptp.real) (R tptp.real) (S3 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) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R) S3)) (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 R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real V) U))) S3))) V)))))))
% 16.70/16.89 (assume a2502 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 16.70/16.89 (assume a2503 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 16.70/16.89 (assume a2504 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 16.70/16.89 (assume a2505 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= X Y))))))
% 16.70/16.89 (assume a2506 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= X Y))))))
% 16.70/16.89 (assume a2507 (forall ((X tptp.int) (Y tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= X Y))))))
% 16.70/16.89 (assume a2508 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.89 (assume a2509 (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)))))))
% 16.70/16.89 (assume a2510 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2511 (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)))))
% 16.70/16.89 (assume a2512 (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)))))
% 16.70/16.89 (assume a2513 (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)))))
% 16.70/16.89 (assume a2514 (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)))))
% 16.70/16.89 (assume a2515 (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)))))
% 16.70/16.89 (assume a2516 (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)))))
% 16.70/16.89 (assume a2517 (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)))))
% 16.70/16.89 (assume a2518 (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)))))))))
% 16.70/16.89 (assume a2519 (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)))))))))
% 16.70/16.89 (assume a2520 (forall ((A tptp.code_integer) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger 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.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))))
% 16.70/16.89 (assume a2521 (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))))))
% 16.70/16.89 (assume a2522 (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))))))
% 16.70/16.89 (assume a2523 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.70/16.89 (assume a2524 (forall ((M tptp.nat) (P2 tptp.extended_enat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat P2) M) tptp.one_on7984719198319812577d_enat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat P2) M) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat P2) (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.89 (assume a2525 (forall ((M tptp.nat) (P2 tptp.complex)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M) tptp.one_one_complex)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M) (tptp.aa_complex_complex (tptp.times_times_complex P2) (tptp.aa_nat_complex (tptp.power_power_complex P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.89 (assume a2526 (forall ((M tptp.nat) (P2 tptp.real)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) M) tptp.one_one_real)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) M) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real P2) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.89 (assume a2527 (forall ((M tptp.nat) (P2 tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M) tptp.one_one_nat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.89 (assume a2528 (forall ((M tptp.nat) (P2 tptp.int)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int P2) M) tptp.one_one_int)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int P2) M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P2) (tptp.aa_nat_int (tptp.power_power_int P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.89 (assume a2529 (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)))))
% 16.70/16.89 (assume a2530 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.89 (assume a2531 (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)))))
% 16.70/16.89 (assume a2532 (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)))))
% 16.70/16.89 (assume a2533 (forall ((P tptp.fun_nat_bool) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))) (or (and (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((Q4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q4)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc Q4)))) (tptp.pp (tptp.aa_nat_bool P Q4))))))))
% 16.70/16.89 (assume a2534 (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)))))))
% 16.70/16.89 (assume a2535 (forall ((V tptp.product_prod_nat_nat) (Vh2 tptp.list_VEBT_VEBT) (Vi2 tptp.vEBT_VEBT) (Vj2 tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh2 Vi2) Vj2) tptp.none_nat)))
% 16.70/16.89 (assume a2536 (forall ((V tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT) (Vi2 tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2) Vi2) tptp.none_nat)))
% 16.70/16.89 (assume a2537 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 16.70/16.89 (assume a2538 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 16.70/16.89 (assume a2539 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 16.70/16.89 (assume a2540 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2541 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.70/16.89 (assume a2542 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.89 (assume a2543 (forall ((X tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.89 (assume a2544 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 16.70/16.89 (assume a2545 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 16.70/16.89 (assume a2546 (forall ((X tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2547 (forall ((X tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)))))
% 16.70/16.89 (assume a2548 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.89 (assume a2549 (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))))))
% 16.70/16.89 (assume a2550 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)))))) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.70/16.89 (assume a2551 (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))))))))
% 16.70/16.89 (assume a2552 (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))))))))
% 16.70/16.89 (assume a2553 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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))))))))))))))))))
% 16.70/16.89 (assume a2554 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (= X (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)) (= X (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)) (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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))))))))))))))))))))))
% 16.70/16.89 (assume a2555 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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 (= X (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 (= X (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 (= X (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)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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))))))))))))))))))))
% 16.70/16.89 (assume a2556 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.70/16.89 (assume a2557 (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)))))
% 16.70/16.89 (assume a2558 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_real)))))
% 16.70/16.89 (assume a2559 (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)))))
% 16.70/16.89 (assume a2560 (forall ((X tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))))
% 16.70/16.89 (assume a2561 (forall ((X tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.89 (assume a2562 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (not (or (= Xa2 Mi2) (= Xa2 Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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 ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.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)))))))))))))
% 16.70/16.89 (assume a2563 (forall ((U tptp.real) (X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real U) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.89 (assume a2564 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt A1) A22)) (or (and (exists ((A4 tptp.bool) (B4 tptp.bool)) (= A1 (tptp.vEBT_Leaf A4 B4))) (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList3 Summary3)) (forall ((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.vEBT_invar_vebt X3) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) N5)) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) N5)) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((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) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (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.vEBT_invar_vebt X3) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N5))) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) (tptp.aa_nat_nat tptp.suc N5))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((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) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3 Summary3)) (forall ((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.vEBT_invar_vebt X3) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) N5)) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) N5)) (forall ((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))) N5))) (= (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))) N5))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N5) 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) N5)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N5) 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) N5)))) (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) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3 Summary3)) (forall ((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.vEBT_invar_vebt X3) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N5))) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) (tptp.aa_nat_nat tptp.suc N5))) (forall ((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 N5)))) (= (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 N5)))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N5) 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) N5)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N5) 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) N5)))) (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)))))))))))))))
% 16.70/16.89 (assume a2565 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_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) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M5)) (=> (= (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))) M5)) (=> (= M5 N3) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M5)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M5)) (=> (= (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))) M5)) (=> (= M5 (tptp.aa_nat_nat tptp.suc N3)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M5)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M5)) (=> (= (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))) M5)) (=> (= M5 N3) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M5)) (=> (forall ((I 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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M5))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) I))))) (=> (=> (= Mi2 Ma2) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) 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 ((I 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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M5))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N3) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N3)))) (forall ((X2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) N3) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Ma2)))))))))))))))))))))) (not (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M5 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M5)) (=> (= (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))) M5)) (=> (= M5 (tptp.aa_nat_nat tptp.suc N3)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M5)) (=> (forall ((I 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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M5))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) I))))) (=> (=> (= Mi2 Ma2) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) 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 ((I 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.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M5))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N3) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N3)))) (forall ((X2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) N3) I) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Ma2))))))))))))))))))))))))))))))
% 16.70/16.89 (assume a2566 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2)) (not (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2)) (not (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2))))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2 Summary2)) (not (= Y (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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (not (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat 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.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.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.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))))))))))))))
% 16.70/16.89 (assume a2567 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_delete X Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse B3)))))) (=> (forall ((A3 tptp.bool)) (=> (exists ((B3 tptp.bool)) (= X (tptp.vEBT_Leaf A3 B3))) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf A3 tptp.fFalse)))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (exists ((N3 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N3)))) (not (= Y (tptp.vEBT_Leaf A3 B3)))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (not (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst tptp.list_VEBT_VEBT) (Smry tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry)) (not (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr tptp.list_VEBT_VEBT) (Sm tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm)) (not (= Y (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.zero_zero_nat) Tr Sm))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (not (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (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 (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (tptp.if_VEBT_VEBT (tptp.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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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_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.fequal_nat Xa2) Mi2)) (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 Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) Xa2)) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (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 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat 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Summary2))))))) 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_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.fequal_nat Xa2) Mi2)) (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 Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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 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tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) Ma2))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (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_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.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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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_delete (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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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_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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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))))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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_delete (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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.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))))))))))))))))))))
% 16.70/16.89 (assume a2568 (forall ((Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Uu tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary) Uu) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary))))
% 16.70/16.89 (assume a2569 (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.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz) Va Vb Vc))))))
% 16.70/16.89 (assume a2570 (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) X)))))
% 16.70/16.89 (assume a2571 (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.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux Uy)))))
% 16.70/16.89 (assume a2572 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X Xa2) Y) (=> (forall ((Uu2 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu2 B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))))))) (=> (=> (exists ((Uv2 tptp.bool) (Uw2 tptp.bool)) (= X (tptp.vEBT_Leaf Uv2 Uw2))) (=> (exists ((N3 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc N3))) (not (= Y tptp.none_nat)))) (=> (=> (exists ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vc2 Vd2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V2 tptp.product_prod_nat_nat) (Vg tptp.list_VEBT_VEBT) (Vh tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (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.vEBT_vebt_maxt (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_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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_succ (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.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary2 (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.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary2 (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.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.none_nat))))))))))))))))
% 16.70/16.89 (assume a2573 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_buildup N)) N)))))
% 16.70/16.89 (assume a2574 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.vEBT_VEBT_set_vebt T)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))))))
% 16.70/16.89 (assume a2575 (forall ((N tptp.nat)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_buildup N)) tptp.bot_bot_set_nat)))
% 16.70/16.89 (assume a2576 (forall ((A tptp.code_integer)) (= (tptp.bit_se2793503036327961859nteger tptp.zero_zero_nat A) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger (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))))))))
% 16.70/16.89 (assume a2577 (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))))))))
% 16.70/16.89 (assume a2578 (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))))))))
% 16.70/16.89 (assume a2579 (forall ((X tptp.set_nat)) (= (tptp.ord_max_set_nat tptp.bot_bot_set_nat X) X)))
% 16.70/16.89 (assume a2580 (forall ((X tptp.set_int)) (= (tptp.ord_max_set_int tptp.bot_bot_set_int X) X)))
% 16.70/16.89 (assume a2581 (forall ((X tptp.set_real)) (= (tptp.ord_max_set_real tptp.bot_bot_set_real X) X)))
% 16.70/16.89 (assume a2582 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.bot_bot_nat) X) X)))
% 16.70/16.89 (assume a2583 (forall ((X tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.bot_bo4199563552545308370d_enat) X) X)))
% 16.70/16.89 (assume a2584 (forall ((X tptp.set_nat)) (= (tptp.ord_max_set_nat X tptp.bot_bot_set_nat) X)))
% 16.70/16.89 (assume a2585 (forall ((X tptp.set_int)) (= (tptp.ord_max_set_int X tptp.bot_bot_set_int) X)))
% 16.70/16.89 (assume a2586 (forall ((X tptp.set_real)) (= (tptp.ord_max_set_real X tptp.bot_bot_set_real) X)))
% 16.70/16.89 (assume a2587 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) tptp.bot_bot_nat) X)))
% 16.70/16.89 (assume a2588 (forall ((X tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) tptp.bot_bo4199563552545308370d_enat) X)))
% 16.70/16.89 (assume a2589 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu2 B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 B3) tptp.zero_zero_nat))))))) (=> (forall ((Uv2 tptp.bool) (Uw2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uv2 Uw2)) (forall ((N3 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc N3)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv2 Uw2) (tptp.aa_nat_nat tptp.suc N3))))))))) (=> (forall ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vc2 Vd2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vc2 Vd2) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vg tptp.list_VEBT_VEBT) (Vh tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (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.vEBT_vebt_maxt (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_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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_succ (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.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary2 (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.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary2 (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.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.none_nat)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) Xa2))))))))))))))))
% 16.70/16.89 (assume a2590 (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)))))
% 16.70/16.89 (assume a2591 (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)))))
% 16.70/16.89 (assume a2592 (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.ord_less_eq_set_nat A2) B2)))))
% 16.70/16.89 (assume a2593 (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))))
% 16.70/16.89 (assume a2594 (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))))
% 16.70/16.89 (assume a2595 (forall ((A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) tptp.bot_bot_set_nat)) (= A2 tptp.bot_bot_set_nat))))
% 16.70/16.89 (assume a2596 (forall ((A2 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A2))))
% 16.70/16.89 (assume a2597 (forall ((A2 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A2))))
% 16.70/16.89 (assume a2598 (forall ((A2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A2))))
% 16.70/16.89 (assume a2599 (forall ((N tptp.nat) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_vebt_buildup N)) X)))))
% 16.70/16.89 (assume a2600 (forall ((N tptp.nat) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_vebt_buildup N)) X)))))
% 16.70/16.89 (assume a2601 (forall ((A tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) A))))
% 16.70/16.89 (assume a2602 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) A))))
% 16.70/16.89 (assume a2603 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 16.70/16.89 (assume a2604 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 16.70/16.89 (assume a2605 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 16.70/16.89 (assume a2606 (forall ((X tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) X))))
% 16.70/16.89 (assume a2607 (forall ((X tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) X))))
% 16.70/16.89 (assume a2608 (forall ((X tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) X))))
% 16.70/16.89 (assume a2609 (forall ((X tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) X))))
% 16.70/16.89 (assume a2610 (forall ((X tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) X))))
% 16.70/16.89 (assume a2611 (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.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (= A2 B2)))))
% 16.70/16.89 (assume a2612 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)) (= A2 B2)))))
% 16.70/16.89 (assume a2613 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (=> (not (= A2 B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2))))))
% 16.70/16.89 (assume a2614 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (not (= A2 B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2))))))
% 16.70/16.89 (assume a2615 (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)))))
% 16.70/16.89 (assume a2616 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)))))
% 16.70/16.89 (assume a2617 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) B2)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)))))
% 16.70/16.89 (assume a2618 (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)))))
% 16.70/16.89 (assume a2619 (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.ord_less_eq_set_nat A2) B2)))))
% 16.70/16.89 (assume a2620 (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)))))
% 16.70/16.89 (assume a2621 (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)))))
% 16.70/16.89 (assume a2622 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)) (not (= N tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a2623 (forall ((N tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.minus_3235023915231533773d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.89 (assume a2624 (forall ((N tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.minus_3235023915231533773d_enat N) tptp.zero_z5237406670263579293d_enat) N)))
% 16.70/16.89 (assume a2625 (forall ((X tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)))) (= X tptp.zero_zero_real))))
% 16.70/16.89 (assume a2626 (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.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.89 (assume a2627 (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)))))
% 16.70/16.89 (assume a2628 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 16.70/16.89 (assume a2629 (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)))))
% 16.70/16.89 (assume a2630 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat M) N))) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) M)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N))))))
% 16.70/16.89 (assume a2631 (forall ((N tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat N) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a2632 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat M) N) tptp.zero_z5237406670263579293d_enat) (and (= M tptp.zero_z5237406670263579293d_enat) (= N tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.89 (assume a2633 (forall ((N tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) N))))
% 16.70/16.89 (assume a2634 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat N) tptp.zero_z5237406670263579293d_enat)) (= N tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.89 (assume a2635 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M6 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N)) (tptp.pp (tptp.aa_nat_bool P M6)))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 16.70/16.89 (assume a2636 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N)) (tptp.pp (tptp.aa_nat_bool P M6)))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 16.70/16.89 (assume a2637 (= (tptp.vEBT_vebt_buildup tptp.zero_zero_nat) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 16.70/16.89 (assume a2638 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (= X Y)))))
% 16.70/16.89 (assume a2639 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (= X Y)))))
% 16.70/16.89 (assume a2640 (forall ((Y tptp.num) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= X Y)))))
% 16.70/16.89 (assume a2641 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= X Y)))))
% 16.70/16.89 (assume a2642 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= X Y)))))
% 16.70/16.89 (assume a2643 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 16.70/16.89 (assume a2644 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 16.70/16.89 (assume a2645 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 16.70/16.89 (assume a2646 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 16.70/16.90 (assume a2647 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 16.70/16.90 (assume a2648 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 16.70/16.90 (assume a2649 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 16.70/16.90 (assume a2650 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_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 F B) C) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F A)) C)))))))
% 16.70/16.90 (assume a2651 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (= (tptp.aa_nat_int F B) C) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F A)) C)))))))
% 16.70/16.90 (assume a2652 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (= (tptp.aa_int_num F B) C) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F A)) C)))))))
% 16.70/16.90 (assume a2653 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (= (tptp.aa_int_nat F B) C) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F A)) C)))))))
% 16.70/16.90 (assume a2654 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_int) (C 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 F B) C) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F A)) C)))))))
% 16.70/16.90 (assume a2655 (forall ((A tptp.set_real) (B tptp.set_real) (F tptp.fun_set_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (= (tptp.aa_set_real_num F B) C) (=> (forall ((X4 tptp.set_real) (Y3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F X4)) (tptp.aa_set_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F A)) C)))))))
% 16.70/16.90 (assume a2656 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 16.70/16.90 (assume a2657 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 16.70/16.90 (assume a2658 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_num_int F C))))))))
% 16.70/16.90 (assume a2659 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 16.70/16.90 (assume a2660 (forall ((A tptp.nat) (F tptp.fun_nat_nat) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_nat 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat F C))))))))
% 16.70/16.90 (assume a2661 (forall ((A tptp.int) (F tptp.fun_nat_int) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_int 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int F C))))))))
% 16.70/16.90 (assume a2662 (forall ((A tptp.num) (F tptp.fun_int_num) (B tptp.int) (C tptp.int)) (=> (= 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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F C))))))))
% 16.70/16.90 (assume a2663 (forall ((A tptp.nat) (F tptp.fun_int_nat) (B tptp.int) (C tptp.int)) (=> (= A (tptp.aa_int_nat 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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_int_nat F C))))))))
% 16.70/16.90 (assume a2664 (forall ((A tptp.int) (F tptp.fun_int_int) (B tptp.int) (C tptp.int)) (=> (= A (tptp.aa_int_int 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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int F C))))))))
% 16.70/16.90 (assume a2665 (forall ((A tptp.num) (F tptp.fun_set_real_num) (B tptp.set_real) (C tptp.set_real)) (=> (= A (tptp.aa_set_real_num F B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) C)) (=> (forall ((X4 tptp.set_real) (Y3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F X4)) (tptp.aa_set_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_set_real_num F C))))))))
% 16.70/16.90 (assume a2666 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 16.70/16.90 (assume a2667 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 16.70/16.90 (assume a2668 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 16.70/16.90 (assume a2669 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (= X Y) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)))))
% 16.70/16.90 (assume a2670 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (= X Y) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)))))
% 16.70/16.90 (assume a2671 (forall ((X tptp.num) (Y tptp.num)) (=> (= X Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 16.70/16.90 (assume a2672 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= X Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)))))
% 16.70/16.90 (assume a2673 (forall ((X tptp.int) (Y tptp.int)) (=> (= X Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 16.70/16.90 (assume a2674 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 16.70/16.90 (assume a2675 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 16.70/16.90 (assume a2676 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 16.70/16.90 (assume a2677 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 16.70/16.90 (assume a2678 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_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 F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F A)) C)))))))
% 16.70/16.90 (assume a2679 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_int) (C tptp.int)) (=> (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 F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F A)) C)))))))
% 16.70/16.90 (assume a2680 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F B)) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F A)) C)))))))
% 16.70/16.90 (assume a2681 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_nat) (C 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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F B)) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F A)) C)))))))
% 16.70/16.90 (assume a2682 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_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 F B)) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F A)) C)))))))
% 16.70/16.90 (assume a2683 (forall ((A tptp.set_real) (B tptp.set_real) (F tptp.fun_set_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F B)) C)) (=> (forall ((X4 tptp.set_real) (Y3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F X4)) (tptp.aa_set_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_set_real_num F A)) C)))))))
% 16.70/16.90 (assume a2684 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 16.70/16.90 (assume a2685 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 16.70/16.90 (assume a2686 (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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F C))))))))
% 16.70/16.90 (assume a2687 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 16.70/16.90 (assume a2688 (forall ((A tptp.nat) (F tptp.fun_nat_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) (tptp.aa_nat_nat 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat F C))))))))
% 16.70/16.90 (assume a2689 (forall ((A tptp.nat) (F tptp.fun_int_nat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_int_nat 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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_int_nat F C))))))))
% 16.70/16.90 (assume a2690 (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_eq_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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_num_int F C))))))))
% 16.70/16.90 (assume a2691 (forall ((A tptp.int) (F tptp.fun_nat_int) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int F C))))))))
% 16.70/16.90 (assume a2692 (forall ((A tptp.int) (F tptp.fun_int_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) (tptp.aa_int_int 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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int F C))))))))
% 16.70/16.90 (assume a2693 (forall ((A tptp.set_real) (F tptp.fun_num_set_real) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) (tptp.aa_num_set_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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_num_set_real F X4)) (tptp.aa_num_set_real F Y3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) (tptp.aa_num_set_real F C))))))))
% 16.70/16.90 (assume a2694 (forall ((A tptp.set_real) (B tptp.set_real)) (= (= A B) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A))))))
% 16.70/16.90 (assume a2695 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= A B) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A))))))
% 16.70/16.90 (assume a2696 (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))))))
% 16.70/16.90 (assume a2697 (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))))))
% 16.70/16.90 (assume a2698 (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))))))
% 16.70/16.90 (assume a2699 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (= A B)))))
% 16.70/16.90 (assume a2700 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= A B)))))
% 16.70/16.90 (assume a2701 (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)))))
% 16.70/16.90 (assume a2702 (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)))))
% 16.70/16.90 (assume a2703 (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)))))
% 16.70/16.90 (assume a2704 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) A))))))
% 16.70/16.90 (assume a2705 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A))))))
% 16.70/16.90 (assume a2706 (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))))))
% 16.70/16.90 (assume a2707 (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))))))
% 16.70/16.90 (assume a2708 (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))))))
% 16.70/16.90 (assume a2709 (forall ((B tptp.set_real) (A tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (= A B)))))
% 16.70/16.90 (assume a2710 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= A B)))))
% 16.70/16.90 (assume a2711 (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)))))
% 16.70/16.90 (assume a2712 (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)))))
% 16.70/16.90 (assume a2713 (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)))))
% 16.70/16.90 (assume a2714 (forall ((A tptp.set_real) (B tptp.set_real)) (= (= A B) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))))))
% 16.70/16.90 (assume a2715 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= A B) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.70/16.90 (assume a2716 (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))))))
% 16.70/16.90 (assume a2717 (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))))))
% 16.70/16.90 (assume a2718 (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))))))
% 16.70/16.90 (assume a2719 (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))))))
% 16.70/16.90 (assume a2720 (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))))))
% 16.70/16.90 (assume a2721 (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))))))
% 16.70/16.90 (assume a2722 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) Z)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Z))))))
% 16.70/16.90 (assume a2723 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Z))))))
% 16.70/16.90 (assume a2724 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z))))))
% 16.70/16.90 (assume a2725 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z))))))
% 16.70/16.90 (assume a2726 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z))))))
% 16.70/16.90 (assume a2727 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) C)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) C))))))
% 16.70/16.90 (assume a2728 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.70/16.90 (assume a2729 (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))))))
% 16.70/16.90 (assume a2730 (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))))))
% 16.70/16.90 (assume a2731 (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))))))
% 16.70/16.90 (assume a2732 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2733 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2734 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2735 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2736 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2737 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (= B C) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) C))))))
% 16.70/16.90 (assume a2738 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.70/16.90 (assume a2739 (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))))))
% 16.70/16.90 (assume a2740 (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))))))
% 16.70/16.90 (assume a2741 (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))))))
% 16.70/16.90 (assume a2742 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (= A B) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) C)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) C))))))
% 16.70/16.90 (assume a2743 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.70/16.90 (assume a2744 (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))))))
% 16.70/16.90 (assume a2745 (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))))))
% 16.70/16.90 (assume a2746 (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))))))
% 16.70/16.90 (assume a2747 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (= X Y) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X))))))
% 16.70/16.90 (assume a2748 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (= X Y) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X))))))
% 16.70/16.90 (assume a2749 (forall ((X tptp.num) (Y tptp.num)) (= (= X Y) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X))))))
% 16.70/16.90 (assume a2750 (forall ((X tptp.nat) (Y tptp.nat)) (= (= X Y) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X))))))
% 16.70/16.90 (assume a2751 (forall ((X tptp.int) (Y tptp.int)) (= (= X Y) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X))))))
% 16.70/16.90 (assume a2752 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X)))) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))))))))))))
% 16.70/16.90 (assume a2753 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X)))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))))))))
% 16.70/16.90 (assume a2754 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X)))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))))))))
% 16.70/16.90 (assume a2755 (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))))))
% 16.70/16.90 (assume a2756 (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))))))
% 16.70/16.90 (assume a2757 (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))))))
% 16.70/16.90 (assume a2758 (forall ((X tptp.real)) (exists ((Y3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) X)))))
% 16.70/16.90 (assume a2759 (forall ((X tptp.int)) (exists ((Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y3) X)))))
% 16.70/16.90 (assume a2760 (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)))))
% 16.70/16.90 (assume a2761 (forall ((X tptp.nat)) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X_1)))))
% 16.70/16.90 (assume a2762 (forall ((X tptp.int)) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) X_1)))))
% 16.70/16.90 (assume a2763 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (exists ((Z3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) Y)))))))
% 16.70/16.90 (assume a2764 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2765 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2766 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2767 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2768 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2769 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A))))))
% 16.70/16.90 (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)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 16.70/16.90 (assume a2771 (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))))))
% 16.70/16.90 (assume a2772 (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))))))
% 16.70/16.90 (assume a2773 (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))))))
% 16.70/16.90 (assume a2774 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A B) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) C))))))
% 16.70/16.90 (assume a2775 (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))))))
% 16.70/16.90 (assume a2776 (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))))))
% 16.70/16.90 (assume a2777 (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))))))
% 16.70/16.90 (assume a2778 (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))))))
% 16.70/16.90 (assume a2779 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= B C) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) C))))))
% 16.70/16.90 (assume a2780 (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))))))
% 16.70/16.90 (assume a2781 (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))))))
% 16.70/16.90 (assume a2782 (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))))))
% 16.70/16.90 (assume a2783 (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))))))
% 16.70/16.90 (assume a2784 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (A tptp.extended_enat)) (=> (forall ((X4 tptp.extended_enat)) (=> (forall ((Y2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y2) X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P Y2)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X4)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P A)))))
% 16.70/16.90 (assume a2785 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y2) X4)) (tptp.pp (tptp.aa_nat_bool P Y2)))) (tptp.pp (tptp.aa_nat_bool P X4)))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 16.70/16.90 (assume a2786 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (= X Y)))))
% 16.70/16.90 (assume a2787 (forall ((Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= X Y)))))
% 16.70/16.90 (assume a2788 (forall ((Y tptp.num) (X tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= X Y)))))
% 16.70/16.90 (assume a2789 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= X Y)))))
% 16.70/16.90 (assume a2790 (forall ((Y tptp.int) (X tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= X Y)))))
% 16.70/16.90 (assume a2791 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2792 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2793 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2794 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2795 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2796 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B))))))
% 16.70/16.90 (assume a2797 (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))))))
% 16.70/16.90 (assume a2798 (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))))))
% 16.70/16.90 (assume a2799 (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))))))
% 16.70/16.90 (assume a2800 (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))))))
% 16.70/16.90 (assume a2801 (forall ((A tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) A)))))
% 16.70/16.90 (assume a2802 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 16.70/16.90 (assume a2803 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 16.70/16.90 (assume a2804 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 16.70/16.90 (assume a2805 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 16.70/16.90 (assume a2806 (forall ((P tptp.fun_Ex8563670519792538868t_bool)) (= (exists ((X_13 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X_13))) (exists ((N5 tptp.extended_enat)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N5)) (forall ((M6 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat M6) N5)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P M6))))))))))
% 16.70/16.90 (assume a2807 (forall ((P tptp.fun_nat_bool)) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_13))) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P N5)) (forall ((M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M6) N5)) (not (tptp.pp (tptp.aa_nat_bool P M6))))))))))
% 16.70/16.90 (assume a2808 (forall ((P tptp.fun_Ex8598408993869023341t_bool) (A tptp.extended_enat) (B tptp.extended_enat)) (=> (forall ((A3 tptp.extended_enat) (B3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A3) B3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool P A3) B3)))) (=> (forall ((A3 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool P A3) A3))) (=> (forall ((A3 tptp.extended_enat) (B3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool P B3) A3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool P A3) B3)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool P A) B)))))))
% 16.70/16.90 (assume a2809 (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)))))))
% 16.70/16.90 (assume a2810 (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)))))))
% 16.70/16.90 (assume a2811 (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)))))))
% 16.70/16.90 (assume a2812 (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)))))))
% 16.70/16.90 (assume a2813 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) C))))))
% 16.70/16.90 (assume a2814 (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))))))
% 16.70/16.90 (assume a2815 (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))))))
% 16.70/16.90 (assume a2816 (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))))))
% 16.70/16.90 (assume a2817 (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))))))
% 16.70/16.90 (assume a2818 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2819 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2820 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2821 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2822 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)) (= X Y)))))
% 16.70/16.90 (assume a2823 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A))))))
% 16.70/16.90 (assume a2824 (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))))))
% 16.70/16.90 (assume a2825 (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))))))
% 16.70/16.90 (assume a2826 (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))))))
% 16.70/16.90 (assume a2827 (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))))))
% 16.70/16.90 (assume a2828 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (not (= A B)))))
% 16.70/16.90 (assume a2829 (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)))))
% 16.70/16.90 (assume a2830 (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)))))
% 16.70/16.90 (assume a2831 (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)))))
% 16.70/16.90 (assume a2832 (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)))))
% 16.70/16.90 (assume a2833 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (not (= A B)))))
% 16.70/16.90 (assume a2834 (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)))))
% 16.70/16.90 (assume a2835 (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)))))
% 16.70/16.90 (assume a2836 (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)))))
% 16.70/16.90 (assume a2837 (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)))))
% 16.70/16.90 (assume a2838 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2839 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2840 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2841 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2842 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2843 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2844 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2845 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2846 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2847 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2848 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2849 (forall ((X tptp.real) (Y tptp.real)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2850 (forall ((X tptp.num) (Y tptp.num)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2851 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2852 (forall ((X tptp.int) (Y tptp.int)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2853 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A))))))
% 16.70/16.90 (assume a2854 (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))))))
% 16.70/16.90 (assume a2855 (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))))))
% 16.70/16.90 (assume a2856 (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))))))
% 16.70/16.90 (assume a2857 (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))))))
% 16.70/16.90 (assume a2858 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) Z)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Z))))))
% 16.70/16.90 (assume a2859 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 16.70/16.90 (assume a2860 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 16.70/16.90 (assume a2861 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 16.70/16.90 (assume a2862 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 16.70/16.90 (assume a2863 (forall ((A tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (tptp.aa_Ext7969882492699152700d_enat F B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_Ext7969882492699152700d_enat F C))))))))
% 16.70/16.90 (assume a2864 (forall ((A tptp.real) (F tptp.fun_Ex1451620480498224165t_real) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (tptp.aa_Ext2541572767299617110t_real F B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_Ext2541572767299617110t_real F C))))))))
% 16.70/16.90 (assume a2865 (forall ((A tptp.num) (F tptp.fun_Ex8368542335153306515at_num) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (tptp.aa_Extended_enat_num F B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F X4)) (tptp.aa_Extended_enat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_Extended_enat_num F C))))))))
% 16.70/16.90 (assume a2866 (forall ((A tptp.nat) (F tptp.fun_Ex7660298398204468809at_nat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (tptp.aa_Extended_enat_nat F B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F X4)) (tptp.aa_Extended_enat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_Extended_enat_nat F C))))))))
% 16.70/16.90 (assume a2867 (forall ((A tptp.int) (F tptp.fun_Ex3482447378695272101at_int) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (= A (tptp.aa_Extended_enat_int F B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F X4)) (tptp.aa_Extended_enat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_Extended_enat_int F C))))))))
% 16.70/16.90 (assume a2868 (forall ((A tptp.extended_enat) (F tptp.fun_re6065469302365115155d_enat) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_rea1194391308913012860d_enat F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_rea1194391308913012860d_enat F C))))))))
% 16.70/16.90 (assume a2869 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.70/16.90 (assume a2870 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_real_num F C))))))))
% 16.70/16.90 (assume a2871 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_real_nat F C))))))))
% 16.70/16.90 (assume a2872 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_real_int F C))))))))
% 16.70/16.90 (assume a2873 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= (tptp.aa_Ext7969882492699152700d_enat F B) C) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F A)) C)))))))
% 16.70/16.90 (assume a2874 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex1451620480498224165t_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= (tptp.aa_Ext2541572767299617110t_real F B) C) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F A)) C)))))))
% 16.70/16.90 (assume a2875 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex8368542335153306515at_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= (tptp.aa_Extended_enat_num F B) C) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F X4)) (tptp.aa_Extended_enat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F A)) C)))))))
% 16.70/16.90 (assume a2876 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex7660298398204468809at_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= (tptp.aa_Extended_enat_nat F B) C) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F X4)) (tptp.aa_Extended_enat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F A)) C)))))))
% 16.70/16.90 (assume a2877 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex3482447378695272101at_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (= (tptp.aa_Extended_enat_int F B) C) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F X4)) (tptp.aa_Extended_enat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F A)) C)))))))
% 16.70/16.90 (assume a2878 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_re6065469302365115155d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_rea1194391308913012860d_enat F B) C) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F A)) C)))))))
% 16.70/16.90 (assume a2879 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.70/16.90 (assume a2880 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 16.70/16.90 (assume a2881 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 16.70/16.90 (assume a2882 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 16.70/16.90 (assume a2883 (forall ((X tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) X)))))
% 16.70/16.90 (assume a2884 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) X)))))
% 16.70/16.90 (assume a2885 (forall ((X tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) X)))))
% 16.70/16.90 (assume a2886 (forall ((X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X)))))
% 16.70/16.90 (assume a2887 (forall ((X tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) X)))))
% 16.70/16.90 (assume a2888 (forall ((A tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_Ext7969882492699152700d_enat F B))) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_Ext7969882492699152700d_enat F C))))))))
% 16.70/16.90 (assume a2889 (forall ((A tptp.extended_enat) (F tptp.fun_re6065469302365115155d_enat) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_rea1194391308913012860d_enat F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_rea1194391308913012860d_enat F C))))))))
% 16.70/16.90 (assume a2890 (forall ((A tptp.extended_enat) (F tptp.fun_nu2294053855564895909d_enat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_num_Extended_enat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F X4)) (tptp.aa_num_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_num_Extended_enat F C))))))))
% 16.70/16.90 (assume a2891 (forall ((A tptp.extended_enat) (F tptp.fun_na8797796813480665199d_enat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_nat_Extended_enat F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_nat_Extended_enat F C))))))))
% 16.70/16.90 (assume a2892 (forall ((A tptp.extended_enat) (F tptp.fun_in5914218760682845459d_enat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_int_Extended_enat F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_int_Extended_enat F X4)) (tptp.aa_int_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_int_Extended_enat F C))))))))
% 16.70/16.90 (assume a2893 (forall ((A tptp.real) (F tptp.fun_Ex1451620480498224165t_real) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_Ext2541572767299617110t_real F B))) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_Ext2541572767299617110t_real F C))))))))
% 16.70/16.90 (assume a2894 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.70/16.90 (assume a2895 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.70/16.90 (assume a2896 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 16.70/16.90 (assume a2897 (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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 16.70/16.90 (assume a2898 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F A)) C)))))))
% 16.70/16.90 (assume a2899 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex1451620480498224165t_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F A)) C)))))))
% 16.70/16.90 (assume a2900 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex8368542335153306515at_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F X4)) (tptp.aa_Extended_enat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_Extended_enat_num F A)) C)))))))
% 16.70/16.90 (assume a2901 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex7660298398204468809at_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F X4)) (tptp.aa_Extended_enat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_Extended_enat_nat F A)) C)))))))
% 16.70/16.90 (assume a2902 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex3482447378695272101at_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F X4)) (tptp.aa_Extended_enat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Extended_enat_int F A)) C)))))))
% 16.70/16.90 (assume a2903 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_re6065469302365115155d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F B)) C)) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F A)) C)))))))
% 16.70/16.90 (assume a2904 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.70/16.90 (assume a2905 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 16.70/16.90 (assume a2906 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 16.70/16.90 (assume a2907 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 16.70/16.90 (assume a2908 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2909 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2910 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2911 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2912 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2913 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X)) (tptp.pp P)))))
% 16.70/16.90 (assume a2914 (forall ((X tptp.real) (Y tptp.real) (P tptp.bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (tptp.pp P)))))
% 16.70/16.90 (assume a2915 (forall ((X tptp.num) (Y tptp.num) (P tptp.bool)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)) (tptp.pp P)))))
% 16.70/16.90 (assume a2916 (forall ((X tptp.nat) (Y tptp.nat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (tptp.pp P)))))
% 16.70/16.90 (assume a2917 (forall ((X tptp.int) (Y tptp.int) (P tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)) (tptp.pp P)))))
% 16.70/16.90 (assume a2918 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (= X Y) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X)))))
% 16.70/16.90 (assume a2919 (forall ((X tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 16.70/16.90 (assume a2920 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 16.70/16.90 (assume a2921 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 16.70/16.90 (assume a2922 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 16.70/16.90 (assume a2923 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2924 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2925 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2926 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2927 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= X Y)))))
% 16.70/16.90 (assume a2928 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (= Y X)))))
% 16.70/16.90 (assume a2929 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= Y X)))))
% 16.70/16.90 (assume a2930 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= Y X)))))
% 16.70/16.90 (assume a2931 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= Y X)))))
% 16.70/16.90 (assume a2932 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= Y X)))))
% 16.70/16.90 (assume a2933 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X))))))
% 16.70/16.90 (assume a2934 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 16.70/16.90 (assume a2935 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 16.70/16.90 (assume a2936 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 16.70/16.90 (assume a2937 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 16.70/16.90 (assume a2938 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (= A2 B2)))))
% 16.70/16.90 (assume a2939 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (= A2 B2)))))
% 16.70/16.90 (assume a2940 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_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_set_real B2) C4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) C4))))))
% 16.70/16.90 (assume a2941 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B2) C4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) C4))))))
% 16.70/16.90 (assume a2942 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)))))))
% 16.70/16.90 (assume a2943 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)))))))
% 16.70/16.90 (assume a2944 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) C4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) C4))))))
% 16.70/16.90 (assume a2945 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) C4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) C4))))))
% 16.70/16.90 (assume a2946 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))
% 16.70/16.90 (assume a2947 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)))))
% 16.70/16.90 (assume a2948 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q))) (forall ((X3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X3)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X3)))))))
% 16.70/16.90 (assume a2949 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex P)) (tptp.collect_complex Q))) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool P X3)) (tptp.pp (tptp.aa_complex_bool Q X3)))))))
% 16.70/16.90 (assume a2950 (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)))))))
% 16.70/16.90 (assume a2951 (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)))))))
% 16.70/16.90 (assume a2952 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_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)))))))
% 16.70/16.90 (assume a2953 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (= A2 B2) (and (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 B2) A2))))))
% 16.70/16.90 (assume a2954 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (= A2 B2) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2))))))
% 16.70/16.90 (assume a2955 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_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 B2) C4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) C4))))))
% 16.70/16.90 (assume a2956 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) C4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) C4))))))
% 16.70/16.90 (assume a2957 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X4)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q))))))
% 16.70/16.90 (assume a2958 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool P X4)) (tptp.pp (tptp.aa_complex_bool Q X4)))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex P)) (tptp.collect_complex Q))))))
% 16.70/16.90 (assume a2959 (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)))))
% 16.70/16.90 (assume a2960 (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))))))
% 16.70/16.90 (assume a2961 (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.ord_less_eq_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q))))))
% 16.70/16.90 (assume a2962 (forall ((A2 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) A2))))
% 16.70/16.90 (assume a2963 (forall ((A2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) A2))))
% 16.70/16.90 (assume a2964 (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)))))))
% 16.70/16.90 (assume a2965 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (forall ((T2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex T2) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex T2) B2)))))))
% 16.70/16.90 (assume a2966 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (forall ((T2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat T2) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat T2) B2)))))))
% 16.70/16.90 (assume a2967 (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)))))))
% 16.70/16.90 (assume a2968 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_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)))))))
% 16.70/16.90 (assume a2969 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (not (= A2 B2))))))
% 16.70/16.90 (assume a2970 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (not (= A2 B2))))))
% 16.70/16.90 (assume a2971 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)))))
% 16.70/16.90 (assume a2972 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)))))
% 16.70/16.90 (assume a2973 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))
% 16.70/16.90 (assume a2974 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)))))
% 16.70/16.90 (assume a2975 (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)))))))
% 16.70/16.90 (assume a2976 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B2)))))))
% 16.70/16.90 (assume a2977 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (forall ((X3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B2)))))))
% 16.70/16.90 (assume a2978 (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)))))))
% 16.70/16.90 (assume a2979 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_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)))))))
% 16.70/16.90 (assume a2980 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (= A2 B2) (not (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2))))))))
% 16.70/16.90 (assume a2981 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (= A2 B2) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2))))))))
% 16.70/16.90 (assume a2982 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) B2)) (not (=> (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 B2) A2)))))))
% 16.70/16.90 (assume a2983 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2)) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)))))))
% 16.70/16.90 (assume a2984 (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))))))
% 16.70/16.90 (assume a2985 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B2))))))
% 16.70/16.90 (assume a2986 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat) (C tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) B2))))))
% 16.70/16.90 (assume a2987 (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))))))
% 16.70/16.90 (assume a2988 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.90 (assume a2989 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X 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 X) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) B2))))))
% 16.70/16.90 (assume a2990 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) B2))))))
% 16.70/16.90 (assume a2991 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) B2))))))
% 16.70/16.90 (assume a2992 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X 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 X) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) B2))))))
% 16.70/16.90 (assume a2993 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) B2))))))
% 16.70/16.90 (assume a2994 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (C4 tptp.set_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 B2) C4)) (= (tptp.minus_minus_set_real B2 (tptp.minus_minus_set_real C4 A2)) A2)))))
% 16.70/16.90 (assume a2995 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (C4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) C4)) (= (tptp.minus_minus_set_nat B2 (tptp.minus_minus_set_nat C4 A2)) A2)))))
% 16.70/16.90 (assume a2996 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A2 B2)) A2))))
% 16.70/16.90 (assume a2997 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 B2)) A2))))
% 16.70/16.90 (assume a2998 (forall ((A2 tptp.set_real) (C4 tptp.set_real) (D4 tptp.set_real) (B2 tptp.set_real)) (=> (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 D4) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A2 B2)) (tptp.minus_minus_set_real C4 D4)))))))
% 16.70/16.90 (assume a2999 (forall ((A2 tptp.set_nat) (C4 tptp.set_nat) (D4 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) C4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat D4) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 B2)) (tptp.minus_minus_set_nat C4 D4)))))))
% 16.70/16.90 (assume a3000 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int)))))
% 16.70/16.90 (assume a3001 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R3) (tptp.aa_nat_nat tptp.suc N)) A))))))
% 16.70/16.90 (assume a3002 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N3)) Y)))))))
% 16.70/16.90 (assume a3003 (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 16.70/16.90 (assume a3004 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R3) N) A)))))))
% 16.70/16.90 (assume a3005 (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.aa_real_fun_nat_real tptp.power_power_real X4) N) A) (forall ((Y2 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y2)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y2) N) A)) (= Y2 X4)))))))))
% 16.70/16.90 (assume a3006 (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.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) (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.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.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) tptp.one_one_int)) A)))))
% 16.70/16.90 (assume a3007 (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.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) (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.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.divide_divide_int B) A)))))
% 16.70/16.90 (assume a3008 (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_a A2) (tptp.aTP_Lamm_a B2)))))
% 16.70/16.90 (assume a3009 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)) (tptp.ord_le4633831435867229666x_bool (tptp.aTP_Lamm_ab A2) (tptp.aTP_Lamm_ab B2)))))
% 16.70/16.90 (assume a3010 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (tptp.pp (tptp.aa_fun8663595511526100224l_bool (tptp.ord_le2468614981408567801t_bool (tptp.aTP_Lamm_aa A2)) (tptp.aTP_Lamm_aa B2))))))
% 16.70/16.90 (assume a3011 (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_ac A2) (tptp.aTP_Lamm_ac B2)))))
% 16.70/16.90 (assume a3012 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.ord_le8840051076831633728t_bool (tptp.aTP_Lamm_ae A2) (tptp.aTP_Lamm_ae B2)))))
% 16.70/16.90 (assume a3013 (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_av A2) P))) A2))))
% 16.70/16.90 (assume a3014 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_aw A2) P))) A2))))
% 16.70/16.90 (assume a3015 (forall ((A2 tptp.set_complex) (P tptp.fun_complex_bool)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_ax A2) P))) A2))))
% 16.70/16.90 (assume a3016 (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_ay A2) P)) A2)))
% 16.70/16.90 (assume a3017 (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_az A2) P))) A2))))
% 16.70/16.90 (assume a3018 (forall ((A2 tptp.set_nat) (P tptp.fun_nat_bool)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ba A2) P))) A2))))
% 16.70/16.90 (assume a3019 (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))))))))
% 16.70/16.90 (assume a3020 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))))))
% 16.70/16.90 (assume a3021 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 16.70/16.90 (assume a3022 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y))))))
% 16.70/16.90 (assume a3023 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y))))))
% 16.70/16.90 (assume a3024 (forall ((Y tptp.num) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))))))
% 16.70/16.90 (assume a3025 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 16.70/16.90 (assume a3026 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 16.70/16.90 (assume a3027 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X)))))
% 16.70/16.90 (assume a3028 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))
% 16.70/16.90 (assume a3029 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 16.70/16.90 (assume a3030 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 16.70/16.90 (assume a3031 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 16.70/16.90 (assume a3032 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B))) (or (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B))) (= A B)))))
% 16.70/16.90 (assume a3033 (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)))))
% 16.70/16.90 (assume a3034 (forall ((A tptp.set_real) (B tptp.set_real)) (= (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B))) (or (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))) (= A B)))))
% 16.70/16.90 (assume a3035 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (= A B)))))
% 16.70/16.90 (assume a3036 (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)))))
% 16.70/16.90 (assume a3037 (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)))))
% 16.70/16.90 (assume a3038 (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)))))
% 16.70/16.90 (assume a3039 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3040 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3041 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y))) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3042 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y))) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3043 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3044 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3045 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3046 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3047 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3048 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (= (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3049 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (= (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3050 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3051 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3052 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= X Y)))))
% 16.70/16.90 (assume a3053 (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)))))
% 16.70/16.90 (assume a3054 (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)))))
% 16.70/16.90 (assume a3055 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X)))))))
% 16.70/16.90 (assume a3056 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 16.70/16.90 (assume a3057 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)))))))
% 16.70/16.90 (assume a3058 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)))))))
% 16.70/16.90 (assume a3059 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))))
% 16.70/16.90 (assume a3060 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))))
% 16.70/16.90 (assume a3061 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))))
% 16.70/16.90 (assume a3062 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)))))
% 16.70/16.90 (assume a3063 (forall ((Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.90 (assume a3064 (forall ((Y tptp.num) (X tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)))))
% 16.70/16.90 (assume a3065 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)))))
% 16.70/16.90 (assume a3066 (forall ((Y tptp.int) (X tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)))))
% 16.70/16.90 (assume a3067 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (= A B)))))
% 16.70/16.90 (assume a3068 (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)))))
% 16.70/16.90 (assume a3069 (forall ((A tptp.set_real) (B tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B)) (= A B)))))
% 16.70/16.90 (assume a3070 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (= A B)))))
% 16.70/16.90 (assume a3071 (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)))))
% 16.70/16.90 (assume a3072 (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)))))
% 16.70/16.90 (assume a3073 (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)))))
% 16.70/16.90 (assume a3074 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (not (= A B))))))
% 16.70/16.90 (assume a3075 (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))))))
% 16.70/16.90 (assume a3076 (forall ((A tptp.set_real) (B tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (not (= A B))))))
% 16.70/16.90 (assume a3077 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (not (= A B))))))
% 16.70/16.90 (assume a3078 (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))))))
% 16.70/16.90 (assume a3079 (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))))))
% 16.70/16.90 (assume a3080 (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))))))
% 16.70/16.90 (assume a3081 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) C))))))
% 16.70/16.90 (assume a3082 (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))))))
% 16.70/16.90 (assume a3083 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) C)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) C))))))
% 16.70/16.90 (assume a3084 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) C))))))
% 16.70/16.90 (assume a3085 (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))))))
% 16.70/16.90 (assume a3086 (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))))))
% 16.70/16.90 (assume a3087 (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))))))
% 16.70/16.90 (assume a3088 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) C)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) C))))))
% 16.70/16.90 (assume a3089 (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))))))
% 16.70/16.90 (assume a3090 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) C)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) C))))))
% 16.70/16.90 (assume a3091 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) C))))))
% 16.70/16.90 (assume a3092 (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))))))
% 16.70/16.90 (assume a3093 (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))))))
% 16.70/16.90 (assume a3094 (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))))))
% 16.70/16.90 (assume a3095 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)))))))
% 16.70/16.90 (assume a3096 (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)))))))
% 16.70/16.90 (assume a3097 (forall ((A tptp.set_real) (B tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)))))))
% 16.70/16.90 (assume a3098 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)))))))
% 16.70/16.90 (assume a3099 (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)))))))
% 16.70/16.90 (assume a3100 (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)))))))
% 16.70/16.90 (assume a3101 (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)))))))
% 16.70/16.90 (assume a3102 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) W2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 16.70/16.90 (assume a3103 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W2) Z))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 16.70/16.90 (assume a3104 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (= A B)))))
% 16.70/16.90 (assume a3105 (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)))))
% 16.70/16.90 (assume a3106 (forall ((B tptp.set_real) (A tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) A)) (= A B)))))
% 16.70/16.90 (assume a3107 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (= A B)))))
% 16.70/16.90 (assume a3108 (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)))))
% 16.70/16.90 (assume a3109 (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)))))
% 16.70/16.90 (assume a3110 (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)))))
% 16.70/16.90 (assume a3111 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (not (= A B))))))
% 16.70/16.90 (assume a3112 (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))))))
% 16.70/16.90 (assume a3113 (forall ((B tptp.set_real) (A tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) A)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (not (= A B))))))
% 16.70/16.90 (assume a3114 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (not (= A B))))))
% 16.70/16.90 (assume a3115 (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))))))
% 16.70/16.90 (assume a3116 (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))))))
% 16.70/16.90 (assume a3117 (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))))))
% 16.70/16.90 (assume a3118 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A))))))
% 16.70/16.90 (assume a3119 (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))))))
% 16.70/16.90 (assume a3120 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real C) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real C) A))))))
% 16.70/16.90 (assume a3121 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A))))))
% 16.70/16.90 (assume a3122 (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))))))
% 16.70/16.90 (assume a3123 (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))))))
% 16.70/16.90 (assume a3124 (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))))))
% 16.70/16.90 (assume a3125 (forall ((B tptp.extended_enat) (A tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A))))))
% 16.70/16.90 (assume a3126 (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))))))
% 16.70/16.90 (assume a3127 (forall ((B tptp.set_real) (A tptp.set_real) (C tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) A)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real C) A))))))
% 16.70/16.90 (assume a3128 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A))))))
% 16.70/16.90 (assume a3129 (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))))))
% 16.70/16.90 (assume a3130 (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))))))
% 16.70/16.90 (assume a3131 (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))))))
% 16.70/16.90 (assume a3132 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)))))))
% 16.70/16.90 (assume a3133 (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)))))))
% 16.70/16.90 (assume a3134 (forall ((B tptp.set_real) (A tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) A)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)))))))
% 16.70/16.90 (assume a3135 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)))))))
% 16.70/16.90 (assume a3136 (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)))))))
% 16.70/16.90 (assume a3137 (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)))))))
% 16.70/16.90 (assume a3138 (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)))))))
% 16.70/16.90 (assume a3139 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)))))
% 16.70/16.90 (assume a3140 (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)))))
% 16.70/16.90 (assume a3141 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)))))
% 16.70/16.90 (assume a3142 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)))))
% 16.70/16.90 (assume a3143 (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)))))
% 16.70/16.90 (assume a3144 (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)))))
% 16.70/16.90 (assume a3145 (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)))))
% 16.70/16.90 (assume a3146 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) A)))))
% 16.70/16.90 (assume a3147 (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)))))
% 16.70/16.90 (assume a3148 (forall ((B tptp.set_real) (A tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) A)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) A)))))
% 16.70/16.90 (assume a3149 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)))))
% 16.70/16.90 (assume a3150 (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)))))
% 16.70/16.90 (assume a3151 (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)))))
% 16.70/16.90 (assume a3152 (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)))))
% 16.70/16.90 (assume a3153 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3154 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3155 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3156 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3157 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3158 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3159 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3160 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3161 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3162 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3163 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3164 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3165 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3166 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (= X Y))))))
% 16.70/16.90 (assume a3167 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X)))))
% 16.70/16.90 (assume a3168 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 16.70/16.90 (assume a3169 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 16.70/16.90 (assume a3170 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 16.70/16.90 (assume a3171 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 16.70/16.90 (assume a3172 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X)))))
% 16.70/16.90 (assume a3173 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))
% 16.70/16.90 (assume a3174 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 16.70/16.90 (assume a3175 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 16.70/16.90 (assume a3176 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 16.70/16.90 (assume a3177 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)))))
% 16.70/16.90 (assume a3178 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.90 (assume a3179 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)))))
% 16.70/16.90 (assume a3180 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)))))
% 16.70/16.90 (assume a3181 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 16.70/16.90 (assume a3182 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)))))
% 16.70/16.90 (assume a3183 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 16.70/16.90 (assume a3184 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B))))))
% 16.70/16.90 (assume a3185 (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))))))
% 16.70/16.90 (assume a3186 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B))))))
% 16.70/16.90 (assume a3187 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))))))
% 16.70/16.90 (assume a3188 (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))))))
% 16.70/16.90 (assume a3189 (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))))))
% 16.70/16.90 (assume a3190 (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))))))
% 16.70/16.90 (assume a3191 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B))))))
% 16.70/16.90 (assume a3192 (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))))))
% 16.70/16.90 (assume a3193 (forall ((A tptp.set_real) (B tptp.set_real)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) B))))))
% 16.70/16.90 (assume a3194 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))))))
% 16.70/16.90 (assume a3195 (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))))))
% 16.70/16.90 (assume a3196 (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))))))
% 16.70/16.90 (assume a3197 (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))))))
% 16.70/16.90 (assume a3198 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) Z)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Z))))))
% 16.70/16.90 (assume a3199 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 16.70/16.90 (assume a3200 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real Y) Z)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Z))))))
% 16.70/16.90 (assume a3201 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Z))))))
% 16.70/16.90 (assume a3202 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 16.70/16.90 (assume a3203 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 16.70/16.90 (assume a3204 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 16.70/16.90 (assume a3205 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (Z tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) Z)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Z))))))
% 16.70/16.90 (assume a3206 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 16.70/16.90 (assume a3207 (forall ((X tptp.set_real) (Y tptp.set_real) (Z tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) Z)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Z))))))
% 16.70/16.90 (assume a3208 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Z))))))
% 16.70/16.90 (assume a3209 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 16.70/16.90 (assume a3210 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 16.70/16.90 (assume a3211 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 16.70/16.90 (assume a3212 (forall ((A tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_Ext7969882492699152700d_enat F B))) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_Ext7969882492699152700d_enat F C))))))))
% 16.70/16.90 (assume a3213 (forall ((A tptp.real) (F tptp.fun_Ex1451620480498224165t_real) (B tptp.extended_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_Ext2541572767299617110t_real F B))) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_Ext2541572767299617110t_real F C))))))))
% 16.70/16.90 (assume a3214 (forall ((A tptp.extended_enat) (F tptp.fun_re6065469302365115155d_enat) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_rea1194391308913012860d_enat F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_rea1194391308913012860d_enat F C))))))))
% 16.70/16.90 (assume a3215 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.70/16.90 (assume a3216 (forall ((A tptp.extended_enat) (F tptp.fun_nu2294053855564895909d_enat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_num_Extended_enat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F X4)) (tptp.aa_num_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_num_Extended_enat F C))))))))
% 16.70/16.90 (assume a3217 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.70/16.90 (assume a3218 (forall ((A tptp.extended_enat) (F tptp.fun_na8797796813480665199d_enat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_nat_Extended_enat F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_nat_Extended_enat F C))))))))
% 16.70/16.90 (assume a3219 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 16.70/16.90 (assume a3220 (forall ((A tptp.extended_enat) (F tptp.fun_in5914218760682845459d_enat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) (tptp.aa_int_Extended_enat F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_int_Extended_enat F X4)) (tptp.aa_int_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_int_Extended_enat F C))))))))
% 16.70/16.90 (assume a3221 (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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 16.70/16.90 (assume a3222 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_nu2294053855564895909d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F B)) C)) (=> (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat F X4)) (tptp.aa_num_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F A)) C)))))))
% 16.70/16.90 (assume a3223 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 16.70/16.90 (assume a3224 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F A)) C)))))))
% 16.70/16.90 (assume a3225 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F A)) C)))))))
% 16.70/16.90 (assume a3226 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F A)) C)))))))
% 16.70/16.90 (assume a3227 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_na8797796813480665199d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F A)) C)))))))
% 16.70/16.90 (assume a3228 (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_eq_nat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X4)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F A)) C)))))))
% 16.70/16.90 (assume a3229 (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_num (tptp.aa_nat_num F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F A)) C)))))))
% 16.70/16.90 (assume a3230 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_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 (tptp.aa_nat_nat F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F A)) C)))))))
% 16.70/16.90 (assume a3231 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_int) (C tptp.int)) (=> (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_int (tptp.aa_nat_int F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F A)) C)))))))
% 16.70/16.90 (assume a3232 (forall ((A tptp.extended_enat) (F tptp.fun_nu2294053855564895909d_enat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_num_Extended_enat 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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat F X4)) (tptp.aa_num_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_num_Extended_enat F C))))))))
% 16.70/16.90 (assume a3233 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.70/16.90 (assume a3234 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F C))))))))
% 16.70/16.90 (assume a3235 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F C))))))))
% 16.70/16.90 (assume a3236 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F C))))))))
% 16.70/16.90 (assume a3237 (forall ((A tptp.extended_enat) (F tptp.fun_na8797796813480665199d_enat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_nat_Extended_enat 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) (tptp.aa_nat_Extended_enat F C))))))))
% 16.70/16.90 (assume a3238 (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_eq_nat B) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X4)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 16.70/16.90 (assume a3239 (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_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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_nat_num F C))))))))
% 16.70/16.90 (assume a3240 (forall ((A tptp.nat) (F tptp.fun_nat_nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X4)) (tptp.aa_nat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat F C))))))))
% 16.70/16.90 (assume a3241 (forall ((A tptp.int) (F tptp.fun_nat_int) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int 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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y3)) (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 F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int F C))))))))
% 16.70/16.90 (assume a3242 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex5852502975177633731d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F X4)) (tptp.aa_Ext7969882492699152700d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat F A)) C)))))))
% 16.70/16.90 (assume a3243 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (F tptp.fun_Ex1451620480498224165t_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_Ext2541572767299617110t_real F B)) C)) (=> (forall ((X4 tptp.extended_enat) (Y3 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F X4)) (tptp.aa_Ext2541572767299617110t_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Ext2541572767299617110t_real F A)) C)))))))
% 16.70/16.90 (assume a3244 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_re6065469302365115155d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_rea1194391308913012860d_enat F B)) C)) (=> (forall ((X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F A)) C)))))))
% 16.70/16.90 (assume a3245 (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) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.70/16.90 (assume a3246 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_nu2294053855564895909d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_num_Extended_enat F B)) C)) (=> (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F X4)) (tptp.aa_num_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_num_Extended_enat F A)) C)))))))
% 16.70/16.90 (assume a3247 (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) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 16.70/16.90 (assume a3248 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_na8797796813480665199d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F B)) C)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F A)) C)))))))
% 16.70/16.90 (assume a3249 (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) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F A)) C)))))))
% 16.70/16.90 (assume a3250 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_in5914218760682845459d_enat) (C tptp.extended_enat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_int_Extended_enat F B)) C)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_int_Extended_enat F X4)) (tptp.aa_int_Extended_enat F Y3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_int_Extended_enat F A)) C)))))))
% 16.70/16.90 (assume a3251 (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) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Y3)) (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 Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F A)) C)))))))
% 16.70/16.90 (assume a3252 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Y) X)))))
% 16.70/16.90 (assume a3253 (forall ((X tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 16.70/16.90 (assume a3254 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 16.70/16.90 (assume a3255 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 16.70/16.90 (assume a3256 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 16.70/16.90 (assume a3257 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3258 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3259 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3260 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3261 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3262 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3263 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y)))))
% 16.70/16.90 (assume a3264 (forall ((A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.bot_bo4199563552545308370d_enat)) (= A tptp.bot_bo4199563552545308370d_enat))))
% 16.70/16.90 (assume a3265 (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))))
% 16.70/16.90 (assume a3266 (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))))
% 16.70/16.90 (assume a3267 (forall ((A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 16.70/16.90 (assume a3268 (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))))
% 16.70/16.90 (assume a3269 (forall ((A tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) tptp.bot_bo4199563552545308370d_enat)) (= A tptp.bot_bo4199563552545308370d_enat))))
% 16.70/16.90 (assume a3270 (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))))
% 16.70/16.90 (assume a3271 (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))))
% 16.70/16.90 (assume a3272 (forall ((A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 16.70/16.90 (assume a3273 (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))))
% 16.70/16.90 (assume a3274 (forall ((A tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.bot_bo4199563552545308370d_enat) A))))
% 16.70/16.90 (assume a3275 (forall ((A tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A))))
% 16.70/16.90 (assume a3276 (forall ((A tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real tptp.bot_bot_set_real) A))))
% 16.70/16.90 (assume a3277 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A))))
% 16.70/16.90 (assume a3278 (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))))
% 16.70/16.90 (assume a3279 (forall ((A tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) tptp.bot_bot_set_nat)))))
% 16.70/16.90 (assume a3280 (forall ((A tptp.set_int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) tptp.bot_bot_set_int)))))
% 16.70/16.90 (assume a3281 (forall ((A tptp.set_real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A) tptp.bot_bot_set_real)))))
% 16.70/16.90 (assume a3282 (forall ((A tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) tptp.bot_bo4199563552545308370d_enat)))))
% 16.70/16.90 (assume a3283 (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)))))
% 16.70/16.90 (assume a3284 (forall ((A tptp.set_nat)) (= (not (= A tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat tptp.bot_bot_set_nat) A)))))
% 16.70/16.90 (assume a3285 (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)))))
% 16.70/16.90 (assume a3286 (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)))))
% 16.70/16.90 (assume a3287 (forall ((A tptp.extended_enat)) (= (not (= A tptp.bot_bo4199563552545308370d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.bot_bo4199563552545308370d_enat) A)))))
% 16.70/16.90 (assume a3288 (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)))))
% 16.70/16.90 (assume a3289 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X) Y)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y) Y))))
% 16.70/16.90 (assume a3290 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger X) Y)) (= (tptp.ord_max_Code_integer X Y) Y))))
% 16.70/16.90 (assume a3291 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (= (tptp.ord_max_set_real X Y) Y))))
% 16.70/16.90 (assume a3292 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (= (tptp.ord_max_set_nat X Y) Y))))
% 16.70/16.90 (assume a3293 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X) Y) Y))))
% 16.70/16.90 (assume a3294 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y) Y))))
% 16.70/16.90 (assume a3295 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y) Y))))
% 16.70/16.90 (assume a3296 (forall ((Y tptp.extended_enat) (X tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat Y) X)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y) X))))
% 16.70/16.90 (assume a3297 (forall ((Y tptp.code_integer) (X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger Y) X)) (= (tptp.ord_max_Code_integer X Y) X))))
% 16.70/16.90 (assume a3298 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)) (= (tptp.ord_max_set_real X Y) X))))
% 16.70/16.90 (assume a3299 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)) (= (tptp.ord_max_set_nat X Y) X))))
% 16.70/16.90 (assume a3300 (forall ((Y tptp.num) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X) Y) X))))
% 16.70/16.90 (assume a3301 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y) X))))
% 16.70/16.90 (assume a3302 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y) X))))
% 16.70/16.90 (assume a3303 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (and (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) B)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B))) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat A) B) A)))))
% 16.70/16.90 (assume a3304 (forall ((A tptp.code_integer) (B tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (= (tptp.ord_max_Code_integer A B) B)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B))) (= (tptp.ord_max_Code_integer A B) A)))))
% 16.70/16.90 (assume a3305 (forall ((A tptp.set_real) (B tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B)) (= (tptp.ord_max_set_real A B) B)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))) (= (tptp.ord_max_set_real A B) A)))))
% 16.70/16.90 (assume a3306 (forall ((A tptp.set_nat) (B tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.ord_max_set_nat A B) B)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (= (tptp.ord_max_set_nat A B) A)))))
% 16.70/16.90 (assume a3307 (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.aa_num_fun_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.aa_num_fun_num_num tptp.ord_max_num A) B) A)))))
% 16.70/16.90 (assume a3308 (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)))))
% 16.70/16.90 (assume a3309 (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)))))
% 16.70/16.90 (assume a3310 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_pred X Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu2 Uv2)) (=> (= Xa2 tptp.zero_zero_nat) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu2 Uv2) tptp.zero_zero_nat))))))) (=> (forall ((A3 tptp.bool) (Uw2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 Uw2)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 Uw2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (forall ((Va2 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)))))))))) (=> (forall ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va3)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va3) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vd2 Ve)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vd2 Ve) Xa2)))))) (=> (forall ((V2 tptp.product_prod_nat_nat) (Vh tptp.list_VEBT_VEBT) (Vi tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh Vi)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh Vi) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)) (= Y (tptp.some_nat Ma2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (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.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (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.vEBT_vebt_mint (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_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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_pred (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.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary2 (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.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) Xa2) (tptp.some_nat Mi2) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary2 (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.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_pred Summary2 (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.none_nat)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) Xa2)))))))))))))))))
% 16.70/16.90 (assume a3311 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_delete X Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse B3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) tptp.zero_zero_nat))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (= Y (tptp.vEBT_Leaf A3 tptp.fFalse)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (forall ((N3 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N3))) (=> (= Y (tptp.vEBT_Leaf A3 B3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N3)))))))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (=> (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst tptp.list_VEBT_VEBT) (Smry tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry)) (=> (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst Smry) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr tptp.list_VEBT_VEBT) (Sm tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm)) (=> (= Y (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.zero_zero_nat) Tr Sm)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (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 (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (tptp.if_VEBT_VEBT (tptp.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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (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.fequal_nat Xa2) Mi2)) (tptp.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 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(tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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))))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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_delete (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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))) (tptp.aa_nat_nat (tptp.aa_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.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary2))))))) 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.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_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2) Xa2)))))))))))))))))
% 16.70/16.90 (assume a3312 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2)) (=> (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts S2) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2)) (=> (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S2) Xa2)))))) (=> (forall ((V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList2 Summary2)) (=> (= Y (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.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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat 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.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.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.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.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)))))))))))))))
% 16.70/16.90 (assume a3313 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (=> (= X (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.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)) (=> (= X (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.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)) (=> (= X (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.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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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.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)))))))))))))))
% 16.70/16.90 (assume a3314 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (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)) (=> (= X (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.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)) (=> (= X (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.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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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))))))))))))))))))))))
% 16.70/16.90 (assume a3315 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (=> (= X (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2 Uw2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (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) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2) 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.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))))))))))))))
% 16.70/16.90 (assume a3316 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2) 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.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))))))))))))))
% 16.70/16.90 (assume a3317 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (=> (= X (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.vEBT_Node Uu2 tptp.zero_zero_nat Uv2 Uw2) Xa2)))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2)) (=> (= (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.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.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V2) TreeList2 S2) Xa2)))))))))))))
% 16.70/16.90 (assume a3318 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) Q2) Q2)))
% 16.70/16.90 (assume a3319 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat Q2) tptp.zero_z5237406670263579293d_enat) Q2)))
% 16.70/16.90 (assume a3320 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.90 (assume a3321 (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)))))
% 16.70/16.90 (assume a3322 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat M) N) tptp.zero_z5237406670263579293d_enat) (or (= M tptp.zero_z5237406670263579293d_enat) (= N tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.90 (assume a3323 (not (= tptp.zero_z5237406670263579293d_enat tptp.one_on7984719198319812577d_enat)))
% 16.70/16.90 (assume a3324 (= tptp.bot_bo4199563552545308370d_enat tptp.zero_z5237406670263579293d_enat))
% 16.70/16.90 (assume a3325 (forall ((K tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K)))))
% 16.70/16.90 (assume a3326 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc 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.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))))))))))))))))))))
% 16.70/16.90 (assume a3327 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (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)) (=> (= X (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.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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (= (tptp.pp Y) (or (= Xa2 Mi2) (= Xa2 Ma2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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.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) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2)) (=> (= (tptp.pp Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high 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.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.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2) Xa2)))))))))))))))
% 16.70/16.90 (assume a3328 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (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)) (=> (= X (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.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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) 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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2) 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.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))))))))))))))))
% 16.70/16.90 (assume a3329 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) 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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc 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.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) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList2 Vd2) 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.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)))))))))))))))
% 16.70/16.90 (assume a3330 (forall ((B tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) A)) (= (tptp.set_or5403411693681687835d_enat A B) tptp.bot_bo7653980558646680370d_enat))))
% 16.70/16.90 (assume a3331 (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))))
% 16.70/16.90 (assume a3332 (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_set_nat (tptp.set_or1269000886237332187st_nat A) B) tptp.bot_bot_set_nat))))
% 16.70/16.90 (assume a3333 (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))))
% 16.70/16.90 (assume a3334 (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))))
% 16.70/16.90 (assume a3335 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real) (D tptp.set_real)) (= (tptp.ord_le3558479182127378552t_real (tptp.set_or7743017856606604397t_real A B) (tptp.set_or7743017856606604397t_real C D)) (or (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) A)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) D)))))))
% 16.70/16.90 (assume a3336 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4548717258645045905et_nat A B) (tptp.set_or4548717258645045905et_nat C D)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)))))))
% 16.70/16.90 (assume a3337 (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)))))))
% 16.70/16.90 (assume a3338 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) 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)))))))
% 16.70/16.90 (assume a3339 (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)))))))
% 16.70/16.90 (assume a3340 (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)))))))
% 16.70/16.90 (assume a3341 (forall ((A tptp.set_real) (B tptp.set_real)) (= (= (tptp.set_or7743017856606604397t_real A B) tptp.bot_bot_set_set_real) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))))))
% 16.70/16.90 (assume a3342 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat A B) tptp.bot_bot_set_set_nat) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.70/16.90 (assume a3343 (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))))))
% 16.70/16.90 (assume a3344 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_set_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))))))
% 16.70/16.90 (assume a3345 (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))))))
% 16.70/16.90 (assume a3346 (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))))))
% 16.70/16.90 (assume a3347 (forall ((A tptp.set_real) (B tptp.set_real)) (= (= tptp.bot_bot_set_set_real (tptp.set_or7743017856606604397t_real A B)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))))))
% 16.70/16.90 (assume a3348 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= tptp.bot_bot_set_set_nat (tptp.set_or4548717258645045905et_nat A B)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.70/16.90 (assume a3349 (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))))))
% 16.70/16.90 (assume a3350 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_nat_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))))))
% 16.70/16.90 (assume a3351 (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))))))
% 16.70/16.90 (assume a3352 (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))))))
% 16.70/16.90 (assume a3353 (forall ((L tptp.set_real) (H tptp.set_real) (L2 tptp.set_real) (H2 tptp.set_real)) (= (= (tptp.set_or7743017856606604397t_real L H) (tptp.set_or7743017856606604397t_real L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real L) H))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real L2) H2))))))))
% 16.70/16.90 (assume a3354 (forall ((L tptp.set_nat) (H tptp.set_nat) (L2 tptp.set_nat) (H2 tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat L H) (tptp.set_or4548717258645045905et_nat L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) H))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L2) H2))))))))
% 16.70/16.90 (assume a3355 (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))))))))
% 16.70/16.90 (assume a3356 (forall ((L tptp.nat) (H tptp.nat) (L2 tptp.nat) (H2 tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) H) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat 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))))))))
% 16.70/16.90 (assume a3357 (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))))))))
% 16.70/16.90 (assume a3358 (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))))))))
% 16.70/16.90 (assume a3359 (forall ((I2 tptp.set_real) (L tptp.set_real) (U tptp.set_real)) (= (tptp.member_set_real I2 (tptp.set_or7743017856606604397t_real L U)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real L) I2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real I2) U))))))
% 16.70/16.90 (assume a3360 (forall ((I2 tptp.set_nat) (L tptp.set_nat) (U tptp.set_nat)) (= (tptp.member_set_nat I2 (tptp.set_or4548717258645045905et_nat L U)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) I2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat I2) U))))))
% 16.70/16.90 (assume a3361 (forall ((I2 tptp.num) (L tptp.num) (U tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I2) (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) I2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I2) U))))))
% 16.70/16.90 (assume a3362 (forall ((I2 tptp.nat) (L tptp.nat) (U tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) U))))))
% 16.70/16.90 (assume a3363 (forall ((I2 tptp.int) (L tptp.int) (U tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) (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) I2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) U))))))
% 16.70/16.90 (assume a3364 (forall ((I2 tptp.real) (L tptp.real) (U tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) (tptp.set_or1222579329274155063t_real L U))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) I2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I2) U))))))
% 16.70/16.90 (assume a3365 (forall ((P tptp.fun_nat_bool) (X tptp.nat) (M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X)) (=> (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) M7)))) (not (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P M5)) (not (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) M5))))))))))))
% 16.70/16.90 (assume a3366 (forall ((X tptp.produc8114805097830739791at_num)) (not (forall ((F2 tptp.fun_nat_fun_num_num) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.num)) (not (= X (tptp.produc460779904311030791at_num F2 (tptp.produc1195630363706982562at_num A3 (tptp.product_Pair_nat_num B3 Acc)))))))))
% 16.70/16.90 (assume a3367 (forall ((X tptp.produc9217583074051984497at_nat)) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.nat)) (not (= X (tptp.produc2818902965508115497at_nat F2 (tptp.produc487386426758144856at_nat A3 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B3) Acc)))))))))
% 16.70/16.90 (assume a3368 (forall ((A tptp.extended_enat) (B tptp.extended_enat) (C tptp.extended_enat) (D tptp.extended_enat)) (= (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.ord_le2529575680413868914d_enat (tptp.set_or5403411693681687835d_enat A B)) (tptp.set_or5403411693681687835d_enat C D))) (and (or (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat A) B))) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B) D)) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat C) A)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B) D))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat C) D))))))
% 16.70/16.90 (assume a3369 (forall ((A tptp.set_real) (B tptp.set_real) (C tptp.set_real) (D tptp.set_real)) (= (tptp.ord_le7926960851185191020t_real (tptp.set_or7743017856606604397t_real A B) (tptp.set_or7743017856606604397t_real C D)) (and (or (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) B))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) A)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B) D)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real C) A)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real B) D))))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C) D))))))
% 16.70/16.90 (assume a3370 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_less_set_set_nat (tptp.set_or4548717258645045905et_nat A B) (tptp.set_or4548717258645045905et_nat C D)) (and (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) D))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) D))))))
% 16.70/16.90 (assume a3371 (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))))))
% 16.70/16.90 (assume a3372 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D))) (and (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) 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))))))
% 16.70/16.90 (assume a3373 (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))))))
% 16.70/16.90 (assume a3374 (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))))))
% 16.70/16.90 (assume a3375 (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))))
% 16.70/16.90 (assume a3376 (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))))
% 16.70/16.90 (assume a3377 (forall ((A tptp.code_integer)) (= (tptp.bit_se8260200283734997820nteger tptp.zero_zero_nat A) (tptp.aa_Cod1783974652533396728nteger (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)))))))
% 16.70/16.90 (assume a3378 (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)))))))
% 16.70/16.90 (assume a3379 (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)))))))
% 16.70/16.90 (assume a3380 (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 ((D5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D5)) (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)) D5))) (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)))))))
% 16.70/16.90 (assume a3381 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 16.70/16.90 (assume a3382 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 16.70/16.90 (assume a3383 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 16.70/16.90 (assume a3384 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 16.70/16.90 (assume a3385 (forall ((Q2 tptp.nat) (R tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R))) (= R tptp.zero_zero_nat))))
% 16.70/16.90 (assume a3386 (forall ((Q2 tptp.int) (R tptp.int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool tptp.unique6319869463603278526ux_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R))) (= R tptp.zero_zero_int))))
% 16.70/16.90 (assume a3387 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.90 (assume a3388 (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.modulo_modulo_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.70/16.90 (assume a3389 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 16.70/16.90 (assume a3390 (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)))
% 16.70/16.90 (assume a3391 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 16.70/16.90 (assume a3392 (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))))
% 16.70/16.90 (assume a3393 (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))))
% 16.70/16.90 (assume a3394 (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))))
% 16.70/16.90 (assume a3395 (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))))
% 16.70/16.90 (assume a3396 (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.minus_minus_int A) B)) B) (tptp.aa_int_int (tptp.modulo_modulo_int A) B))))
% 16.70/16.90 (assume a3397 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.90 (assume a3398 (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)))))
% 16.70/16.90 (assume a3399 (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))))
% 16.70/16.90 (assume a3400 (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)))
% 16.70/16.90 (assume a3401 (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)))
% 16.70/16.90 (assume a3402 (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)))
% 16.70/16.90 (assume a3403 (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)))
% 16.70/16.90 (assume a3404 (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)))
% 16.70/16.90 (assume a3405 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 16.70/16.90 (assume a3406 (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)))
% 16.70/16.90 (assume a3407 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 16.70/16.90 (assume a3408 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A B) B) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a3409 (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)))
% 16.70/16.90 (assume a3410 (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)))
% 16.70/16.90 (assume a3411 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A B) B) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a3412 (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)))
% 16.70/16.90 (assume a3413 (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)))
% 16.70/16.90 (assume a3414 (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))))
% 16.70/16.90 (assume a3415 (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))))
% 16.70/16.90 (assume a3416 (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))))
% 16.70/16.90 (assume a3417 (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))))
% 16.70/16.90 (assume a3418 (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))))
% 16.70/16.90 (assume a3419 (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))))
% 16.70/16.90 (assume a3420 (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))))
% 16.70/16.90 (assume a3421 (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))))
% 16.70/16.90 (assume a3422 (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)))
% 16.70/16.90 (assume a3423 (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))))
% 16.70/16.90 (assume a3424 (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))))
% 16.70/16.90 (assume a3425 (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))))
% 16.70/16.90 (assume a3426 (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))))
% 16.70/16.90 (assume a3427 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.70/16.90 (assume a3428 (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.70/16.90 (assume a3429 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.70/16.90 (assume a3430 (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.70/16.90 (assume a3431 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a3432 (forall ((K tptp.num) (N tptp.nat)) (=> (not (= (tptp.aa_num_nat tptp.numeral_numeral_nat K) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) N))) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_nat))))
% 16.70/16.90 (assume a3433 (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))))
% 16.70/16.90 (assume a3434 (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))))
% 16.70/16.90 (assume a3435 (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))))
% 16.70/16.90 (assume a3436 (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))))
% 16.70/16.90 (assume a3437 (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))))
% 16.70/16.90 (assume a3438 (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)))
% 16.70/16.90 (assume a3439 (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))))
% 16.70/16.90 (assume a3440 (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.times_times_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.times_times_nat A) B)) C))))
% 16.70/16.90 (assume a3441 (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.times_times_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.times_times_int A) B)) C))))
% 16.70/16.90 (assume a3442 (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.times_times_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.times_times_nat A) B)) C))))
% 16.70/16.90 (assume a3443 (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.times_times_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.times_times_int A) B)) C))))
% 16.70/16.90 (assume a3444 (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) (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.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B)))))
% 16.70/16.90 (assume a3445 (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) (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)))))
% 16.70/16.90 (assume a3446 (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.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.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) C))))
% 16.70/16.90 (assume a3447 (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.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.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) C))))
% 16.70/16.90 (assume a3448 (forall ((A tptp.nat) (C tptp.nat) (A5 tptp.nat) (B tptp.nat) (B5 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 A5) 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 B5) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A5) B5)) C))))))
% 16.70/16.90 (assume a3449 (forall ((A tptp.int) (C tptp.int) (A5 tptp.int) (B tptp.int) (B5 tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.modulo_modulo_int A5) C)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int B) C) (tptp.aa_int_int (tptp.modulo_modulo_int B5) C)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A5) B5)) C))))))
% 16.70/16.90 (assume a3450 (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.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat 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.times_times_nat A) B)) C))))
% 16.70/16.90 (assume a3451 (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.times_times_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.times_times_int A) B)) C))))
% 16.70/16.90 (assume a3452 (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))))
% 16.70/16.90 (assume a3453 (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))))
% 16.70/16.90 (assume a3454 (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))))
% 16.70/16.90 (assume a3455 (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))))
% 16.70/16.90 (assume a3456 (forall ((A tptp.nat) (C tptp.nat) (A5 tptp.nat) (B tptp.nat) (B5 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 A5) 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 B5) 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 A5) B5)) C))))))
% 16.70/16.90 (assume a3457 (forall ((A tptp.int) (C tptp.int) (A5 tptp.int) (B tptp.int) (B5 tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.modulo_modulo_int A5) C)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int B) C) (tptp.aa_int_int (tptp.modulo_modulo_int B5) 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 A5) B5)) C))))))
% 16.70/16.90 (assume a3458 (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))))
% 16.70/16.90 (assume a3459 (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))))
% 16.70/16.90 (assume a3460 (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.minus_minus_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.minus_minus_int A) B)) C))))
% 16.70/16.90 (assume a3461 (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.minus_minus_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.minus_minus_int A) B)) C))))
% 16.70/16.90 (assume a3462 (forall ((A tptp.int) (C tptp.int) (A5 tptp.int) (B tptp.int) (B5 tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.modulo_modulo_int A5) C)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int B) C) (tptp.aa_int_int (tptp.modulo_modulo_int B5) C)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A5) B5)) C))))))
% 16.70/16.90 (assume a3463 (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.minus_minus_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.minus_minus_int A) B)) C))))
% 16.70/16.90 (assume a3464 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) N)) 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.power_power_nat A) N)) B))))
% 16.70/16.90 (assume a3465 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) N)) B) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int A) N)) B))))
% 16.70/16.90 (assume a3466 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) N))))
% 16.70/16.90 (assume a3467 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 16.70/16.90 (assume a3468 (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))))
% 16.70/16.90 (assume a3469 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K)) K))))
% 16.70/16.90 (assume a3470 (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)))))
% 16.70/16.90 (assume a3471 (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)))))
% 16.70/16.90 (assume a3472 (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)))))
% 16.70/16.90 (assume a3473 (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)))))
% 16.70/16.90 (assume a3474 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2))))))
% 16.70/16.90 (assume a3475 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q2))))))
% 16.70/16.90 (assume a3476 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.modulo364778990260209775nteger A B) A) (= (tptp.divide6298287555418463151nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.90 (assume a3477 (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))))
% 16.70/16.90 (assume a3478 (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))))
% 16.70/16.90 (assume a3479 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 16.70/16.90 (assume a3480 (forall ((M tptp.num) (N tptp.num)) (= (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 tptp.one)) (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)))))
% 16.70/16.90 (assume a3481 (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 ((D2 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) D2)))))))))
% 16.70/16.90 (assume a3482 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B C)) C)))))
% 16.70/16.90 (assume a3483 (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)))))
% 16.70/16.90 (assume a3484 (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)))))
% 16.70/16.90 (assume a3485 (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)))))))
% 16.70/16.90 (assume a3486 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (P2 tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) P2)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) P2)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc N3)) P2)))))) (tptp.pp (tptp.aa_nat_bool P M))))))))
% 16.70/16.90 (assume a3487 (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)))))
% 16.70/16.90 (assume a3488 (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))))
% 16.70/16.90 (assume a3489 (forall ((M tptp.nat) (D tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) D) tptp.zero_zero_nat) (exists ((Q3 tptp.nat)) (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat D) Q3))))))
% 16.70/16.90 (assume a3490 (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))))))
% 16.70/16.90 (assume a3491 (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)))))
% 16.70/16.90 (assume a3492 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (exists ((Q1 tptp.nat) (Q22 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q22)))))))
% 16.70/16.90 (assume a3493 (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)))))
% 16.70/16.90 (assume a3494 (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)))))
% 16.70/16.90 (assume a3495 (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)))))
% 16.70/16.90 (assume a3496 (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))))))
% 16.70/16.90 (assume a3497 (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))))))
% 16.70/16.90 (assume a3498 (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))))
% 16.70/16.90 (assume a3499 (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))))
% 16.70/16.90 (assume a3500 (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)))
% 16.70/16.90 (assume a3501 (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)))
% 16.70/16.90 (assume a3502 (forall ((Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.90 (assume a3503 (forall ((Q2 tptp.num) (N tptp.num)) (not (= (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.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.90 (assume a3504 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.90 (assume a3505 (forall ((M 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.bit0 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)))))))
% 16.70/16.90 (assume a3506 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B)) (tptp.modulo364778990260209775nteger A B)) A)))
% 16.70/16.90 (assume a3507 (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)))
% 16.70/16.90 (assume a3508 (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)))
% 16.70/16.90 (assume a3509 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B))) A)))
% 16.70/16.90 (assume a3510 (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)))
% 16.70/16.90 (assume a3511 (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)))
% 16.70/16.90 (assume a3512 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B)) A)))
% 16.70/16.90 (assume a3513 (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)))
% 16.70/16.90 (assume a3514 (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)))
% 16.70/16.90 (assume a3515 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)) A)))
% 16.70/16.90 (assume a3516 (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)))
% 16.70/16.90 (assume a3517 (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)))
% 16.70/16.90 (assume a3518 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)))))
% 16.70/16.90 (assume a3519 (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)))))
% 16.70/16.90 (assume a3520 (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)))))
% 16.70/16.90 (assume a3521 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 16.70/16.90 (assume a3522 (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))))
% 16.70/16.90 (assume a3523 (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))))
% 16.70/16.90 (assume a3524 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B)) (tptp.modulo364778990260209775nteger A B)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 16.70/16.90 (assume a3525 (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))))
% 16.70/16.90 (assume a3526 (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))))
% 16.70/16.90 (assume a3527 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) C) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.modulo364778990260209775nteger B C)) C)))))
% 16.70/16.90 (assume a3528 (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)))))
% 16.70/16.90 (assume a3529 (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)))))
% 16.70/16.90 (assume a3530 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B))) (tptp.modulo364778990260209775nteger A B))))
% 16.70/16.90 (assume a3531 (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))))
% 16.70/16.90 (assume a3532 (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))))
% 16.70/16.90 (assume a3533 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger A B)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B)))))
% 16.70/16.90 (assume a3534 (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)))))
% 16.70/16.90 (assume a3535 (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)))))
% 16.70/16.90 (assume a3536 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger A B)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B))))
% 16.70/16.90 (assume a3537 (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))))
% 16.70/16.90 (assume a3538 (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))))
% 16.70/16.90 (assume a3539 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B)) (tptp.modulo364778990260209775nteger A B))))
% 16.70/16.90 (assume a3540 (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))))
% 16.70/16.90 (assume a3541 (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))))
% 16.70/16.90 (assume a3542 (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)))))
% 16.70/16.90 (assume a3543 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (exists ((Q3 tptp.nat)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3))))))))
% 16.70/16.90 (assume a3544 (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 ((S2 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) S2))))))))))
% 16.70/16.90 (assume a3545 (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 ((S2 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) S2))))))))))
% 16.70/16.90 (assume a3546 (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)))))
% 16.70/16.90 (assume a3547 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) N)))))
% 16.70/16.90 (assume a3548 (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))))))))))
% 16.70/16.90 (assume a3549 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se8260200283734997820nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))
% 16.70/16.90 (assume a3550 (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)))))))))
% 16.70/16.90 (assume a3551 (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)))))))))
% 16.70/16.90 (assume a3552 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A B) C)) (tptp.modulo364778990260209775nteger A B))))))
% 16.70/16.90 (assume a3553 (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))))))
% 16.70/16.90 (assume a3554 (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))))))
% 16.70/16.90 (assume a3555 (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))))
% 16.70/16.90 (assume a3556 (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))))))
% 16.70/16.90 (assume a3557 (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))))))
% 16.70/16.90 (assume a3558 (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))))
% 16.70/16.90 (assume a3559 (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))))
% 16.70/16.90 (assume a3560 (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))))
% 16.70/16.90 (assume a3561 (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)))))
% 16.70/16.90 (assume a3562 (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)))))
% 16.70/16.90 (assume a3563 (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)))))
% 16.70/16.90 (assume a3564 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.90 (assume a3565 (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))))))
% 16.70/16.90 (assume a3566 (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))))))
% 16.70/16.90 (assume a3567 (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))))))
% 16.70/16.90 (assume a3568 (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))))))
% 16.70/16.90 (assume a3569 (forall ((M tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) M)) M)))))))
% 16.70/16.90 (assume a3570 (forall ((M tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (or (= (tptp.aa_int_int (tptp.modulo_modulo_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_int_int (tptp.modulo_modulo_int X) M)) (= (tptp.aa_int_int (tptp.modulo_modulo_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int X) M)) M)))))))
% 16.70/16.90 (assume a3571 (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)))))))
% 16.70/16.90 (assume a3572 (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)))))))
% 16.70/16.90 (assume a3573 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se2793503036327961859nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))
% 16.70/16.90 (assume a3574 (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)))))))))
% 16.70/16.90 (assume a3575 (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)))))))))
% 16.70/16.90 (assume a3576 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) tptp.one_one_Code_integer) (tptp.divide6298287555418463151nteger A B)))))))
% 16.70/16.90 (assume a3577 (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)))))))
% 16.70/16.90 (assume a3578 (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)))))))
% 16.70/16.90 (assume a3579 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 16.70/16.90 (assume a3580 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 16.70/16.90 (assume a3581 (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)))))))
% 16.70/16.90 (assume a3582 (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)))))
% 16.70/16.90 (assume a3583 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1345352211410354436nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))
% 16.70/16.90 (assume a3584 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.90 (assume a3585 (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)))))))))
% 16.70/16.90 (assume a3586 (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)))))))))
% 16.70/16.90 (assume a3587 (forall ((N tptp.nat) (Xs tptp.list_num) (Ys tptp.list_num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_num Xs)) (tptp.size_size_list_num Ys)))) (= (tptp.nth_Pr6456567536196504476um_num (tptp.product_num_num Xs Ys) N) (tptp.product_Pair_num_num (tptp.aa_nat_num (tptp.nth_num Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_num Ys))) (tptp.aa_nat_num (tptp.nth_num Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_num Ys))))))))
% 16.70/16.90 (assume a3588 (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))))))))
% 16.70/16.90 (assume a3589 (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))))))))
% 16.70/16.90 (assume a3590 (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))))))))
% 16.70/16.90 (assume a3591 (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))))))))
% 16.70/16.90 (assume a3592 (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))))))))
% 16.70/16.90 (assume a3593 (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))))))))
% 16.70/16.90 (assume a3594 (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))))))))
% 16.70/16.90 (assume a3595 (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))))))))
% 16.70/16.90 (assume a3596 (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))))))))
% 16.70/16.90 (assume a3597 (forall ((X tptp.nat) (Z tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set A2) Z)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (= A2 B2) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set A2) X) X_1)))))))))
% 16.70/16.90 (assume a3598 (forall ((Z tptp.nat) (X tptp.nat) (A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set A2) Z)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set A2) X) X_1))))))))
% 16.70/16.90 (assume a3599 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.vEBT_VEBT_set_vebt T))))))
% 16.70/16.90 (assume a3600 (forall ((Xs tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set Xs) A) X_1)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat Xs)) (not (exists ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) A)))))))))
% 16.70/16.90 (assume a3601 (forall ((Xs tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) A) X_1)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat Xs)) (not (exists ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) X2)))))))))
% 16.70/16.90 (assume a3602 (forall ((X22 tptp.num) (Y22 tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit0 Y22)) (= X22 Y22))))
% 16.70/16.90 (assume a3603 (forall ((A tptp.code_integer) (B tptp.bool) (A5 tptp.code_integer) (B5 tptp.bool)) (= (= (tptp.produc5135875973608410785r_bool A B) (tptp.produc5135875973608410785r_bool A5 B5)) (and (= A A5) (= (tptp.pp B) (tptp.pp B5))))))
% 16.70/16.90 (assume a3604 (forall ((A tptp.num) (B tptp.num) (A5 tptp.num) (B5 tptp.num)) (= (= (tptp.product_Pair_num_num A B) (tptp.product_Pair_num_num A5 B5)) (and (= A A5) (= B B5)))))
% 16.70/16.90 (assume a3605 (forall ((A tptp.nat) (B tptp.num) (A5 tptp.nat) (B5 tptp.num)) (= (= (tptp.product_Pair_nat_num A B) (tptp.product_Pair_nat_num A5 B5)) (and (= A A5) (= B B5)))))
% 16.70/16.90 (assume a3606 (forall ((A tptp.nat) (B tptp.nat) (A5 tptp.nat) (B5 tptp.nat)) (= (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A5) B5)) (and (= A A5) (= B B5)))))
% 16.70/16.90 (assume a3607 (forall ((A tptp.int) (B tptp.int) (A5 tptp.int) (B5 tptp.int)) (= (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A5) B5)) (and (= A A5) (= B B5)))))
% 16.70/16.90 (assume a3608 (forall ((X1 tptp.code_integer) (X22 tptp.bool) (Y1 tptp.code_integer) (Y22 tptp.bool)) (= (= (tptp.produc5135875973608410785r_bool X1 X22) (tptp.produc5135875973608410785r_bool Y1 Y22)) (and (= X1 Y1) (= (tptp.pp X22) (tptp.pp Y22))))))
% 16.70/16.90 (assume a3609 (forall ((X1 tptp.num) (X22 tptp.num) (Y1 tptp.num) (Y22 tptp.num)) (= (= (tptp.product_Pair_num_num X1 X22) (tptp.product_Pair_num_num Y1 Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 16.70/16.90 (assume a3610 (forall ((X1 tptp.nat) (X22 tptp.num) (Y1 tptp.nat) (Y22 tptp.num)) (= (= (tptp.product_Pair_nat_num X1 X22) (tptp.product_Pair_nat_num Y1 Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 16.70/16.90 (assume a3611 (forall ((X1 tptp.nat) (X22 tptp.nat) (Y1 tptp.nat) (Y22 tptp.nat)) (= (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X22) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 16.70/16.90 (assume a3612 (forall ((X1 tptp.int) (X22 tptp.int) (Y1 tptp.int) (Y22 tptp.int)) (= (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X1) X22) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 16.70/16.90 (assume a3613 (forall ((Xs tptp.list_VEBT_VEBT)) (tptp.finite5795047828879050333T_VEBT (tptp.set_VEBT_VEBT2 Xs))))
% 16.70/16.90 (assume a3614 (forall ((Xs tptp.list_int)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.set_int2 Xs)))))
% 16.70/16.90 (assume a3615 (forall ((Xs tptp.list_nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_nat2 Xs)))))
% 16.70/16.90 (assume a3616 (forall ((Xs tptp.list_complex)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.set_complex2 Xs)))))
% 16.70/16.90 (assume a3617 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.90 (assume a3618 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 16.70/16.90 (assume a3619 (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)))))
% 16.70/16.90 (assume a3620 (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)))))
% 16.70/16.90 (assume a3621 (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)))))
% 16.70/16.90 (assume a3622 (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)))))
% 16.70/16.90 (assume a3623 (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)))))
% 16.70/16.90 (assume a3624 (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)))))
% 16.70/16.90 (assume a3625 (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)))))
% 16.70/16.90 (assume a3626 (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)))))
% 16.70/16.90 (assume a3627 (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)))))
% 16.70/16.90 (assume a3628 (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)))))
% 16.70/16.90 (assume a3629 (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)))))
% 16.70/16.90 (assume a3630 (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)))))
% 16.70/16.90 (assume a3631 (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)))))
% 16.70/16.90 (assume a3632 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 16.70/16.90 (assume a3633 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) N2)) (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 N2)))))
% 16.70/16.90 (assume a3634 (forall ((N2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N2)) (exists ((M6 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) M6))))))))
% 16.70/16.90 (assume a3635 (forall ((N2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N2)) (exists ((M6 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) M6))))))))
% 16.70/16.90 (assume a3636 (forall ((A2 tptp.set_VEBT_VEBT)) (=> (tptp.finite5795047828879050333T_VEBT A2) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 Xs2) A2)))))
% 16.70/16.90 (assume a3637 (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)))))
% 16.70/16.90 (assume a3638 (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)))))
% 16.70/16.90 (assume a3639 (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)))))
% 16.70/16.90 (assume a3640 (forall ((P tptp.fun_nat_bool) (I2 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_bb P) I2))))))
% 16.70/16.90 (assume a3641 (forall ((F tptp.fun_nat_nat) (U tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N3) (tptp.aa_nat_nat F N3)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_bc F) U)))))))
% 16.70/16.90 (assume a3642 (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_bd A2) N))))))
% 16.70/16.90 (assume a3643 (forall ((A2 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.finite5795047828879050333T_VEBT A2) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_be A2) N))))))
% 16.70/16.90 (assume a3644 (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_bf A2) N))))))
% 16.70/16.90 (assume a3645 (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_bg A2) N))))))
% 16.70/16.90 (assume a3646 (forall ((A2 tptp.set_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.finite306553202115118035t_real (tptp.collect_list_real (tptp.aa_nat4570152432052498854l_bool (tptp.aTP_Lamm_bh A2) N))))))
% 16.70/16.90 (assume a3647 (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_bi A2) N))))))
% 16.70/16.90 (assume a3648 (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))))))
% 16.70/16.90 (assume a3649 (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)))))
% 16.70/16.90 (assume a3650 (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)))))))
% 16.70/16.90 (assume a3651 (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_bj A2) N))))))
% 16.70/16.90 (assume a3652 (forall ((A2 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.finite5795047828879050333T_VEBT A2) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_bk A2) N))))))
% 16.70/16.90 (assume a3653 (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_bl A2) N))))))
% 16.70/16.90 (assume a3654 (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_bm A2) N))))))
% 16.70/16.90 (assume a3655 (forall ((A2 tptp.set_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.finite306553202115118035t_real (tptp.collect_list_real (tptp.aa_nat4570152432052498854l_bool (tptp.aTP_Lamm_bn A2) N))))))
% 16.70/16.90 (assume a3656 (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_bo A2) N))))))
% 16.70/16.90 (assume a3657 (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))))))
% 16.70/16.90 (assume a3658 (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)))))
% 16.70/16.90 (assume a3659 (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))))))
% 16.70/16.90 (assume a3660 (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))))))
% 16.70/16.90 (assume a3661 (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))))))
% 16.70/16.90 (assume a3662 (forall ((A tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) A))))
% 16.70/16.90 (assume a3663 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) A))))
% 16.70/16.90 (assume a3664 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 16.70/16.90 (assume a3665 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 16.70/16.90 (assume a3666 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 16.70/16.90 (assume a3667 (forall ((A tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) A)))))
% 16.70/16.90 (assume a3668 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 16.70/16.90 (assume a3669 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 16.70/16.90 (assume a3670 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 16.70/16.90 (assume a3671 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 16.70/16.90 (assume a3672 (forall ((A tptp.code_integer) (B tptp.bool) (A5 tptp.code_integer) (B5 tptp.bool)) (=> (= (tptp.produc5135875973608410785r_bool A B) (tptp.produc5135875973608410785r_bool A5 B5)) (not (=> (= A A5) (= (tptp.pp B) (not (tptp.pp B5))))))))
% 16.70/16.90 (assume a3673 (forall ((A tptp.num) (B tptp.num) (A5 tptp.num) (B5 tptp.num)) (=> (= (tptp.product_Pair_num_num A B) (tptp.product_Pair_num_num A5 B5)) (not (=> (= A A5) (not (= B B5)))))))
% 16.70/16.90 (assume a3674 (forall ((A tptp.nat) (B tptp.num) (A5 tptp.nat) (B5 tptp.num)) (=> (= (tptp.product_Pair_nat_num A B) (tptp.product_Pair_nat_num A5 B5)) (not (=> (= A A5) (not (= B B5)))))))
% 16.70/16.90 (assume a3675 (forall ((A tptp.nat) (B tptp.nat) (A5 tptp.nat) (B5 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A5) B5)) (not (=> (= A A5) (not (= B B5)))))))
% 16.70/16.90 (assume a3676 (forall ((A tptp.int) (B tptp.int) (A5 tptp.int) (B5 tptp.int)) (=> (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A5) B5)) (not (=> (= A A5) (not (= B B5)))))))
% 16.70/16.90 (assume a3677 (forall ((P tptp.fun_Pr8281063099935739201l_bool) (P2 tptp.produc7417142470700560111r_bool)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (tptp.pp (tptp.aa_Pro6456355659118895914l_bool P (tptp.produc5135875973608410785r_bool A3 B3)))) (tptp.pp (tptp.aa_Pro6456355659118895914l_bool P P2)))))
% 16.70/16.90 (assume a3678 (forall ((P tptp.fun_Pr6287530515171585797m_bool) (P2 tptp.product_prod_num_num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (tptp.pp (tptp.aa_Pro762926636801165566m_bool P (tptp.product_Pair_num_num A3 B3)))) (tptp.pp (tptp.aa_Pro762926636801165566m_bool P P2)))))
% 16.70/16.90 (assume a3679 (forall ((P tptp.fun_Pr1727971692872576719m_bool) (P2 tptp.product_prod_nat_num)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool P (tptp.product_Pair_nat_num A3 B3)))) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool P P2)))))
% 16.70/16.90 (assume a3680 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (P2 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P P2)))))
% 16.70/16.90 (assume a3681 (forall ((P tptp.fun_Pr803113274115125473t_bool) (P2 tptp.product_prod_int_int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool P (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool P P2)))))
% 16.70/16.90 (assume a3682 (forall ((P2 tptp.produc7417142470700560111r_bool)) (exists ((X4 tptp.code_integer) (Y3 tptp.bool)) (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)))))
% 16.70/16.90 (assume a3683 (forall ((P2 tptp.product_prod_num_num)) (exists ((X4 tptp.num) (Y3 tptp.num)) (= P2 (tptp.product_Pair_num_num X4 Y3)))))
% 16.70/16.90 (assume a3684 (forall ((P2 tptp.product_prod_nat_num)) (exists ((X4 tptp.nat) (Y3 tptp.num)) (= P2 (tptp.product_Pair_nat_num X4 Y3)))))
% 16.70/16.90 (assume a3685 (forall ((P2 tptp.product_prod_nat_nat)) (exists ((X4 tptp.nat) (Y3 tptp.nat)) (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)))))
% 16.70/16.90 (assume a3686 (forall ((P2 tptp.product_prod_int_int)) (exists ((X4 tptp.int) (Y3 tptp.int)) (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Y3)))))
% 16.70/16.90 (assume a3687 (forall ((Y tptp.produc7417142470700560111r_bool)) (not (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (not (= Y (tptp.produc5135875973608410785r_bool A3 B3)))))))
% 16.70/16.90 (assume a3688 (forall ((Y tptp.product_prod_num_num)) (not (forall ((A3 tptp.num) (B3 tptp.num)) (not (= Y (tptp.product_Pair_num_num A3 B3)))))))
% 16.70/16.90 (assume a3689 (forall ((Y tptp.product_prod_nat_num)) (not (forall ((A3 tptp.nat) (B3 tptp.num)) (not (= Y (tptp.product_Pair_nat_num A3 B3)))))))
% 16.70/16.90 (assume a3690 (forall ((Y tptp.product_prod_nat_nat)) (not (forall ((A3 tptp.nat) (B3 tptp.nat)) (not (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)))))))
% 16.70/16.90 (assume a3691 (forall ((Y tptp.product_prod_int_int)) (not (forall ((A3 tptp.int) (B3 tptp.int)) (not (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)))))))
% 16.70/16.90 (assume a3692 (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))))))
% 16.70/16.90 (assume a3693 (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))))))
% 16.70/16.90 (assume a3694 (forall ((B5 tptp.extended_enat) (A5 tptp.extended_enat)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat B5) A5))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A5) B5)))))
% 16.70/16.90 (assume a3695 (forall ((B5 tptp.real) (A5 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B5) A5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A5) B5)))))
% 16.70/16.90 (assume a3696 (forall ((B5 tptp.num) (A5 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B5) A5))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A5) B5)))))
% 16.70/16.90 (assume a3697 (forall ((B5 tptp.nat) (A5 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B5) A5))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A5) B5)))))
% 16.70/16.90 (assume a3698 (forall ((B5 tptp.int) (A5 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B5) A5))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A5) B5)))))
% 16.70/16.90 (assume a3699 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.zero_zero_complex) A)))
% 16.70/16.90 (assume a3700 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.70/16.90 (assume a3701 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.70/16.90 (assume a3702 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.70/16.90 (assume a3703 (forall ((X22 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 X22)))))
% 16.70/16.90 (assume a3704 (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.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) (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.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.modulo_modulo_int B) A)))))))
% 16.70/16.90 (assume a3705 (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.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) (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.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) tptp.one_one_int)) A))) tptp.one_one_int)))))
% 16.70/16.90 (assume a3706 (forall ((X2 tptp.extended_enat) (Xa tptp.extended_enat)) (and (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X2) Xa)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X2) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X2) Xa))) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X2) Xa) X2)))))
% 16.70/16.90 (assume a3707 (forall ((X2 tptp.code_integer) (Xa tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger X2) Xa)) (= (tptp.ord_max_Code_integer X2 Xa) Xa)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger X2) Xa))) (= (tptp.ord_max_Code_integer X2 Xa) X2)))))
% 16.70/16.90 (assume a3708 (forall ((X2 tptp.set_real) (Xa tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X2) Xa)) (= (tptp.ord_max_set_real X2 Xa) Xa)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X2) Xa))) (= (tptp.ord_max_set_real X2 Xa) X2)))))
% 16.70/16.90 (assume a3709 (forall ((X2 tptp.set_nat) (Xa tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X2) Xa)) (= (tptp.ord_max_set_nat X2 Xa) Xa)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X2) Xa))) (= (tptp.ord_max_set_nat X2 Xa) X2)))))
% 16.70/16.90 (assume a3710 (forall ((X2 tptp.num) (Xa tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Xa)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X2) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) Xa))) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X2) Xa) X2)))))
% 16.70/16.90 (assume a3711 (forall ((X2 tptp.nat) (Xa tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Xa)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Xa))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X2) Xa) X2)))))
% 16.70/16.90 (assume a3712 (forall ((X2 tptp.int) (Xa tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) Xa))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X2) Xa) X2)))))
% 16.70/16.90 (assume a3713 (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_bp K))))))
% 16.70/16.90 (assume a3714 (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_bq K))))))
% 16.70/16.90 (assume a3715 (forall ((A2 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.finite6551019134538273531omplex (tptp.collect_set_complex (tptp.aTP_Lamm_br A2))))))
% 16.70/16.90 (assume a3716 (forall ((A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.finite9007344921179782393t_real (tptp.collect_set_real (tptp.aTP_Lamm_bs A2))))))
% 16.70/16.90 (assume a3717 (forall ((A2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.finite1152437895449049373et_nat (tptp.collect_set_nat (tptp.aTP_Lamm_bt A2))))))
% 16.70/16.90 (assume a3718 (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_bu N)))))))
% 16.70/16.90 (assume a3719 (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.aTP_Lamm_bv N)))))))
% 16.70/16.90 (assume a3720 (forall ((I6 tptp.set_int) (X tptp.fun_in5914218760682845459d_enat) (Y tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_bw I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_bw I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aa_fun835910427463898891t_bool (tptp.aTP_Lamm_bx I6) X) Y))))))))
% 16.70/16.90 (assume a3721 (forall ((I6 tptp.set_real) (X tptp.fun_re6065469302365115155d_enat) (Y tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_by I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_by I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aa_fun7045632274848354187l_bool (tptp.aTP_Lamm_bz I6) X) Y))))))))
% 16.70/16.90 (assume a3722 (forall ((I6 tptp.set_nat) (X tptp.fun_na8797796813480665199d_enat) (Y tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_ca I6) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_ca I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aa_fun4377515372666875239t_bool (tptp.aTP_Lamm_cb I6) X) Y))))))))
% 16.70/16.90 (assume a3723 (forall ((I6 tptp.set_complex) (X tptp.fun_co6496365337113880337d_enat) (Y tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cc I6) X)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cc I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aa_fun2531438059775479945x_bool (tptp.aTP_Lamm_cd I6) X) Y))))))))
% 16.70/16.90 (assume a3724 (forall ((I6 tptp.set_int) (X 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_ce I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_ce 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_cf I6) X) Y))))))))
% 16.70/16.90 (assume a3725 (forall ((I6 tptp.set_real) (X 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_cg I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_cg 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_ch I6) X) Y))))))))
% 16.70/16.90 (assume a3726 (forall ((I6 tptp.set_nat) (X 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_ci I6) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_ci 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_cj I6) X) Y))))))))
% 16.70/16.90 (assume a3727 (forall ((I6 tptp.set_complex) (X 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_ck I6) X)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_ck 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_cl I6) X) Y))))))))
% 16.70/16.90 (assume a3728 (forall ((I6 tptp.set_int) (X 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_cm I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_cm 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_cn I6) X) Y))))))))
% 16.70/16.90 (assume a3729 (forall ((I6 tptp.set_real) (X 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_co I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_co 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_cp I6) X) Y))))))))
% 16.70/16.90 (assume a3730 (forall ((I6 tptp.set_int) (X tptp.fun_in5914218760682845459d_enat) (Y tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_cq I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_cq I6) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun4487572259248890797t_bool (tptp.aa_fun835910427463898891t_bool (tptp.aTP_Lamm_cr I6) X) Y))))))))
% 16.70/16.90 (assume a3731 (forall ((I6 tptp.set_real) (X tptp.fun_re6065469302365115155d_enat) (Y tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_cs I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_cs I6) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun6946925781749317805l_bool (tptp.aa_fun7045632274848354187l_bool (tptp.aTP_Lamm_ct I6) X) Y))))))))
% 16.70/16.90 (assume a3732 (forall ((I6 tptp.set_nat) (X tptp.fun_na8797796813480665199d_enat) (Y tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_cu I6) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_cu I6) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun768124332470527661t_bool (tptp.aa_fun4377515372666875239t_bool (tptp.aTP_Lamm_cv I6) X) Y))))))))
% 16.70/16.90 (assume a3733 (forall ((I6 tptp.set_complex) (X tptp.fun_co6496365337113880337d_enat) (Y tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cw I6) X)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cw I6) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun188178923259853101x_bool (tptp.aa_fun2531438059775479945x_bool (tptp.aTP_Lamm_cx I6) X) Y))))))))
% 16.70/16.90 (assume a3734 (forall ((I6 tptp.set_int) (X 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_cy I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun8146511558608327279t_bool (tptp.aTP_Lamm_cy 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_cz I6) X) Y))))))))
% 16.70/16.90 (assume a3735 (forall ((I6 tptp.set_real) (X 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_da I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun3813300650643916655l_bool (tptp.aTP_Lamm_da 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_db I6) X) Y))))))))
% 16.70/16.90 (assume a3736 (forall ((I6 tptp.set_nat) (X 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_dc I6) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun8004580481347240231t_bool (tptp.aTP_Lamm_dc 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_dd I6) X) Y))))))))
% 16.70/16.90 (assume a3737 (forall ((I6 tptp.set_complex) (X 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_de I6) X)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun9073502203726719595x_bool (tptp.aTP_Lamm_de 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_df I6) X) Y))))))))
% 16.70/16.90 (assume a3738 (forall ((I6 tptp.set_int) (X 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_dg I6) X)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_dg 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_dh I6) X) Y))))))))
% 16.70/16.90 (assume a3739 (forall ((I6 tptp.set_real) (X 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_di I6) X)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_di 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_dj I6) X) Y))))))))
% 16.70/16.90 (assume a3740 (forall ((B tptp.int) (A tptp.int) (Q2 tptp.int) (R tptp.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_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R)) tptp.one_one_int))))))))
% 16.70/16.90 (assume a3741 (forall ((M7 tptp.set_list_VEBT_VEBT)) (=> (tptp.finite3004134309566078307T_VEBT M7) (exists ((N3 tptp.nat)) (forall ((X2 tptp.list_VEBT_VEBT)) (=> (tptp.member2936631157270082147T_VEBT X2 M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT X2)) N3))))))))
% 16.70/16.90 (assume a3742 (forall ((M7 tptp.set_list_bool)) (=> (tptp.finite7866827932528546246t_bool M7) (exists ((N3 tptp.nat)) (forall ((X2 tptp.list_bool)) (=> (tptp.member_list_bool X2 M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool X2)) N3))))))))
% 16.70/16.90 (assume a3743 (forall ((M7 tptp.set_list_nat)) (=> (tptp.finite8100373058378681591st_nat M7) (exists ((N3 tptp.nat)) (forall ((X2 tptp.list_nat)) (=> (tptp.member_list_nat X2 M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat X2)) N3))))))))
% 16.70/16.90 (assume a3744 (forall ((M7 tptp.set_list_int)) (=> (tptp.finite3922522038869484883st_int M7) (exists ((N3 tptp.nat)) (forall ((X2 tptp.list_int)) (=> (tptp.member_list_int X2 M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int X2)) N3))))))))
% 16.70/16.90 (assume a3745 (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))))))))))
% 16.70/16.90 (assume a3746 (forall ((A2 tptp.set_set_real) (A tptp.set_real)) (=> (tptp.finite9007344921179782393t_real A2) (=> (tptp.member_set_real A A2) (exists ((X4 tptp.set_real)) (and (tptp.member_set_real X4 A2) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A) X4)) (forall ((Xa tptp.set_real)) (=> (tptp.member_set_real Xa A2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) Xa)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3747 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.finite1152437895449049373et_nat A2) (=> (tptp.member_set_nat A A2) (exists ((X4 tptp.set_nat)) (and (tptp.member_set_nat X4 A2) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) X4)) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X4) Xa)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3748 (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))))))))))
% 16.70/16.90 (assume a3749 (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))))))))))
% 16.70/16.90 (assume a3750 (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))))))))))
% 16.70/16.90 (assume a3751 (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))))))))))
% 16.70/16.90 (assume a3752 (forall ((A2 tptp.set_set_real) (A tptp.set_real)) (=> (tptp.finite9007344921179782393t_real A2) (=> (tptp.member_set_real A A2) (exists ((X4 tptp.set_real)) (and (tptp.member_set_real X4 A2) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) A)) (forall ((Xa tptp.set_real)) (=> (tptp.member_set_real Xa A2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Xa) X4)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3753 (forall ((A2 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.finite1152437895449049373et_nat A2) (=> (tptp.member_set_nat A A2) (exists ((X4 tptp.set_nat)) (and (tptp.member_set_nat X4 A2) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X4) A)) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Xa) X4)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3754 (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))))))))))
% 16.70/16.90 (assume a3755 (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))))))))))
% 16.70/16.90 (assume a3756 (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))))))))))
% 16.70/16.90 (assume a3757 (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))))))
% 16.70/16.90 (assume a3758 (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.pp (tptp.aa_set_real_bool tptp.finite_finite_real B2)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2))))))
% 16.70/16.90 (assume a3759 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.90 (assume a3760 (forall ((S tptp.set_complex) (T3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)))))))
% 16.70/16.90 (assume a3761 (forall ((S tptp.set_real) (T3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S) T3)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)))))))
% 16.70/16.90 (assume a3762 (forall ((S tptp.set_nat) (T3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S) T3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)))))))
% 16.70/16.90 (assume a3763 (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))))))
% 16.70/16.90 (assume a3764 (forall ((B2 tptp.set_real) (A2 tptp.set_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.finite_finite_real A2))))))
% 16.70/16.90 (assume a3765 (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.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))))))
% 16.70/16.90 (assume a3766 (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))))))))))
% 16.70/16.90 (assume a3767 (forall ((A2 tptp.set_set_real)) (=> (tptp.finite9007344921179782393t_real A2) (=> (not (= A2 tptp.bot_bot_set_set_real)) (exists ((X4 tptp.set_real)) (and (tptp.member_set_real X4 A2) (forall ((Xa tptp.set_real)) (=> (tptp.member_set_real Xa A2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X4) Xa)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3768 (forall ((A2 tptp.set_set_nat)) (=> (tptp.finite1152437895449049373et_nat A2) (=> (not (= A2 tptp.bot_bot_set_set_nat)) (exists ((X4 tptp.set_nat)) (and (tptp.member_set_nat X4 A2) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X4) Xa)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3769 (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))))))))))
% 16.70/16.90 (assume a3770 (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))))))))))
% 16.70/16.90 (assume a3771 (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))))))))))
% 16.70/16.90 (assume a3772 (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))))))))))
% 16.70/16.90 (assume a3773 (forall ((A2 tptp.set_set_real)) (=> (tptp.finite9007344921179782393t_real A2) (=> (not (= A2 tptp.bot_bot_set_set_real)) (exists ((X4 tptp.set_real)) (and (tptp.member_set_real X4 A2) (forall ((Xa tptp.set_real)) (=> (tptp.member_set_real Xa A2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Xa) X4)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3774 (forall ((A2 tptp.set_set_nat)) (=> (tptp.finite1152437895449049373et_nat A2) (=> (not (= A2 tptp.bot_bot_set_set_nat)) (exists ((X4 tptp.set_nat)) (and (tptp.member_set_nat X4 A2) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Xa) X4)) (= X4 Xa))))))))))
% 16.70/16.90 (assume a3775 (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))))))))))
% 16.70/16.90 (assume a3776 (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))))))))))
% 16.70/16.90 (assume a3777 (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))))))))))
% 16.70/16.90 (assume a3778 (forall ((B tptp.int) (A tptp.int) (Q2 tptp.int) (R tptp.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_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R)))))))))
% 16.70/16.90 (assume a3779 (= (tptp.aa_real_real tptp.arcosh_real tptp.one_one_real) tptp.zero_zero_real))
% 16.70/16.90 (assume a3780 (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_dk N) C)))))))
% 16.70/16.90 (assume a3781 (forall ((P tptp.fun_nat_fun_nat_bool) (M tptp.nat) (N tptp.nat)) (=> (forall ((M5 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M5) tptp.zero_zero_nat))) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P N3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M5) N3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M5) N3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N))))))
% 16.70/16.90 (assume a3782 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat tptp.suc N) K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_concat_bit N (tptp.aa_int_int (tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) L))))))
% 16.70/16.90 (assume a3783 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.90 (assume a3784 (= (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))))
% 16.70/16.90 (assume a3785 (= (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))))
% 16.70/16.90 (assume a3786 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_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))))))))
% 16.70/16.90 (assume a3787 (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))))))))
% 16.70/16.90 (assume a3788 (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))))))))
% 16.70/16.90 (assume a3789 (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))))
% 16.70/16.90 (assume a3790 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger A B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)))))
% 16.70/16.90 (assume a3791 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.70/16.90 (assume a3792 (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)))))
% 16.70/16.90 (assume a3793 (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)))))
% 16.70/16.90 (assume a3794 (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)))))
% 16.70/16.90 (assume a3795 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)))))
% 16.70/16.90 (assume a3796 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) A))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.70/16.90 (assume a3797 (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)))))
% 16.70/16.90 (assume a3798 (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)))))
% 16.70/16.90 (assume a3799 (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)))))
% 16.70/16.90 (assume a3800 (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)))))
% 16.70/16.90 (assume a3801 (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))))
% 16.70/16.90 (assume a3802 (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)))))))
% 16.70/16.90 (assume a3803 (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)))))))
% 16.70/16.90 (assume a3804 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger B A)) (tptp.divide6298287555418463151nteger C A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) C)))))))
% 16.70/16.90 (assume a3805 (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))))))
% 16.70/16.90 (assume a3806 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit tptp.zero_zero_nat K) L) L)))
% 16.70/16.90 (assume a3807 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 16.70/16.90 (assume a3808 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real tptp.zero_zero_real) tptp.zero_zero_real))
% 16.70/16.90 (assume a3809 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int tptp.zero_zero_int) tptp.zero_zero_int))
% 16.70/16.90 (assume a3810 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B))) (or (= C tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B))))))
% 16.70/16.90 (assume a3811 (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))))))
% 16.70/16.90 (assume a3812 (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))))))
% 16.70/16.90 (assume a3813 (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))))))
% 16.70/16.90 (assume a3814 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C))) (or (= C tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B))))))
% 16.70/16.90 (assume a3815 (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))))))
% 16.70/16.90 (assume a3816 (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))))))
% 16.70/16.90 (assume a3817 (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))))))
% 16.70/16.90 (assume a3818 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) C))))))
% 16.70/16.90 (assume a3819 (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))))))
% 16.70/16.90 (assume a3820 (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))))))
% 16.70/16.90 (assume a3821 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) C))))))
% 16.70/16.90 (assume a3822 (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))))))
% 16.70/16.90 (assume a3823 (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))))))
% 16.70/16.90 (assume a3824 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A) B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)))))
% 16.70/16.90 (assume a3825 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) B))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.70/16.90 (assume a3826 (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)))))
% 16.70/16.90 (assume a3827 (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)))))
% 16.70/16.90 (assume a3828 (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)))))
% 16.70/16.90 (assume a3829 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)))))
% 16.70/16.90 (assume a3830 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) (tptp.aa_complex_complex (tptp.times_times_complex C) A)))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.70/16.90 (assume a3831 (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)))))
% 16.70/16.90 (assume a3832 (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)))))
% 16.70/16.90 (assume a3833 (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)))))
% 16.70/16.90 (assume a3834 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) tptp.one_one_Code_integer))))))
% 16.70/16.90 (assume a3835 (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))))))
% 16.70/16.90 (assume a3836 (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))))))
% 16.70/16.90 (assume a3837 (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))))
% 16.70/16.90 (assume a3838 (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))))
% 16.70/16.90 (assume a3839 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B A)) A) B))))
% 16.70/16.90 (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.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) A)) B))))
% 16.70/16.90 (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.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.divide_divide_int B) A)) B))))
% 16.70/16.90 (assume a3842 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B A)) B))))
% 16.70/16.90 (assume a3843 (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)))))))
% 16.70/16.90 (assume a3844 (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)))))))
% 16.70/16.90 (assume a3845 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)))))))
% 16.70/16.90 (assume a3846 (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))))))
% 16.70/16.90 (assume a3847 (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))))))
% 16.70/16.90 (assume a3848 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B)) tptp.one_one_Code_integer))))))
% 16.70/16.90 (assume a3849 (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)))))
% 16.70/16.90 (assume a3850 (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)))))
% 16.70/16.90 (assume a3851 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) tptp.one_one_Code_integer)))))
% 16.70/16.90 (assume a3852 (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))))
% 16.70/16.90 (assume a3853 (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))))
% 16.70/16.90 (assume a3854 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) A))))
% 16.70/16.90 (assume a3855 (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)))))))
% 16.70/16.90 (assume a3856 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger A B) C) (tptp.minus_8373710615458151222nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)))))))
% 16.70/16.90 (assume a3857 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_concat_bit N K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L)))))
% 16.70/16.90 (assume a3858 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)))))
% 16.70/16.90 (assume a3859 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 K)))))
% 16.70/16.90 (assume a3860 (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)))))
% 16.70/16.90 (assume a3861 (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)))))
% 16.70/16.90 (assume a3862 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.90 (assume a3863 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.90 (assume a3864 (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)))))
% 16.70/16.90 (assume a3865 (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)))))
% 16.70/16.90 (assume a3866 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) (tptp.divide6298287555418463151nteger B A)))))
% 16.70/16.90 (assume a3867 (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))))
% 16.70/16.90 (assume a3868 (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))))
% 16.70/16.90 (assume a3869 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B A)) A) B))))
% 16.70/16.90 (assume a3870 (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))))))
% 16.70/16.90 (assume a3871 (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))))))
% 16.70/16.90 (assume a3872 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B))) (or (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.90 (assume a3873 (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.times_times_nat A) B))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.90 (assume a3874 (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.times_times_int A) B))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.90 (assume a3875 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))))
% 16.70/16.90 (assume a3876 (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))))))))
% 16.70/16.90 (assume a3877 (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))))))))
% 16.70/16.90 (assume a3878 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.90 (assume a3879 (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))))))
% 16.70/16.90 (assume a3880 (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))))))
% 16.70/16.90 (assume a3881 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.90 (assume a3882 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.90 (assume a3883 (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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.90 (assume a3884 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.90 (assume a3885 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.90 (assume a3886 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 16.70/16.90 (assume a3887 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 16.70/16.90 (assume a3888 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 16.70/16.90 (assume a3889 (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))))))
% 16.70/16.90 (assume a3890 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 16.70/16.90 (assume a3891 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 16.70/16.90 (assume a3892 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.90 (assume a3893 (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))))))
% 16.70/16.90 (assume a3894 (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))))))
% 16.70/16.90 (assume a3895 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B))))))
% 16.70/16.90 (assume a3896 (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))))))
% 16.70/16.90 (assume a3897 (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))))
% 16.70/16.90 (assume a3898 (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)))))))
% 16.70/16.90 (assume a3899 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 16.70/16.90 (assume a3900 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_int))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 16.70/16.90 (assume a3901 (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)))))))
% 16.70/16.90 (assume a3902 (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)))))))
% 16.70/16.90 (assume a3903 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_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)))))))
% 16.70/16.90 (assume a3904 (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)))))
% 16.70/16.90 (assume a3905 (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)))))
% 16.70/16.90 (assume a3906 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_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)))))
% 16.70/16.90 (assume a3907 (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)))))))
% 16.70/16.90 (assume a3908 (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)))))))
% 16.70/16.90 (assume a3909 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_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)))))))
% 16.70/16.90 (assume a3910 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_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.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))))))
% 16.70/16.90 (assume a3911 (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))))))
% 16.70/16.90 (assume a3912 (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))))))
% 16.70/16.90 (assume a3913 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 16.70/16.90 (assume a3914 (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))))
% 16.70/16.90 (assume a3915 (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))))
% 16.70/16.90 (assume a3916 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (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))))
% 16.70/16.90 (assume a3917 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_real)))))))
% 16.70/16.90 (assume a3918 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_int)))))))
% 16.70/16.90 (assume a3919 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_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))))
% 16.70/16.90 (assume a3920 (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))))
% 16.70/16.90 (assume a3921 (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))))
% 16.70/16.90 (assume a3922 (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)))))))
% 16.70/16.90 (assume a3923 (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)))))))
% 16.70/16.90 (assume a3924 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_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)))))))
% 16.70/16.90 (assume a3925 (forall ((P2 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B))) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X4) Y3)) (=> (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 Y3) B))))))))))
% 16.70/16.90 (assume a3926 (forall ((P2 tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int P2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))) (not (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (= P2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X4) Y3)) (=> (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 Y3) B))))))))))
% 16.70/16.90 (assume a3927 (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 ((B6 tptp.nat) (C5 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B6) C5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B6) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C5) C)))))))
% 16.70/16.90 (assume a3928 (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 ((B6 tptp.int) (C5 tptp.int)) (and (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B6) C5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B6) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C5) C)))))))
% 16.70/16.90 (assume a3929 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (not (forall ((K2 tptp.code_integer)) (not (= A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) K2))))))))
% 16.70/16.90 (assume a3930 (forall ((B tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex B) A)) (not (forall ((K2 tptp.complex)) (not (= A (tptp.aa_complex_complex (tptp.times_times_complex B) K2))))))))
% 16.70/16.90 (assume a3931 (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 ((K2 tptp.real)) (not (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) K2))))))))
% 16.70/16.90 (assume a3932 (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 ((K2 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) K2))))))))
% 16.70/16.90 (assume a3933 (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 ((K2 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) K2))))))))
% 16.70/16.90 (assume a3934 (forall ((A tptp.code_integer) (B tptp.code_integer) (K tptp.code_integer)) (=> (= A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) K)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)))))
% 16.70/16.90 (assume a3935 (forall ((A tptp.complex) (B tptp.complex) (K tptp.complex)) (=> (= A (tptp.aa_complex_complex (tptp.times_times_complex B) K)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex B) A)))))
% 16.70/16.90 (assume a3936 (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)))))
% 16.70/16.90 (assume a3937 (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)))))
% 16.70/16.90 (assume a3938 (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)))))
% 16.70/16.90 (assume a3939 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (exists ((K3 tptp.code_integer)) (= A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) K3))))))
% 16.70/16.90 (assume a3940 (forall ((B tptp.complex) (A tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex B) A)) (exists ((K3 tptp.complex)) (= A (tptp.aa_complex_complex (tptp.times_times_complex B) K3))))))
% 16.70/16.90 (assume a3941 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B) A)) (exists ((K3 tptp.real)) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B) K3))))))
% 16.70/16.90 (assume a3942 (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 ((K3 tptp.nat)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) K3))))))
% 16.70/16.90 (assume a3943 (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 ((K3 tptp.int)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) K3))))))
% 16.70/16.90 (assume a3944 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C))))))
% 16.70/16.90 (assume a3945 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) C)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C))))))
% 16.70/16.90 (assume a3946 (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))))))
% 16.70/16.90 (assume a3947 (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))))))
% 16.70/16.90 (assume a3948 (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))))))
% 16.70/16.90 (assume a3949 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C))))))
% 16.70/16.90 (assume a3950 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) C))))))
% 16.70/16.90 (assume a3951 (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))))))
% 16.70/16.90 (assume a3952 (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))))))
% 16.70/16.90 (assume a3953 (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))))))
% 16.70/16.90 (assume a3954 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C)))))
% 16.70/16.90 (assume a3955 (forall ((A tptp.complex) (B tptp.complex) (C 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) B)) C)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) C)))))
% 16.70/16.90 (assume a3956 (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)))))
% 16.70/16.90 (assume a3957 (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)))))
% 16.70/16.90 (assume a3958 (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)))))
% 16.70/16.90 (assume a3959 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)))))
% 16.70/16.90 (assume a3960 (forall ((A tptp.complex) (B tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.times_times_complex A) B)))))
% 16.70/16.90 (assume a3961 (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)))))
% 16.70/16.90 (assume a3962 (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)))))
% 16.70/16.90 (assume a3963 (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)))))
% 16.70/16.90 (assume a3964 (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.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) D)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) D)))))))
% 16.70/16.90 (assume a3965 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex C) D)) (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) D)))))))
% 16.70/16.90 (assume a3966 (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)))))))
% 16.70/16.90 (assume a3967 (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)))))))
% 16.70/16.90 (assume a3968 (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)))))))
% 16.70/16.90 (assume a3969 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) C)))))
% 16.70/16.90 (assume a3970 (forall ((A tptp.complex) (B tptp.complex) (C 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) B)) C)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex B) C)))))
% 16.70/16.90 (assume a3971 (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)))))
% 16.70/16.90 (assume a3972 (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)))))
% 16.70/16.90 (assume a3973 (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)))))
% 16.70/16.90 (assume a3974 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) A)))))
% 16.70/16.90 (assume a3975 (forall ((A tptp.complex) (B tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) A)))))
% 16.70/16.90 (assume a3976 (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)))))
% 16.70/16.90 (assume a3977 (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)))))
% 16.70/16.90 (assume a3978 (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)))))
% 16.70/16.90 (assume a3979 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C)))))))
% 16.70/16.90 (assume a3980 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) C)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)))))))
% 16.70/16.90 (assume a3981 (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)))))))
% 16.70/16.90 (assume a3982 (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)))))))
% 16.70/16.90 (assume a3983 (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)))))))
% 16.70/16.90 (assume a3984 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B))))))
% 16.70/16.90 (assume a3985 (forall ((A tptp.complex) (C tptp.complex) (B tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) C)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B))))))
% 16.70/16.90 (assume a3986 (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))))))
% 16.70/16.90 (assume a3987 (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))))))
% 16.70/16.90 (assume a3988 (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))))))
% 16.70/16.90 (assume a3989 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a3990 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) C))))))
% 16.70/16.90 (assume a3991 (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))))))
% 16.70/16.90 (assume a3992 (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))))))
% 16.70/16.90 (assume a3993 (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))))))
% 16.70/16.90 (assume a3994 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer))))))
% 16.70/16.90 (assume a3995 (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))))))
% 16.70/16.90 (assume a3996 (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))))))
% 16.70/16.90 (assume a3997 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)))))
% 16.70/16.90 (assume a3998 (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)))))
% 16.70/16.90 (assume a3999 (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)))))
% 16.70/16.90 (assume a4000 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer tptp.one_one_Code_integer) A))))
% 16.70/16.90 (assume a4001 (forall ((A tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat tptp.one_on7984719198319812577d_enat) A))))
% 16.70/16.90 (assume a4002 (forall ((A tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex tptp.one_one_complex) A))))
% 16.70/16.90 (assume a4003 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real tptp.one_one_real) A))))
% 16.70/16.90 (assume a4004 (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))))
% 16.70/16.90 (assume a4005 (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))))
% 16.70/16.90 (assume a4006 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.minus_8373710615458151222nteger C B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.minus_8373710615458151222nteger B C))))))
% 16.70/16.90 (assume a4007 (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.minus_minus_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.aa_int_fun_int_int tptp.minus_minus_int B) C))))))
% 16.70/16.90 (assume a4008 (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))))))
% 16.70/16.90 (assume a4009 (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))))))
% 16.70/16.90 (assume a4010 (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))))))
% 16.70/16.90 (assume a4011 (forall ((C tptp.complex) (A tptp.complex) (B tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex C) A)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex C) B)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (= A B))))))
% 16.70/16.90 (assume a4012 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (= (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)) (= A B))))))
% 16.70/16.90 (assume a4013 (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))))))
% 16.70/16.90 (assume a4014 (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))))))
% 16.70/16.90 (assume a4015 (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))))))
% 16.70/16.90 (assume a4016 (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)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex C) A)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex C) B)) (= A B))))))
% 16.70/16.90 (assume a4017 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= A B))))))
% 16.70/16.90 (assume a4018 (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))))))
% 16.70/16.90 (assume a4019 (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))))))
% 16.70/16.90 (assume a4020 (forall ((D tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A D) (tptp.divide6298287555418463151nteger B D)) (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.90 (assume a4021 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer X) Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) N))))))
% 16.70/16.90 (assume a4022 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N))))))
% 16.70/16.90 (assume a4023 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N))))))
% 16.70/16.90 (assume a4024 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N))))))
% 16.70/16.90 (assume a4025 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X) Y)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N))))))
% 16.70/16.90 (assume a4026 (forall ((K tptp.code_integer) (M tptp.code_integer) (N tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer K) M)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer K) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer K) (tptp.modulo364778990260209775nteger M N)))))))
% 16.70/16.90 (assume a4027 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))))
% 16.70/16.90 (assume a4028 (forall ((K tptp.int) (M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) (tptp.aa_int_int (tptp.modulo_modulo_int M) N)))))))
% 16.70/16.90 (assume a4029 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.modulo364778990260209775nteger (tptp.modulo364778990260209775nteger A B) C) (tptp.modulo364778990260209775nteger A C)))))
% 16.70/16.90 (assume a4030 (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.modulo_modulo_nat (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.modulo_modulo_nat A) C)))))
% 16.70/16.90 (assume a4031 (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.modulo_modulo_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)) C) (tptp.aa_int_int (tptp.modulo_modulo_int A) C)))))
% 16.70/16.90 (assume a4032 (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)))))))
% 16.70/16.90 (assume a4033 (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))))))
% 16.70/16.90 (assume a4034 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D2 tptp.nat) (X4 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) 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) Y3)) D2)) (= (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) Y3)) D2)))))))
% 16.70/16.90 (assume a4035 (forall ((D tptp.nat) (A tptp.nat) (B tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) B)) (=> (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y)) D))) (exists ((X4 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) 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)) Y3)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) 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) Y3)) D))))))))))
% 16.70/16.90 (assume a4036 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D2 tptp.nat) (X4 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) 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) Y3)) D2) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D2))))))
% 16.70/16.90 (assume a4037 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_dl A))) (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_dl B)))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.70/16.90 (assume a4038 (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_dm A))) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_dm B)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.70/16.90 (assume a4039 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.ord_le7084787975880047091nteger (tptp.collect_Code_integer (tptp.aTP_Lamm_dn A)) (tptp.collect_Code_integer (tptp.aTP_Lamm_dn B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)))))
% 16.70/16.90 (assume a4040 (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_do A))) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_do B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 16.70/16.90 (assume a4041 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_dp A))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_dp B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.70/16.90 (assume a4042 (forall ((N tptp.nat) (K tptp.int) (M tptp.nat) (L tptp.int) (R tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) (tptp.aa_int_int (tptp.bit_concat_bit M L) R)) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) R))))
% 16.70/16.90 (assume a4043 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer))))
% 16.70/16.90 (assume a4044 (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))))
% 16.70/16.90 (assume a4045 (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))))
% 16.70/16.90 (assume a4046 (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)))))
% 16.70/16.90 (assume a4047 (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)))))
% 16.70/16.90 (assume a4048 (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)))))
% 16.70/16.90 (assume a4049 (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)))))
% 16.70/16.90 (assume a4050 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (= (tptp.divide6298287555418463151nteger A B) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4051 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) tptp.one_one_Code_integer)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer))))))
% 16.70/16.90 (assume a4052 (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))))))
% 16.70/16.90 (assume a4053 (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))))))
% 16.70/16.90 (assume a4054 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a4055 (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))))))
% 16.70/16.90 (assume a4056 (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))))))
% 16.70/16.90 (assume a4057 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a4058 (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))))))
% 16.70/16.90 (assume a4059 (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))))))
% 16.70/16.90 (assume a4060 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a4061 (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))))))
% 16.70/16.90 (assume a4062 (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))))))
% 16.70/16.90 (assume a4063 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) C))))))
% 16.70/16.90 (assume a4064 (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))))))
% 16.70/16.90 (assume a4065 (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))))))
% 16.70/16.90 (assume a4066 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C)) (= B C)))))
% 16.70/16.90 (assume a4067 (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)))))
% 16.70/16.90 (assume a4068 (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)))))
% 16.70/16.90 (assume a4069 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A)) (= B C)))))
% 16.70/16.90 (assume a4070 (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)))))
% 16.70/16.90 (assume a4071 (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)))))
% 16.70/16.90 (assume a4072 (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)))))
% 16.70/16.90 (assume a4073 (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)))))
% 16.70/16.90 (assume a4074 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B C)) A) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) A) C)))))
% 16.70/16.90 (assume a4075 (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)))))
% 16.70/16.90 (assume a4076 (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)))))
% 16.70/16.90 (assume a4077 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) C)))))
% 16.70/16.90 (assume a4078 (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))))))
% 16.70/16.90 (assume a4079 (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))))))
% 16.70/16.90 (assume a4080 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger A (tptp.divide6298287555418463151nteger B C)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) C))))))
% 16.70/16.90 (assume a4081 (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)))))
% 16.70/16.90 (assume a4082 (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)))))
% 16.70/16.90 (assume a4083 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B) C)))))
% 16.70/16.90 (assume a4084 (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))))))
% 16.70/16.90 (assume a4085 (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))))))
% 16.70/16.90 (assume a4086 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger B C))))))
% 16.70/16.90 (assume a4087 (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)))))))
% 16.70/16.90 (assume a4088 (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)))))))
% 16.70/16.90 (assume a4089 (forall ((B tptp.code_integer) (A tptp.code_integer) (D tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) C)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) (tptp.divide6298287555418463151nteger C D)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) D)))))))
% 16.70/16.90 (assume a4090 (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))))))
% 16.70/16.90 (assume a4091 (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))))))
% 16.70/16.90 (assume a4092 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C))))))
% 16.70/16.90 (assume a4093 (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))))))
% 16.70/16.90 (assume a4094 (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))))))
% 16.70/16.90 (assume a4095 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C))))))
% 16.70/16.90 (assume a4096 (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)))))
% 16.70/16.90 (assume a4097 (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)))))
% 16.70/16.90 (assume a4098 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger B A) (tptp.divide6298287555418463151nteger C A)) (= B C)))))
% 16.70/16.90 (assume a4099 (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))))))
% 16.70/16.90 (assume a4100 (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))))))
% 16.70/16.90 (assume a4101 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a4102 (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))))))
% 16.70/16.90 (assume a4103 (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))))))
% 16.70/16.90 (assume a4104 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger C B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) C))))))
% 16.70/16.90 (assume a4105 (forall ((B tptp.nat) (A tptp.nat) (N 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.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))))))
% 16.70/16.90 (assume a4106 (forall ((B tptp.int) (A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.divide_divide_int A) B)) N) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))))))
% 16.70/16.90 (assume a4107 (forall ((B tptp.code_integer) (A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.divide6298287555418463151nteger A B)) N) (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger B) N))))))
% 16.70/16.90 (assume a4108 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) M)))))))
% 16.70/16.90 (assume a4109 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) M)))))))
% 16.70/16.90 (assume a4110 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) M)))))))
% 16.70/16.90 (assume a4111 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) M)))))))
% 16.70/16.90 (assume a4112 (forall ((X 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 X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) M)))))))
% 16.70/16.90 (assume a4113 (forall ((A tptp.code_integer) (N tptp.nat) (B tptp.code_integer) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger 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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M)) B))))))
% 16.70/16.90 (assume a4114 (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))))))
% 16.70/16.90 (assume a4115 (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.aa_real_fun_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.aa_real_fun_nat_real tptp.power_power_real A) M)) B))))))
% 16.70/16.90 (assume a4116 (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))))))
% 16.70/16.90 (assume a4117 (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))))))
% 16.70/16.90 (assume a4118 (forall ((M tptp.nat) (N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))))))
% 16.70/16.90 (assume a4119 (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))))))
% 16.70/16.90 (assume a4120 (forall ((M tptp.nat) (N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.90 (assume a4121 (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))))))
% 16.70/16.90 (assume a4122 (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))))))
% 16.70/16.90 (assume a4123 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) (tptp.minus_8373710615458151222nteger A B))))))
% 16.70/16.90 (assume a4124 (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)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 16.70/16.90 (assume a4125 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((D2 tptp.nat) (X4 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) 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) Y3)) D2)))))))
% 16.70/16.90 (assume a4126 (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)))))))
% 16.70/16.90 (assume a4127 (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))))))
% 16.70/16.90 (assume a4128 (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)))))))
% 16.70/16.90 (assume a4129 (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)))))))
% 16.70/16.90 (assume a4130 (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)))))))
% 16.70/16.90 (assume a4131 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex X) (tptp.aa_complex_complex (tptp.plus_plus_complex X) X))))
% 16.70/16.90 (assume a4132 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X))))
% 16.70/16.90 (assume a4133 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X))))
% 16.70/16.90 (assume a4134 (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_dp M)))))))
% 16.70/16.90 (assume a4135 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Y))) (= X Y)))))
% 16.70/16.90 (assume a4136 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (not (=> (not (= A tptp.zero_z3403309356797280102nteger)) (forall ((C3 tptp.code_integer)) (not (= B (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C3)))))))))
% 16.70/16.90 (assume a4137 (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)))))))))
% 16.70/16.90 (assume a4138 (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)))))))))
% 16.70/16.90 (assume a4139 (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)))))))
% 16.70/16.90 (assume a4140 (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)))))))
% 16.70/16.90 (assume a4141 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (= (= (tptp.divide6298287555418463151nteger B A) C) (= B (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) A)))))))
% 16.70/16.90 (assume a4142 (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))))))))
% 16.70/16.90 (assume a4143 (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))))))))
% 16.70/16.90 (assume a4144 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (not (= B tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B))))))))
% 16.70/16.90 (assume a4145 (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)))))))
% 16.70/16.90 (assume a4146 (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)))))))
% 16.70/16.90 (assume a4147 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) B)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger B C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C)) B)))))))
% 16.70/16.90 (assume a4148 (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)))))))))
% 16.70/16.90 (assume a4149 (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)))))))))
% 16.70/16.90 (assume a4150 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer) (D tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) D)) (= (= (tptp.divide6298287555418463151nteger B A) (tptp.divide6298287555418463151nteger D C)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) D)))))))))
% 16.70/16.90 (assume a4151 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.90 (assume a4152 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.90 (assume a4153 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.90 (assume a4154 (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)))))
% 16.70/16.90 (assume a4155 (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)))))
% 16.70/16.90 (assume a4156 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger A B) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4157 (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))))))
% 16.70/16.90 (assume a4158 (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))))))
% 16.70/16.90 (assume a4159 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger A B) C) (= A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B))))))
% 16.70/16.90 (assume a4160 (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)))))
% 16.70/16.90 (assume a4161 (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)))))
% 16.70/16.90 (assume a4162 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (= A (tptp.divide6298287555418463151nteger C B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) C)))))
% 16.70/16.90 (assume a4163 (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))))))
% 16.70/16.90 (assume a4164 (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))))))
% 16.70/16.90 (assume a4165 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B) C))))))
% 16.70/16.90 (assume a4166 (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)))))
% 16.70/16.90 (assume a4167 (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)))))
% 16.70/16.90 (assume a4168 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) C) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) C) B)))))
% 16.70/16.90 (assume a4169 (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)))))
% 16.70/16.90 (assume a4170 (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)))))
% 16.70/16.90 (assume a4171 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B) C)))))
% 16.70/16.90 (assume a4172 (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))))))
% 16.70/16.90 (assume a4173 (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))))))
% 16.70/16.90 (assume a4174 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B) C))))))
% 16.70/16.90 (assume a4175 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) tptp.one_one_Code_integer)) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= N tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4176 (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)))))
% 16.70/16.90 (assume a4177 (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)))))
% 16.70/16.90 (assume a4178 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.modulo364778990260209775nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.90 (assume a4179 (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))))
% 16.70/16.90 (assume a4180 (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))))
% 16.70/16.90 (assume a4181 (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))))))
% 16.70/16.90 (assume a4182 (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))))))
% 16.70/16.90 (assume a4183 (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))))))
% 16.70/16.90 (assume a4184 (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))))))
% 16.70/16.90 (assume a4185 (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)))))))
% 16.70/16.90 (assume a4186 (forall ((X tptp.product_prod_nat_nat)) (not (forall ((K2 tptp.nat) (M5 tptp.nat)) (not (= X (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat K2) M5)))))))
% 16.70/16.90 (assume a4187 (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a4188 (tptp.pp (tptp.aa_nat_bool (tptp.aa_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)))
% 16.70/16.90 (assume a4189 (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)))
% 16.70/16.90 (assume a4190 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.70/16.90 (assume a4191 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.70/16.90 (assume a4192 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.70/16.90 (assume a4193 (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))))))))))))))
% 16.70/16.90 (assume a4194 (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))))))))))))))
% 16.70/16.90 (assume a4195 (forall ((A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (not (=> (not (= A tptp.zero_z3403309356797280102nteger)) (forall ((B3 tptp.code_integer)) (=> (not (= B3 tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B3) tptp.one_one_Code_integer)) (=> (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A) B3) (=> (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B3) A) (=> (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B3) tptp.one_one_Code_integer) (not (= (tptp.divide6298287555418463151nteger C A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger C) B3))))))))))))))
% 16.70/16.90 (assume a4196 (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))))))
% 16.70/16.90 (assume a4197 (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))))))
% 16.70/16.90 (assume a4198 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B))))))
% 16.70/16.90 (assume a4199 (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))))))
% 16.70/16.90 (assume a4200 (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))))))
% 16.70/16.90 (assume a4201 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) A)) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B))))))
% 16.70/16.90 (assume a4202 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B)))))))
% 16.70/16.90 (assume a4203 (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)))))))
% 16.70/16.90 (assume a4204 (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)))))))
% 16.70/16.90 (assume a4205 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 16.70/16.90 (assume a4206 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.70/16.90 (assume a4207 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 16.70/16.90 (assume a4208 (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 (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))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.90 (assume a4209 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (= (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_int_int (tptp.divide_divide_int B) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.90 (assume a4210 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A B) (and (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger B (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.90 (assume a4211 (forall ((X tptp.code_integer) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) M)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) N))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer X) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 16.70/16.90 (assume a4212 (forall ((X tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 16.70/16.90 (assume a4213 (forall ((X tptp.int) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) M)) (tptp.aa_nat_int (tptp.power_power_int X) N))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) tptp.one_one_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 16.70/16.90 (assume a4214 (forall ((N tptp.nat) (X tptp.code_integer)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer X) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) N))))))
% 16.70/16.90 (assume a4215 (forall ((N tptp.nat) (X tptp.extended_enat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_on7984719198319812577d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat X) (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat X) N))))))
% 16.70/16.90 (assume a4216 (forall ((N tptp.nat) (X tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))))))
% 16.70/16.90 (assume a4217 (forall ((N tptp.nat) (X tptp.real)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))
% 16.70/16.90 (assume a4218 (forall ((N tptp.nat) (X tptp.int)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) (tptp.aa_nat_int (tptp.power_power_int X) N))))))
% 16.70/16.90 (assume a4219 (forall ((N tptp.nat) (X tptp.complex)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X) (tptp.aa_nat_complex (tptp.power_power_complex X) N))))))
% 16.70/16.90 (assume a4220 (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)))))
% 16.70/16.90 (assume a4221 (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)))))
% 16.70/16.90 (assume a4222 (forall ((Q2 tptp.nat) (N tptp.nat) (R 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 R) 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 R) M)) Q2)))))))))
% 16.70/16.90 (assume a4223 (forall ((I2 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 I2) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 16.70/16.90 (assume a4224 (forall ((R tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat R) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R) 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) R))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) R))))))
% 16.70/16.90 (assume a4225 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.70/16.90 (assume a4226 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.70/16.90 (assume a4227 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.70/16.90 (assume a4228 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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))))
% 16.70/16.90 (assume a4229 (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))))
% 16.70/16.90 (assume a4230 (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))))
% 16.70/16.90 (assume a4231 (forall ((A tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_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))))
% 16.70/16.90 (assume a4232 (forall ((A tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.70/16.90 (assume a4233 (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.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 16.70/16.90 (assume a4234 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)))))))
% 16.70/16.90 (assume a4235 (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)))))))
% 16.70/16.90 (assume a4236 (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)))))
% 16.70/16.90 (assume a4237 (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))))))
% 16.70/16.90 (assume a4238 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4239 (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)))))
% 16.70/16.90 (assume a4240 (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)))))
% 16.70/16.90 (assume a4241 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4242 (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))))))
% 16.70/16.90 (assume a4243 (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))))))
% 16.70/16.90 (assume a4244 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4245 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A))) (not (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4246 (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))))))
% 16.70/16.90 (assume a4247 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 16.70/16.90 (assume a4248 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B3) tptp.one_one_Code_integer))))))))
% 16.70/16.90 (assume a4249 (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))))))))
% 16.70/16.90 (assume a4250 (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))))))))
% 16.70/16.90 (assume a4251 (forall ((A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_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.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)))))
% 16.70/16.90 (assume a4252 (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)))))
% 16.70/16.90 (assume a4253 (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)))))
% 16.70/16.90 (assume a4254 (forall ((A tptp.code_integer)) (=> (=> (tptp.pp (tptp.aa_Code_integer_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.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)))))))
% 16.70/16.90 (assume a4255 (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)))))))
% 16.70/16.90 (assume a4256 (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)))))))
% 16.70/16.90 (assume a4257 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 16.70/16.90 (assume a4258 (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)))))))
% 16.70/16.90 (assume a4259 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A))))))
% 16.70/16.90 (assume a4260 (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))))))
% 16.70/16.90 (assume a4261 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.90 (assume a4262 (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))))))
% 16.70/16.90 (assume a4263 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (not (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat tptp.suc N3))))))))
% 16.70/16.90 (assume a4264 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 16.70/16.90 (assume a4265 (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)))))))
% 16.70/16.90 (assume a4266 (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)))))))
% 16.70/16.90 (assume a4267 (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)))))
% 16.70/16.90 (assume a4268 (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)))))
% 16.70/16.90 (assume a4269 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_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)))))
% 16.70/16.90 (assume a4270 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_real)))))))
% 16.70/16.90 (assume a4271 (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)))))))
% 16.70/16.90 (assume a4272 (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))))))
% 16.70/16.90 (assume a4273 (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))))))
% 16.70/16.90 (assume a4274 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_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))))))
% 16.70/16.90 (assume a4275 (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))))))))))
% 16.70/16.90 (assume a4276 (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))))))))))
% 16.70/16.90 (assume a4277 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (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.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))))))))))
% 16.70/16.90 (assume a4278 (forall ((X6 tptp.set_Extended_enat)) (=> (not (= X6 tptp.bot_bo7653980558646680370d_enat)) (=> (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat X4) X6)) (exists ((Xa tptp.extended_enat)) (and (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat Xa) X6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Xa)))))) (not (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat X6)))))))
% 16.70/16.90 (assume a4279 (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)))))))
% 16.70/16.90 (assume a4280 (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)))))))
% 16.70/16.90 (assume a4281 (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)))))))
% 16.70/16.90 (assume a4282 (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)))))))
% 16.70/16.90 (assume a4283 (forall ((S tptp.set_Extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat S)) (=> (not (= S tptp.bot_bo7653980558646680370d_enat)) (exists ((X4 tptp.extended_enat)) (and (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat X4) S)) (not (exists ((Xa tptp.extended_enat)) (and (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat Xa) S)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Xa) X4)))))))))))
% 16.70/16.90 (assume a4284 (forall ((S tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (not (= S tptp.bot_bot_set_real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (not (exists ((Xa tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Xa) X4)))))))))))
% 16.70/16.90 (assume a4285 (forall ((S tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num S)) (=> (not (= S tptp.bot_bot_set_num)) (exists ((X4 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X4) S)) (not (exists ((Xa tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) S)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Xa) X4)))))))))))
% 16.70/16.90 (assume a4286 (forall ((S tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (not (= S tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (not (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) X4)))))))))))
% 16.70/16.90 (assume a4287 (forall ((S tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (not (= S tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (not (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) S)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Xa) X4)))))))))))
% 16.70/16.90 (assume a4288 (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))))))))
% 16.70/16.90 (assume a4289 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.90 (assume a4290 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) D4)) (forall ((X2 tptp.code_integer) (K4 tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 T)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X2 (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger K4) D4)) T)))))))))
% 16.70/16.90 (assume a4291 (forall ((D tptp.complex) (D4 tptp.complex) (T tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) D4)) (forall ((X2 tptp.complex) (K4 tptp.complex)) (= (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) (tptp.aa_complex_complex (tptp.plus_plus_complex X2) T)))) (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4))) T)))))))))
% 16.70/16.90 (assume a4292 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D4)) (forall ((X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4))) T)))))))))
% 16.70/16.90 (assume a4293 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X2 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 X2) 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 X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4))) T)))))))))
% 16.70/16.90 (assume a4294 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) D4)) (forall ((X2 tptp.code_integer) (K4 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 T))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X2 (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger K4) D4)) T))))))))
% 16.70/16.90 (assume a4295 (forall ((D tptp.complex) (D4 tptp.complex) (T tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) D4)) (forall ((X2 tptp.complex) (K4 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) (tptp.aa_complex_complex (tptp.plus_plus_complex X2) T))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex D) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4))) T))))))))
% 16.70/16.90 (assume a4296 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D4)) (forall ((X2 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 X2) 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 X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4))) T))))))))
% 16.70/16.90 (assume a4297 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X2 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 X2) 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 X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4))) T))))))))
% 16.70/16.90 (assume a4298 (forall ((P tptp.fun_Co8822979462182099027r_bool) (L tptp.code_integer)) (= (exists ((X3 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger L) X3)))) (exists ((X3 tptp.code_integer)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer L) (tptp.plus_p5714425477246183910nteger X3 tptp.zero_z3403309356797280102nteger))) (tptp.pp (tptp.aa_Code_integer_bool P X3)))))))
% 16.70/16.90 (assume a4299 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (L tptp.extended_enat)) (= (exists ((X3 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat L) X3)))) (exists ((X3 tptp.extended_enat)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat L) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X3) tptp.zero_z5237406670263579293d_enat))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X3)))))))
% 16.70/16.90 (assume a4300 (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)))))))
% 16.70/16.90 (assume a4301 (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)))))))
% 16.70/16.90 (assume a4302 (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)))))))
% 16.70/16.90 (assume a4303 (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)))))))
% 16.70/16.90 (assume a4304 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.nat_triangle N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a4305 (forall ((X tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X) Y) (=> (=> (= X tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (=> (=> (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (not (forall ((Va2 tptp.nat)) (=> (= X (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.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.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))))))))))))))))))
% 16.70/16.90 (assume a4306 (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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_Cod1783974652533396728nteger (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))))))))
% 16.70/16.90 (assume a4307 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.90 (assume a4308 (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))))))))
% 16.70/16.90 (assume a4309 (forall ((I2 tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (=> (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat (tptp.replicate_nat N X)) I2)))))))
% 16.70/16.90 (assume a4310 (forall ((I2 tptp.nat) (N tptp.nat) (P tptp.fun_int_bool) (X tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (=> (tptp.pp (tptp.aa_int_bool P X)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int (tptp.replicate_int N X)) I2)))))))
% 16.70/16.90 (assume a4311 (forall ((I2 tptp.nat) (N tptp.nat) (P tptp.fun_VEBT_VEBT_bool) (X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool P X)) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT (tptp.replicate_VEBT_VEBT N X) I2)))))))
% 16.70/16.90 (assume a4312 (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)))))
% 16.70/16.90 (assume a4313 (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)))))
% 16.70/16.90 (assume a4314 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 16.70/16.90 (assume a4315 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.zero_n1046097342994218471d_enat P)) (tptp.zero_n1046097342994218471d_enat Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 16.70/16.90 (assume a4316 (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)))))
% 16.70/16.90 (assume a4317 (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)))))
% 16.70/16.90 (assume a4318 (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)))))
% 16.70/16.90 (assume a4319 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 16.70/16.90 (assume a4320 (= (tptp.zero_n1046097342994218471d_enat tptp.fTrue) tptp.one_on7984719198319812577d_enat))
% 16.70/16.90 (assume a4321 (= (tptp.zero_n1201886186963655149omplex tptp.fTrue) tptp.one_one_complex))
% 16.70/16.90 (assume a4322 (= (tptp.zero_n3304061248610475627l_real tptp.fTrue) tptp.one_one_real))
% 16.70/16.90 (assume a4323 (= (tptp.zero_n2687167440665602831ol_nat tptp.fTrue) tptp.one_one_nat))
% 16.70/16.90 (assume a4324 (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int tptp.fTrue) tptp.one_one_int))
% 16.70/16.90 (assume a4325 (= (tptp.zero_n356916108424825756nteger tptp.fTrue) tptp.one_one_Code_integer))
% 16.70/16.90 (assume a4326 (forall ((P tptp.bool)) (= (= (tptp.zero_n1046097342994218471d_enat P) tptp.one_on7984719198319812577d_enat) (tptp.pp P))))
% 16.70/16.90 (assume a4327 (forall ((P tptp.bool)) (= (= (tptp.zero_n1201886186963655149omplex P) tptp.one_one_complex) (tptp.pp P))))
% 16.70/16.90 (assume a4328 (forall ((P tptp.bool)) (= (= (tptp.zero_n3304061248610475627l_real P) tptp.one_one_real) (tptp.pp P))))
% 16.70/16.90 (assume a4329 (forall ((P tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P) tptp.one_one_nat) (tptp.pp P))))
% 16.70/16.90 (assume a4330 (forall ((P tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P) tptp.one_one_int) (tptp.pp P))))
% 16.70/16.90 (assume a4331 (forall ((P tptp.bool)) (= (= (tptp.zero_n356916108424825756nteger P) tptp.one_one_Code_integer) (tptp.pp P))))
% 16.70/16.90 (assume a4332 (forall ((M tptp.nat) (X tptp.vEBT_VEBT) (N tptp.nat) (Y tptp.vEBT_VEBT)) (= (= (tptp.replicate_VEBT_VEBT M X) (tptp.replicate_VEBT_VEBT N Y)) (and (= M N) (=> (not (= M tptp.zero_zero_nat)) (= X Y))))))
% 16.70/16.90 (assume a4333 (forall ((N tptp.nat) (X tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.replicate_VEBT_VEBT N X)) N)))
% 16.70/16.90 (assume a4334 (forall ((N tptp.nat) (X tptp.bool)) (= (tptp.size_size_list_bool (tptp.replicate_bool N X)) N)))
% 16.70/16.90 (assume a4335 (forall ((N tptp.nat) (X tptp.nat)) (= (tptp.size_size_list_nat (tptp.replicate_nat N X)) N)))
% 16.70/16.90 (assume a4336 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.size_size_list_int (tptp.replicate_int N X)) N)))
% 16.70/16.90 (assume a4337 (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)))))
% 16.70/16.90 (assume a4338 (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)))))
% 16.70/16.90 (assume a4339 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.fdisj P) Q)) (tptp.ord_max_Code_integer (tptp.zero_n356916108424825756nteger P) (tptp.zero_n356916108424825756nteger Q)))))
% 16.70/16.90 (assume a4340 (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))))
% 16.70/16.90 (assume a4341 (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))))
% 16.70/16.90 (assume a4342 (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))))
% 16.70/16.90 (assume a4343 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.zero_n356916108424825756nteger P))) (tptp.pp P))))
% 16.70/16.90 (assume a4344 (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)))))
% 16.70/16.90 (assume a4345 (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)))))
% 16.70/16.90 (assume a4346 (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)))))
% 16.70/16.90 (assume a4347 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer)) (not (tptp.pp P)))))
% 16.70/16.90 (assume a4348 (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)))))
% 16.70/16.90 (assume a4349 (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)))))
% 16.70/16.90 (assume a4350 (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)))))
% 16.70/16.90 (assume a4351 (forall ((P tptp.bool)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot P)) (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.zero_n356916108424825756nteger P)))))
% 16.70/16.90 (assume a4352 (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)))))))
% 16.70/16.90 (assume a4353 (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)))))
% 16.70/16.90 (assume a4354 (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)))))
% 16.70/16.90 (assume a4355 (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)))))
% 16.70/16.90 (assume a4356 (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))))))
% 16.70/16.90 (assume a4357 (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))))))
% 16.70/16.90 (assume a4358 (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))))))
% 16.70/16.90 (assume a4359 (forall ((X tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.set_real2 (tptp.replicate_real N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4360 (forall ((X tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.set_complex2 (tptp.replicate_complex N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4361 (forall ((X tptp.product_prod_nat_nat) (N tptp.nat) (Y tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.set_Pr5648618587558075414at_nat (tptp.replic4235873036481779905at_nat N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4362 (forall ((X tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.set_int2 (tptp.replicate_int N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4363 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.set_nat2 (tptp.replicate_nat N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4364 (forall ((X tptp.vEBT_VEBT) (N tptp.nat) (Y tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N Y)))) (and (= X Y) (not (= N tptp.zero_zero_nat))))))
% 16.70/16.90 (assume a4365 (forall ((I2 tptp.nat) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.replicate_nat N X)) I2) X))))
% 16.70/16.90 (assume a4366 (forall ((I2 tptp.nat) (N tptp.nat) (X tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.replicate_int N X)) I2) X))))
% 16.70/16.90 (assume a4367 (forall ((I2 tptp.nat) (N tptp.nat) (X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (= (tptp.nth_VEBT_VEBT (tptp.replicate_VEBT_VEBT N X) I2) X))))
% 16.70/16.90 (assume a4368 (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)))))
% 16.70/16.90 (assume a4369 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n2687167440665602831ol_nat P2)))) (tptp.pp P2))))
% 16.70/16.90 (assume a4370 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2)))) (tptp.pp P2))))
% 16.70/16.90 (assume a4371 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger P2)))) (tptp.pp P2))))
% 16.70/16.90 (assume a4372 (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)))
% 16.70/16.90 (assume a4373 (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)))
% 16.70/16.90 (assume a4374 (forall ((B tptp.bool)) (= (tptp.divide6298287555418463151nteger (tptp.zero_n356916108424825756nteger B) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a4375 (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)))))
% 16.70/16.90 (assume a4376 (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)))))
% 16.70/16.90 (assume a4377 (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)))))
% 16.70/16.90 (assume a4378 (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)))))
% 16.70/16.90 (assume a4379 (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)))))
% 16.70/16.90 (assume a4380 (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)))))
% 16.70/16.90 (assume a4381 (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)))))
% 16.70/16.90 (assume a4382 (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)))))
% 16.70/16.90 (assume a4383 (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)))))
% 16.70/16.90 (assume a4384 (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)))))
% 16.70/16.90 (assume a4385 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n1201886186963655149omplex (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.zero_n1201886186963655149omplex P)) (tptp.zero_n1201886186963655149omplex Q)))))
% 16.70/16.90 (assume a4386 (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)))))
% 16.70/16.90 (assume a4387 (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)))))
% 16.70/16.90 (assume a4388 (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)))))
% 16.70/16.90 (assume a4389 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q)))))
% 16.70/16.90 (assume a4390 (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)))))
% 16.70/16.90 (assume a4391 (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)))))
% 16.70/16.90 (assume a4392 (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)))))
% 16.70/16.90 (assume a4393 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.zero_n356916108424825756nteger P)))))
% 16.70/16.90 (assume a4394 (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))))
% 16.70/16.90 (assume a4395 (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))))
% 16.70/16.90 (assume a4396 (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))))
% 16.70/16.90 (assume a4397 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer))))
% 16.70/16.90 (assume a4398 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n1046097342994218471d_enat P2) tptp.one_on7984719198319812577d_enat)) (=> (not (tptp.pp P2)) (= (tptp.zero_n1046097342994218471d_enat P2) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.90 (assume a4399 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n1201886186963655149omplex P2) tptp.one_one_complex)) (=> (not (tptp.pp P2)) (= (tptp.zero_n1201886186963655149omplex P2) tptp.zero_zero_complex)))))
% 16.70/16.90 (assume a4400 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n3304061248610475627l_real P2) tptp.one_one_real)) (=> (not (tptp.pp P2)) (= (tptp.zero_n3304061248610475627l_real P2) tptp.zero_zero_real)))))
% 16.70/16.90 (assume a4401 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n2687167440665602831ol_nat P2) tptp.one_one_nat)) (=> (not (tptp.pp P2)) (= (tptp.zero_n2687167440665602831ol_nat P2) tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4402 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2) tptp.one_one_int)) (=> (not (tptp.pp P2)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2) tptp.zero_zero_int)))))
% 16.70/16.90 (assume a4403 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n356916108424825756nteger P2) tptp.one_one_Code_integer)) (=> (not (tptp.pp P2)) (= (tptp.zero_n356916108424825756nteger P2) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4404 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.zero_n1046097342994218471d_enat P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P tptp.one_on7984719198319812577d_enat))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.90 (assume a4405 (forall ((P tptp.fun_complex_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))
% 16.70/16.90 (assume a4406 (forall ((P tptp.fun_real_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_real_bool P tptp.one_one_real))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))
% 16.70/16.90 (assume a4407 (forall ((P tptp.fun_nat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))
% 16.70/16.90 (assume a4408 (forall ((P tptp.fun_int_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_int_bool P tptp.one_one_int))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 16.70/16.90 (assume a4409 (forall ((P tptp.fun_Co8822979462182099027r_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool P (tptp.zero_n356916108424825756nteger P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_Code_integer_bool P tptp.one_one_Code_integer))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_Code_integer_bool P tptp.zero_z3403309356797280102nteger)))))))
% 16.70/16.90 (assume a4410 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.zero_n1046097342994218471d_enat P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P tptp.one_on7984719198319812577d_enat)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P tptp.zero_z5237406670263579293d_enat)))))))))
% 16.70/16.90 (assume a4411 (forall ((P tptp.fun_complex_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))))
% 16.70/16.90 (assume a4412 (forall ((P tptp.fun_real_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_real_bool P tptp.one_one_real)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))))
% 16.70/16.90 (assume a4413 (forall ((P tptp.fun_nat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))))
% 16.70/16.90 (assume a4414 (forall ((P tptp.fun_int_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_int_bool P tptp.one_one_int)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))))
% 16.70/16.90 (assume a4415 (forall ((P tptp.fun_Co8822979462182099027r_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool P (tptp.zero_n356916108424825756nteger P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_Code_integer_bool P tptp.one_one_Code_integer)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_Code_integer_bool P tptp.zero_z3403309356797280102nteger)))))))))
% 16.70/16.90 (assume a4416 (forall ((Xs tptp.list_real) (N tptp.nat) (X tptp.real)) (=> (= (tptp.size_size_list_real Xs) N) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) (tptp.set_real2 Xs))) (= Y3 X))) (= Xs (tptp.replicate_real N X))))))
% 16.70/16.90 (assume a4417 (forall ((Xs tptp.list_complex) (N tptp.nat) (X tptp.complex)) (=> (= (tptp.size_s3451745648224563538omplex Xs) N) (=> (forall ((Y3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) (tptp.set_complex2 Xs))) (= Y3 X))) (= Xs (tptp.replicate_complex N X))))))
% 16.70/16.90 (assume a4418 (forall ((Xs tptp.list_P6011104703257516679at_nat) (N tptp.nat) (X tptp.product_prod_nat_nat)) (=> (= (tptp.size_s5460976970255530739at_nat Xs) N) (=> (forall ((Y3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y3) (tptp.set_Pr5648618587558075414at_nat Xs))) (= Y3 X))) (= Xs (tptp.replic4235873036481779905at_nat N X))))))
% 16.70/16.90 (assume a4419 (forall ((Xs tptp.list_VEBT_VEBT) (N tptp.nat) (X tptp.vEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) N) (=> (forall ((Y3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y3) (tptp.set_VEBT_VEBT2 Xs))) (= Y3 X))) (= Xs (tptp.replicate_VEBT_VEBT N X))))))
% 16.70/16.90 (assume a4420 (forall ((Xs tptp.list_bool) (N tptp.nat) (X tptp.bool)) (=> (= (tptp.size_size_list_bool Xs) N) (=> (forall ((Y3 tptp.bool)) (=> (tptp.member_bool Y3 (tptp.set_bool2 Xs)) (= (tptp.pp Y3) (tptp.pp X)))) (= Xs (tptp.replicate_bool N X))))))
% 16.70/16.90 (assume a4421 (forall ((Xs tptp.list_nat) (N tptp.nat) (X tptp.nat)) (=> (= (tptp.size_size_list_nat Xs) N) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) (tptp.set_nat2 Xs))) (= Y3 X))) (= Xs (tptp.replicate_nat N X))))))
% 16.70/16.90 (assume a4422 (forall ((Xs tptp.list_int) (N tptp.nat) (X tptp.int)) (=> (= (tptp.size_size_list_int Xs) N) (=> (forall ((Y3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) (tptp.set_int2 Xs))) (= Y3 X))) (= Xs (tptp.replicate_int N X))))))
% 16.70/16.90 (assume a4423 (forall ((Xs tptp.list_VEBT_VEBT) (X 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 X))) (= (tptp.replicate_VEBT_VEBT (tptp.size_s6755466524823107622T_VEBT Xs) X) Xs))))
% 16.70/16.90 (assume a4424 (forall ((Xs tptp.list_bool) (X tptp.bool)) (=> (forall ((X4 tptp.bool)) (=> (tptp.member_bool X4 (tptp.set_bool2 Xs)) (= (tptp.pp X4) (tptp.pp X)))) (= (tptp.replicate_bool (tptp.size_size_list_bool Xs) X) Xs))))
% 16.70/16.90 (assume a4425 (forall ((Xs tptp.list_nat) (X tptp.nat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (= X4 X))) (= (tptp.replicate_nat (tptp.size_size_list_nat Xs) X) Xs))))
% 16.70/16.90 (assume a4426 (forall ((Xs tptp.list_int) (X tptp.int)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (= X4 X))) (= (tptp.replicate_int (tptp.size_size_list_int Xs) X) Xs))))
% 16.70/16.90 (assume a4427 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P3 tptp.fun_Ex8563670519792538868t_bool) (Q tptp.fun_Ex8563670519792538868t_bool) (Q5 tptp.fun_Ex8563670519792538868t_bool)) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z2) X4)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X4)))))) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z2) X4)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X4)))))) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (= (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X2))) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4428 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q5 tptp.fun_real_bool)) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P3 X4)))))) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q5 X4)))))) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (= (and (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (and (tptp.pp (tptp.aa_real_bool P3 X2)) (tptp.pp (tptp.aa_real_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4429 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q5 tptp.fun_num_bool)) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P3 X4)))))) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q5 X4)))))) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (= (and (tptp.pp (tptp.aa_num_bool P X2)) (tptp.pp (tptp.aa_num_bool Q X2))) (and (tptp.pp (tptp.aa_num_bool P3 X2)) (tptp.pp (tptp.aa_num_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4430 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q5 tptp.fun_nat_bool)) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P3 X4)))))) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q5 X4)))))) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (= (and (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool Q X2))) (and (tptp.pp (tptp.aa_nat_bool P3 X2)) (tptp.pp (tptp.aa_nat_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4431 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q5 tptp.fun_int_bool)) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P3 X4)))))) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q5 X4)))))) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (= (and (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (and (tptp.pp (tptp.aa_int_bool P3 X2)) (tptp.pp (tptp.aa_int_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4432 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P3 tptp.fun_Ex8563670519792538868t_bool) (Q tptp.fun_Ex8563670519792538868t_bool) (Q5 tptp.fun_Ex8563670519792538868t_bool)) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z2) X4)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X4)))))) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z2) X4)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X4)))))) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (= (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X2))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4433 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q5 tptp.fun_real_bool)) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P3 X4)))))) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q5 X4)))))) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (= (or (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (or (tptp.pp (tptp.aa_real_bool P3 X2)) (tptp.pp (tptp.aa_real_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4434 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q5 tptp.fun_num_bool)) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P3 X4)))))) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q5 X4)))))) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (= (or (tptp.pp (tptp.aa_num_bool P X2)) (tptp.pp (tptp.aa_num_bool Q X2))) (or (tptp.pp (tptp.aa_num_bool P3 X2)) (tptp.pp (tptp.aa_num_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4435 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q5 tptp.fun_nat_bool)) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P3 X4)))))) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q5 X4)))))) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (= (or (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool Q X2))) (or (tptp.pp (tptp.aa_nat_bool P3 X2)) (tptp.pp (tptp.aa_nat_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4436 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q5 tptp.fun_int_bool)) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P3 X4)))))) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q5 X4)))))) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (= (or (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (or (tptp.pp (tptp.aa_int_bool P3 X2)) (tptp.pp (tptp.aa_int_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4437 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4438 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4439 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4440 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4441 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4442 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4443 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4444 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4445 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4446 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4447 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) T))))))))
% 16.70/16.90 (assume a4448 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) T))))))))
% 16.70/16.90 (assume a4449 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) T))))))))
% 16.70/16.90 (assume a4450 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) T))))))))
% 16.70/16.90 (assume a4451 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) T))))))))
% 16.70/16.90 (assume a4452 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat T) X2)))))))
% 16.70/16.90 (assume a4453 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X2)))))))
% 16.70/16.90 (assume a4454 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X2)))))))
% 16.70/16.90 (assume a4455 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X2)))))))
% 16.70/16.90 (assume a4456 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X2)))))))
% 16.70/16.90 (assume a4457 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P3 tptp.fun_Ex8563670519792538868t_bool) (Q tptp.fun_Ex8563670519792538868t_bool) (Q5 tptp.fun_Ex8563670519792538868t_bool)) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Z2)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X4)))))) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Z2)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X4)))))) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (= (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X2))) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4458 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q5 tptp.fun_real_bool)) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P3 X4)))))) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q5 X4)))))) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (= (and (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (and (tptp.pp (tptp.aa_real_bool P3 X2)) (tptp.pp (tptp.aa_real_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4459 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q5 tptp.fun_num_bool)) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P3 X4)))))) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q5 X4)))))) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (= (and (tptp.pp (tptp.aa_num_bool P X2)) (tptp.pp (tptp.aa_num_bool Q X2))) (and (tptp.pp (tptp.aa_num_bool P3 X2)) (tptp.pp (tptp.aa_num_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4460 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q5 tptp.fun_nat_bool)) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P3 X4)))))) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q5 X4)))))) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (= (and (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool Q X2))) (and (tptp.pp (tptp.aa_nat_bool P3 X2)) (tptp.pp (tptp.aa_nat_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4461 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q5 tptp.fun_int_bool)) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P3 X4)))))) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q5 X4)))))) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (= (and (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (and (tptp.pp (tptp.aa_int_bool P3 X2)) (tptp.pp (tptp.aa_int_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4462 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (P3 tptp.fun_Ex8563670519792538868t_bool) (Q tptp.fun_Ex8563670519792538868t_bool) (Q5 tptp.fun_Ex8563670519792538868t_bool)) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Z2)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X4)))))) (=> (exists ((Z2 tptp.extended_enat)) (forall ((X4 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X4) Z2)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X4)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X4)))))) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (= (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q X2))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P3 X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4463 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q5 tptp.fun_real_bool)) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P3 X4)))))) (=> (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q5 X4)))))) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (= (or (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (or (tptp.pp (tptp.aa_real_bool P3 X2)) (tptp.pp (tptp.aa_real_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4464 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q5 tptp.fun_num_bool)) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool P3 X4)))))) (=> (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (tptp.pp (tptp.aa_num_bool Q X4)) (tptp.pp (tptp.aa_num_bool Q5 X4)))))) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (= (or (tptp.pp (tptp.aa_num_bool P X2)) (tptp.pp (tptp.aa_num_bool Q X2))) (or (tptp.pp (tptp.aa_num_bool P3 X2)) (tptp.pp (tptp.aa_num_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4465 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q5 tptp.fun_nat_bool)) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool P3 X4)))))) (=> (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (tptp.pp (tptp.aa_nat_bool Q X4)) (tptp.pp (tptp.aa_nat_bool Q5 X4)))))) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (= (or (tptp.pp (tptp.aa_nat_bool P X2)) (tptp.pp (tptp.aa_nat_bool Q X2))) (or (tptp.pp (tptp.aa_nat_bool P3 X2)) (tptp.pp (tptp.aa_nat_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4466 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q5 tptp.fun_int_bool)) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P3 X4)))))) (=> (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q5 X4)))))) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (= (or (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (or (tptp.pp (tptp.aa_int_bool P3 X2)) (tptp.pp (tptp.aa_int_bool Q5 X2)))))))))))
% 16.70/16.90 (assume a4467 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4468 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4469 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4470 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4471 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4472 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4473 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4474 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4475 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4476 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (not (= X2 T)))))))
% 16.70/16.90 (assume a4477 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) T)))))))
% 16.70/16.90 (assume a4478 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) T)))))))
% 16.70/16.90 (assume a4479 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) T)))))))
% 16.70/16.90 (assume a4480 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) T)))))))
% 16.70/16.90 (assume a4481 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) T)))))))
% 16.70/16.90 (assume a4482 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat T) X2))))))))
% 16.70/16.90 (assume a4483 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X2))))))))
% 16.70/16.90 (assume a4484 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X2))))))))
% 16.70/16.90 (assume a4485 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X2))))))))
% 16.70/16.90 (assume a4486 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X2))))))))
% 16.70/16.90 (assume a4487 (forall ((A tptp.nat)) (= (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a4488 (forall ((A tptp.int)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a4489 (forall ((A tptp.code_integer)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_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))))))
% 16.70/16.90 (assume a4490 (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))))))
% 16.70/16.90 (assume a4491 (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))))))
% 16.70/16.90 (assume a4492 (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.aa_Cod1783974652533396728nteger (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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3))))))) (tptp.pp (tptp.aa_Code_integer_bool P A))))))
% 16.70/16.90 (assume a4493 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X2) T))))))))
% 16.70/16.90 (assume a4494 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) T))))))))
% 16.70/16.90 (assume a4495 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) T))))))))
% 16.70/16.90 (assume a4496 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) T))))))))
% 16.70/16.90 (assume a4497 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) T))))))))
% 16.70/16.90 (assume a4498 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat T) X2)))))))
% 16.70/16.90 (assume a4499 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X2)))))))
% 16.70/16.90 (assume a4500 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X2)))))))
% 16.70/16.90 (assume a4501 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X2)))))))
% 16.70/16.90 (assume a4502 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X2)))))))
% 16.70/16.90 (assume a4503 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat X2) T)))))))
% 16.70/16.90 (assume a4504 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) T)))))))
% 16.70/16.90 (assume a4505 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X2) T)))))))
% 16.70/16.90 (assume a4506 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) T)))))))
% 16.70/16.90 (assume a4507 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X2) T)))))))
% 16.70/16.90 (assume a4508 (forall ((T tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat T) X2))))))))
% 16.70/16.90 (assume a4509 (forall ((T tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X2))))))))
% 16.70/16.90 (assume a4510 (forall ((T tptp.num)) (exists ((Z3 tptp.num)) (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) Z3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X2))))))))
% 16.70/16.90 (assume a4511 (forall ((T tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X2))))))))
% 16.70/16.90 (assume a4512 (forall ((T tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X2))))))))
% 16.70/16.90 (assume a4513 (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)))))
% 16.70/16.90 (assume a4514 (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)))))
% 16.70/16.90 (assume a4515 (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.aa_Cod1783974652533396728nteger (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)))))
% 16.70/16.90 (assume a4516 (forall ((P tptp.fun_complex_bool) (D4 tptp.complex) (Q tptp.fun_complex_bool)) (=> (forall ((X4 tptp.complex) (K2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool P X4)) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_complex_complex (tptp.minus_minus_complex X4) (tptp.aa_complex_complex (tptp.times_times_complex K2) D4)))))) (=> (forall ((X4 tptp.complex) (K2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool Q X4)) (tptp.pp (tptp.aa_complex_bool Q (tptp.aa_complex_complex (tptp.minus_minus_complex X4) (tptp.aa_complex_complex (tptp.times_times_complex K2) D4)))))) (forall ((X2 tptp.complex) (K4 tptp.complex)) (= (and (tptp.pp (tptp.aa_complex_bool P X2)) (tptp.pp (tptp.aa_complex_bool Q X2))) (and (tptp.pp (tptp.aa_complex_bool P (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4)))) (tptp.pp (tptp.aa_complex_bool Q (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4)))))))))))
% 16.70/16.90 (assume a4517 (forall ((P tptp.fun_real_bool) (D4 tptp.real) (Q tptp.fun_real_bool)) (=> (forall ((X4 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (=> (forall ((X4 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (forall ((X2 tptp.real) (K4 tptp.real)) (= (and (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (and (tptp.pp (tptp.aa_real_bool P (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 K4) D4)))) (tptp.pp (tptp.aa_real_bool Q (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 K4) D4)))))))))))
% 16.70/16.90 (assume a4518 (forall ((P tptp.fun_int_bool) (D4 tptp.int) (Q tptp.fun_int_bool)) (=> (forall ((X4 tptp.int) (K2 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 K2) D4)))))) (=> (forall ((X4 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (forall ((X2 tptp.int) (K4 tptp.int)) (= (and (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (and (tptp.pp (tptp.aa_int_bool P (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 K4) D4)))) (tptp.pp (tptp.aa_int_bool Q (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 K4) D4)))))))))))
% 16.70/16.90 (assume a4519 (forall ((P tptp.fun_complex_bool) (D4 tptp.complex) (Q tptp.fun_complex_bool)) (=> (forall ((X4 tptp.complex) (K2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool P X4)) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_complex_complex (tptp.minus_minus_complex X4) (tptp.aa_complex_complex (tptp.times_times_complex K2) D4)))))) (=> (forall ((X4 tptp.complex) (K2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool Q X4)) (tptp.pp (tptp.aa_complex_bool Q (tptp.aa_complex_complex (tptp.minus_minus_complex X4) (tptp.aa_complex_complex (tptp.times_times_complex K2) D4)))))) (forall ((X2 tptp.complex) (K4 tptp.complex)) (= (or (tptp.pp (tptp.aa_complex_bool P X2)) (tptp.pp (tptp.aa_complex_bool Q X2))) (or (tptp.pp (tptp.aa_complex_bool P (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4)))) (tptp.pp (tptp.aa_complex_bool Q (tptp.aa_complex_complex (tptp.minus_minus_complex X2) (tptp.aa_complex_complex (tptp.times_times_complex K4) D4)))))))))))
% 16.70/16.90 (assume a4520 (forall ((P tptp.fun_real_bool) (D4 tptp.real) (Q tptp.fun_real_bool)) (=> (forall ((X4 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (=> (forall ((X4 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool Q X4)) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (forall ((X2 tptp.real) (K4 tptp.real)) (= (or (tptp.pp (tptp.aa_real_bool P X2)) (tptp.pp (tptp.aa_real_bool Q X2))) (or (tptp.pp (tptp.aa_real_bool P (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 K4) D4)))) (tptp.pp (tptp.aa_real_bool Q (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 K4) D4)))))))))))
% 16.70/16.90 (assume a4521 (forall ((P tptp.fun_int_bool) (D4 tptp.int) (Q tptp.fun_int_bool)) (=> (forall ((X4 tptp.int) (K2 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 K2) D4)))))) (=> (forall ((X4 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool Q X4)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (forall ((X2 tptp.int) (K4 tptp.int)) (= (or (tptp.pp (tptp.aa_int_bool P X2)) (tptp.pp (tptp.aa_int_bool Q X2))) (or (tptp.pp (tptp.aa_int_bool P (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 K4) D4)))) (tptp.pp (tptp.aa_int_bool Q (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 K4) D4)))))))))))
% 16.70/16.90 (assume a4522 (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))))))
% 16.70/16.90 (assume a4523 (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))))))
% 16.70/16.90 (assume a4524 (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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_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))))))
% 16.70/16.90 (assume a4525 (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.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.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)))))))))))
% 16.70/16.90 (assume a4526 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z3 tptp.code_integer)) (forall ((X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Z3) X2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3)))))))))
% 16.70/16.90 (assume a4527 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3)))))))))
% 16.70/16.90 (assume a4528 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4529 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4530 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4531 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z3 tptp.code_integer)) (forall ((X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger Z3) X2)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3))))))))))
% 16.70/16.90 (assume a4532 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Z3) X2)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3)))) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3))))))))))
% 16.70/16.90 (assume a4533 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X2)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4534 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X2)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4535 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X2)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4536 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z3 tptp.code_integer)) (forall ((X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger X2) Z3)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3)))))))))
% 16.70/16.90 (assume a4537 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3)))))))))
% 16.70/16.90 (assume a4538 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4539 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4540 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (= (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 X2) S3))) (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 X2) S3)))))))))
% 16.70/16.90 (assume a4541 (forall ((D tptp.code_integer) (S3 tptp.code_integer)) (exists ((Z3 tptp.code_integer)) (forall ((X2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger X2) Z3)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X2 S3))))))))))
% 16.70/16.90 (assume a4542 (forall ((D tptp.extended_enat) (S3 tptp.extended_enat)) (exists ((Z3 tptp.extended_enat)) (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) Z3)) (= (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3)))) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.dvd_dv3785147216227455552d_enat D) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X2) S3))))))))))
% 16.70/16.90 (assume a4543 (forall ((D tptp.real) (S3 tptp.real)) (exists ((Z3 tptp.real)) (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) Z3)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4544 (forall ((D tptp.nat) (S3 tptp.nat)) (exists ((Z3 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Z3)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4545 (forall ((D tptp.int) (S3 tptp.int)) (exists ((Z3 tptp.int)) (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) Z3)) (= (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 X2) S3)))) (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 X2) S3))))))))))
% 16.70/16.90 (assume a4546 (forall ((X tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) X)) (=> (=> (= X tptp.zero_zero_nat) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) tptp.zero_zero_nat))))) (=> (=> (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))) (not (forall ((Va2 tptp.nat)) (=> (= X (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.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.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)))))))))))))))
% 16.70/16.90 (assume a4547 (forall ((X tptp.fun_Pr2602117396471556196at_nat) (X22 tptp.product_prod_nat_nat)) (= (tptp.size_o8335143837870341156at_nat X (tptp.some_P7363390416028606310at_nat X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_Pro4243173770044397973at_nat X X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4548 (forall ((X tptp.fun_nat_nat) (X22 tptp.nat)) (= (tptp.size_option_nat X (tptp.some_nat X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat X X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4549 (forall ((X tptp.fun_num_nat) (X22 tptp.num)) (= (tptp.size_option_num X (tptp.some_num X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat X X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.90 (assume a4550 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))
% 16.70/16.90 (assume a4551 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.90 (assume a4552 (forall ((X tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) (tptp.aa_nat_set_nat tptp.nat_set_decode X))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))))))
% 16.70/16.90 (assume a4553 (forall ((N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_set_nat tptp.nat_set_decode X))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.90 (assume a4554 (forall ((X tptp.set_int) (Y tptp.set_int)) (= (= (tptp.minus_minus_set_int X Y) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X) Y)))))
% 16.70/16.90 (assume a4555 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (= (tptp.minus_minus_set_real X Y) tptp.bot_bot_set_real) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)))))
% 16.70/16.90 (assume a4556 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.minus_minus_set_nat X Y) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)))))
% 16.70/16.90 (assume a4557 (forall ((R tptp.complex) (A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (=> (not (= R 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 R) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) (tptp.aa_complex_complex (tptp.times_times_complex R) D))))))))
% 16.70/16.90 (assume a4558 (forall ((R tptp.real) (A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (not (= R 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 R) 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 R) D))))))))
% 16.70/16.90 (assume a4559 (forall ((R tptp.nat) (A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (not (= R 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 R) 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 R) D))))))))
% 16.70/16.90 (assume a4560 (forall ((R tptp.int) (A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (not (= R 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 R) 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 R) D))))))))
% 16.70/16.90 (assume a4561 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.90 (assume a4562 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.90 (assume a4563 (forall ((K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.90 (assume a4564 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a4565 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) L)))))
% 16.70/16.90 (assume a4566 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L)))))
% 16.70/16.90 (assume a4567 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)))))
% 16.70/16.90 (assume a4568 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.nat_set_decode M)) (tptp.aa_nat_set_nat tptp.nat_set_decode N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 16.70/16.90 (assume a4569 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.90 (assume a4570 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger M A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.90 (assume a4571 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.90 (assume a4572 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.90 (assume a4573 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)))))
% 16.70/16.90 (assume a4574 (forall ((B tptp.complex) (A tptp.complex)) (= (= B (tptp.aa_complex_complex (tptp.plus_plus_complex B) A)) (= A tptp.zero_zero_complex))))
% 16.70/16.90 (assume a4575 (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))))
% 16.70/16.90 (assume a4576 (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))))
% 16.70/16.90 (assume a4577 (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))))
% 16.70/16.90 (assume a4578 (forall ((W tptp.complex) (Y tptp.complex) (X tptp.complex) (Z tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex W) Y)) (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex W) Z)) (tptp.aa_complex_complex (tptp.times_times_complex X) Y))) (or (= W X) (= Y Z)))))
% 16.70/16.90 (assume a4579 (forall ((W tptp.real) (Y tptp.real) (X tptp.real) (Z tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (or (= W X) (= Y Z)))))
% 16.70/16.90 (assume a4580 (forall ((W tptp.nat) (Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y))) (or (= W X) (= Y Z)))))
% 16.70/16.90 (assume a4581 (forall ((W tptp.int) (Y tptp.int) (X tptp.int) (Z tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y))) (or (= W X) (= Y Z)))))
% 16.70/16.90 (assume a4582 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B) D)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) D)) (tptp.aa_complex_complex (tptp.times_times_complex B) C)))))))
% 16.70/16.90 (assume a4583 (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)))))))
% 16.70/16.90 (assume a4584 (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)))))))
% 16.70/16.90 (assume a4585 (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)))))))
% 16.70/16.90 (assume a4586 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.90 (assume a4587 (forall ((X tptp.fun_Pr2602117396471556196at_nat)) (= (tptp.size_o8335143837870341156at_nat X tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.70/16.90 (assume a4588 (forall ((X tptp.fun_nat_nat)) (= (tptp.size_option_nat X tptp.none_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.70/16.90 (assume a4589 (forall ((X tptp.fun_num_nat)) (= (tptp.size_option_num X tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.70/16.90 (assume a4590 (forall ((X tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode X) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_dq X)))))
% 16.70/16.90 (assume a4591 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))))
% 16.70/16.90 (assume a4592 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.70/16.90 (assume a4593 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.artanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.90 (assume a4594 (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_dr L)) Qr))))
% 16.70/16.90 (assume a4595 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) Qr) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_ds L)) Qr))))
% 16.70/16.90 (assume a4596 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_dt L) Qr))))
% 16.70/16.90 (assume a4597 (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)))))))
% 16.70/16.90 (assume a4598 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))))
% 16.70/16.90 (assume a4599 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.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)))))))))
% 16.70/16.90 (assume a4600 (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)))))))))
% 16.70/16.90 (assume a4601 (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)))))
% 16.70/16.90 (assume a4602 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K) L)))))
% 16.70/16.90 (assume a4603 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K) L)))))
% 16.70/16.90 (assume a4604 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K) L)))))
% 16.70/16.90 (assume a4605 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K) L)))))
% 16.70/16.90 (assume a4606 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K) L)))))
% 16.70/16.90 (assume a4607 (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.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real B2)) (tptp.uminus612125837232591019t_real A2))))))
% 16.70/16.90 (assume a4608 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat B2)) (tptp.uminus5710092332889474511et_nat A2))))))
% 16.70/16.90 (assume a4609 (forall ((A2 tptp.set_real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real A2)) (tptp.uminus612125837232591019t_real B2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)))))
% 16.70/16.90 (assume a4610 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat A2)) (tptp.uminus5710092332889474511et_nat B2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)))))
% 16.70/16.90 (assume a4611 (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)))))
% 16.70/16.90 (assume a4612 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)))))
% 16.70/16.90 (assume a4613 (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)))))
% 16.70/16.90 (assume a4614 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real X)) (tptp.uminus612125837232591019t_real Y))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) X)))))
% 16.70/16.90 (assume a4615 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X)) (tptp.uminus5710092332889474511et_nat Y))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X)))))
% 16.70/16.90 (assume a4616 (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)))))
% 16.70/16.90 (assume a4617 (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)))))
% 16.70/16.90 (assume a4618 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) B)))))
% 16.70/16.90 (assume a4619 (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))))
% 16.70/16.90 (assume a4620 (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))))
% 16.70/16.90 (assume a4621 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (= M N))))
% 16.70/16.90 (assume a4622 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (= M N))))
% 16.70/16.90 (assume a4623 (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)))))
% 16.70/16.90 (assume a4624 (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)))))
% 16.70/16.90 (assume a4625 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)))))
% 16.70/16.90 (assume a4626 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)))))
% 16.70/16.90 (assume a4627 (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))))
% 16.70/16.90 (assume a4628 (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))))
% 16.70/16.90 (assume a4629 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex (tptp.times_times_complex A) B))))
% 16.70/16.90 (assume a4630 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger A)) (tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B))))
% 16.70/16.90 (assume a4631 (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)))))
% 16.70/16.90 (assume a4632 (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)))))
% 16.70/16.90 (assume a4633 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)))))
% 16.70/16.90 (assume a4634 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger A)) B) (tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) B)))))
% 16.70/16.90 (assume a4635 (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)))))
% 16.70/16.90 (assume a4636 (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)))))
% 16.70/16.90 (assume a4637 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.70/16.90 (assume a4638 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) (tptp.uminus1351360451143612070nteger B)))))
% 16.70/16.90 (assume a4639 (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)))
% 16.70/16.90 (assume a4640 (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)))
% 16.70/16.90 (assume a4641 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) B)))
% 16.70/16.90 (assume a4642 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) (tptp.plus_p5714425477246183910nteger A B)) B)))
% 16.70/16.90 (assume a4643 (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)))
% 16.70/16.90 (assume a4644 (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)))
% 16.70/16.90 (assume a4645 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B)) B)))
% 16.70/16.90 (assume a4646 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) B)) B)))
% 16.70/16.90 (assume a4647 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int (tptp.divide_divide_int A) B))))
% 16.70/16.90 (assume a4648 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.uminus1351360451143612070nteger A) (tptp.uminus1351360451143612070nteger B)) (tptp.divide6298287555418463151nteger A B))))
% 16.70/16.90 (assume a4649 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 16.70/16.90 (assume a4650 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real tptp.ln_ln_real Y)) (= X Y))))))
% 16.70/16.90 (assume a4651 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B)))))
% 16.70/16.90 (assume a4652 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A) (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A B)))))
% 16.70/16.90 (assume a4653 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.90 (assume a4654 (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)))
% 16.70/16.90 (assume a4655 (forall ((X tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real) (= X A))))
% 16.70/16.90 (assume a4656 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))
% 16.70/16.90 (assume a4657 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)))))
% 16.70/16.90 (assume a4658 (forall ((F tptp.fun_nat_fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) B))))
% 16.70/16.90 (assume a4659 (forall ((F tptp.fun_na1668100129766719005at_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F A) B))))
% 16.70/16.90 (assume a4660 (forall ((F tptp.fun_na4786964484885125043t_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F A) B))))
% 16.70/16.90 (assume a4661 (forall ((F tptp.fun_in1696471567231710611nt_int) (A tptp.int) (B tptp.int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F A) B))))
% 16.70/16.90 (assume a4662 (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)))))
% 16.70/16.90 (assume a4663 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4664 (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)))))
% 16.70/16.90 (assume a4665 (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)))))
% 16.70/16.90 (assume a4666 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.70/16.90 (assume a4667 (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)))))
% 16.70/16.90 (assume a4668 (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)))))
% 16.70/16.90 (assume a4669 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4670 (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)))))
% 16.70/16.90 (assume a4671 (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)))))
% 16.70/16.90 (assume a4672 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.70/16.90 (assume a4673 (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)))))
% 16.70/16.90 (assume a4674 (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)))))
% 16.70/16.90 (assume a4675 (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)))))
% 16.70/16.90 (assume a4676 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.70/16.90 (assume a4677 (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)))))
% 16.70/16.90 (assume a4678 (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)))))
% 16.70/16.90 (assume a4679 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4680 (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)))))
% 16.70/16.90 (assume a4681 (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)))))
% 16.70/16.90 (assume a4682 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.70/16.90 (assume a4683 (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)))))
% 16.70/16.90 (assume a4684 (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)))))
% 16.70/16.90 (assume a4685 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.90 (assume a4686 (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)))
% 16.70/16.90 (assume a4687 (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)))
% 16.70/16.90 (assume a4688 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) tptp.zero_zero_complex)))
% 16.70/16.90 (assume a4689 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a4690 (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)))
% 16.70/16.90 (assume a4691 (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)))
% 16.70/16.90 (assume a4692 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 16.70/16.90 (assume a4693 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.90 (assume a4694 (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))))))
% 16.70/16.90 (assume a4695 (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))))))
% 16.70/16.90 (assume a4696 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N))))))
% 16.70/16.90 (assume a4697 (forall ((M tptp.num) (N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N))))))
% 16.70/16.90 (assume a4698 (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))))
% 16.70/16.90 (assume a4699 (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))))
% 16.70/16.90 (assume a4700 (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))))
% 16.70/16.90 (assume a4701 (forall ((Z tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Z) (tptp.uminus1351360451143612070nteger Z))))
% 16.70/16.90 (assume a4702 (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))))
% 16.70/16.90 (assume a4703 (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))))
% 16.70/16.90 (assume a4704 (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))))
% 16.70/16.90 (assume a4705 (forall ((Z tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger Z) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger Z))))
% 16.70/16.90 (assume a4706 (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))))
% 16.70/16.90 (assume a4707 (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))))
% 16.70/16.90 (assume a4708 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))
% 16.70/16.90 (assume a4709 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.uminus1351360451143612070nteger B)) (tptp.plus_p5714425477246183910nteger A B))))
% 16.70/16.90 (assume a4710 (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))))
% 16.70/16.90 (assume a4711 (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))))
% 16.70/16.90 (assume a4712 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B) (tptp.aa_complex_complex (tptp.minus_minus_complex B) A))))
% 16.70/16.90 (assume a4713 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) B) (tptp.minus_8373710615458151222nteger B A))))
% 16.70/16.90 (assume a4714 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int A))))
% 16.70/16.90 (assume a4715 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger A))))
% 16.70/16.90 (assume a4716 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real X))))
% 16.70/16.90 (assume a4717 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))))
% 16.70/16.90 (assume a4718 (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.minus_minus_int B) A)) B) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))
% 16.70/16.90 (assume a4719 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger B A) B) (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A) B))))
% 16.70/16.90 (assume a4720 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 16.70/16.90 (assume a4721 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int tptp.zero_zero_nat) A) tptp.zero_zero_int)))
% 16.70/16.90 (assume a4722 (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)))
% 16.70/16.90 (assume a4723 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 16.70/16.90 (assume a4724 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 16.70/16.90 (assume a4725 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (= (tptp.aa_real_real tptp.ln_ln_real X) tptp.zero_zero_real) (= X tptp.one_one_real)))))
% 16.70/16.90 (assume a4726 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.90 (assume a4727 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_nat) tptp.one_one_nat)))
% 16.70/16.90 (assume a4728 (forall ((L tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.90 (assume a4729 (forall ((L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_nat) tptp.one_one_nat)))
% 16.70/16.90 (assume a4730 (= (tptp.aa_real_real tptp.ln_ln_real tptp.one_one_real) tptp.zero_zero_real))
% 16.70/16.90 (assume a4731 (forall ((N tptp.nat)) (= (tptp.bit_ri6519982836138164636nteger N (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.90 (assume a4732 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.90 (assume a4733 (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))))))
% 16.70/16.90 (assume a4734 (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))))))
% 16.70/16.90 (assume a4735 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K))))))
% 16.70/16.90 (assume a4736 (forall ((K tptp.num)) (= (tptp.neg_nu8804712462038260780nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.uminus1351360451143612070nteger (tptp.neg_nu8804712462038260780nteger (tptp.numera6620942414471956472nteger K))))))
% 16.70/16.90 (assume a4737 (= (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))
% 16.70/16.90 (assume a4738 (= (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))
% 16.70/16.90 (assume a4739 (= (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))
% 16.70/16.90 (assume a4740 (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 16.70/16.90 (assume a4741 (= (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))
% 16.70/16.90 (assume a4742 (= (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))
% 16.70/16.90 (assume a4743 (= (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))
% 16.70/16.90 (assume a4744 (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))
% 16.70/16.90 (assume a4745 (= (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))
% 16.70/16.90 (assume a4746 (= (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))
% 16.70/16.90 (assume a4747 (= (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))
% 16.70/16.90 (assume a4748 (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 16.70/16.90 (assume a4749 (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))))
% 16.70/16.90 (assume a4750 (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))))
% 16.70/16.90 (assume a4751 (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))))
% 16.70/16.90 (assume a4752 (forall ((N tptp.num)) (= (= (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= N tptp.one))))
% 16.70/16.90 (assume a4753 (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))))
% 16.70/16.90 (assume a4754 (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))))
% 16.70/16.90 (assume a4755 (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))))
% 16.70/16.90 (assume a4756 (forall ((N tptp.num)) (= (= (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (= N tptp.one))))
% 16.70/16.90 (assume a4757 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) A)) A)))
% 16.70/16.90 (assume a4758 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) A)) A)))
% 16.70/16.91 (assume a4759 (forall ((N tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) A)) A)))
% 16.70/16.91 (assume a4760 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) A)) A)))
% 16.70/16.91 (assume a4761 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) tptp.one_one_real)))
% 16.70/16.91 (assume a4762 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) tptp.one_one_int)))
% 16.70/16.91 (assume a4763 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) tptp.one_one_complex)))
% 16.70/16.91 (assume a4764 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a4765 (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)))
% 16.70/16.91 (assume a4766 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.91 (assume a4767 (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)))))))
% 16.70/16.91 (assume a4768 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))))) (= (tptp.ord_max_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)))))))
% 16.70/16.91 (assume a4769 (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)))))))
% 16.70/16.91 (assume a4770 (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)))))))
% 16.70/16.91 (assume a4771 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.numera6620942414471956472nteger V))) (= (tptp.ord_max_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)) (tptp.numera6620942414471956472nteger V))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U))) (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)) (tptp.numera6620942414471956472nteger V)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger U)))))))
% 16.70/16.91 (assume a4772 (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)))))))
% 16.70/16.91 (assume a4773 (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))))))
% 16.70/16.91 (assume a4774 (forall ((U tptp.num) (V tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger U)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))))) (= (tptp.ord_max_Code_integer (tptp.numera6620942414471956472nteger U) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.numera6620942414471956472nteger U))))))
% 16.70/16.91 (assume a4775 (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))))))
% 16.70/16.91 (assume a4776 (forall ((N tptp.nat)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.one_one_int) tptp.zero_zero_int) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a4777 (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))))
% 16.70/16.91 (assume a4778 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 16.70/16.91 (assume a4779 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 16.70/16.91 (assume a4780 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W)))) Y))))
% 16.70/16.91 (assume a4781 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W)))) Y))))
% 16.70/16.91 (assume a4782 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W)))) Y))))
% 16.70/16.91 (assume a4783 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W)) Y)) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V) W))) Y))))
% 16.70/16.91 (assume a4784 (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.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a4785 (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.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a4786 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a4787 (forall ((M tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.numera6620942414471956472nteger M) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a4788 (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.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.91 (assume a4789 (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.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.91 (assume a4790 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.91 (assume a4791 (forall ((M tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N))))))
% 16.70/16.91 (assume a4792 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4793 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4794 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4795 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger W)) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4796 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4797 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4798 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4799 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W)))) Y))))
% 16.70/16.91 (assume a4800 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Y))))
% 16.70/16.91 (assume a4801 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Y))))
% 16.70/16.91 (assume a4802 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Y))))
% 16.70/16.91 (assume a4803 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V) W))) Y))))
% 16.70/16.91 (assume a4804 (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.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.91 (assume a4805 (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.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.91 (assume a4806 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.91 (assume a4807 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N)))))
% 16.70/16.91 (assume a4808 (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.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4809 (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.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4810 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4811 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4812 (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.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4813 (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.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4814 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4815 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N))))))
% 16.70/16.91 (assume a4816 (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)))))
% 16.70/16.91 (assume a4817 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M)))))
% 16.70/16.91 (assume a4818 (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)))))
% 16.70/16.91 (assume a4819 (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)))))
% 16.70/16.91 (assume a4820 (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)))))
% 16.70/16.91 (assume a4821 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M)))))
% 16.70/16.91 (assume a4822 (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)))))
% 16.70/16.91 (assume a4823 (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)))))
% 16.70/16.91 (assume a4824 (forall ((M tptp.num)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))))) (not (= M tptp.one)))))
% 16.70/16.91 (assume a4825 (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)))))
% 16.70/16.91 (assume a4826 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real 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 W))))))))
% 16.70/16.91 (assume a4827 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B)))))
% 16.70/16.91 (assume a4828 (forall ((A tptp.real) (B tptp.real) (W 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 W)))) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) B)) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.70/16.91 (assume a4829 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) B)) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.70/16.91 (assume a4830 (forall ((B tptp.real) (W 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 W))) A) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= 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 W))))) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.70/16.91 (assume a4831 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) A) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.70/16.91 (assume a4832 (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)))))
% 16.70/16.91 (assume a4833 (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)))))
% 16.70/16.91 (assume a4834 (forall ((M tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))) (not (= M tptp.one)))))
% 16.70/16.91 (assume a4835 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real 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 W))))))))
% 16.70/16.91 (assume a4836 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B)))))
% 16.70/16.91 (assume a4837 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4838 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4839 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4840 (forall ((A tptp.code_integer)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4841 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N tptp.one_one_Code_integer) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.70/16.91 (assume a4842 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.one_one_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.70/16.91 (assume a4843 (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)))))
% 16.70/16.91 (assume a4844 (= (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)))))
% 16.70/16.91 (assume a4845 (= (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)))))
% 16.70/16.91 (assume a4846 (= (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)))))
% 16.70/16.91 (assume a4847 (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a4848 (= (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)))))
% 16.70/16.91 (assume a4849 (= (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)))))
% 16.70/16.91 (assume a4850 (= (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)))))
% 16.70/16.91 (assume a4851 (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a4852 (= (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))))
% 16.70/16.91 (assume a4853 (= (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))))
% 16.70/16.91 (assume a4854 (= (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))))
% 16.70/16.91 (assume a4855 (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.91 (assume a4856 (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 16.70/16.91 (assume a4857 (= (tptp.divide6298287555418463151nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a4858 (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.70/16.91 (assume a4859 (= (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.70/16.91 (assume a4860 (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.70/16.91 (assume a4861 (= (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.70/16.91 (assume a4862 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a4863 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a4864 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a4865 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a4866 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.91 (assume a4867 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.91 (assume a4868 (forall ((N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.91 (assume a4869 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.70/16.91 (assume a4870 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 16.70/16.91 (assume a4871 (forall ((N tptp.nat) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.70/16.91 (assume a4872 (forall ((N tptp.nat) (A tptp.complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N))))))
% 16.70/16.91 (assume a4873 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N) (tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))))))
% 16.70/16.91 (assume a4874 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a4875 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a4876 (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))))))
% 16.70/16.91 (assume a4877 (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.aa_num_fun_num_num tptp.plus_plus_num M) tptp.one))))))
% 16.70/16.91 (assume a4878 (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.aa_num_fun_num_num tptp.plus_plus_num M) tptp.one))))))
% 16.70/16.91 (assume a4879 (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.aa_num_fun_num_num tptp.plus_plus_num M) tptp.one))))))
% 16.70/16.91 (assume a4880 (forall ((M tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) tptp.one))))))
% 16.70/16.91 (assume a4881 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.91 (assume a4882 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.91 (assume a4883 (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.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.91 (assume a4884 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.70/16.91 (assume a4885 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4886 (= (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)))))
% 16.70/16.91 (assume a4887 (= (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)))))
% 16.70/16.91 (assume a4888 (= (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)))))
% 16.70/16.91 (assume a4889 (= (tptp.neg_nu8804712462038260780nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a4890 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_real)))
% 16.70/16.91 (assume a4891 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))
% 16.70/16.91 (assume a4892 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_complex)))
% 16.70/16.91 (assume a4893 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a4894 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real))))
% 16.70/16.91 (assume a4895 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int))))
% 16.70/16.91 (assume a4896 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex))))
% 16.70/16.91 (assume a4897 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a4898 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.70/16.91 (assume a4899 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.70/16.91 (assume a4900 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 16.70/16.91 (assume a4901 (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_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a4902 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4903 (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))))))
% 16.70/16.91 (assume a4904 (forall ((A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger tptp.zero_zero_nat A) (tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a4905 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int tptp.zero_zero_nat) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a4906 (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.aa_Cod1783974652533396728nteger (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)))))
% 16.70/16.91 (assume a4907 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a4908 (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)))))
% 16.70/16.91 (assume a4909 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (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))))))
% 16.70/16.91 (assume a4910 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a4911 (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))))))
% 16.70/16.91 (assume a4912 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)))))
% 16.70/16.91 (assume a4913 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))
% 16.70/16.91 (assume a4914 (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)))))
% 16.70/16.91 (assume a4915 (forall ((N tptp.nat) (A tptp.int) (B tptp.int) (M tptp.nat)) (=> (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_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.bit_se2923211474154528505it_int M) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) B))))))
% 16.70/16.91 (assume a4916 (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))))))
% 16.70/16.91 (assume a4917 (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))))
% 16.70/16.91 (assume a4918 (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))))))
% 16.70/16.91 (assume a4919 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) L))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) L)))))
% 16.70/16.91 (assume a4920 (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))))))
% 16.70/16.91 (assume a4921 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) (tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger B) (tptp.uminus1351360451143612070nteger A))))))
% 16.70/16.91 (assume a4922 (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))))))
% 16.70/16.91 (assume a4923 (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)))))
% 16.70/16.91 (assume a4924 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger B)) A)))))
% 16.70/16.91 (assume a4925 (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)))))
% 16.70/16.91 (assume a4926 (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))))))
% 16.70/16.91 (assume a4927 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger A))))))
% 16.70/16.91 (assume a4928 (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))))))
% 16.70/16.91 (assume a4929 (forall ((X tptp.set_real) (Y tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real Y)) (tptp.uminus612125837232591019t_real X))))))
% 16.70/16.91 (assume a4930 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y)) (tptp.uminus5710092332889474511et_nat X))))))
% 16.70/16.91 (assume a4931 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Y) (tptp.uminus612125837232591019t_real X))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) (tptp.uminus612125837232591019t_real Y))))))
% 16.70/16.91 (assume a4932 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) (tptp.uminus5710092332889474511et_nat X))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) (tptp.uminus5710092332889474511et_nat Y))))))
% 16.70/16.91 (assume a4933 (forall ((Y tptp.set_real) (X tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real Y)) X)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.uminus612125837232591019t_real X)) Y)))))
% 16.70/16.91 (assume a4934 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y)) X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X)) Y)))))
% 16.70/16.91 (assume a4935 (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)))))
% 16.70/16.91 (assume a4936 (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)))))
% 16.70/16.91 (assume a4937 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger B)) A)))))
% 16.70/16.91 (assume a4938 (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))))))
% 16.70/16.91 (assume a4939 (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))))))
% 16.70/16.91 (assume a4940 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) (tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger B) (tptp.uminus1351360451143612070nteger A))))))
% 16.70/16.91 (assume a4941 (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))))))
% 16.70/16.91 (assume a4942 (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))))))
% 16.70/16.91 (assume a4943 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger A))))))
% 16.70/16.91 (assume a4944 (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))))))
% 16.70/16.91 (assume a4945 (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))))))
% 16.70/16.91 (assume a4946 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.numera6690914467698888265omplex M) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.70/16.91 (assume a4947 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.numera6620942414471956472nteger M) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 16.70/16.91 (assume a4948 (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)))))
% 16.70/16.91 (assume a4949 (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)))))
% 16.70/16.91 (assume a4950 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)))))
% 16.70/16.91 (assume a4951 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N)))))
% 16.70/16.91 (assume a4952 (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)))))
% 16.70/16.91 (assume a4953 (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)))))
% 16.70/16.91 (assume a4954 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.70/16.91 (assume a4955 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger A)) B) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) (tptp.uminus1351360451143612070nteger B)))))
% 16.70/16.91 (assume a4956 (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))))))
% 16.70/16.91 (assume a4957 (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))))))
% 16.70/16.91 (assume a4958 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) A) (tptp.aa_complex_complex (tptp.times_times_complex B) B)) (or (= A B) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))))
% 16.70/16.91 (assume a4959 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger A) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) B)) (or (= A B) (= A (tptp.uminus1351360451143612070nteger B))))))
% 16.70/16.91 (assume a4960 (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)))))
% 16.70/16.91 (assume a4961 (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)))))
% 16.70/16.91 (assume a4962 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.70/16.91 (assume a4963 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger B) (tptp.uminus1351360451143612070nteger A)))))
% 16.70/16.91 (assume a4964 (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))))))
% 16.70/16.91 (assume a4965 (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))))))
% 16.70/16.91 (assume a4966 (forall ((A2 tptp.complex) (K tptp.complex) (A tptp.complex)) (=> (= A2 (tptp.aa_complex_complex (tptp.plus_plus_complex K) A)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))))
% 16.70/16.91 (assume a4967 (forall ((A2 tptp.code_integer) (K tptp.code_integer) (A tptp.code_integer)) (=> (= A2 (tptp.plus_p5714425477246183910nteger K A)) (= (tptp.uminus1351360451143612070nteger A2) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger K) (tptp.uminus1351360451143612070nteger A))))))
% 16.70/16.91 (assume a4968 (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)))))
% 16.70/16.91 (assume a4969 (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)))))
% 16.70/16.91 (assume a4970 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.70/16.91 (assume a4971 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger B) (tptp.uminus1351360451143612070nteger A)))))
% 16.70/16.91 (assume a4972 (not (= tptp.one_one_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 16.70/16.91 (assume a4973 (not (= tptp.one_one_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a4974 (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 16.70/16.91 (assume a4975 (not (= tptp.one_one_Code_integer (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a4976 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) L))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)))))
% 16.70/16.91 (assume a4977 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)))))
% 16.70/16.91 (assume a4978 (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.uminus_uminus_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.minus_minus_int A) B)))))
% 16.70/16.91 (assume a4979 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)))))
% 16.70/16.91 (assume a4980 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger A) (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger (tptp.minus_8373710615458151222nteger A B)))))
% 16.70/16.91 (assume a4981 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))
% 16.70/16.91 (assume a4982 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.uminus1351360451143612070nteger B)) (tptp.divide6298287555418463151nteger (tptp.uminus1351360451143612070nteger A) B))))
% 16.70/16.91 (assume a4983 (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))))
% 16.70/16.91 (assume a4984 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B))))
% 16.70/16.91 (assume a4985 (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))))
% 16.70/16.91 (assume a4986 (forall ((A tptp.complex) (B tptp.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))))
% 16.70/16.91 (assume a4987 (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)))))
% 16.70/16.91 (assume a4988 (forall ((A tptp.complex) (B tptp.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)))))
% 16.70/16.91 (assume a4989 (forall ((F tptp.fun_nat_fun_nat_bool) (X1 tptp.nat) (X22 tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X22))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F X1) X22)))))
% 16.70/16.91 (assume a4990 (forall ((F tptp.fun_nat_fun_nat_nat) (X1 tptp.nat) (X22 tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X1) X22))))
% 16.70/16.91 (assume a4991 (forall ((F tptp.fun_na1668100129766719005at_nat) (X1 tptp.nat) (X22 tptp.nat)) (= (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X22)) (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F X1) X22))))
% 16.70/16.91 (assume a4992 (forall ((F tptp.fun_na4786964484885125043t_bool) (X1 tptp.nat) (X22 tptp.nat)) (= (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X22)) (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F X1) X22))))
% 16.70/16.91 (assume a4993 (forall ((F tptp.fun_in1696471567231710611nt_int) (X1 tptp.int) (X22 tptp.int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X1) X22)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F X1) X22))))
% 16.70/16.91 (assume a4994 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)))))
% 16.70/16.91 (assume a4995 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A) B)))))
% 16.70/16.91 (assume a4996 (forall ((A tptp.int) (B tptp.int) (A5 tptp.int)) (=> (= (tptp.aa_int_int (tptp.modulo_modulo_int A) B) (tptp.aa_int_int (tptp.modulo_modulo_int A5) B)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A5)) B)))))
% 16.70/16.91 (assume a4997 (forall ((A tptp.code_integer) (B tptp.code_integer) (A5 tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A B) (tptp.modulo364778990260209775nteger A5 B)) (= (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A) B) (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A5) B)))))
% 16.70/16.91 (assume a4998 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.modulo_modulo_int A) B))) B) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))
% 16.70/16.91 (assume a4999 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A B)) B) (tptp.modulo364778990260209775nteger (tptp.uminus1351360451143612070nteger A) B))))
% 16.70/16.91 (assume a5000 (forall ((N tptp.nat) (B tptp.int)) (= (tptp.bit_concat_bit N (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B)) (tptp.bit_concat_bit N B))))
% 16.70/16.91 (assume a5001 (forall ((N tptp.nat) (K tptp.int) (L tptp.int) (R tptp.int) (S3 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.bit_concat_bit N R) S3)) (and (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) R)) (= L S3)))))
% 16.70/16.91 (assume a5002 (forall ((F tptp.fun_nat_fun_nat_bool) (G tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F X4) Y3)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3))))) (= (tptp.produc8955392012077580105t_bool F) G))))
% 16.70/16.91 (assume a5003 (forall ((F tptp.fun_nat_fun_nat_nat) (G tptp.fun_Pr2602117396471556196at_nat)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X4) Y3) (tptp.aa_Pro4243173770044397973at_nat G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)))) (= (tptp.produc6842872674320459806at_nat F) G))))
% 16.70/16.91 (assume a5004 (forall ((F tptp.fun_na1668100129766719005at_nat) (G tptp.fun_Pr2477239776880934807at_nat)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F X4) Y3) (tptp.aa_Pro8023792847356852296at_nat G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)))) (= (tptp.produc4528391901023682385at_nat F) G))))
% 16.70/16.91 (assume a5005 (forall ((F tptp.fun_na4786964484885125043t_bool) (G tptp.fun_Pr248683899324676269t_bool)) (=> (forall ((X4 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F X4) Y3) (tptp.aa_Pro595088089689268830t_bool G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)))) (= (tptp.produc5023667602222594023t_bool F) G))))
% 16.70/16.91 (assume a5006 (forall ((F tptp.fun_in1696471567231710611nt_int) (G tptp.fun_Pr2478283820680522243nt_int)) (=> (forall ((X4 tptp.int) (Y3 tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F X4) Y3) (tptp.aa_Pro6970504127699319548nt_int G (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Y3)))) (= (tptp.produc4245557441103728435nt_int F) G))))
% 16.70/16.91 (assume a5007 (forall ((F tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_du F)) F)))
% 16.70/16.91 (assume a5008 (forall ((F tptp.fun_Pr2602117396471556196at_nat)) (= (tptp.produc6842872674320459806at_nat (tptp.aTP_Lamm_dv F)) F)))
% 16.70/16.91 (assume a5009 (forall ((F tptp.fun_Pr2477239776880934807at_nat)) (= (tptp.produc4528391901023682385at_nat (tptp.aTP_Lamm_dw F)) F)))
% 16.70/16.91 (assume a5010 (forall ((F tptp.fun_Pr248683899324676269t_bool)) (= (tptp.produc5023667602222594023t_bool (tptp.aTP_Lamm_dx F)) F)))
% 16.70/16.91 (assume a5011 (forall ((F tptp.fun_Pr2478283820680522243nt_int)) (= (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_dy F)) F)))
% 16.70/16.91 (assume a5012 (forall ((Q tptp.fun_bool_bool) (P tptp.fun_nat_fun_nat_bool) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_bool_bool Q (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool P) Z))) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_bool_bool Q (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X4) Y3))))))))))
% 16.70/16.91 (assume a5013 (forall ((Q tptp.fun_nat_bool) (P tptp.fun_nat_fun_nat_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool Q (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat P) Z))) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_nat_bool Q (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat P X4) Y3))))))))))
% 16.70/16.91 (assume a5014 (forall ((Q tptp.fun_fu7919257609373989805t_bool) (P tptp.fun_na1668100129766719005at_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_fun4519828053337421206t_bool Q (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat P) Z))) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_fun4519828053337421206t_bool Q (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat P X4) Y3))))))))))
% 16.70/16.91 (assume a5015 (forall ((Q tptp.fun_fu5641360819561228055l_bool) (P tptp.fun_na4786964484885125043t_bool) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_fun8663595511526100224l_bool Q (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool P) Z))) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_fun8663595511526100224l_bool Q (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool P X4) Y3))))))))))
% 16.70/16.91 (assume a5016 (forall ((Q tptp.fun_Pr803113274115125473t_bool) (P tptp.fun_in1696471567231710611nt_int) (Z tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool Q (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int P) Z))) (not (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (= Z (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Y3)) (not (tptp.pp (tptp.aa_Pro4501881432599481050t_bool Q (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int P X4) Y3))))))))))
% 16.70/16.91 (assume a5017 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))))
% 16.70/16.91 (assume a5018 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))
% 16.70/16.91 (assume a5019 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 16.70/16.91 (assume a5020 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) B)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) B)))))
% 16.70/16.91 (assume a5021 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 16.70/16.91 (assume a5022 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.91 (assume a5023 (forall ((N tptp.nat) (K tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) tptp.zero_zero_int)))))
% 16.70/16.91 (assume a5024 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 16.70/16.91 (assume a5025 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.if_fun_int_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M) (tptp.bit_se2923211474154528505it_int N) (tptp.bit_ri631733984087533419it_int M)) A))))
% 16.70/16.91 (assume a5026 (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)))))))
% 16.70/16.91 (assume a5027 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 16.70/16.91 (assume a5028 (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)))))))
% 16.70/16.91 (assume a5029 (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)))))
% 16.70/16.91 (assume a5030 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)))))
% 16.70/16.91 (assume a5031 (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)))))
% 16.70/16.91 (assume a5032 (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))))))
% 16.70/16.91 (assume a5033 (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))))))
% 16.70/16.91 (assume a5034 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.70/16.91 (assume a5035 (forall ((N tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 16.70/16.91 (assume a5036 (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)))))))
% 16.70/16.91 (assume a5037 (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)))))))
% 16.70/16.91 (assume a5038 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 16.70/16.91 (assume a5039 (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)))))
% 16.70/16.91 (assume a5040 (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)))))
% 16.70/16.91 (assume a5041 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)))))
% 16.70/16.91 (assume a5042 (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))))
% 16.70/16.91 (assume a5043 (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))))
% 16.70/16.91 (assume a5044 (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))))
% 16.70/16.91 (assume a5045 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.uminus1351360451143612070nteger A) B) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a5046 (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))))
% 16.70/16.91 (assume a5047 (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))))
% 16.70/16.91 (assume a5048 (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))))
% 16.70/16.91 (assume a5049 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.uminus1351360451143612070nteger B)) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a5050 (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))))
% 16.70/16.91 (assume a5051 (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))))
% 16.70/16.91 (assume a5052 (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))))
% 16.70/16.91 (assume a5053 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= (tptp.uminus1351360451143612070nteger A) B))))
% 16.70/16.91 (assume a5054 (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)))
% 16.70/16.91 (assume a5055 (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)))
% 16.70/16.91 (assume a5056 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 16.70/16.91 (assume a5057 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.91 (assume a5058 (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)))))
% 16.70/16.91 (assume a5059 (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)))))
% 16.70/16.91 (assume a5060 (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)))))
% 16.70/16.91 (assume a5061 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= B (tptp.uminus1351360451143612070nteger A)))))
% 16.70/16.91 (assume a5062 (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)))))
% 16.70/16.91 (assume a5063 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5064 (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)))))
% 16.70/16.91 (assume a5065 (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)))
% 16.70/16.91 (assume a5066 (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a5067 (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)))
% 16.70/16.91 (assume a5068 (not (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 16.70/16.91 (assume a5069 (not (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a5070 (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 16.70/16.91 (assume a5071 (not (= tptp.zero_z3403309356797280102nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5072 (forall ((W tptp.num) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))
% 16.70/16.91 (assume a5073 (forall ((W tptp.num) (X tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 16.70/16.91 (assume a5074 (forall ((W tptp.num) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 16.70/16.91 (assume a5075 (forall ((W tptp.num) (X tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger W)) (tptp.uminus1351360451143612070nteger X)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger X) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))))))
% 16.70/16.91 (assume a5076 (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)))))
% 16.70/16.91 (assume a5077 (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)))))
% 16.70/16.91 (assume a5078 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5079 (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)))
% 16.70/16.91 (assume a5080 (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)))
% 16.70/16.91 (assume a5081 (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a5082 (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)))))
% 16.70/16.91 (assume a5083 (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)))))
% 16.70/16.91 (assume a5084 (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))))))
% 16.70/16.91 (assume a5085 (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))))))
% 16.70/16.91 (assume a5086 (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)))))
% 16.70/16.91 (assume a5087 (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)))))
% 16.70/16.91 (assume a5088 (forall ((N tptp.num)) (not (= (tptp.numera6690914467698888265omplex N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 16.70/16.91 (assume a5089 (forall ((N tptp.num)) (not (= (tptp.numera6620942414471956472nteger N) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5090 (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))))))
% 16.70/16.91 (assume a5091 (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))))))
% 16.70/16.91 (assume a5092 (forall ((N tptp.num)) (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.70/16.91 (assume a5093 (forall ((N tptp.num)) (not (= tptp.one_one_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 16.70/16.91 (assume a5094 (forall ((X tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X) tptp.one_one_real) (or (= X tptp.one_one_real) (= X (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.70/16.91 (assume a5095 (forall ((X tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X) tptp.one_one_int) (or (= X tptp.one_one_int) (= X (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.70/16.91 (assume a5096 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex X) X) tptp.one_one_complex) (or (= X tptp.one_one_complex) (= X (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 16.70/16.91 (assume a5097 (forall ((X tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger X) X) tptp.one_one_Code_integer) (or (= X tptp.one_one_Code_integer) (= X (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5098 (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))))))
% 16.70/16.91 (assume a5099 (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))))))
% 16.70/16.91 (assume a5100 (forall ((B2 tptp.complex) (K tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= B2 (tptp.aa_complex_complex (tptp.plus_plus_complex K) B)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))))
% 16.70/16.91 (assume a5101 (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.uminus1351360451143612070nteger K) (tptp.minus_8373710615458151222nteger A B))))))
% 16.70/16.91 (assume a5102 (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)))))
% 16.70/16.91 (assume a5103 (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)))))
% 16.70/16.91 (assume a5104 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.70/16.91 (assume a5105 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.uminus1351360451143612070nteger B)))))
% 16.70/16.91 (assume a5106 (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)))))
% 16.70/16.91 (assume a5107 (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)))))
% 16.70/16.91 (assume a5108 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.70/16.91 (assume a5109 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.uminus1351360451143612070nteger B)))))
% 16.70/16.91 (assume a5110 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.70/16.91 (assume a5111 (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)))))))
% 16.70/16.91 (assume a5112 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.70/16.91 (assume a5113 (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)))))))
% 16.70/16.91 (assume a5114 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.70/16.91 (assume a5115 (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)))))))
% 16.70/16.91 (assume a5116 (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))))))
% 16.70/16.91 (assume a5117 (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))))))
% 16.70/16.91 (assume a5118 (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) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))))))
% 16.70/16.91 (assume a5119 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger A (tptp.uminus1351360451143612070nteger B)) (tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.91 (assume a5120 (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))))))
% 16.70/16.91 (assume a5121 (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))))))
% 16.70/16.91 (assume a5122 (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 (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))))))
% 16.70/16.91 (assume a5123 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer B) A)) (= (tptp.divide6298287555418463151nteger (tptp.uminus1351360451143612070nteger A) B) (tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B))))))
% 16.70/16.91 (assume a5124 (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))))
% 16.70/16.91 (assume a5125 (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))))
% 16.70/16.91 (assume a5126 (forall ((A2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.uminus5710092332889474511et_nat A2))) (= A2 tptp.bot_bot_set_nat))))
% 16.70/16.91 (assume a5127 (forall ((U tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) U))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)))))
% 16.70/16.91 (assume a5128 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.uminus_uminus_real Y)))))
% 16.70/16.91 (assume a5129 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5130 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X))) (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 16.70/16.91 (assume a5131 (forall ((X tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X) tptp.one) X)))
% 16.70/16.91 (assume a5132 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))
% 16.70/16.91 (assume a5133 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 16.70/16.91 (assume a5134 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a5135 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.91 (assume a5136 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.91 (assume a5137 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) A)))))
% 16.70/16.91 (assume a5138 (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))))
% 16.70/16.91 (assume a5139 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a5140 (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))))
% 16.70/16.91 (assume a5141 (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)))))))
% 16.70/16.91 (assume a5142 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 16.70/16.91 (assume a5143 (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)))))))
% 16.70/16.91 (assume a5144 (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)))))))
% 16.70/16.91 (assume a5145 (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)))))))
% 16.70/16.91 (assume a5146 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 16.70/16.91 (assume a5147 (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))))
% 16.70/16.91 (assume a5148 (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))))
% 16.70/16.91 (assume a5149 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a5150 (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)))
% 16.70/16.91 (assume a5151 (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.91 (assume a5152 (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)))
% 16.70/16.91 (assume a5153 (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)))))
% 16.70/16.91 (assume a5154 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5155 (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)))))
% 16.70/16.91 (assume a5156 (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)))
% 16.70/16.91 (assume a5157 (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)))
% 16.70/16.91 (assume a5158 (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 16.70/16.91 (assume a5159 (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)))))
% 16.70/16.91 (assume a5160 (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)))))
% 16.70/16.91 (assume a5161 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5162 (forall ((N tptp.nat) (K tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) tptp.one_one_int)))))
% 16.70/16.91 (assume a5163 (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))))
% 16.70/16.91 (assume a5164 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5165 (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))))
% 16.70/16.91 (assume a5166 (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)))))
% 16.70/16.91 (assume a5167 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger M)))))
% 16.70/16.91 (assume a5168 (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)))))
% 16.70/16.91 (assume a5169 (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)))))
% 16.70/16.91 (assume a5170 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.70/16.91 (assume a5171 (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)))))
% 16.70/16.91 (assume a5172 (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))))))
% 16.70/16.91 (assume a5173 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5174 (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))))))
% 16.70/16.91 (assume a5175 (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)))))))
% 16.70/16.91 (assume a5176 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 16.70/16.91 (assume a5177 (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)))))))
% 16.70/16.91 (assume a5178 (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)))))))
% 16.70/16.91 (assume a5179 (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)))))))
% 16.70/16.91 (assume a5180 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 16.70/16.91 (assume a5181 (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)))))))
% 16.70/16.91 (assume a5182 (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)))))))
% 16.70/16.91 (assume a5183 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 16.70/16.91 (assume a5184 (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))))))
% 16.70/16.91 (assume a5185 (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))))))
% 16.70/16.91 (assume a5186 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5187 (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)))))
% 16.70/16.91 (assume a5188 (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)))))
% 16.70/16.91 (assume a5189 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger M)))))
% 16.70/16.91 (assume a5190 (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))))
% 16.70/16.91 (assume a5191 (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))))
% 16.70/16.91 (assume a5192 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5193 (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))))))
% 16.70/16.91 (assume a5194 (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))))))
% 16.70/16.91 (assume a5195 (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))))))
% 16.70/16.91 (assume a5196 (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))))))
% 16.70/16.91 (assume a5197 (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))))))
% 16.70/16.91 (assume a5198 (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))))))
% 16.70/16.91 (assume a5199 (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))))))
% 16.70/16.91 (assume a5200 (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))))))
% 16.70/16.91 (assume a5201 (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))))
% 16.70/16.91 (assume a5202 (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))))
% 16.70/16.91 (assume a5203 (forall ((B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))
% 16.70/16.91 (assume a5204 (forall ((B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one))) B) (tptp.uminus1351360451143612070nteger B))))
% 16.70/16.91 (assume a5205 (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))))
% 16.70/16.91 (assume a5206 (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))))
% 16.70/16.91 (assume a5207 (forall ((B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))
% 16.70/16.91 (assume a5208 (forall ((B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger B) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one))) (tptp.uminus1351360451143612070nteger B))))
% 16.70/16.91 (assume a5209 (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))))))
% 16.70/16.91 (assume a5210 (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))))))
% 16.70/16.91 (assume a5211 (= (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)))
% 16.70/16.91 (assume a5212 (= (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)))
% 16.70/16.91 (assume a5213 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.70/16.91 (assume a5214 (= (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a5215 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.91 (assume a5216 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.91 (assume a5217 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.91 (assume a5218 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.70/16.91 (assume a5219 (forall ((X tptp.real) (K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 16.70/16.91 (assume a5220 (forall ((X tptp.int) (K tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 16.70/16.91 (assume a5221 (forall ((X tptp.complex) (K tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 16.70/16.91 (assume a5222 (forall ((X tptp.code_integer) (K tptp.num)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 16.70/16.91 (assume a5223 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5224 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int))))
% 16.70/16.91 (assume a5225 (forall ((K tptp.num)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_num_nat tptp.numeral_numeral_nat K) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5226 (forall ((K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) tptp.one_one_int))))
% 16.70/16.91 (assume a5227 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)))))
% 16.70/16.91 (assume a5228 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 16.70/16.91 (assume a5229 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)))))
% 16.70/16.91 (assume a5230 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 16.70/16.91 (assume a5231 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 16.70/16.91 (assume a5232 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))))
% 16.70/16.91 (assume a5233 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 16.70/16.91 (assume a5234 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (= X tptp.one_one_real)))))
% 16.70/16.91 (assume a5235 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 16.70/16.91 (assume a5236 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K))))))
% 16.70/16.91 (assume a5237 (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)))))))
% 16.70/16.91 (assume a5238 (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)))))))
% 16.70/16.91 (assume a5239 (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)))))))
% 16.70/16.91 (assume a5240 (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)))))))
% 16.70/16.91 (assume a5241 (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)))))))))
% 16.70/16.91 (assume a5242 (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)))))))))
% 16.70/16.91 (assume a5243 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real 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 W))) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a5244 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) (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 W))) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 16.70/16.91 (assume a5245 (forall ((B tptp.real) (C tptp.real) (W 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 W))) (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 W))) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a5246 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 16.70/16.91 (assume a5247 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z))) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 16.70/16.91 (assume a5248 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.70/16.91 (assume a5249 (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))))))
% 16.70/16.91 (assume a5250 (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))))))
% 16.70/16.91 (assume a5251 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z))) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 16.70/16.91 (assume a5252 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.70/16.91 (assume a5253 (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))))))
% 16.70/16.91 (assume a5254 (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))))))
% 16.70/16.91 (assume a5255 (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))))))
% 16.70/16.91 (assume a5256 (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))))))
% 16.70/16.91 (assume a5257 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.91 (assume a5258 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.70/16.91 (assume a5259 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_real_real tptp.uminus_uminus_real Y))))))
% 16.70/16.91 (assume a5260 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_int_int tptp.uminus_uminus_int Y))))))
% 16.70/16.91 (assume a5261 (forall ((X tptp.complex) (Y tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Y))))))
% 16.70/16.91 (assume a5262 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) (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)))) (or (= X Y) (= X (tptp.uminus1351360451143612070nteger Y))))))
% 16.70/16.91 (assume a5263 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5264 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5265 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (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)))))
% 16.70/16.91 (assume a5266 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5267 (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))))))
% 16.70/16.91 (assume a5268 (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)))))
% 16.70/16.91 (assume a5269 (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))))
% 16.70/16.91 (assume a5270 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real))))))
% 16.70/16.91 (assume a5271 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5272 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) Y)))))))
% 16.70/16.91 (assume a5273 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5274 (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)))))))
% 16.70/16.91 (assume a5275 (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)))))))
% 16.70/16.91 (assume a5276 (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)))))))
% 16.70/16.91 (assume a5277 (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)))))))
% 16.70/16.91 (assume a5278 (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)))))))))
% 16.70/16.91 (assume a5279 (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)))))))))
% 16.70/16.91 (assume a5280 (forall ((W 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 W))) (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 W))) 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 W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 16.70/16.91 (assume a5281 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real 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 W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) 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 W)))))))))))
% 16.70/16.91 (assume a5282 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.modulo_modulo_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5283 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (or (= A tptp.one_one_real) (= A (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.70/16.91 (assume a5284 (forall ((A tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (or (= A tptp.one_one_int) (= A (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.70/16.91 (assume a5285 (forall ((A tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (or (= A tptp.one_one_complex) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 16.70/16.91 (assume a5286 (forall ((A tptp.code_integer)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (or (= A tptp.one_one_Code_integer) (= A (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5287 (forall ((N tptp.nat) (A tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 16.70/16.91 (assume a5288 (forall ((N tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.70/16.91 (assume a5289 (forall ((N tptp.nat) (A tptp.complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))))
% 16.70/16.91 (assume a5290 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N) (tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))))
% 16.70/16.91 (assume a5291 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 16.70/16.91 (assume a5292 (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))))))
% 16.70/16.91 (assume a5293 (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))))))
% 16.70/16.91 (assume a5294 (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.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.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 16.70/16.91 (assume a5295 (forall ((U tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a5296 (= (tptp.aa_num_nat tptp.size_num tptp.one) tptp.zero_zero_nat))
% 16.70/16.91 (assume a5297 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X))))))))
% 16.70/16.91 (assume a5298 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)))))
% 16.70/16.91 (assume a5299 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)))))
% 16.70/16.91 (assume a5300 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.70/16.91 (assume a5301 (forall ((N tptp.nat) (A tptp.code_integer)) (= (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_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)))))
% 16.70/16.91 (assume a5302 (forall ((N tptp.nat) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 16.70/16.91 (assume a5303 (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)))))
% 16.70/16.91 (assume a5304 (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)))))
% 16.70/16.91 (assume a5305 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)))))
% 16.70/16.91 (assume a5306 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.91 (assume a5307 (forall ((W 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 W))) (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 W))) 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 W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 16.70/16.91 (assume a5308 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real 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 W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) 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 W)))))))))))
% 16.70/16.91 (assume a5309 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 16.70/16.91 (assume a5310 (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger X) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5311 (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))))
% 16.70/16.91 (assume a5312 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5313 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5314 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5315 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5316 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.70/16.91 (assume a5317 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.70/16.91 (assume a5318 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 16.70/16.91 (assume a5319 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) tptp.one_one_Code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a5320 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) K) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.70/16.91 (assume a5321 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) K)))))
% 16.70/16.91 (assume a5322 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a5323 (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))))))
% 16.70/16.91 (assume a5324 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) K) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.70/16.91 (assume a5325 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) K)))))
% 16.70/16.91 (assume a5326 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a5327 (forall ((N tptp.nat) (K tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 16.70/16.91 (assume a5328 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 16.70/16.91 (assume a5329 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a5330 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 16.70/16.91 (assume a5331 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5332 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.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)))))))
% 16.70/16.91 (assume a5333 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.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)))))))
% 16.70/16.91 (assume a5334 (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)))))))
% 16.70/16.91 (assume a5335 (forall ((P tptp.fun_int_bool) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (forall ((K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K2)) (=> (not (= K2 tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (=> (forall ((K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K2)) (=> (not (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (tptp.pp (tptp.aa_int_bool P K))))))))
% 16.70/16.91 (assume a5336 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.91 (assume a5337 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 16.70/16.91 (assume a5338 (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.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.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)))))))
% 16.70/16.91 (assume a5339 (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.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))))))
% 16.70/16.91 (assume a5340 (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)))))))
% 16.70/16.91 (assume a5341 (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_dr L)) Qr))))
% 16.70/16.91 (assume a5342 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))))))))
% 16.70/16.91 (assume a5343 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))))))
% 16.70/16.91 (assume a5344 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) Qr) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_ds L)) Qr))))
% 16.70/16.91 (assume a5345 (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)))
% 16.70/16.91 (assume a5346 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.91 (assume a5347 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 16.70/16.91 (assume a5348 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_dz) (tptp.unique5055182867167087721od_nat M N)))))
% 16.70/16.91 (assume a5349 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_ea) (tptp.unique5052692396658037445od_int M N)))))
% 16.70/16.91 (assume a5350 (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_eb) (tptp.divmod_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) N)))))))
% 16.70/16.91 (assume a5351 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5352 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a5353 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (= M N))))
% 16.70/16.91 (assume a5354 (forall ((F tptp.fun_Co3748208068438171869l_bool) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_Cod8494480694608518558l_bool F A) B)) (tptp.pp (tptp.aa_Pro6456355659118895914l_bool (tptp.produc2506095642196730057l_bool F) (tptp.produc5135875973608410785r_bool A B))))))
% 16.70/16.91 (assume a5355 (forall ((F tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool F A) B)) (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool F) (tptp.product_Pair_num_num A B))))))
% 16.70/16.91 (assume a5356 (forall ((F tptp.fun_nat_fun_num_bool) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool F A) B)) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool F) (tptp.product_Pair_nat_num A B))))))
% 16.70/16.91 (assume a5357 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool F A) B)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))))))
% 16.70/16.91 (assume a5358 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))))))
% 16.70/16.91 (assume a5359 (forall ((P2 tptp.produc7417142470700560111r_bool) (C tptp.fun_Co3748208068438171869l_bool)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool A3 B3)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_Cod8494480694608518558l_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro6456355659118895914l_bool (tptp.produc2506095642196730057l_bool C) P2)))))
% 16.70/16.91 (assume a5360 (forall ((P2 tptp.product_prod_num_num) (C tptp.fun_num_fun_num_bool)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool C) P2)))))
% 16.70/16.91 (assume a5361 (forall ((P2 tptp.product_prod_nat_num) (C tptp.fun_nat_fun_num_bool)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool C) P2)))))
% 16.70/16.91 (assume a5362 (forall ((P2 tptp.product_prod_int_int) (C tptp.fun_int_fun_int_bool)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool C) P2)))))
% 16.70/16.91 (assume a5363 (forall ((P2 tptp.product_prod_nat_nat) (C tptp.fun_nat_fun_nat_bool)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool C) P2)))))
% 16.70/16.91 (assume a5364 (forall ((Z tptp.nat) (C tptp.fun_Co3833597871255845228et_nat) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_bool_set_nat (tptp.aa_Cod5518294568803216341et_nat C A) B))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc9066999194162305620et_nat C (tptp.produc5135875973608410785r_bool A B)))))))
% 16.70/16.91 (assume a5365 (forall ((Z tptp.real) (C tptp.fun_Co2315910201472382152t_real) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_bool_set_real (tptp.aa_Cod7081859000793828145t_real C A) B))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc4532933866054709936t_real C (tptp.produc5135875973608410785r_bool A B)))))))
% 16.70/16.91 (assume a5366 (forall ((Z tptp.int) (C tptp.fun_Co8243421489322702280et_int) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_bool_set_int (tptp.aa_Cod3028211423871489585et_int C A) B))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc4889148174653108912et_int C (tptp.produc5135875973608410785r_bool A B)))))))
% 16.70/16.91 (assume a5367 (forall ((Z tptp.complex) (C tptp.fun_Co3393511490457469770omplex) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_bool_set_complex (tptp.aa_Cod7104299617959582899omplex C A) B))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc4797875024747972146omplex C (tptp.produc5135875973608410785r_bool A B)))))))
% 16.70/16.91 (assume a5368 (forall ((Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C A) B))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C (tptp.product_Pair_num_num A B)))))))
% 16.70/16.91 (assume a5369 (forall ((Z tptp.real) (C tptp.fun_nu4698968662094489488t_real) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C A) B))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C (tptp.product_Pair_num_num A B)))))))
% 16.70/16.91 (assume a5370 (forall ((Z tptp.int) (C tptp.fun_nu4940571614878387344et_int) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C A) B))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C (tptp.product_Pair_num_num A B)))))))
% 16.70/16.91 (assume a5371 (forall ((Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C A) B))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C (tptp.product_Pair_num_num A B)))))))
% 16.70/16.91 (assume a5372 (forall ((Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C A) B))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C (tptp.product_Pair_nat_num A B)))))))
% 16.70/16.91 (assume a5373 (forall ((Z tptp.real) (C tptp.fun_na3666575854997362246t_real) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C A) B))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C (tptp.product_Pair_nat_num A B)))))))
% 16.70/16.91 (assume a5374 (forall ((P2 tptp.produc7417142470700560111r_bool) (Z tptp.nat) (C tptp.fun_Co3833597871255845228et_nat)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool A3 B3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_bool_set_nat (tptp.aa_Cod5518294568803216341et_nat C A3) B3))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc9066999194162305620et_nat C P2))))))
% 16.70/16.91 (assume a5375 (forall ((P2 tptp.produc7417142470700560111r_bool) (Z tptp.real) (C tptp.fun_Co2315910201472382152t_real)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool A3 B3)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_bool_set_real (tptp.aa_Cod7081859000793828145t_real C A3) B3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc4532933866054709936t_real C P2))))))
% 16.70/16.91 (assume a5376 (forall ((P2 tptp.produc7417142470700560111r_bool) (Z tptp.int) (C tptp.fun_Co8243421489322702280et_int)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool A3 B3)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_bool_set_int (tptp.aa_Cod3028211423871489585et_int C A3) B3))))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc4889148174653108912et_int C P2))))))
% 16.70/16.91 (assume a5377 (forall ((P2 tptp.produc7417142470700560111r_bool) (Z tptp.complex) (C tptp.fun_Co3393511490457469770omplex)) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool A3 B3)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_bool_set_complex (tptp.aa_Cod7104299617959582899omplex C A3) B3))))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc4797875024747972146omplex C P2))))))
% 16.70/16.91 (assume a5378 (forall ((P2 tptp.product_prod_num_num) (Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C A3) B3))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C P2))))))
% 16.70/16.91 (assume a5379 (forall ((P2 tptp.product_prod_num_num) (Z tptp.real) (C tptp.fun_nu4698968662094489488t_real)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C A3) B3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C P2))))))
% 16.70/16.91 (assume a5380 (forall ((P2 tptp.product_prod_num_num) (Z tptp.int) (C tptp.fun_nu4940571614878387344et_int)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C A3) B3))))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C P2))))))
% 16.70/16.91 (assume a5381 (forall ((P2 tptp.product_prod_num_num) (Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C A3) B3))))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C P2))))))
% 16.70/16.91 (assume a5382 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C A3) B3))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C P2))))))
% 16.70/16.91 (assume a5383 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.real) (C tptp.fun_na3666575854997362246t_real)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C A3) B3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C P2))))))
% 16.70/16.91 (assume a5384 (forall ((P2 tptp.product_prod_nat_nat) (C tptp.fun_na4786964484885125043t_bool) (X tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3) P2) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool C A3) B3) X)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool C) P2) X)))))
% 16.70/16.91 (assume a5385 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)))))
% 16.70/16.91 (assume a5386 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)))))
% 16.70/16.91 (assume a5387 (forall ((M tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M) tptp.one))))
% 16.70/16.91 (assume a5388 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 N)))))
% 16.70/16.91 (assume a5389 (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))))
% 16.70/16.91 (assume a5390 (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))))
% 16.70/16.91 (assume a5391 (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))))
% 16.70/16.91 (assume a5392 (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))))
% 16.70/16.91 (assume a5393 (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)))))
% 16.70/16.91 (assume a5394 (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)))))
% 16.70/16.91 (assume a5395 (= (tptp.aa_complex_complex tptp.abs_abs_complex tptp.one_one_complex) tptp.one_one_complex))
% 16.70/16.91 (assume a5396 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.91 (assume a5397 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 16.70/16.91 (assume a5398 (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)))))
% 16.70/16.91 (assume a5399 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.abs_abs_complex A)) (tptp.aa_complex_complex tptp.abs_abs_complex B)))))
% 16.70/16.91 (assume a5400 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.91 (assume a5401 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.91 (assume a5402 (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)))))
% 16.70/16.91 (assume a5403 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 16.70/16.91 (assume a5404 (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))))
% 16.70/16.91 (assume a5405 (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))))
% 16.70/16.91 (assume a5406 (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)))))
% 16.70/16.91 (assume a5407 (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)))))
% 16.70/16.91 (assume a5408 (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))))
% 16.70/16.91 (assume a5409 (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))))
% 16.70/16.91 (assume a5410 (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)))))
% 16.70/16.91 (assume a5411 (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)))))
% 16.70/16.91 (assume a5412 (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))))
% 16.70/16.91 (assume a5413 (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))))
% 16.70/16.91 (assume a5414 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger N))))
% 16.70/16.91 (assume a5415 (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 16.70/16.91 (assume a5416 (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 16.70/16.91 (assume a5417 (= (tptp.abs_abs_Code_integer (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 16.70/16.91 (assume a5418 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.91 (assume a5419 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.91 (assume a5420 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger A)) N)) (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.70/16.91 (assume a5421 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a5422 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)))))
% 16.70/16.91 (assume a5423 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) (tptp.aa_num_num tptp.bit1 N))))))
% 16.70/16.91 (assume a5424 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) N)))))
% 16.70/16.91 (assume a5425 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 16.70/16.91 (assume a5426 (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)))))
% 16.70/16.91 (assume a5427 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M)) tptp.one)))))
% 16.70/16.91 (assume a5428 (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)))))
% 16.70/16.91 (assume a5429 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tanh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5430 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5431 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tanh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5432 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tanh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5433 (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)))))
% 16.70/16.91 (assume a5434 (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)))))
% 16.70/16.91 (assume a5435 (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)))))
% 16.70/16.91 (assume a5436 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.uminus1351360451143612070nteger A)))))
% 16.70/16.91 (assume a5437 (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)))))
% 16.70/16.91 (assume a5438 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 16.70/16.91 (assume a5439 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)) tptp.one)))))
% 16.70/16.91 (assume a5440 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) tptp.one)))))
% 16.70/16.91 (assume a5441 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) (tptp.aa_num_num tptp.bit1 M))))
% 16.70/16.91 (assume a5442 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.70/16.91 (assume a5443 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 N))))
% 16.70/16.91 (assume a5444 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.artanh_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.artanh_real X))))))
% 16.70/16.91 (assume a5445 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M) N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M) N)))))))
% 16.70/16.91 (assume a5446 (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)))))
% 16.70/16.91 (assume a5447 (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)))))
% 16.70/16.91 (assume a5448 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))) (or (not (= A tptp.zero_zero_real)) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a5449 (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)))))
% 16.70/16.91 (assume a5450 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5451 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5452 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5453 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5454 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N))) (tptp.unique5706413561485394159nteger (tptp.unique3479559517661332726nteger N M)))))
% 16.70/16.91 (assume a5455 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.unique5055182867167087721od_nat N M))))))
% 16.70/16.91 (assume a5456 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool tptp.unique6319869463603278526ux_int (tptp.unique5052692396658037445od_int N M))))))
% 16.70/16.91 (assume a5457 (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))))
% 16.70/16.91 (assume a5458 (forall ((M tptp.num)) (= (tptp.unique5052692396658037445od_int M tptp.one) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.zero_zero_int))))
% 16.70/16.91 (assume a5459 (forall ((W tptp.num) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5460 (forall ((W tptp.num) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5461 (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)))))
% 16.70/16.91 (assume a5462 (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)))))
% 16.70/16.91 (assume a5463 (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)))))
% 16.70/16.91 (assume a5464 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 16.70/16.91 (assume a5465 (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)))))
% 16.70/16.91 (assume a5466 (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)))))
% 16.70/16.91 (assume a5467 (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)))))
% 16.70/16.91 (assume a5468 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 16.70/16.91 (assume a5469 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5470 (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)))))))))
% 16.70/16.91 (assume a5471 (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.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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.aa_Pro6970504127699319548nt_int (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)))))))))
% 16.70/16.91 (assume a5472 (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)))))))))
% 16.70/16.91 (assume a5473 (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)))))))))
% 16.70/16.91 (assume a5474 (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.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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.aa_Pro6970504127699319548nt_int (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)))))))))
% 16.70/16.91 (assume a5475 (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)))))))))
% 16.70/16.91 (assume a5476 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5477 (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_ec) (tptp.unique5055182867167087721od_nat M N)))))
% 16.70/16.91 (assume a5478 (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.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_ed) (tptp.unique5052692396658037445od_int M N)))))
% 16.70/16.91 (assume a5479 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)))))
% 16.70/16.91 (assume a5480 (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)))))
% 16.70/16.91 (assume a5481 (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)))))
% 16.70/16.91 (assume a5482 (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)))))
% 16.70/16.91 (assume a5483 (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)))))
% 16.70/16.91 (assume a5484 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.abs_abs_complex A)) (tptp.aa_complex_complex tptp.abs_abs_complex B)))))
% 16.70/16.91 (assume a5485 (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)))))
% 16.70/16.91 (assume a5486 (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)))))
% 16.70/16.91 (assume a5487 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.91 (assume a5488 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 16.70/16.91 (assume a5489 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))))
% 16.70/16.91 (assume a5490 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N))))
% 16.70/16.91 (assume a5491 (forall ((Z tptp.nat) (C tptp.fun_Co3833597871255845228et_nat) (P2 tptp.produc7417142470700560111r_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc9066999194162305620et_nat C P2))) (not (forall ((X4 tptp.code_integer) (Y3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_bool_set_nat (tptp.aa_Cod5518294568803216341et_nat C X4) Y3))))))))))
% 16.70/16.91 (assume a5492 (forall ((Z tptp.real) (C tptp.fun_Co2315910201472382152t_real) (P2 tptp.produc7417142470700560111r_bool)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc4532933866054709936t_real C P2))) (not (forall ((X4 tptp.code_integer) (Y3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_bool_set_real (tptp.aa_Cod7081859000793828145t_real C X4) Y3))))))))))
% 16.70/16.91 (assume a5493 (forall ((Z tptp.int) (C tptp.fun_Co8243421489322702280et_int) (P2 tptp.produc7417142470700560111r_bool)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc4889148174653108912et_int C P2))) (not (forall ((X4 tptp.code_integer) (Y3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_bool_set_int (tptp.aa_Cod3028211423871489585et_int C X4) Y3))))))))))
% 16.70/16.91 (assume a5494 (forall ((Z tptp.complex) (C tptp.fun_Co3393511490457469770omplex) (P2 tptp.produc7417142470700560111r_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc4797875024747972146omplex C P2))) (not (forall ((X4 tptp.code_integer) (Y3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_bool_set_complex (tptp.aa_Cod7104299617959582899omplex C X4) Y3))))))))))
% 16.70/16.91 (assume a5495 (forall ((Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C P2))) (not (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X4 Y3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C X4) Y3))))))))))
% 16.70/16.91 (assume a5496 (forall ((Z tptp.real) (C tptp.fun_nu4698968662094489488t_real) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C P2))) (not (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X4 Y3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C X4) Y3))))))))))
% 16.70/16.91 (assume a5497 (forall ((Z tptp.int) (C tptp.fun_nu4940571614878387344et_int) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C P2))) (not (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X4 Y3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C X4) Y3))))))))))
% 16.70/16.91 (assume a5498 (forall ((Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C P2))) (not (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X4 Y3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C X4) Y3))))))))))
% 16.70/16.91 (assume a5499 (forall ((Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C P2))) (not (forall ((X4 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X4 Y3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C X4) Y3))))))))))
% 16.70/16.91 (assume a5500 (forall ((Z tptp.real) (C tptp.fun_na3666575854997362246t_real) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C P2))) (not (forall ((X4 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X4 Y3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C X4) Y3))))))))))
% 16.70/16.91 (assume a5501 (forall ((X22 tptp.num) (X32 tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit1 X32)))))
% 16.70/16.91 (assume a5502 (forall ((X32 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 X32)))))
% 16.70/16.91 (assume a5503 (forall ((F tptp.fun_Co3748208068438171869l_bool) (A tptp.code_integer) (B tptp.bool)) (=> (tptp.pp (tptp.aa_Pro6456355659118895914l_bool (tptp.produc2506095642196730057l_bool F) (tptp.produc5135875973608410785r_bool A B))) (tptp.pp (tptp.aa_bool_bool (tptp.aa_Cod8494480694608518558l_bool F A) B)))))
% 16.70/16.91 (assume a5504 (forall ((F tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool F) (tptp.product_Pair_num_num A B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool F A) B)))))
% 16.70/16.91 (assume a5505 (forall ((F tptp.fun_nat_fun_num_bool) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool F) (tptp.product_Pair_nat_num A B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool F A) B)))))
% 16.70/16.91 (assume a5506 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool F A) B)))))
% 16.70/16.91 (assume a5507 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)))))
% 16.70/16.91 (assume a5508 (forall ((C tptp.fun_Co3748208068438171869l_bool) (P2 tptp.produc7417142470700560111r_bool)) (=> (tptp.pp (tptp.aa_Pro6456355659118895914l_bool (tptp.produc2506095642196730057l_bool C) P2)) (not (forall ((X4 tptp.code_integer) (Y3 tptp.bool)) (=> (= P2 (tptp.produc5135875973608410785r_bool X4 Y3)) (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_Cod8494480694608518558l_bool C X4) Y3)))))))))
% 16.70/16.91 (assume a5509 (forall ((C tptp.fun_num_fun_num_bool) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool C) P2)) (not (forall ((X4 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X4 Y3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool C X4) Y3)))))))))
% 16.70/16.91 (assume a5510 (forall ((C tptp.fun_nat_fun_num_bool) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool C) P2)) (not (forall ((X4 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X4 Y3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool C X4) Y3)))))))))
% 16.70/16.91 (assume a5511 (forall ((C tptp.fun_int_fun_int_bool) (P2 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool C) P2)) (not (forall ((X4 tptp.int) (Y3 tptp.int)) (=> (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Y3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool C X4) Y3)))))))))
% 16.70/16.91 (assume a5512 (forall ((C tptp.fun_nat_fun_nat_bool) (P2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool C) P2)) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool C X4) Y3)))))))))
% 16.70/16.91 (assume a5513 (forall ((R2 tptp.fun_na4786964484885125043t_bool) (A tptp.nat) (B tptp.nat) (C tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool R2) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) C)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool R2 A) B) C)))))
% 16.70/16.91 (assume a5514 (forall ((C tptp.fun_na4786964484885125043t_bool) (P2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool C) P2) Z)) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool C X4) Y3) Z)))))))))
% 16.70/16.91 (assume a5515 (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)))))
% 16.70/16.91 (assume a5516 (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)))))
% 16.70/16.91 (assume a5517 (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)))))
% 16.70/16.91 (assume a5518 (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)))))
% 16.70/16.91 (assume a5519 (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))))
% 16.70/16.91 (assume a5520 (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))))
% 16.70/16.91 (assume a5521 (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))))))
% 16.70/16.91 (assume a5522 (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))))))
% 16.70/16.91 (assume a5523 (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)))))))
% 16.70/16.91 (assume a5524 (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)))))))
% 16.70/16.91 (assume a5525 (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))))))
% 16.70/16.91 (assume a5526 (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))))))
% 16.70/16.91 (assume a5527 (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))))))
% 16.70/16.91 (assume a5528 (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))))))
% 16.70/16.91 (assume a5529 (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))))))
% 16.70/16.91 (assume a5530 (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))))))
% 16.70/16.91 (assume a5531 (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))))))
% 16.70/16.91 (assume a5532 (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))))))
% 16.70/16.91 (assume a5533 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B))))))
% 16.70/16.91 (assume a5534 (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))))))
% 16.70/16.91 (assume a5535 (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)))))
% 16.70/16.91 (assume a5536 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) B)))))
% 16.70/16.91 (assume a5537 (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)))))
% 16.70/16.91 (assume a5538 (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))))))
% 16.70/16.91 (assume a5539 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) B))))))
% 16.70/16.91 (assume a5540 (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))))))
% 16.70/16.91 (assume a5541 (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)))))
% 16.70/16.91 (assume a5542 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A)))))
% 16.70/16.91 (assume a5543 (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)))))
% 16.70/16.91 (assume a5544 (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))))))
% 16.70/16.91 (assume a5545 (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))))))
% 16.70/16.91 (assume a5546 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.uminus1351360451143612070nteger A)) B))))))
% 16.70/16.91 (assume a5547 (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)))))
% 16.70/16.91 (assume a5548 (forall ((X tptp.product_prod_num_num)) (=> (not (= X (tptp.product_Pair_num_num tptp.one tptp.one))) (=> (forall ((N3 tptp.num)) (not (= X (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N3))))) (=> (forall ((N3 tptp.num)) (not (= X (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N3))))) (=> (forall ((M5 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M5) tptp.one)))) (=> (forall ((M5 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M5) (tptp.aa_num_num tptp.bit0 N3))))) (=> (forall ((M5 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M5) (tptp.aa_num_num tptp.bit1 N3))))) (=> (forall ((M5 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M5) tptp.one)))) (=> (forall ((M5 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M5) (tptp.aa_num_num tptp.bit0 N3))))) (not (forall ((M5 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M5) (tptp.aa_num_num tptp.bit1 N3))))))))))))))))
% 16.70/16.91 (assume a5549 (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)))))))))
% 16.70/16.91 (assume a5550 (forall ((X tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (= X Y) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real U)) V)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) U)) Y))) V))))))
% 16.70/16.91 (assume a5551 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) tptp.one_one_real))))
% 16.70/16.91 (assume a5552 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.tanh_real X)))))
% 16.70/16.91 (assume a5553 (forall ((X tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) E2)))) (= X tptp.zero_zero_real))))
% 16.70/16.91 (assume a5554 (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))))))
% 16.70/16.91 (assume a5555 (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))))))
% 16.70/16.91 (assume a5556 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real Y)) X) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X))))))
% 16.70/16.91 (assume a5557 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int Y)) X) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X))))))
% 16.70/16.91 (assume a5558 (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)))))))
% 16.70/16.91 (assume a5559 (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.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B)) (or (= A B) (= A (tptp.uminus1351360451143612070nteger B)))))))
% 16.70/16.91 (assume a5560 (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)))))))
% 16.70/16.91 (assume a5561 (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)))))))
% 16.70/16.91 (assume a5562 (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.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (or (= B A) (= B (tptp.uminus1351360451143612070nteger A)))))))
% 16.70/16.91 (assume a5563 (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)))))))
% 16.70/16.91 (assume a5564 (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))))
% 16.70/16.91 (assume a5565 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.uminus1351360451143612070nteger (tptp.abs_abs_Code_integer A))) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a5566 (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))))
% 16.70/16.91 (assume a5567 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)))))
% 16.70/16.91 (assume a5568 (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)))))
% 16.70/16.91 (assume a5569 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.abs_abs_real X)) Y) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y))))))
% 16.70/16.91 (assume a5570 (forall ((X2 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real X2) (tptp.aa_real_real tptp.uminus_uminus_real X2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) tptp.zero_zero_real))) (= (tptp.aa_real_real tptp.abs_abs_real X2) X2)))))
% 16.70/16.91 (assume a5571 (forall ((X2 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int X2) (tptp.aa_int_int tptp.uminus_uminus_int X2))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.abs_abs_int X2) X2)))))
% 16.70/16.91 (assume a5572 (forall ((X2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger X2) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer X2) (tptp.uminus1351360451143612070nteger X2))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger X2) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer X2) X2)))))
% 16.70/16.91 (assume a5573 (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)))))
% 16.70/16.91 (assume a5574 (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)))))
% 16.70/16.91 (assume a5575 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.uminus1351360451143612070nteger A)))))
% 16.70/16.91 (assume a5576 (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)))))
% 16.70/16.91 (assume a5577 (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)))))
% 16.70/16.91 (assume a5578 (forall ((A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.uminus1351360451143612070nteger A))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer A) A)))))
% 16.70/16.91 (assume a5579 (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)))))))
% 16.70/16.91 (assume a5580 (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)))))))
% 16.70/16.91 (assume a5581 (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))))))
% 16.70/16.91 (assume a5582 (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))))))
% 16.70/16.91 (assume a5583 (forall ((X tptp.real) (A tptp.real) (R tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A))) R)) (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) R)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R)))))))
% 16.70/16.91 (assume a5584 (forall ((X tptp.int) (A tptp.int) (R tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) A))) R)) (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) R)) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R)))))))
% 16.70/16.91 (assume a5585 (forall ((X tptp.real) (A tptp.real) (R tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A))) R)) (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) R)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R)))))))
% 16.70/16.91 (assume a5586 (forall ((X tptp.int) (A tptp.int) (R tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) A))) R)) (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) R)) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R)))))))
% 16.70/16.91 (assume a5587 (forall ((N tptp.num)) (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.91 (assume a5588 (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))))
% 16.70/16.91 (assume a5589 (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))))
% 16.70/16.91 (assume a5590 (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))))
% 16.70/16.91 (assume a5591 (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))))
% 16.70/16.91 (assume a5592 (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))))))
% 16.70/16.91 (assume a5593 (forall ((X tptp.real) (K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 16.70/16.91 (assume a5594 (forall ((X tptp.int) (K tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 16.70/16.91 (assume a5595 (forall ((X tptp.complex) (K tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 16.70/16.91 (assume a5596 (forall ((X tptp.code_integer) (K tptp.num)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 16.70/16.91 (assume a5597 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2))))))
% 16.70/16.91 (assume a5598 (forall ((M tptp.num) (Q2 tptp.num) (N 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.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 M)) (tptp.aa_num_int tptp.numeral_numeral_int 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))))))
% 16.70/16.91 (assume a5599 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.91 (assume a5600 (forall ((M tptp.num) (Q2 tptp.num) (N 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 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.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.91 (assume a5601 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 16.70/16.91 (assume a5602 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.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)))))))
% 16.70/16.91 (assume a5603 (forall ((A tptp.real) (X tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((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 X) Y2))) D2)) (and (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)))))))))))
% 16.70/16.91 (assume a5604 (forall ((N tptp.num)) (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.91 (assume a5605 (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))))
% 16.70/16.91 (assume a5606 (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))))
% 16.70/16.91 (assume a5607 (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))))
% 16.70/16.91 (assume a5608 (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))))
% 16.70/16.91 (assume a5609 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5610 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5611 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5612 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a5613 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.abs_abs_real X))))))
% 16.70/16.91 (assume a5614 (forall ((X tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int tptp.abs_abs_int X))))))
% 16.70/16.91 (assume a5615 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 16.70/16.91 (assume a5616 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.70/16.91 (assume a5617 (forall ((N tptp.num)) (= (tptp.divide6298287555418463151nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger N))))
% 16.70/16.91 (assume a5618 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)))))))
% 16.70/16.91 (assume a5619 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)))))))
% 16.70/16.91 (assume a5620 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))))))
% 16.70/16.91 (assume a5621 (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))))
% 16.70/16.91 (assume a5622 (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))))
% 16.70/16.91 (assume a5623 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex A) A)) A))))
% 16.70/16.91 (assume a5624 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A)) A))))
% 16.70/16.91 (assume a5625 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A)) A))))
% 16.70/16.91 (assume a5626 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)) A))))
% 16.70/16.91 (assume a5627 (= (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)))))
% 16.70/16.91 (assume a5628 (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))))
% 16.70/16.91 (assume a5629 (forall ((A tptp.real) (X tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((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 X) Y2))) D2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) B)))))))))))
% 16.70/16.91 (assume a5630 (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))))))
% 16.70/16.91 (assume a5631 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a5632 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) (tptp.aa_int_int tptp.abs_abs_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a5633 (forall ((X tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.abs_abs_real X) tptp.one_one_real))))
% 16.70/16.91 (assume a5634 (forall ((X tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (= (tptp.aa_int_int tptp.abs_abs_int X) tptp.one_one_int))))
% 16.70/16.91 (assume a5635 (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)))))
% 16.70/16.91 (assume a5636 (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)))))
% 16.70/16.91 (assume a5637 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.91 (assume a5638 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.70/16.91 (assume a5639 (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))))
% 16.70/16.91 (assume a5640 (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))))
% 16.70/16.91 (assume a5641 (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))))
% 16.70/16.91 (assume a5642 (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))))
% 16.70/16.91 (assume a5643 (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))))
% 16.70/16.91 (assume a5644 (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))))
% 16.70/16.91 (assume a5645 (forall ((P tptp.fun_re1255401033344146673l_bool) (X 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.aa_real_fun_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 X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a5646 (forall ((P tptp.fun_int_fun_int_bool) (X 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 X)) (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a5647 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) Y))))))
% 16.70/16.91 (assume a5648 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) Y))))))
% 16.70/16.91 (assume a5649 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)))))
% 16.70/16.91 (assume a5650 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) tptp.one_one_int)))))
% 16.70/16.91 (assume a5651 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)))))
% 16.70/16.91 (assume a5652 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int X)) tptp.one_one_int)))))
% 16.70/16.91 (assume a5653 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger M N) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N))))))
% 16.70/16.91 (assume a5654 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.70/16.91 (assume a5655 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int M N) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.70/16.91 (assume a5656 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.70/16.91 (assume a5657 (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.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) N)))))))
% 16.70/16.91 (assume a5658 (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)))))))
% 16.70/16.91 (assume a5659 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.divmod_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))
% 16.70/16.91 (assume a5660 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)) (= Y (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Z)))))
% 16.70/16.91 (assume a5661 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5662 (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))))
% 16.70/16.91 (assume a5663 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a5664 (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)))))))))
% 16.70/16.91 (assume a5665 (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))))))))
% 16.70/16.91 (assume a5666 (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.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int N) (tptp.unique5052692396658037445od_int M (tptp.aa_num_num tptp.bit0 N))))))))
% 16.70/16.91 (assume a5667 (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))))))))
% 16.70/16.91 (assume a5668 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.70/16.91 (assume a5669 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.70/16.91 (assume a5670 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5671 (= (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)))))
% 16.70/16.91 (assume a5672 (= (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)))))
% 16.70/16.91 (assume a5673 (= (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)))))
% 16.70/16.91 (assume a5674 (= (tptp.neg_nu7757733837767384882nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.70/16.91 (assume a5675 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5676 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5677 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.one_one_complex) tptp.one_one_complex))
% 16.70/16.91 (assume a5678 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.91 (assume a5679 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.one_one_int) tptp.one_one_int))
% 16.70/16.91 (assume a5680 (= (tptp.aa_num_nat tptp.pred_numeral tptp.one) tptp.zero_zero_nat))
% 16.70/16.91 (assume a5681 (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)))))
% 16.70/16.91 (assume a5682 (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))))
% 16.70/16.91 (assume a5683 (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))))
% 16.70/16.91 (assume a5684 (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)))))
% 16.70/16.91 (assume a5685 (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))))))
% 16.70/16.91 (assume a5686 (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)))))
% 16.70/16.91 (assume a5687 (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))))))
% 16.70/16.91 (assume a5688 (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)))))
% 16.70/16.91 (assume a5689 (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)))))
% 16.70/16.91 (assume a5690 (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))))
% 16.70/16.91 (assume a5691 (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))))))
% 16.70/16.91 (assume a5692 (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)))))
% 16.70/16.91 (assume a5693 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.70/16.91 (assume a5694 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 16.70/16.91 (assume a5695 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.zero_zero_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.70/16.91 (assume a5696 (= (tptp.neg_nu7757733837767384882nteger tptp.zero_z3403309356797280102nteger) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a5697 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5698 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5699 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5700 (forall ((N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5701 (forall ((M tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M))))))
% 16.70/16.91 (assume a5702 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M))))))
% 16.70/16.91 (assume a5703 (forall ((M tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M))))))
% 16.70/16.91 (assume a5704 (forall ((M tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M))))))
% 16.70/16.91 (assume a5705 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5706 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5707 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5708 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger N)) (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 16.70/16.91 (assume a5709 (forall ((M tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M)))))
% 16.70/16.91 (assume a5710 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M)))))
% 16.70/16.91 (assume a5711 (forall ((M tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M)))))
% 16.70/16.91 (assume a5712 (forall ((M tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.numera6620942414471956472nteger M) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M)))))
% 16.70/16.91 (assume a5713 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5714 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5715 (forall ((P tptp.fun_num_bool) (X 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 X))))))
% 16.70/16.91 (assume a5716 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num X) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num tptp.inc (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num X) Y)))))
% 16.70/16.91 (assume a5717 (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)))))
% 16.70/16.91 (assume a5718 (= (tptp.aa_num_num tptp.inc tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 16.70/16.91 (assume a5719 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit0 X)) (tptp.aa_num_num tptp.bit1 X))))
% 16.70/16.91 (assume a5720 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit1 X)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.inc X)))))
% 16.70/16.91 (assume a5721 (forall ((X tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num X) tptp.one) (tptp.aa_num_num tptp.inc X))))
% 16.70/16.91 (assume a5722 (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))))))
% 16.70/16.91 (assume a5723 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num X) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num X) Y)) X))))
% 16.70/16.91 (assume a5724 (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))))
% 16.70/16.91 (assume a5725 (forall ((X tptp.num)) (= (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.inc X)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.91 (assume a5726 (forall ((X tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 16.70/16.91 (assume a5727 (forall ((X tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 16.70/16.91 (assume a5728 (forall ((X tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.inc X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 16.70/16.91 (assume a5729 (forall ((X tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 16.70/16.91 (assume a5730 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int K)) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 16.70/16.91 (assume a5731 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 16.70/16.91 (assume a5732 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5733 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) I4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) 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 I4))) (tptp.aa_nat_int F I4)))) 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 ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) I4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_int F I4) K)))))))))
% 16.70/16.91 (assume a5734 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex X) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) X)) tptp.one_one_complex))))
% 16.70/16.91 (assume a5735 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X)) tptp.one_one_real))))
% 16.70/16.91 (assume a5736 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X)) tptp.one_one_int))))
% 16.70/16.91 (assume a5737 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5738 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5739 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) 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 I4))) (tptp.aa_nat_int F I4)))) 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 ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_int F I4) K))))))))
% 16.70/16.91 (assume a5740 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a5741 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) 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 I4) tptp.one_one_nat))) (tptp.aa_nat_int F I4)))) 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 ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_int F I4) K))))))))
% 16.70/16.91 (assume a5742 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.70/16.91 (assume a5743 (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))))
% 16.70/16.91 (assume a5744 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.91 (assume a5745 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))))
% 16.70/16.91 (assume a5746 (= (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))))
% 16.70/16.91 (assume a5747 (= (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))))
% 16.70/16.91 (assume a5748 (forall ((M tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bitM M) (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int)) tptp.one_one_int))))
% 16.70/16.91 (assume a5749 (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)))))))))
% 16.70/16.91 (assume a5750 (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)))))))))
% 16.70/16.91 (assume a5751 (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)))))))))
% 16.70/16.91 (assume a5752 (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.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.aa_Cod1783974652533396728nteger (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.aa_Cod1783974652533396728nteger (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)))))))))
% 16.70/16.91 (assume a5753 (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))))))
% 16.70/16.91 (assume a5754 (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))))))
% 16.70/16.91 (assume a5755 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.numera6690914467698888265omplex K))))))
% 16.70/16.91 (assume a5756 (forall ((K tptp.num)) (= (tptp.neg_nu5831290666863070958nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.uminus1351360451143612070nteger (tptp.neg_nu7757733837767384882nteger (tptp.numera6620942414471956472nteger K))))))
% 16.70/16.91 (assume a5757 (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))))))
% 16.70/16.91 (assume a5758 (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))))))
% 16.70/16.91 (assume a5759 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K))))))
% 16.70/16.91 (assume a5760 (forall ((K tptp.num)) (= (tptp.neg_nu7757733837767384882nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.uminus1351360451143612070nteger (tptp.neg_nu5831290666863070958nteger (tptp.numera6620942414471956472nteger K))))))
% 16.70/16.91 (assume a5761 (forall ((K tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.numera6690914467698888265omplex K))))
% 16.70/16.91 (assume a5762 (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))))
% 16.70/16.91 (assume a5763 (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))))
% 16.70/16.91 (assume a5764 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) (tptp.numera6690914467698888265omplex N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.70/16.91 (assume a5765 (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)))))
% 16.70/16.91 (assume a5766 (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)))))
% 16.70/16.91 (assume a5767 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 16.70/16.91 (assume a5768 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 16.70/16.91 (assume a5769 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 16.70/16.91 (assume a5770 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 16.70/16.91 (assume a5771 (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex tptp.one_one_int) tptp.one_one_complex))
% 16.70/16.91 (assume a5772 (= (tptp.aa_int_int tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int))
% 16.70/16.91 (assume a5773 (= (tptp.aa_int_real tptp.ring_1_of_int_real tptp.one_one_int) tptp.one_one_real))
% 16.70/16.91 (assume a5774 (forall ((Z tptp.int)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) tptp.one_one_complex) (= Z tptp.one_one_int))))
% 16.70/16.91 (assume a5775 (forall ((Z tptp.int)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) tptp.one_one_int) (= Z tptp.one_one_int))))
% 16.70/16.91 (assume a5776 (forall ((Z tptp.int)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) tptp.one_one_real) (= Z tptp.one_one_int))))
% 16.70/16.91 (assume a5777 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex W)) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z)))))
% 16.70/16.91 (assume a5778 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 16.70/16.91 (assume a5779 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 16.70/16.91 (assume a5780 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex W)) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z)))))
% 16.70/16.91 (assume a5781 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 16.70/16.91 (assume a5782 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 16.70/16.91 (assume a5783 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.70/16.91 (assume a5784 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.70/16.91 (assume a5785 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.70/16.91 (assume a5786 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W) (tptp.aa_int_real tptp.ring_1_of_int_real X)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X))))
% 16.70/16.91 (assume a5787 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W) (tptp.aa_int_int tptp.ring_1_of_int_int X)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X))))
% 16.70/16.91 (assume a5788 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X))))
% 16.70/16.91 (assume a5789 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) N))))
% 16.70/16.91 (assume a5790 (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))))
% 16.70/16.91 (assume a5791 (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))))
% 16.70/16.91 (assume a5792 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arctan X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5793 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5794 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5795 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arctan X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5796 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.zero_zero_complex) tptp.one_one_complex))
% 16.70/16.91 (assume a5797 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real tptp.zero_zero_real) tptp.one_one_real))
% 16.70/16.91 (assume a5798 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int tptp.zero_zero_int) tptp.one_one_int))
% 16.70/16.91 (assume a5799 (= (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)))
% 16.70/16.91 (assume a5800 (= (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)))
% 16.70/16.91 (assume a5801 (= (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)))
% 16.70/16.91 (assume a5802 (= (tptp.neg_nu5831290666863070958nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.70/16.91 (assume a5803 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 K)))))
% 16.70/16.91 (assume a5804 (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)))))
% 16.70/16.91 (assume a5805 (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)))))
% 16.70/16.91 (assume a5806 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.numera6690914467698888265omplex K)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bitM K)))))
% 16.70/16.91 (assume a5807 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bitM K)))))
% 16.70/16.91 (assume a5808 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM K)))))
% 16.70/16.91 (assume a5809 (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)))))
% 16.70/16.91 (assume a5810 (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)))))
% 16.70/16.91 (assume a5811 (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)))))
% 16.70/16.91 (assume a5812 (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)))))
% 16.70/16.91 (assume a5813 (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)))))
% 16.70/16.91 (assume a5814 (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)))))
% 16.70/16.91 (assume a5815 (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)))))
% 16.70/16.91 (assume a5816 (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)))))
% 16.70/16.91 (assume a5817 (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)))))
% 16.70/16.91 (assume a5818 (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)))))
% 16.70/16.91 (assume a5819 (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)))))
% 16.70/16.91 (assume a5820 (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))))))
% 16.70/16.91 (assume a5821 (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))))))
% 16.70/16.91 (assume a5822 (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))))))
% 16.70/16.91 (assume a5823 (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))))))
% 16.70/16.91 (assume a5824 (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)))))
% 16.70/16.91 (assume a5825 (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)))))
% 16.70/16.91 (assume a5826 (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)))))
% 16.70/16.91 (assume a5827 (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)))))
% 16.70/16.91 (assume a5828 (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)))))
% 16.70/16.91 (assume a5829 (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)))))
% 16.70/16.91 (assume a5830 (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)))))
% 16.70/16.91 (assume a5831 (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)))))
% 16.70/16.91 (assume a5832 (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)))))
% 16.70/16.91 (assume a5833 (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)))))
% 16.70/16.91 (assume a5834 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 16.70/16.91 (assume a5835 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 16.70/16.91 (assume a5836 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 16.70/16.91 (assume a5837 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 16.70/16.91 (assume a5838 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 16.70/16.91 (assume a5839 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 16.70/16.91 (assume a5840 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.70/16.91 (assume a5841 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.70/16.91 (assume a5842 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X)))))
% 16.70/16.91 (assume a5843 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X)))))
% 16.70/16.91 (assume a5844 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X)))))
% 16.70/16.91 (assume a5845 (forall ((B tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X)))))
% 16.70/16.91 (assume a5846 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.70/16.91 (assume a5847 (forall ((X tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.70/16.91 (assume a5848 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.91 (assume a5849 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.91 (assume a5850 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.91 (assume a5851 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.91 (assume a5852 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.91 (assume a5853 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.91 (assume a5854 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.91 (assume a5855 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.91 (assume a5856 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 16.70/16.91 (assume a5857 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 16.70/16.91 (assume a5858 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 16.70/16.91 (assume a5859 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 16.70/16.91 (assume a5860 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 16.70/16.91 (assume a5861 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 16.70/16.91 (assume a5862 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X))) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 16.70/16.91 (assume a5863 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) 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 X))) N) Y))))
% 16.70/16.91 (assume a5864 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5865 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5866 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5867 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 16.70/16.91 (assume a5868 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) 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 X))) N)) A)))))
% 16.70/16.91 (assume a5869 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 16.70/16.91 (assume a5870 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 16.70/16.91 (assume a5871 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 16.70/16.91 (assume a5872 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) 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 X))) N)) A)))))
% 16.70/16.91 (assume a5873 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5874 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5875 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 16.70/16.91 (assume a5876 (forall ((X tptp.int) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X)))))
% 16.70/16.91 (assume a5877 (forall ((X tptp.int) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_int_real tptp.ring_1_of_int_real X)))))
% 16.70/16.91 (assume a5878 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_int_int tptp.ring_1_of_int_int X)))))
% 16.70/16.91 (assume a5879 (forall ((X 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 X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_int_real tptp.ring_1_of_int_real Y)))))
% 16.70/16.91 (assume a5880 (forall ((X 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 X) 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 X)) (tptp.aa_int_int tptp.ring_1_of_int_int Y)))))
% 16.70/16.91 (assume a5881 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Y)) (tptp.ord_max_Code_integer (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger X) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y)))))
% 16.70/16.91 (assume a5882 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))))))
% 16.70/16.91 (assume a5883 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.91 (assume a5884 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))))))
% 16.70/16.91 (assume a5885 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.91 (assume a5886 (= (tptp.aa_num_num tptp.bitM tptp.one) tptp.one))
% 16.70/16.91 (assume a5887 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 16.70/16.91 (assume a5888 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 N)))))
% 16.70/16.91 (assume a5889 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bitM N)))))
% 16.70/16.91 (assume a5890 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 16.70/16.91 (assume a5891 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.inc N)) (tptp.aa_num_num tptp.bit1 N))))
% 16.70/16.91 (assume a5892 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.divide_divide_int N) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))))))
% 16.70/16.91 (assume a5893 (forall ((D tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) N)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.divide_divide_int N) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real D))))))
% 16.70/16.91 (assume a5894 (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))))))
% 16.70/16.91 (assume a5895 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bitM N)) tptp.one) (tptp.aa_num_num tptp.bit0 N))))
% 16.70/16.91 (assume a5896 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 16.70/16.91 (assume a5897 (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))))))
% 16.70/16.91 (assume a5898 (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))))))
% 16.70/16.91 (assume a5899 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 16.70/16.91 (assume a5900 (forall ((N tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) X))))))
% 16.70/16.91 (assume a5901 (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))))))
% 16.70/16.91 (assume a5902 (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))))))
% 16.70/16.91 (assume a5903 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 16.70/16.91 (assume a5904 (forall ((N tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) X))))))
% 16.70/16.91 (assume a5905 (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)))))
% 16.70/16.91 (assume a5906 (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)))))
% 16.70/16.91 (assume a5907 (forall ((K tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K)))))
% 16.70/16.91 (assume a5908 (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.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K)))))
% 16.70/16.91 (assume a5909 (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))))))
% 16.70/16.91 (assume a5910 (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))))))
% 16.70/16.91 (assume a5911 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex X) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) X)) tptp.one_one_complex))))
% 16.70/16.91 (assume a5912 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X)) tptp.one_one_real))))
% 16.70/16.91 (assume a5913 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X)) tptp.one_one_int))))
% 16.70/16.91 (assume a5914 (forall ((X tptp.int) (D tptp.int)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_int_real tptp.ring_1_of_int_real D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.divide_divide_int X) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.modulo_modulo_int X) D))) (tptp.aa_int_real tptp.ring_1_of_int_real D))))))
% 16.70/16.91 (assume a5915 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bitM N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_complex))))
% 16.70/16.91 (assume a5916 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bitM N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_real))))
% 16.70/16.91 (assume a5917 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_int))))
% 16.70/16.91 (assume a5918 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bitM W)))))))
% 16.70/16.91 (assume a5919 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM W)))))))
% 16.70/16.91 (assume a5920 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM W)))))))
% 16.70/16.91 (assume a5921 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.divide_divide_int N) X)))))))
% 16.70/16.91 (assume a5922 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.divide_divide_int N) X)))) tptp.one_one_real))))
% 16.70/16.91 (assume a5923 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)))))
% 16.70/16.91 (assume a5924 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)))))
% 16.70/16.91 (assume a5925 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)))))))))
% 16.70/16.91 (assume a5926 (forall ((X 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)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) tptp.one_one_int)))) (forall ((Y2 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 Y2)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y2) tptp.one_one_int))))) (= Y2 X4)))))))
% 16.70/16.91 (assume a5927 (forall ((X tptp.real)) (exists ((Z3 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 Z3)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z3) tptp.one_one_int))))))))
% 16.70/16.91 (assume a5928 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.70/16.91 (assume a5929 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.70/16.91 (assume a5930 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))))
% 16.70/16.91 (assume a5931 (forall ((K tptp.int) (L tptp.int)) (and (=> (or (= K tptp.zero_zero_int) (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) tptp.zero_zero_int)) (=> (not (or (= K tptp.zero_zero_int) (= L tptp.zero_zero_int))) (and (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) L)) (=> (not (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) K)) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.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)))))))))))))))
% 16.70/16.91 (assume a5932 (forall ((K tptp.int) (L tptp.int)) (and (=> (or (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (not (or (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) L)) (=> (not (= K tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_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.aa_int_int (tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.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)))))))))))))))
% 16.70/16.91 (assume a5933 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B)) B) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B))))
% 16.70/16.91 (assume a5934 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B))))
% 16.70/16.91 (assume a5935 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B))))
% 16.70/16.91 (assume a5936 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B))))
% 16.70/16.91 (assume a5937 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) A) A)))
% 16.70/16.91 (assume a5938 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) A) A)))
% 16.70/16.91 (assume a5939 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)) B) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B))))
% 16.70/16.91 (assume a5940 (forall ((A tptp.nat) (B tptp.nat)) (= (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.bit_se1412395901928357646or_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B))))
% 16.70/16.91 (assume a5941 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B))))
% 16.70/16.91 (assume a5942 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B))))
% 16.70/16.91 (assume a5943 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) A) A)))
% 16.70/16.91 (assume a5944 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) A) A)))
% 16.70/16.91 (assume a5945 (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)))))
% 16.70/16.91 (assume a5946 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.91 (assume a5947 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) X) tptp.zero_zero_int)))
% 16.70/16.91 (assume a5948 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 16.70/16.91 (assume a5949 (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)))
% 16.70/16.91 (assume a5950 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.70/16.91 (assume a5951 (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)))
% 16.70/16.91 (assume a5952 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) tptp.zero_zero_int) A)))
% 16.70/16.91 (assume a5953 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) tptp.zero_zero_nat) A)))
% 16.70/16.91 (assume a5954 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.zero_zero_int) A) A)))
% 16.70/16.91 (assume a5955 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.zero_zero_nat) A) A)))
% 16.70/16.91 (assume a5956 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))))))
% 16.70/16.91 (assume a5957 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.91 (assume a5958 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B)))))
% 16.70/16.91 (assume a5959 (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.bit_se727722235901077358nd_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B)))))
% 16.70/16.91 (assume a5960 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.91 (assume a5961 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B)))))
% 16.70/16.91 (assume a5962 (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.bit_se1412395901928357646or_nat A) B)) (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.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B)))))
% 16.70/16.91 (assume a5963 (= (tptp.aa_complex_complex tptp.exp_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 16.70/16.91 (assume a5964 (= (tptp.aa_real_real tptp.exp_real tptp.zero_zero_real) tptp.one_one_real))
% 16.70/16.91 (assume a5965 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) A) A)))
% 16.70/16.91 (assume a5966 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) A) A)))
% 16.70/16.91 (assume a5967 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger A (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) A)))
% 16.70/16.91 (assume a5968 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) A)))
% 16.70/16.91 (assume a5969 (forall ((X tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger X (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X)))
% 16.70/16.91 (assume a5970 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X)))
% 16.70/16.91 (assume a5971 (forall ((X tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) X) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5972 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a5973 (forall ((X tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger X (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.70/16.91 (assume a5974 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.91 (assume a5975 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) tptp.zero_zero_nat) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a5976 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) tptp.zero_zero_int) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a5977 (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 16.70/16.91 (assume a5978 (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 16.70/16.91 (assume a5979 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.exp_real X) tptp.one_one_real) (= X tptp.zero_zero_real))))
% 16.70/16.91 (assume a5980 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 16.70/16.91 (assume a5981 (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))))))
% 16.70/16.91 (assume a5982 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 16.70/16.91 (assume a5983 (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))))))
% 16.70/16.91 (assume a5984 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_int)))
% 16.70/16.91 (assume a5985 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_nat)))
% 16.70/16.91 (assume a5986 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.91 (assume a5987 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_nat) tptp.one_one_nat)))
% 16.70/16.91 (assume a5988 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y)))))
% 16.70/16.91 (assume a5989 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.70/16.91 (assume a5990 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a5991 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a5992 (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 16.70/16.91 (assume a5993 (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 16.70/16.91 (assume a5994 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5995 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5996 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a5997 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a5998 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_Code_integer tptp.bit_se2119862282449309892nteger N))))
% 16.70/16.91 (assume a5999 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 16.70/16.91 (assume a6000 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X)) X))))
% 16.70/16.91 (assume a6001 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X)) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a6002 (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)))
% 16.70/16.91 (assume a6003 (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)))
% 16.70/16.91 (assume a6004 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_int) tptp.zero_zero_int)))
% 16.70/16.91 (assume a6005 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_nat) tptp.zero_zero_nat)))
% 16.70/16.91 (assume a6006 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.70/16.91 (assume a6007 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.70/16.91 (assume a6008 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.70/16.91 (assume a6009 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.70/16.91 (assume a6010 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y)))))
% 16.70/16.91 (assume a6011 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.70/16.91 (assume a6012 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a6013 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a6014 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int)))
% 16.70/16.91 (assume a6015 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) tptp.one_one_int)))
% 16.70/16.91 (assume a6016 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 16.70/16.91 (assume a6017 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 16.70/16.91 (assume a6018 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.70/16.91 (assume a6019 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.70/16.91 (assume a6020 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.70/16.91 (assume a6021 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.70/16.91 (assume a6022 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) tptp.zero_zero_int)))
% 16.70/16.91 (assume a6023 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.zero_zero_int)))
% 16.70/16.91 (assume a6024 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.70/16.91 (assume a6025 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.70/16.91 (assume a6026 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.70/16.91 (assume a6027 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_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_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.70/16.91 (assume a6028 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.70/16.91 (assume a6029 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.70/16.91 (assume a6030 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.70/16.91 (assume a6031 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_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_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.70/16.91 (assume a6032 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int L)))))
% 16.70/16.91 (assume a6033 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int L)))))
% 16.70/16.91 (assume a6034 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 16.70/16.91 (assume a6035 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 16.70/16.91 (assume a6036 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)))))
% 16.70/16.91 (assume a6037 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) Z)) X) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int Y) X)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int Z) X)))))
% 16.70/16.91 (assume a6038 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int Y) Z)) X) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) X)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Z) X)))))
% 16.70/16.91 (assume a6039 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) Z)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Z)))))
% 16.70/16.91 (assume a6040 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int Y) Z)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Z)))))
% 16.70/16.91 (assume a6041 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) C)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B) C)))))
% 16.70/16.91 (assume a6042 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B) C)))))
% 16.70/16.91 (assume a6043 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int B) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) C)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int B) C)))))
% 16.70/16.91 (assume a6044 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat B) C)))))
% 16.70/16.91 (assume a6045 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B) A))))
% 16.70/16.91 (assume a6046 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B) A))))
% 16.70/16.91 (assume a6047 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int B) A))))
% 16.70/16.91 (assume a6048 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat B) A))))
% 16.70/16.91 (assume a6049 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B)) C) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B) C)))))
% 16.70/16.91 (assume a6050 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B) C)))))
% 16.70/16.91 (assume a6051 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)) C) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int B) C)))))
% 16.70/16.91 (assume a6052 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (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.bit_se1412395901928357646or_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat B) C)))))
% 16.70/16.91 (assume a6053 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y))))
% 16.70/16.91 (assume a6054 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) tptp.zero_zero_int) X)))
% 16.70/16.91 (assume a6055 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B) tptp.zero_zero_int) (and (= A tptp.zero_zero_int) (= B tptp.zero_zero_int)))))
% 16.70/16.91 (assume a6056 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6057 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.91 (assume a6058 (forall ((A2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex A2)) A2) (tptp.aa_complex_complex (tptp.times_times_complex A2) (tptp.aa_complex_complex tptp.exp_complex A2)))))
% 16.70/16.91 (assume a6059 (forall ((A2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real A2)) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A2) (tptp.aa_real_real tptp.exp_real A2)))))
% 16.70/16.91 (assume a6060 (forall ((A tptp.code_integer) (X tptp.code_integer) (Y tptp.code_integer)) (=> (= (tptp.bit_se3949692690581998587nteger A X) tptp.zero_z3403309356797280102nteger) (=> (= (tptp.bit_se1080825931792720795nteger A X) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (=> (= (tptp.bit_se3949692690581998587nteger A Y) tptp.zero_z3403309356797280102nteger) (=> (= (tptp.bit_se1080825931792720795nteger A Y) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= X Y)))))))
% 16.70/16.91 (assume a6061 (forall ((A tptp.int) (X tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) X) tptp.zero_zero_int) (=> (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) Y) tptp.zero_zero_int) (=> (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) Y) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= X Y)))))))
% 16.70/16.91 (assume a6062 (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)))))
% 16.70/16.91 (assume a6063 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.bit_se3949692690581998587nteger A B) (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (and (= A (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= B (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.70/16.91 (assume a6064 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (and (= A (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= B (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.70/16.91 (assume a6065 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6066 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.exp_real X)))))
% 16.70/16.91 (assume a6067 (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)))))
% 16.70/16.91 (assume a6068 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.exp_real X)))))
% 16.70/16.91 (assume a6069 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6070 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)))))))
% 16.70/16.91 (assume a6071 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L))))))
% 16.70/16.91 (assume a6072 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y))))))
% 16.70/16.91 (assume a6073 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) X)))))
% 16.70/16.91 (assume a6074 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Y)))))
% 16.70/16.91 (assume a6075 (forall ((Y tptp.int) (Z tptp.int) (Ya tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) Ya)) Z))))))
% 16.70/16.91 (assume a6076 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Z))))))
% 16.70/16.91 (assume a6077 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y))))))
% 16.70/16.91 (assume a6078 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))))))
% 16.70/16.91 (assume a6079 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)))))
% 16.70/16.91 (assume a6080 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))
% 16.70/16.91 (assume a6081 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y)))))
% 16.70/16.91 (assume a6082 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y)))))
% 16.70/16.91 (assume a6083 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 16.70/16.91 (assume a6084 (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)))))
% 16.70/16.91 (assume a6085 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc N)) (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.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.bit_se2002935070580805687sk_nat N)))))
% 16.70/16.91 (assume a6086 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_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_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 16.70/16.91 (assume a6087 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))))))
% 16.70/16.91 (assume a6088 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real tptp.exp_real X)))))
% 16.70/16.91 (assume a6089 (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)))))
% 16.70/16.91 (assume a6090 (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))))))
% 16.70/16.91 (assume a6091 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Z))))))
% 16.70/16.91 (assume a6092 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X))) tptp.one_one_real)))
% 16.70/16.91 (assume a6093 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))) tptp.one_one_complex)))
% 16.70/16.91 (assume a6094 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))))
% 16.70/16.91 (assume a6095 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))))
% 16.70/16.91 (assume a6096 (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))))))
% 16.70/16.91 (assume a6097 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se3949692690581998587nteger A B))) (or (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6098 (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.bit_se725231765392027082nd_int A) B))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6099 (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.bit_se727722235901077358nd_nat A) B))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6100 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1080825931792720795nteger A B))) (and (tptp.pp (tptp.aa_Code_integer_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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6101 (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.bit_se1409905431419307370or_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6102 (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.bit_se1412395901928357646or_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.70/16.91 (assume a6103 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real tptp.exp_real X))))))
% 16.70/16.91 (assume a6104 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))
% 16.70/16.91 (assume a6105 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) Y)) (exists ((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_eq_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) tptp.one_one_real))) (= (tptp.aa_real_real tptp.exp_real X4) Y))))))
% 16.70/16.91 (assume a6106 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real Y)) X))))))
% 16.70/16.91 (assume a6107 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real Y)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))))
% 16.70/16.91 (assume a6108 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_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))))))
% 16.70/16.91 (assume a6109 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6110 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) 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))))))
% 16.70/16.91 (assume a6111 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6112 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.70/16.91 (assume a6113 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int)) tptp.zero_zero_int))))
% 16.70/16.91 (assume a6114 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 16.70/16.91 (assume a6115 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tanh_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))))))
% 16.70/16.91 (assume a6116 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 16.70/16.91 (assume a6117 (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)))))
% 16.70/16.91 (assume a6118 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6119 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6120 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6121 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer tptp.bit_se2119862282449309892nteger N))) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6122 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6123 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6124 (forall ((A tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger A tptp.one_one_Code_integer) (tptp.plus_p5714425477246183910nteger A (tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6125 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6126 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6127 (forall ((A tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger tptp.one_one_Code_integer A) (tptp.plus_p5714425477246183910nteger A (tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6128 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6129 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6130 (forall ((X tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.91 (assume a6131 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.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)))))))))
% 16.70/16.91 (assume a6132 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 16.70/16.91 (assume a6133 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.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)))))))))
% 16.70/16.91 (assume a6134 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 16.70/16.91 (assume a6135 (forall ((P tptp.fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (exists ((N3 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool P N3))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))))))
% 16.70/16.91 (assume a6136 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 16.70/16.91 (assume a6137 (forall ((X tptp.real)) (exists ((Z3 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z3))))))
% 16.70/16.91 (assume a6138 (forall ((X tptp.real)) (exists ((Z3 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 Z3)) X)))))
% 16.70/16.91 (assume a6139 (forall ((X tptp.real)) (exists ((Z3 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z3))))))
% 16.70/16.91 (assume a6140 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 16.70/16.91 (assume a6141 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 16.70/16.91 (assume a6142 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.91 (assume a6143 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))))))))
% 16.70/16.91 (assume a6144 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int))))))
% 16.70/16.91 (assume a6145 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real X))))))
% 16.70/16.91 (assume a6146 (forall ((X tptp.real) (Y tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real Y))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) Y)))))
% 16.70/16.91 (assume a6147 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) N))))
% 16.70/16.91 (assume a6148 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a6149 (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)))))))))))
% 16.70/16.91 (assume a6150 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Xa2) Y) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.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))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.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))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) 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 X) (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))))))))))))
% 16.70/16.91 (assume a6151 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 16.70/16.91 (assume a6152 (forall ((X 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 X A2)) B2)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2))))))
% 16.70/16.91 (assume a6153 (forall ((X tptp.complex) (A2 tptp.set_complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.insert_complex X A2)) B2)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) B2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2))))))
% 16.70/16.91 (assume a6154 (forall ((X tptp.product_prod_nat_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.insert8211810215607154385at_nat X A2)) B2)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) B2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2))))))
% 16.70/16.91 (assume a6155 (forall ((X 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 X A2)) B2)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2))))))
% 16.70/16.91 (assume a6156 (forall ((X tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.insert_nat X A2)) B2)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2))))))
% 16.70/16.91 (assume a6157 (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)))))))
% 16.70/16.91 (assume a6158 (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)))))))
% 16.70/16.91 (assume a6159 (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.ord_less_eq_set_nat A2) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 16.70/16.91 (assume a6160 (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)))))))
% 16.70/16.91 (assume a6161 (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)))))))
% 16.70/16.91 (assume a6162 (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.ord_less_eq_set_nat A2) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 16.70/16.91 (assume a6163 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.70/16.91 (assume a6164 (= (tptp.aa_real_int tptp.archim8280529875227126926d_real tptp.one_one_real) tptp.one_one_int))
% 16.70/16.91 (assume a6165 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 16.70/16.91 (assume a6166 (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)))
% 16.70/16.91 (assume a6167 (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)))))
% 16.70/16.91 (assume a6168 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a6169 (forall ((A2 tptp.set_complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) (tptp.uminus8566677241136511917omplex (tptp.insert_complex B tptp.bot_bot_set_complex)))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) A2))))))
% 16.70/16.91 (assume a6170 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) (tptp.uminus6524753893492686040at_nat (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) A2))))))
% 16.70/16.91 (assume a6171 (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))))))
% 16.70/16.91 (assume a6172 (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))))))
% 16.70/16.91 (assume a6173 (forall ((A2 tptp.set_nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.91 (assume a6174 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.91 (assume a6175 (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)))))
% 16.70/16.91 (assume a6176 (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)))
% 16.70/16.91 (assume a6177 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat)))
% 16.70/16.91 (assume a6178 (forall ((N tptp.nat) (X tptp.vEBT_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X)) (tptp.insert_VEBT_VEBT X tptp.bot_bo8194388402131092736T_VEBT)))))
% 16.70/16.91 (assume a6179 (forall ((N tptp.nat) (X tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X)) (tptp.insert_nat X tptp.bot_bot_set_nat)))))
% 16.70/16.91 (assume a6180 (forall ((N tptp.nat) (X tptp.int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X)) (tptp.insert_int X tptp.bot_bot_set_int)))))
% 16.70/16.91 (assume a6181 (forall ((N tptp.nat) (X tptp.real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_real2 (tptp.replicate_real N X)) (tptp.insert_real X tptp.bot_bot_set_real)))))
% 16.70/16.91 (assume a6182 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.70/16.91 (assume a6183 (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))))))
% 16.70/16.91 (assume a6184 (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))))))
% 16.70/16.91 (assume a6185 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bit0 N)))))))
% 16.70/16.91 (assume a6186 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bit0 N)))))))
% 16.70/16.91 (assume a6187 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bitM N)))))))
% 16.70/16.91 (assume a6188 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bitM N)))))))
% 16.70/16.91 (assume a6189 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 16.70/16.91 (assume a6190 (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))))))
% 16.70/16.91 (assume a6191 (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))))))
% 16.70/16.91 (assume a6192 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.insert_nat B B2))))))
% 16.70/16.91 (assume a6193 (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)))))
% 16.70/16.91 (assume a6194 (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)))))
% 16.70/16.91 (assume a6195 (forall ((B2 tptp.set_nat) (A tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) (tptp.insert_nat A B2)))))
% 16.70/16.91 (assume a6196 (forall ((X tptp.int) (A2 tptp.set_int) (B2 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X B2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2))))))
% 16.70/16.91 (assume a6197 (forall ((X tptp.complex) (A2 tptp.set_complex) (B2 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) (tptp.insert_complex X B2))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2))))))
% 16.70/16.91 (assume a6198 (forall ((X tptp.product_prod_nat_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2))) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) (tptp.insert8211810215607154385at_nat X B2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2))))))
% 16.70/16.91 (assume a6199 (forall ((X tptp.real) (A2 tptp.set_real) (B2 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X B2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2))))))
% 16.70/16.91 (assume a6200 (forall ((X tptp.nat) (A2 tptp.set_nat) (B2 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X B2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2))))))
% 16.70/16.91 (assume a6201 (forall ((C4 tptp.set_int) (D4 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C4) D4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int A C4)) (tptp.insert_int A D4))))))
% 16.70/16.91 (assume a6202 (forall ((C4 tptp.set_real) (D4 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real C4) D4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.insert_real A C4)) (tptp.insert_real A D4))))))
% 16.70/16.91 (assume a6203 (forall ((C4 tptp.set_nat) (D4 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C4) D4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.insert_nat A C4)) (tptp.insert_nat A D4))))))
% 16.70/16.91 (assume a6204 (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) tptp.one) tptp.one))
% 16.70/16.91 (assume a6205 (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))))))
% 16.70/16.91 (assume a6206 (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))))))
% 16.70/16.91 (assume a6207 (forall ((X6 tptp.set_nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.91 (assume a6208 (forall ((A2 tptp.set_int) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X tptp.bot_bot_set_int))) (or (= A2 tptp.bot_bot_set_int) (= A2 (tptp.insert_int X tptp.bot_bot_set_int))))))
% 16.70/16.91 (assume a6209 (forall ((A2 tptp.set_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X tptp.bot_bot_set_real))) (or (= A2 tptp.bot_bot_set_real) (= A2 (tptp.insert_real X tptp.bot_bot_set_real))))))
% 16.70/16.91 (assume a6210 (forall ((A2 tptp.set_nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X tptp.bot_bot_set_nat))) (or (= A2 tptp.bot_bot_set_nat) (= A2 (tptp.insert_nat X tptp.bot_bot_set_nat))))))
% 16.70/16.91 (assume a6211 (forall ((A2 tptp.set_int) (B2 tptp.set_int) (X 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 X 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 X) A2)))))))
% 16.70/16.91 (assume a6212 (forall ((A2 tptp.set_complex) (B2 tptp.set_complex) (X tptp.complex) (C4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) (tptp.minus_811609699411566653omplex B2 (tptp.insert_complex X C4)))) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) (tptp.minus_811609699411566653omplex B2 C4))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)))))))
% 16.70/16.91 (assume a6213 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (C4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) (tptp.minus_1356011639430497352at_nat B2 (tptp.insert8211810215607154385at_nat X C4)))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) (tptp.minus_1356011639430497352at_nat B2 C4))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2)))))))
% 16.70/16.91 (assume a6214 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (X 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 X 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 X) A2)))))))
% 16.70/16.91 (assume a6215 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (X tptp.nat) (C4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.minus_minus_set_nat B2 (tptp.insert_nat X C4)))) (and (tptp.pp (tptp.aa_set_nat_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 X) A2)))))))
% 16.70/16.91 (assume a6216 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.91 (assume a6217 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M)))))
% 16.70/16.91 (assume a6218 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) tptp.one) tptp.one)))
% 16.70/16.91 (assume a6219 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 M))))
% 16.70/16.91 (assume a6220 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M)))))
% 16.70/16.91 (assume a6221 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M)))))
% 16.70/16.91 (assume a6222 (forall ((S tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_num)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (S4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S4)) (=> (forall ((Y2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y2) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_complex_num F Y2)) (tptp.aa_complex_num F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 S4))))))) (tptp.pp (tptp.aa_set_complex_bool P S)))))))
% 16.70/16.91 (assume a6223 (forall ((S 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 S)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (S4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S4)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y2) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F Y2)) (tptp.aa_nat_num F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 S4))))))) (tptp.pp (tptp.aa_set_nat_bool P S)))))))
% 16.70/16.91 (assume a6224 (forall ((S 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 S)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (S4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (forall ((Y2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y2) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F Y2)) (tptp.aa_int_num F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool P S4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 S4))))))) (tptp.pp (tptp.aa_set_int_bool P S)))))))
% 16.70/16.91 (assume a6225 (forall ((S 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 S)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (S4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (forall ((Y2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y2) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_real_num F Y2)) (tptp.aa_real_num F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool P S4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 S4))))))) (tptp.pp (tptp.aa_set_real_bool P S)))))))
% 16.70/16.91 (assume a6226 (forall ((S tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (S4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S4)) (=> (forall ((Y2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y2) S4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F Y2)) (tptp.aa_complex_nat F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 S4))))))) (tptp.pp (tptp.aa_set_complex_bool P S)))))))
% 16.70/16.91 (assume a6227 (forall ((S tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (S4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S4)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y2) S4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F Y2)) (tptp.aa_nat_nat F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 S4))))))) (tptp.pp (tptp.aa_set_nat_bool P S)))))))
% 16.70/16.91 (assume a6228 (forall ((S tptp.set_int) (P tptp.fun_set_int_bool) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X4 tptp.int) (S4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (forall ((Y2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y2) S4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F Y2)) (tptp.aa_int_nat F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool P S4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X4 S4))))))) (tptp.pp (tptp.aa_set_int_bool P S)))))))
% 16.70/16.91 (assume a6229 (forall ((S tptp.set_real) (P tptp.fun_set_real_bool) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X4 tptp.real) (S4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (forall ((Y2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y2) S4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F Y2)) (tptp.aa_real_nat F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool P S4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X4 S4))))))) (tptp.pp (tptp.aa_set_real_bool P S)))))))
% 16.70/16.91 (assume a6230 (forall ((S tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X4 tptp.complex) (S4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S4)) (=> (forall ((Y2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y2) S4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F Y2)) (tptp.aa_complex_int F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X4 S4))))))) (tptp.pp (tptp.aa_set_complex_bool P S)))))))
% 16.70/16.91 (assume a6231 (forall ((S tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X4 tptp.nat) (S4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S4)) (=> (forall ((Y2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y2) S4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F Y2)) (tptp.aa_nat_int F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X4 S4))))))) (tptp.pp (tptp.aa_set_nat_bool P S)))))))
% 16.70/16.91 (assume a6232 (forall ((A2 tptp.set_Extended_enat) (P tptp.fun_se2015444840911768724t_bool)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat A2)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool P tptp.bot_bo7653980558646680370d_enat)) (=> (forall ((B3 tptp.extended_enat) (A6 tptp.set_Extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat A6)) (=> (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat X2) A6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat X2) B3)))) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool P A6)) (tptp.pp (tptp.aa_set3347977610044113549t_bool P (tptp.insert_Extended_enat B3 A6))))))) (tptp.pp (tptp.aa_set3347977610044113549t_bool P A2)))))))
% 16.70/16.91 (assume a6233 (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) (A6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A6)) (=> (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X2) B3)))) (=> (tptp.pp (tptp.aa_set_real_bool P A6)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A6))))))) (tptp.pp (tptp.aa_set_real_bool P A2)))))))
% 16.70/16.91 (assume a6234 (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) (A6 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A6)) (=> (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X2) A6)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X2) B3)))) (=> (tptp.pp (tptp.aa_set_num_bool P A6)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A6))))))) (tptp.pp (tptp.aa_set_num_bool P A2)))))))
% 16.70/16.91 (assume a6235 (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) (A6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A6)) (=> (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) B3)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A6)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A6))))))) (tptp.pp (tptp.aa_set_nat_bool P A2)))))))
% 16.70/16.91 (assume a6236 (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) (A6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A6)) (=> (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X2) B3)))) (=> (tptp.pp (tptp.aa_set_int_bool P A6)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A6))))))) (tptp.pp (tptp.aa_set_int_bool P A2)))))))
% 16.70/16.91 (assume a6237 (forall ((A2 tptp.set_Extended_enat) (P tptp.fun_se2015444840911768724t_bool)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat A2)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool P tptp.bot_bo7653980558646680370d_enat)) (=> (forall ((B3 tptp.extended_enat) (A6 tptp.set_Extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool tptp.finite4001608067531595151d_enat A6)) (=> (forall ((X2 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat X2) A6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat B3) X2)))) (=> (tptp.pp (tptp.aa_set3347977610044113549t_bool P A6)) (tptp.pp (tptp.aa_set3347977610044113549t_bool P (tptp.insert_Extended_enat B3 A6))))))) (tptp.pp (tptp.aa_set3347977610044113549t_bool P A2)))))))
% 16.70/16.91 (assume a6238 (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) (A6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A6)) (=> (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B3) X2)))) (=> (tptp.pp (tptp.aa_set_real_bool P A6)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A6))))))) (tptp.pp (tptp.aa_set_real_bool P A2)))))))
% 16.70/16.91 (assume a6239 (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) (A6 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A6)) (=> (forall ((X2 tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X2) A6)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B3) X2)))) (=> (tptp.pp (tptp.aa_set_num_bool P A6)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A6))))))) (tptp.pp (tptp.aa_set_num_bool P A2)))))))
% 16.70/16.91 (assume a6240 (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) (A6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A6)) (=> (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B3) X2)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A6)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A6))))))) (tptp.pp (tptp.aa_set_nat_bool P A2)))))))
% 16.70/16.91 (assume a6241 (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) (A6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A6)) (=> (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B3) X2)))) (=> (tptp.pp (tptp.aa_set_int_bool P A6)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A6))))))) (tptp.pp (tptp.aa_set_int_bool P A2)))))))
% 16.70/16.91 (assume a6242 (forall ((F3 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat F3) A2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A3 tptp.product_prod_nat_nat) (F4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat F4) A2)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) F4))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat A3 F4))))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3))))))))
% 16.70/16.91 (assume a6243 (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))))))))
% 16.70/16.91 (assume a6244 (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))))))))
% 16.70/16.91 (assume a6245 (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))))))))
% 16.70/16.91 (assume a6246 (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.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.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))))))))
% 16.70/16.91 (assume a6247 (forall ((F3 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat F3) A2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A3 tptp.product_prod_nat_nat) (F4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A2)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) F4))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat A3 F4)))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3))))))))
% 16.70/16.91 (assume a6248 (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))))))))
% 16.70/16.91 (assume a6249 (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))))))))
% 16.70/16.91 (assume a6250 (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))))))))
% 16.70/16.91 (assume a6251 (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.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))))))))
% 16.70/16.91 (assume a6252 (forall ((A2 tptp.set_complex) (X tptp.complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) (tptp.insert_complex X B2))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))) B2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)))))))
% 16.70/16.91 (assume a6253 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) (tptp.insert8211810215607154385at_nat X B2))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat (tptp.minus_1356011639430497352at_nat A2 (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)))))))
% 16.70/16.91 (assume a6254 (forall ((A2 tptp.set_int) (X tptp.int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))) B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))))
% 16.70/16.91 (assume a6255 (forall ((A2 tptp.set_real) (X tptp.real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))) B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))))
% 16.70/16.91 (assume a6256 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)))))))
% 16.70/16.91 (assume a6257 (forall ((A2 tptp.set_int) (X 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 X tptp.bot_bot_set_int))) B2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) (tptp.insert_int X B2))))))
% 16.70/16.91 (assume a6258 (forall ((A2 tptp.set_real) (X 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 X tptp.bot_bot_set_real))) B2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.insert_real X B2))))))
% 16.70/16.91 (assume a6259 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat))) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.insert_nat X B2))))))
% 16.70/16.91 (assume a6260 (forall ((Xs tptp.list_int) (I2 tptp.nat) (X tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I2 X))) (tptp.insert_int X (tptp.set_int2 Xs))))))
% 16.70/16.91 (assume a6261 (forall ((Xs tptp.list_VEBT_VEBT) (I2 tptp.nat) (X tptp.vEBT_VEBT)) (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I2 X)) (tptp.insert_VEBT_VEBT X (tptp.set_VEBT_VEBT2 Xs)))))
% 16.70/16.91 (assume a6262 (forall ((Xs tptp.list_real) (I2 tptp.nat) (X tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 (tptp.list_update_real Xs I2 X))) (tptp.insert_real X (tptp.set_real2 Xs))))))
% 16.70/16.91 (assume a6263 (forall ((Xs tptp.list_nat) (I2 tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I2 X))) (tptp.insert_nat X (tptp.set_nat2 Xs))))))
% 16.70/16.91 (assume a6264 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 M))))
% 16.70/16.91 (assume a6265 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M)))))
% 16.70/16.91 (assume a6266 (forall ((P tptp.fun_se8074476271188067385t_bool) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B2))) (=> (forall ((A6 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A6)) (=> (not (= A6 tptp.bot_bo2099793752762293965at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A6) B2)) (=> (forall ((X2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X2) A6)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.minus_1356011639430497352at_nat A6 (tptp.insert8211810215607154385at_nat X2 tptp.bot_bo2099793752762293965at_nat)))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A6))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B2)))))))
% 16.70/16.91 (assume a6267 (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 ((A6 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A6)) (=> (not (= A6 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A6) B2)) (=> (forall ((X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A6)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A6 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A6))))))) (tptp.pp (tptp.aa_set_complex_bool P B2)))))))
% 16.70/16.91 (assume a6268 (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 ((A6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A6)) (=> (not (= A6 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A6) B2)) (=> (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A6)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A6 (tptp.insert_int X2 tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A6))))))) (tptp.pp (tptp.aa_set_int_bool P B2)))))))
% 16.70/16.91 (assume a6269 (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 ((A6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A6)) (=> (not (= A6 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A6) B2)) (=> (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A6)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A6 (tptp.insert_real X2 tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A6))))))) (tptp.pp (tptp.aa_set_real_bool P B2)))))))
% 16.70/16.91 (assume a6270 (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 ((A6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A6)) (=> (not (= A6 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A6) B2)) (=> (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A6)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.minus_minus_set_nat A6 (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A6))))))) (tptp.pp (tptp.aa_set_nat_bool P B2)))))))
% 16.70/16.91 (assume a6271 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A6 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A6)) (=> (not (= A6 tptp.bot_bo2099793752762293965at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A6) B2)) (=> (forall ((X2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X2) A6)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.minus_1356011639430497352at_nat A6 (tptp.insert8211810215607154385at_nat X2 tptp.bot_bo2099793752762293965at_nat)))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A6))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B2)))))))
% 16.70/16.91 (assume a6272 (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 ((A6 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A6)) (=> (not (= A6 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A6) B2)) (=> (forall ((X2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A6)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A6 (tptp.insert_complex X2 tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A6))))))) (tptp.pp (tptp.aa_set_complex_bool P B2)))))))
% 16.70/16.91 (assume a6273 (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 ((A6 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A6)) (=> (not (= A6 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A6) B2)) (=> (forall ((X2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A6)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A6 (tptp.insert_int X2 tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A6))))))) (tptp.pp (tptp.aa_set_int_bool P B2)))))))
% 16.70/16.91 (assume a6274 (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 ((A6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A6)) (=> (not (= A6 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A6) B2)) (=> (forall ((X2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X2) A6)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A6 (tptp.insert_real X2 tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A6))))))) (tptp.pp (tptp.aa_set_real_bool P B2)))))))
% 16.70/16.91 (assume a6275 (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 ((A6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A6)) (=> (not (= A6 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A6) B2)) (=> (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A6)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.minus_minus_set_nat A6 (tptp.insert_nat X2 tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A6))))))) (tptp.pp (tptp.aa_set_nat_bool P B2)))))))
% 16.70/16.91 (assume a6276 (forall ((A2 tptp.set_complex) (X tptp.complex) (B2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A2) (tptp.insert_complex X B2))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) B2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A2) B2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) B2))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))) B2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A2) B2)))))))))
% 16.70/16.91 (assume a6277 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le7866589430770878221at_nat A2) (tptp.insert8211810215607154385at_nat X B2))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) B2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le7866589430770878221at_nat A2) B2))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) B2))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le7866589430770878221at_nat (tptp.minus_1356011639430497352at_nat A2 (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)))))))))
% 16.70/16.91 (assume a6278 (forall ((A2 tptp.set_int) (X tptp.int) (B2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A2) (tptp.insert_int X B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) 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 X) B2))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))) B2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A2) B2)))))))))
% 16.70/16.91 (assume a6279 (forall ((A2 tptp.set_real) (X tptp.real) (B2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A2) (tptp.insert_real X B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) 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 X) B2))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))) B2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) B2)))))))))
% 16.70/16.91 (assume a6280 (forall ((A2 tptp.set_nat) (X tptp.nat) (B2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) (tptp.insert_nat X B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) B2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A2) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) B2))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat))) B2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)))))))))
% 16.70/16.91 (assume a6281 (forall ((N tptp.nat) (X tptp.vEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat tptp.suc N) X)) (tptp.insert_VEBT_VEBT X tptp.bot_bo8194388402131092736T_VEBT))))
% 16.70/16.91 (assume a6282 (forall ((N tptp.nat) (X tptp.nat)) (= (tptp.set_nat2 (tptp.replicate_nat (tptp.aa_nat_nat tptp.suc N) X)) (tptp.insert_nat X tptp.bot_bot_set_nat))))
% 16.70/16.91 (assume a6283 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.set_int2 (tptp.replicate_int (tptp.aa_nat_nat tptp.suc N) X)) (tptp.insert_int X tptp.bot_bot_set_int))))
% 16.70/16.91 (assume a6284 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.set_real2 (tptp.replicate_real (tptp.aa_nat_nat tptp.suc N) X)) (tptp.insert_real X tptp.bot_bot_set_real))))
% 16.70/16.91 (assume a6285 (forall ((N tptp.nat) (X tptp.vEBT_VEBT)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X)) tptp.bot_bo8194388402131092736T_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X)) (tptp.insert_VEBT_VEBT X tptp.bot_bo8194388402131092736T_VEBT))))))
% 16.70/16.91 (assume a6286 (forall ((N tptp.nat) (X tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_nat2 (tptp.replicate_nat N X)) tptp.bot_bot_set_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X)) (tptp.insert_nat X tptp.bot_bot_set_nat))))))
% 16.70/16.91 (assume a6287 (forall ((N tptp.nat) (X tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_int2 (tptp.replicate_int N X)) tptp.bot_bot_set_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X)) (tptp.insert_int X tptp.bot_bot_set_int))))))
% 16.70/16.91 (assume a6288 (forall ((N tptp.nat) (X tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_real2 (tptp.replicate_real N X)) tptp.bot_bot_set_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_real2 (tptp.replicate_real N X)) (tptp.insert_real X tptp.bot_bot_set_real))))))
% 16.70/16.91 (assume a6289 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.num)) (=> (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg X) Xa2) Y) (=> (=> (= X tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.one)))) (=> (=> (= X tptp.one) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M5)) (not (= Y (tptp.aa_num_num tptp.bit1 M5)))))) (=> (=> (= X tptp.one) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M5)) (not (= Y (tptp.aa_num_num tptp.bit1 M5)))))) (=> (=> (exists ((N3 tptp.num)) (= X (tptp.aa_num_num tptp.bit0 N3))) (=> (= Xa2 tptp.one) (not (= Y (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M5)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N3) M5)))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M5)) (not (= Y (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N3) M5)))))))) (=> (=> (exists ((N3 tptp.num)) (= X (tptp.aa_num_num tptp.bit1 N3))) (=> (= Xa2 tptp.one) (not (= Y tptp.one)))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M5)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N3) M5)))))))) (not (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M5 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M5)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N3) M5))))))))))))))))))))
% 16.70/16.91 (assume a6290 (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)))))))
% 16.70/16.91 (assume a6291 (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)))))))))))
% 16.70/16.91 (assume a6292 (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))))))
% 16.70/16.91 (assume a6293 (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))))))
% 16.70/16.91 (assume a6294 (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)))))))))
% 16.70/16.91 (assume a6295 (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)))))))))
% 16.70/16.91 (assume a6296 (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)))))))))))))
% 16.70/16.91 (assume a6297 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a6298 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))))))
% 16.70/16.91 (assume a6299 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))))))
% 16.70/16.91 (assume a6300 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Xa2) Y) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa2))) (not (=> (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.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))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.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))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) 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 X) (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.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa2))))))))))
% 16.70/16.91 (assume a6301 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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))))))))))))
% 16.70/16.91 (assume a6302 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.91 (assume a6303 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))))
% 16.70/16.91 (assume a6304 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arctan X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.70/16.91 (assume a6305 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.91 (assume a6306 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) (tptp.aa_real_real tptp.sqrt Y)) (= X Y))))
% 16.70/16.91 (assume a6307 (= (tptp.bit_se1146084159140164899it_int tptp.zero_zero_int) tptp.bot_bot_fun_nat_bool))
% 16.70/16.91 (assume a6308 (= (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.zero_zero_nat) tptp.bot_bot_fun_nat_bool))
% 16.70/16.91 (assume a6309 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))
% 16.70/16.91 (assume a6310 (= (tptp.aa_real_real tptp.sqrt tptp.zero_zero_real) tptp.zero_zero_real))
% 16.70/16.91 (assume a6311 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.91 (assume a6312 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.91 (assume a6313 (= (tptp.aa_real_real tptp.sqrt tptp.one_one_real) tptp.one_one_real))
% 16.70/16.91 (assume a6314 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) tptp.one_one_real) (= X tptp.one_one_real))))
% 16.70/16.91 (assume a6315 (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)))))
% 16.70/16.91 (assume a6316 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6317 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)))))
% 16.70/16.91 (assume a6318 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6319 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 16.70/16.91 (assume a6320 (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)))))
% 16.70/16.91 (assume a6321 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) Y)))))
% 16.70/16.91 (assume a6322 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 16.70/16.91 (assume a6323 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) tptp.one_one_real) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6324 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real tptp.abs_abs_real X))))
% 16.70/16.91 (assume a6325 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt A)) (tptp.aa_real_real tptp.sqrt A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 16.70/16.91 (assume a6326 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)))))
% 16.70/16.91 (assume a6327 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 16.70/16.91 (assume a6328 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)))))
% 16.70/16.91 (assume a6329 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 16.70/16.91 (assume a6330 (= (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.91 (assume a6331 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)))))))
% 16.70/16.91 (assume a6332 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))))
% 16.70/16.91 (assume a6333 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)))))))
% 16.70/16.91 (assume a6334 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) A)))))))
% 16.70/16.91 (assume a6335 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))))
% 16.70/16.91 (assume a6336 (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)))))
% 16.70/16.91 (assume a6337 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 16.70/16.91 (assume a6338 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))
% 16.70/16.91 (assume a6339 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))))
% 16.70/16.91 (assume a6340 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))))
% 16.70/16.91 (assume a6341 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X)))))))
% 16.70/16.91 (assume a6342 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) A)))))))
% 16.70/16.91 (assume a6343 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))))
% 16.70/16.91 (assume a6344 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.70/16.91 (assume a6345 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.70/16.91 (assume a6346 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) N)))))
% 16.70/16.91 (assume a6347 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.70/16.91 (assume a6348 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.70/16.91 (assume a6349 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) N))))))
% 16.70/16.91 (assume a6350 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6351 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6352 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.70/16.91 (assume a6353 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X))))
% 16.70/16.91 (assume a6354 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.70/16.91 (assume a6355 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.70/16.91 (assume a6356 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6357 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_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)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6358 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6359 (forall ((X tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a6360 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))))
% 16.70/16.91 (assume a6361 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a6362 (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)))))))
% 16.70/16.91 (assume a6363 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N)))))))
% 16.70/16.91 (assume a6364 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N)))))))
% 16.70/16.91 (assume a6365 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 16.70/16.91 (assume a6366 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 16.70/16.91 (assume a6367 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.70/16.91 (assume a6368 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.70/16.91 (assume a6369 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y)))))
% 16.70/16.91 (assume a6370 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y)))))
% 16.70/16.91 (assume a6371 (forall ((X tptp.real) (K tptp.nat)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) K))))
% 16.70/16.91 (assume a6372 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sqrt X)))))
% 16.70/16.91 (assume a6373 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N))))))
% 16.70/16.91 (assume a6374 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N))))))
% 16.70/16.91 (assume a6375 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N))))))
% 16.70/16.91 (assume a6376 (forall ((A tptp.nat) (B 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_se1412395901928357646or_nat A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N))))))
% 16.70/16.91 (assume a6377 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N))))))
% 16.70/16.91 (assume a6378 (forall ((M tptp.nat) (A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (= M N))))))
% 16.70/16.91 (assume a6379 (forall ((M tptp.nat) (A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (= M N))))))
% 16.70/16.91 (assume a6380 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N))))))
% 16.70/16.91 (assume a6381 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.91 (assume a6382 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.91 (assume a6383 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.70/16.91 (assume a6384 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.70/16.91 (assume a6385 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) N)) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6386 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) N)) (= N tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6387 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt X))))))
% 16.70/16.91 (assume a6388 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt X))))))
% 16.70/16.91 (assume a6389 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6390 (forall ((A tptp.int) (B tptp.int)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N3))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int A) B)))))
% 16.70/16.91 (assume a6391 (forall ((A tptp.nat) (B tptp.nat)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N3))))) (= (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.bit_se1412395901928357646or_nat A) B)))))
% 16.70/16.91 (assume a6392 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt X))))))
% 16.70/16.91 (assume a6393 (forall ((M tptp.nat) (A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 16.70/16.91 (assume a6394 (forall ((M tptp.nat) (A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 16.70/16.91 (assume a6395 (forall ((B tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.zero_n356916108424825756nteger B)) N)) (and (tptp.pp B) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6396 (forall ((B tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B)) N)) (and (tptp.pp B) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6397 (forall ((B tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.zero_n2687167440665602831ol_nat B)) N)) (and (tptp.pp B) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6398 (forall ((A tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real A)))))
% 16.70/16.91 (assume a6399 (forall ((A tptp.int) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))
% 16.70/16.91 (assume a6400 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt X)))))
% 16.70/16.91 (assume a6401 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))))
% 16.70/16.91 (assume a6402 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)))))))
% 16.70/16.91 (assume a6403 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) tptp.one_one_int)) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 16.70/16.91 (assume a6404 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) X))))
% 16.70/16.91 (assume a6405 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.91 (assume a6406 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.insert_nat M (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.91 (assume a6407 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))))))
% 16.70/16.91 (assume a6408 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N) (tptp.insert_nat M (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N))))))
% 16.70/16.91 (assume a6409 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) A) (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.if_fun5757141600869472092nt_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N) tptp.bit_se4203085406695923979it_int tptp.bit_se7879613467334960850it_int) N) A))))
% 16.70/16.91 (assume a6410 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_fun6060303171108177060at_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N) tptp.bit_se4205575877204974255it_nat tptp.bit_se7882103937844011126it_nat) N) A))))
% 16.70/16.91 (assume a6411 (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)))))
% 16.70/16.91 (assume a6412 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) B)))))))
% 16.70/16.91 (assume a6413 (forall ((N tptp.nat) (M tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) K)))))))
% 16.70/16.91 (assume a6414 (forall ((M tptp.nat) (K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_concat_bit M K) L)) N)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 16.70/16.91 (assume a6415 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.bit_concat_bit N K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))))
% 16.70/16.91 (assume a6416 (forall ((N tptp.nat) (A tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 16.70/16.91 (assume a6417 (forall ((N tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 16.70/16.91 (assume a6418 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 16.70/16.91 (assume a6419 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 16.70/16.91 (assume a6420 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 16.70/16.91 (assume a6421 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6422 (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) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6423 (forall ((A tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.70/16.91 (assume a6424 (forall ((A tptp.code_integer)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N3)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.70/16.91 (assume a6425 (forall ((A tptp.int)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.70/16.91 (assume a6426 (forall ((A tptp.nat)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.70/16.91 (assume a6427 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.70/16.91 (assume a6428 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.70/16.91 (assume a6429 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a6430 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 16.70/16.91 (assume a6431 (forall ((K tptp.int)) (not (forall ((N3 tptp.nat)) (=> (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N3) M2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N3))))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N3) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N3)))))))))))
% 16.70/16.91 (assume a6432 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 16.70/16.91 (assume a6433 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.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))) N))))))))
% 16.70/16.91 (assume a6434 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.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))))))))
% 16.70/16.91 (assume a6435 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.91 (assume a6436 (forall ((A tptp.int) (N tptp.nat)) (= (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 16.70/16.91 (assume a6437 (forall ((A tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 16.70/16.91 (assume a6438 (forall ((Y tptp.real) (X tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.sqrt X) Y)))))
% 16.70/16.91 (assume a6439 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) Y)))))))
% 16.70/16.91 (assume a6440 (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)))))
% 16.70/16.91 (assume a6441 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Y) (= X tptp.zero_zero_real))))
% 16.70/16.91 (assume a6442 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (= Y tptp.zero_zero_real))))
% 16.70/16.91 (assume a6443 (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_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) D)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.91 (assume a6444 (forall ((Y tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6445 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6446 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 16.70/16.91 (assume a6447 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real B)) (tptp.aa_real_real tptp.ln_ln_real A))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))))))))))
% 16.70/16.91 (assume a6448 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.divide_divide_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.91 (assume a6449 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6450 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6451 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6452 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.minus_8373710615458151222nteger A tptp.one_one_Code_integer)) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6453 (forall ((A tptp.int) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.one_one_int)) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6454 (forall ((A tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.one_one_nat)) N)) (= N tptp.zero_zero_nat))))))
% 16.70/16.91 (assume a6455 (forall ((N tptp.nat) (Z tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) (tptp.aa_nat_set_nat tptp.nat_set_decode Z)))) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) Z)) (tptp.insert_nat N (tptp.aa_nat_set_nat tptp.nat_set_decode Z))))))
% 16.70/16.91 (assume a6456 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) Y)))))))
% 16.70/16.91 (assume a6457 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))))
% 16.70/16.91 (assume a6458 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.91 (assume a6459 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real Y))))))
% 16.70/16.91 (assume a6460 (forall ((Y tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6461 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6462 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a6463 (forall ((A tptp.code_integer) (B tptp.code_integer) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.70/16.91 (assume a6464 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.70/16.91 (assume a6465 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.70/16.91 (assume a6466 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.70/16.91 (assume a6467 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.70/16.91 (assume a6468 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.70/16.91 (assume a6469 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 16.70/16.91 (assume a6470 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6471 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.91 (assume a6472 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6473 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((K2 tptp.int) (L3 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int K2) L3))) (=> (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.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 K2) (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 K2) L3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 16.70/16.91 (assume a6474 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.91 (assume a6475 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.91 (assume a6476 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) tptp.one_one_real))))
% 16.70/16.91 (assume a6477 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))
% 16.70/16.91 (assume a6478 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (= (tptp.aa_real_real tptp.arcosh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))))
% 16.70/16.91 (assume a6479 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 16.70/16.91 (assume a6480 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))))
% 16.70/16.91 (assume a6481 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((I4 tptp.int) (J2 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int I4) J2))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I4) 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 I4) tptp.one_one_int)) J2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I4) J2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 16.70/16.91 (assume a6482 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 16.70/16.91 (assume a6483 (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)))))))
% 16.70/16.91 (assume a6484 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))))))))))))
% 16.70/16.91 (assume a6485 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6486 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X))))))))
% 16.70/16.91 (assume a6487 (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))))
% 16.70/16.91 (assume a6488 (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))))
% 16.70/16.91 (assume a6489 (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))))
% 16.70/16.91 (assume a6490 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= M N))))
% 16.70/16.91 (assume a6491 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (= M N))))
% 16.70/16.91 (assume a6492 (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))))
% 16.70/16.91 (assume a6493 (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))))
% 16.70/16.91 (assume a6494 (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))))
% 16.70/16.91 (assume a6495 (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat))
% 16.70/16.91 (assume a6496 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 16.70/16.91 (assume a6497 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 16.70/16.91 (assume a6498 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 16.70/16.91 (assume a6499 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.zero_zero_nat) tptp.zero_zero_complex))
% 16.70/16.91 (assume a6500 (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger tptp.zero_zero_nat) tptp.zero_z3403309356797280102nteger))
% 16.70/16.91 (assume a6501 (forall ((N tptp.nat)) (= (= tptp.zero_z5237406670263579293d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6502 (forall ((N tptp.nat)) (= (= tptp.zero_zero_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6503 (forall ((N tptp.nat)) (= (= tptp.zero_zero_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6504 (forall ((N tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6505 (forall ((N tptp.nat)) (= (= tptp.zero_zero_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6506 (forall ((N tptp.nat)) (= (= tptp.zero_z3403309356797280102nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (= tptp.zero_zero_nat N))))
% 16.70/16.91 (assume a6507 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M) tptp.zero_z5237406670263579293d_enat) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6508 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) tptp.zero_zero_real) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6509 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) tptp.zero_zero_int) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6510 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M) tptp.zero_zero_nat) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6511 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M) tptp.zero_zero_complex) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6512 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) tptp.zero_z3403309356797280102nteger) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6513 (forall ((N tptp.num)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat N))))
% 16.70/16.91 (assume a6514 (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))))
% 16.70/16.91 (assume a6515 (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))))
% 16.70/16.91 (assume a6516 (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))))
% 16.70/16.91 (assume a6517 (forall ((N tptp.num)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera6690914467698888265omplex N))))
% 16.70/16.91 (assume a6518 (forall ((N tptp.num)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera6620942414471956472nteger N))))
% 16.70/16.91 (assume a6519 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 16.70/16.91 (assume a6520 (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)))))
% 16.70/16.91 (assume a6521 (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)))))
% 16.70/16.91 (assume a6522 (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)))))
% 16.70/16.91 (assume a6523 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 16.70/16.91 (assume a6524 (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)))))
% 16.70/16.91 (assume a6525 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 16.70/16.91 (assume a6526 (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)))))
% 16.70/16.91 (assume a6527 (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)))))
% 16.70/16.91 (assume a6528 (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)))))
% 16.70/16.91 (assume a6529 (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)))))
% 16.70/16.91 (assume a6530 (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)))))
% 16.70/16.91 (assume a6531 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 16.70/16.91 (assume a6532 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6533 (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)))))
% 16.70/16.91 (assume a6534 (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)))))
% 16.70/16.91 (assume a6535 (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)))))
% 16.70/16.91 (assume a6536 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 16.70/16.91 (assume a6537 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6538 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) tptp.one_on7984719198319812577d_enat) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6539 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.one_one_real) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6540 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.one_one_int) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6541 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.one_one_nat) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6542 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.one_one_complex) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6543 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6544 (forall ((N tptp.nat)) (= (= tptp.one_on7984719198319812577d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6545 (forall ((N tptp.nat)) (= (= tptp.one_one_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6546 (forall ((N tptp.nat)) (= (= tptp.one_one_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6547 (forall ((N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6548 (forall ((N tptp.nat)) (= (= tptp.one_one_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6549 (forall ((N tptp.nat)) (= (= tptp.one_one_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (= N tptp.one_one_nat))))
% 16.70/16.91 (assume a6550 (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat tptp.one_one_nat) tptp.one_on7984719198319812577d_enat))
% 16.70/16.91 (assume a6551 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat) tptp.one_one_real))
% 16.70/16.91 (assume a6552 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 16.70/16.91 (assume a6553 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.one_one_nat) tptp.one_one_nat))
% 16.70/16.91 (assume a6554 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.one_one_nat) tptp.one_one_complex))
% 16.70/16.91 (assume a6555 (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger tptp.one_one_nat) tptp.one_one_Code_integer))
% 16.70/16.91 (assume a6556 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) N))))
% 16.70/16.91 (assume a6557 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) N))))
% 16.70/16.91 (assume a6558 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) N))))
% 16.70/16.91 (assume a6559 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) N))))
% 16.70/16.91 (assume a6560 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) N))))
% 16.70/16.91 (assume a6561 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X))))
% 16.70/16.91 (assume a6562 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X))))
% 16.70/16.91 (assume a6563 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X))))
% 16.70/16.91 (assume a6564 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B)) W) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X))))
% 16.70/16.91 (assume a6565 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X))))
% 16.70/16.91 (assume a6566 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.70/16.91 (assume a6567 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.70/16.91 (assume a6568 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.70/16.91 (assume a6569 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.70/16.91 (assume a6570 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.70/16.91 (assume a6571 (forall ((P tptp.bool)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n3304061248610475627l_real P))))
% 16.70/16.91 (assume a6572 (forall ((P tptp.bool)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n1201886186963655149omplex P))))
% 16.70/16.91 (assume a6573 (forall ((P tptp.bool)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat P))))
% 16.70/16.91 (assume a6574 (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))))
% 16.70/16.91 (assume a6575 (forall ((P tptp.bool)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n356916108424825756nteger P))))
% 16.70/16.91 (assume a6576 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) tptp.zero_z5237406670263579293d_enat)) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6577 (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))))
% 16.70/16.91 (assume a6578 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) tptp.zero_z3403309356797280102nteger)) (= M tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6579 (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))))
% 16.70/16.91 (assume a6580 (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))))
% 16.70/16.91 (assume a6581 (forall ((M tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)))))
% 16.70/16.91 (assume a6582 (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)))))
% 16.70/16.91 (assume a6583 (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)))))
% 16.70/16.91 (assume a6584 (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)))))
% 16.70/16.91 (assume a6585 (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)))))
% 16.70/16.91 (assume a6586 (forall ((M tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat tptp.suc M)) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)))))
% 16.70/16.91 (assume a6587 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.70/16.91 (assume a6588 (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)))))
% 16.70/16.91 (assume a6589 (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)))))
% 16.70/16.91 (assume a6590 (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)))))
% 16.70/16.91 (assume a6591 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.70/16.91 (assume a6592 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) N) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6593 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6594 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6595 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6596 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6597 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X)) N) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 16.70/16.91 (assume a6598 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Y) (tptp.aa_nat_Extended_enat (tptp.power_8040749407984259932d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6599 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6600 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6601 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6602 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6603 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Y) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 16.70/16.91 (assume a6604 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6605 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6606 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6607 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6608 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6609 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6610 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6611 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6612 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6613 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6614 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6615 (forall ((B tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X)))))
% 16.70/16.91 (assume a6616 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6617 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6618 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6619 (forall ((X tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.70/16.91 (assume a6620 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) N)))))
% 16.70/16.91 (assume a6621 (forall ((N tptp.nat) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.70/16.91 (assume a6622 (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)))))
% 16.70/16.91 (assume a6623 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6624 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6625 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6626 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6627 (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.aa_real_fun_nat_real tptp.power_power_real A) B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B))))))
% 16.70/16.91 (assume a6628 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I2)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6629 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I2)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6630 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6631 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I2)) N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6632 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6633 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6634 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6635 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6636 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I2)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6637 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I2)) N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6638 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6639 (forall ((I2 tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I2)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N)) X)))))
% 16.70/16.91 (assume a6640 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6641 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6642 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6643 (forall ((X tptp.nat) (I2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I2)) N))))))
% 16.70/16.91 (assume a6644 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a6645 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a6646 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a6647 (forall ((X tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))))))
% 16.70/16.91 (assume a6648 (forall ((X tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))))))
% 16.70/16.91 (assume a6649 (forall ((X tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)))))
% 16.70/16.91 (assume a6650 (forall ((X tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)))))
% 16.70/16.91 (assume a6651 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)))))
% 16.70/16.91 (assume a6652 (forall ((X tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)))))
% 16.70/16.91 (assume a6653 (forall ((X tptp.nat) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)) Y) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger Y) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X)))))
% 16.70/16.91 (assume a6654 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)))))
% 16.70/16.91 (assume a6655 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)))))
% 16.70/16.91 (assume a6656 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)))))
% 16.70/16.91 (assume a6657 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 16.70/16.91 (assume a6658 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 16.70/16.91 (assume a6659 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 16.70/16.91 (assume a6660 (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))))))
% 16.70/16.91 (assume a6661 (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))))
% 16.70/16.91 (assume a6662 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)))))
% 16.70/16.91 (assume a6663 (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)))))
% 16.70/16.91 (assume a6664 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6665 (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)))))
% 16.70/16.91 (assume a6666 (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)))))
% 16.70/16.91 (assume a6667 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.91 (assume a6668 (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)))))
% 16.70/16.91 (assume a6669 (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)))))
% 16.70/16.91 (assume a6670 (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)))))
% 16.70/16.91 (assume a6671 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.91 (assume a6672 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.91 (assume a6673 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real))))
% 16.70/16.91 (assume a6674 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int))))
% 16.70/16.91 (assume a6675 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6676 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_complex))))
% 16.70/16.91 (assume a6677 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat tptp.suc N)) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.91 (assume a6678 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (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_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.divide_divide_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)))))
% 16.70/16.91 (assume a6679 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.70/16.91 (assume a6680 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6681 (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N))))))
% 16.70/16.91 (assume a6682 (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))))))
% 16.70/16.91 (assume a6683 (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))))))
% 16.70/16.91 (assume a6684 (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))))))
% 16.70/16.91 (assume a6685 (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_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))))))
% 16.70/16.91 (assume a6686 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 16.70/16.91 (assume a6687 (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)))))
% 16.70/16.91 (assume a6688 (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)))))
% 16.70/16.91 (assume a6689 (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)))))
% 16.70/16.91 (assume a6690 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 16.70/16.91 (assume a6691 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real I2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real J))))))
% 16.70/16.91 (assume a6692 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) J)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger I2)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger J))))))
% 16.70/16.91 (assume a6693 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) 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 I2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat J))))))
% 16.70/16.91 (assume a6694 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) 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 I2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int J))))))
% 16.70/16.91 (assume a6695 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.70/16.91 (assume a6696 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.70/16.91 (assume a6697 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6698 (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)))))
% 16.70/16.91 (assume a6699 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)))))
% 16.70/16.91 (assume a6700 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)))))
% 16.70/16.91 (assume a6701 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.pi)))
% 16.70/16.91 (assume a6702 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) tptp.zero_zero_real))))
% 16.70/16.91 (assume a6703 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.pi)))
% 16.70/16.91 (assume a6704 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.70/16.91 (assume a6705 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.70/16.91 (assume a6706 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6707 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y)) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat X)) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Y)))))
% 16.70/16.91 (assume a6708 (forall ((X 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 X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.ord_max_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)))))
% 16.70/16.91 (assume a6709 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)))))
% 16.70/16.91 (assume a6710 (forall ((X 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 X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)))))
% 16.70/16.91 (assume a6711 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Y)) (tptp.ord_max_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger X) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Y)))))
% 16.70/16.91 (assume a6712 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)))))
% 16.70/16.91 (assume a6713 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)))))
% 16.70/16.91 (assume a6714 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)))))
% 16.70/16.91 (assume a6715 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N)) (tptp.bit_se3949692690581998587nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6716 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.70/16.91 (assume a6717 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.70/16.91 (assume a6718 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N)) (tptp.bit_se1080825931792720795nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)))))
% 16.70/16.91 (assume a6719 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.70/16.91 (assume a6720 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.70/16.91 (assume a6721 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_Code_integer tptp.bit_se2119862282449309892nteger N))))
% 16.70/16.91 (assume a6722 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))
% 16.70/16.91 (assume a6723 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 16.70/16.91 (assume a6724 (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))))))
% 16.70/16.91 (assume a6725 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) X)))))))
% 16.70/16.91 (assume a6726 (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))))))
% 16.70/16.91 (assume a6727 (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))))))
% 16.70/16.91 (assume a6728 (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))))))
% 16.70/16.91 (assume a6729 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))))))
% 16.70/16.91 (assume a6730 (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_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))))))
% 16.70/16.91 (assume a6731 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) N))))
% 16.70/16.91 (assume a6732 (forall ((X tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) N))))
% 16.70/16.91 (assume a6733 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) N))))
% 16.70/16.91 (assume a6734 (forall ((N tptp.nat) (X tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) X)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) N))))
% 16.70/16.91 (assume a6735 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (forall ((Y2 tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) X))))))))
% 16.70/16.91 (assume a6736 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))))))
% 16.70/16.91 (assume a6737 (forall ((D tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D))))))
% 16.70/16.91 (assume a6738 (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))))))
% 16.70/16.91 (assume a6739 (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))))))
% 16.70/16.91 (assume a6740 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M))))))
% 16.70/16.91 (assume a6741 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.70/16.91 (assume a6742 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 16.70/16.91 (assume a6743 (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))))))
% 16.70/16.91 (assume a6744 (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))))))
% 16.70/16.91 (assume a6745 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)))
% 16.70/16.91 (assume a6746 (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))))))
% 16.70/16.91 (assume a6747 (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6748 (forall ((M tptp.nat) (B tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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)))))))
% 16.70/16.91 (assume a6749 (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.aa_real_fun_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)))))))
% 16.70/16.91 (assume a6750 (forall ((X tptp.nat) (D tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) D))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D))))))
% 16.70/16.91 (assume a6751 (forall ((E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N3 tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))) E))))))))
% 16.70/16.91 (assume a6752 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.91 (assume a6753 (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)))))
% 16.70/16.91 (assume a6754 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_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)))))
% 16.70/16.91 (assume a6755 (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))))))))
% 16.70/16.91 (assume a6756 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N) (tptp.aa_real_real tptp.exp_real X)))))
% 16.70/16.91 (assume a6757 (forall ((N tptp.nat) (X tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))) N) (tptp.aa_complex_complex tptp.exp_complex X)))))
% 16.70/16.91 (assume a6758 (forall ((X tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M5)) (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 M5)) X)) C)))) (= X tptp.zero_zero_real))))))
% 16.70/16.91 (assume a6759 (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6760 (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)))))
% 16.70/16.91 (assume a6761 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6762 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X)))))))
% 16.70/16.91 (assume a6763 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X)))) tptp.one_one_real))))
% 16.70/16.91 (assume a6764 (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.aa_real_fun_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)))))))
% 16.70/16.91 (assume a6765 (forall ((A tptp.real) (N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.70/16.91 (assume a6766 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.91 (assume a6767 (forall ((X 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))))))
% 16.70/16.91 (assume a6768 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.91 (assume a6769 (forall ((M tptp.nat) (N tptp.nat)) (=> (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))))))
% 16.70/16.91 (assume a6770 (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))))))
% 16.70/16.91 (assume a6771 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6772 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) tptp.one_one_real)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) N))))))
% 16.70/16.91 (assume a6773 (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.aa_real_fun_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))))))))
% 16.70/16.91 (assume a6774 (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)))
% 16.70/16.91 (assume a6775 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) N))))))
% 16.70/16.91 (assume a6776 (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)))))))
% 16.70/16.91 (assume a6777 (= (tptp.aa_real_real tptp.arctan tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.91 (assume a6778 (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.aa_real_fun_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))))))))
% 16.70/16.91 (assume a6779 (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)))
% 16.70/16.91 (assume a6780 (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))))))))
% 16.70/16.91 (assume a6781 (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)))))
% 16.70/16.91 (assume a6782 (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)))))))
% 16.70/16.91 (assume a6783 (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)))))))
% 16.70/16.91 (assume a6784 (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)))))))
% 16.70/16.91 (assume a6785 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) N))))))
% 16.70/16.91 (assume a6786 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real X)))))))
% 16.70/16.91 (assume a6787 (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_ee (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6788 (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_ef) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6789 (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_eg) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6790 (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.aa_Pro82899191565270131omplex (tptp.produc1917071388513777916omplex tptp.aTP_Lamm_eh) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6791 (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_ei (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6792 (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_ej) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6793 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ek X)))))
% 16.70/16.91 (assume a6794 (forall ((H tptp.real) (Z tptp.real) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) N))) H)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real H)))))))))
% 16.70/16.91 (assume a6795 (forall ((H tptp.complex) (Z tptp.complex) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H)) N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) N))) H)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex H)))))))))
% 16.70/16.91 (assume a6796 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.70/16.91 (assume a6797 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_el X)))))))
% 16.70/16.91 (assume a6798 (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)))))
% 16.70/16.91 (assume a6799 (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)))))
% 16.70/16.91 (assume a6800 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.91 (assume a6801 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.pi) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.91 (assume a6802 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6803 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6804 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6805 (forall ((F tptp.fun_nat_complex)) (= (tptp.suminf_complex (tptp.aTP_Lamm_em F)) (tptp.aa_nat_complex F tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6806 (forall ((F tptp.fun_nat_real)) (= (tptp.suminf_real (tptp.aTP_Lamm_en F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))
% 16.70/16.91 (assume a6807 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.zero_zero_real))
% 16.70/16.91 (assume a6808 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 16.70/16.91 (assume a6809 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.sin_real X))))
% 16.70/16.91 (assume a6810 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6811 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.91 (assume a6812 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6813 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.70/16.91 (assume a6814 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) X)))))
% 16.70/16.91 (assume a6815 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) tptp.one_one_real))))
% 16.70/16.91 (assume a6816 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sin_real X))) (tptp.aa_real_real tptp.abs_abs_real X)))))
% 16.70/16.91 (assume a6817 (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))))
% 16.70/16.91 (assume a6818 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.91 (assume a6819 (forall ((Z tptp.int)) (=> (forall ((N3 tptp.nat)) (not (= Z (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (not (forall ((N3 tptp.nat)) (not (= Z (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3))))))))))
% 16.70/16.91 (assume a6820 (forall ((P tptp.fun_int_bool) (Z tptp.int)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_int_bool P Z))))))
% 16.70/16.91 (assume a6821 (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))))))
% 16.70/16.91 (assume a6822 (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)))))
% 16.70/16.91 (assume a6823 (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))))))
% 16.70/16.91 (assume a6824 (forall ((B tptp.complex) (A tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex B) A))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)))))
% 16.70/16.91 (assume a6825 (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))))
% 16.70/16.91 (assume a6826 (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)))))
% 16.70/16.91 (assume a6827 (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)))))
% 16.70/16.91 (assume a6828 (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)))))
% 16.70/16.91 (assume a6829 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 16.70/16.91 (assume a6830 (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.divide_divide_nat A) B)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))))
% 16.70/16.91 (assume a6831 (forall ((X2 tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) Xa)) (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.semiri1314217659103216013at_int Xa))))))
% 16.70/16.91 (assume a6832 (forall ((X2 tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) 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 X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.70/16.91 (assume a6833 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 16.70/16.91 (assume a6834 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.sin_real X))))))
% 16.70/16.91 (assume a6835 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 16.70/16.91 (assume a6836 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.91 (assume a6837 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sin_real X))) tptp.one_one_real))))
% 16.70/16.91 (assume a6838 (forall ((M tptp.int)) (=> (forall ((N3 tptp.nat)) (not (= M (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (not (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (not (= M (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))))))))))
% 16.70/16.91 (assume a6839 (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))))
% 16.70/16.91 (assume a6840 (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))))
% 16.70/16.91 (assume a6841 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)) (exists ((N5 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N5))))))))
% 16.70/16.91 (assume a6842 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real X))) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))))))
% 16.70/16.91 (assume a6843 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex X))) (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))))))
% 16.70/16.91 (assume a6844 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.pi)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))))
% 16.70/16.91 (assume a6845 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.pi)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6846 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((I5 tptp.int)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) tptp.pi))))))
% 16.70/16.91 (assume a6847 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))))))
% 16.70/16.91 (assume a6848 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)))))))))
% 16.70/16.91 (assume a6849 (forall ((K tptp.int)) (=> (not (= K tptp.zero_zero_int)) (=> (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3))))) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3))))))))))
% 16.70/16.91 (assume a6850 (forall ((I2 tptp.int) (J tptp.int) (K tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I2) 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)) I2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K)) J)))))))
% 16.70/16.91 (assume a6851 (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))))))))
% 16.70/16.91 (assume a6852 (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))))
% 16.70/16.91 (assume a6853 (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int)) (exists ((N3 tptp.nat)) (= X (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3))))))))
% 16.70/16.91 (assume a6854 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 16.70/16.91 (assume a6855 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)))))))))
% 16.70/16.91 (assume a6856 (forall ((P tptp.fun_int_bool) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) Y)))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 16.70/16.91 (assume a6857 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aa_real_fun_nat_real tptp.power_power_real X))))))
% 16.70/16.91 (assume a6858 (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))))))))
% 16.70/16.91 (assume a6859 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6860 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 16.70/16.91 (assume a6861 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a6862 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6863 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.sin_real Y)) (= X Y))))))))
% 16.70/16.91 (assume a6864 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))))
% 16.70/16.91 (assume a6865 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X))))))))
% 16.70/16.91 (assume a6866 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.91 (assume a6867 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a6868 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.91 (assume a6869 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.pi) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a6870 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 16.70/16.91 (assume a6871 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))))
% 16.70/16.91 (assume a6872 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X))))))))
% 16.70/16.91 (assume a6873 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_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.sin_real X4) Y) (forall ((Y2 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) (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 Y2) Y)) (= Y2 X4)))))))))
% 16.70/16.91 (assume a6874 (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))))))))
% 16.70/16.91 (assume a6875 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.91 (assume a6876 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))))
% 16.70/16.91 (assume a6877 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))))
% 16.70/16.91 (assume a6878 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((I5 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))) I5)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) (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))))))))))
% 16.70/16.91 (assume a6879 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.70/16.91 (assume a6880 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (or (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.70/16.91 (assume a6881 (= (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_eo)))
% 16.70/16.91 (assume a6882 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arctan X) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X))))))
% 16.70/16.91 (assume a6883 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.91 (assume a6884 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.91 (assume a6885 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.91 (assume a6886 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.91 (assume a6887 (forall ((W tptp.num) (A tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)))))
% 16.70/16.91 (assume a6888 (forall ((W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)))))
% 16.70/16.91 (assume a6889 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.70/16.91 (assume a6890 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.70/16.91 (assume a6891 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) tptp.zero_zero_real)) (= X tptp.zero_zero_real))))
% 16.70/16.91 (assume a6892 (forall ((X tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real)) (= X tptp.zero_zero_complex))))
% 16.70/16.91 (assume a6893 (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.91 (assume a6894 (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex tptp.one_one_complex) tptp.one_one_real))
% 16.70/16.91 (assume a6895 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.70/16.91 (assume a6896 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.70/16.91 (assume a6897 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) (not (= X tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6898 (forall ((X tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (not (= X tptp.zero_zero_complex)))))
% 16.70/16.91 (assume a6899 (forall ((X tptp.complex)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6900 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.91 (assume a6901 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)))))
% 16.70/16.91 (assume a6902 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)))))
% 16.70/16.91 (assume a6903 (forall ((A tptp.real) (B tptp.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)))))
% 16.70/16.91 (assume a6904 (forall ((A tptp.complex) (B tptp.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)))))
% 16.70/16.91 (assume a6905 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) N))))
% 16.70/16.91 (assume a6906 (forall ((X tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) N))))
% 16.70/16.91 (assume a6907 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))
% 16.70/16.91 (assume a6908 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)))))
% 16.70/16.91 (assume a6909 (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))))))
% 16.70/16.91 (assume a6910 (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))))))
% 16.70/16.91 (assume a6911 (forall ((W tptp.real) (N tptp.nat) (Z tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))
% 16.70/16.91 (assume a6912 (forall ((W tptp.complex) (N tptp.nat) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) (tptp.aa_nat_complex (tptp.power_power_complex Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 16.70/16.91 (assume a6913 (forall ((X tptp.real) (R tptp.real) (Y tptp.real) (S3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) S3)))))))
% 16.70/16.91 (assume a6914 (forall ((X tptp.complex) (R tptp.real) (Y tptp.complex) (S3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) S3)))))))
% 16.70/16.91 (assume a6915 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 16.70/16.91 (assume a6916 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 16.70/16.91 (assume a6917 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) E)))))
% 16.70/16.91 (assume a6918 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) E)))))
% 16.70/16.91 (assume a6919 (forall ((X tptp.real) (R tptp.real) (Y tptp.real) (S3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R) S3)))))))
% 16.70/16.91 (assume a6920 (forall ((X tptp.complex) (R tptp.real) (Y tptp.complex) (S3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R) S3)))))))
% 16.70/16.91 (assume a6921 (forall ((X tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) N)))))
% 16.70/16.91 (assume a6922 (forall ((X tptp.complex) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) N)))))
% 16.70/16.91 (assume a6923 (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))))))
% 16.70/16.91 (assume a6924 (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))))))
% 16.70/16.91 (assume a6925 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) E)))))
% 16.70/16.91 (assume a6926 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) E)))))
% 16.70/16.91 (assume a6927 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 16.70/16.91 (assume a6928 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 16.70/16.91 (assume a6929 (forall ((A tptp.real) (R tptp.real) (B tptp.real) (S3 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)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B)) S3)) (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 R) S3)))))))
% 16.70/16.91 (assume a6930 (forall ((A tptp.complex) (R tptp.real) (B tptp.complex) (S3 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)) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) S3)) (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 R) S3)))))))
% 16.70/16.91 (assume a6931 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 16.70/16.91 (assume a6932 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 16.70/16.91 (assume a6933 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E)))))
% 16.70/16.91 (assume a6934 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E)))))
% 16.70/16.91 (assume a6935 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 16.70/16.91 (assume a6936 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 16.70/16.91 (assume a6937 (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.real_V7735802525324610683m_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.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B))))))
% 16.70/16.91 (assume a6938 (forall ((A tptp.complex) (B tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B))))))
% 16.70/16.91 (assume a6939 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)))))))
% 16.70/16.91 (assume a6940 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)))))))
% 16.70/16.91 (assume a6941 (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))))))
% 16.70/16.91 (assume a6942 (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))))))
% 16.70/16.91 (assume a6943 (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.minus_minus_real A) B))))))
% 16.70/16.91 (assume a6944 (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.minus_minus_complex A) B))))))
% 16.70/16.91 (assume a6945 (forall ((W tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) N) tptp.one_one_real) (or (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6946 (forall ((W tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) tptp.one_one_complex) (or (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 16.70/16.91 (assume a6947 (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)))))))
% 16.70/16.91 (assume a6948 (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)))))))
% 16.70/16.91 (assume a6949 (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.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.minus_minus_real A) B))))))
% 16.70/16.91 (assume a6950 (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.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))))
% 16.70/16.91 (assume a6951 (forall ((X tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real X) tptp.one_one_real))))
% 16.70/16.91 (assume a6952 (forall ((X tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X) tptp.one_one_real))))
% 16.70/16.91 (assume a6953 (forall ((Z tptp.real) (W tptp.real) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) M)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) W)))))))))
% 16.70/16.91 (assume a6954 (forall ((Z tptp.complex) (W tptp.complex) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) M)) (tptp.aa_nat_complex (tptp.power_power_complex W) M)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)))))))))
% 16.70/16.91 (assume a6955 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.power_power_real C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) C))))))
% 16.70/16.91 (assume a6956 (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))))))
% 16.70/16.91 (assume a6957 (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))))))))))
% 16.70/16.91 (assume a6958 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X)))))
% 16.70/16.91 (assume a6959 (forall ((M tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 16.70/16.91 (assume a6960 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (not (forall ((T4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (=> (= X (tptp.aa_real_real tptp.cos_real T4)) (not (= Y (tptp.aa_real_real tptp.sin_real T4)))))))))))
% 16.70/16.91 (assume a6961 (forall ((X tptp.real)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_real tptp.ring_1_of_int_real N5))))))
% 16.70/16.91 (assume a6962 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (= (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_eq F) K)) (tptp.summable_real F))))
% 16.70/16.91 (assume a6963 (= (tptp.aa_complex_complex tptp.cos_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 16.70/16.91 (assume a6964 (= (tptp.aa_real_real tptp.cos_real tptp.zero_zero_real) tptp.one_one_real))
% 16.70/16.91 (assume a6965 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 16.70/16.91 (assume a6966 (= (tptp.aa_real_int tptp.archim7802044766580827645g_real tptp.one_one_real) tptp.one_one_int))
% 16.70/16.91 (assume a6967 (forall ((C tptp.complex) (F tptp.fun_nat_complex)) (= (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_er C) F)) (or (= C tptp.zero_zero_complex) (tptp.summable_complex F)))))
% 16.70/16.91 (assume a6968 (forall ((C tptp.real) (F tptp.fun_nat_real)) (= (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es C) F)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 16.70/16.91 (assume a6969 (forall ((F tptp.fun_nat_real) (C tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_et F) C)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 16.70/16.91 (assume a6970 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_eu F) C)) (or (= C tptp.zero_zero_complex) (tptp.summable_complex F)))))
% 16.70/16.91 (assume a6971 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z))))
% 16.70/16.91 (assume a6972 (= (tptp.aa_real_real tptp.cos_real tptp.pi) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.70/16.91 (assume a6973 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.91 (assume a6974 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.pi) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.91 (assume a6975 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex X))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.sin_complex X))) tptp.one_one_complex)))
% 16.70/16.91 (assume a6976 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real X))) tptp.one_one_real)))
% 16.70/16.91 (assume a6977 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.91 (assume a6978 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.91 (assume a6979 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 16.70/16.91 (assume a6980 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a6981 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real V)) X)))))
% 16.70/16.92 (assume a6982 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.92 (assume a6983 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a6984 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)))))
% 16.70/16.92 (assume a6985 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 16.70/16.92 (assume a6986 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 16.70/16.92 (assume a6987 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 16.70/16.92 (assume a6988 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 16.70/16.92 (assume a6989 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 16.70/16.92 (assume a6990 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 16.70/16.92 (assume a6991 (forall ((C tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_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)))))
% 16.70/16.92 (assume a6992 (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)))))
% 16.70/16.92 (assume a6993 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.70/16.92 (assume a6994 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a6995 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B))))))
% 16.70/16.92 (assume a6996 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real))))))
% 16.70/16.92 (assume a6997 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a6998 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))))))
% 16.70/16.92 (assume a6999 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) X)))))
% 16.70/16.92 (assume a7000 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 16.70/16.92 (assume a7001 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_real))
% 16.70/16.92 (assume a7002 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cos_real X))))
% 16.70/16.92 (assume a7003 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X)) (tptp.aa_real_real tptp.cos_real X))))
% 16.70/16.92 (assume a7004 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.70/16.92 (assume a7005 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.70/16.92 (assume a7006 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B))))))
% 16.70/16.92 (assume a7007 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.70/16.92 (assume a7008 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 16.70/16.92 (assume a7009 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.70/16.92 (assume a7010 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 16.70/16.92 (assume a7011 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.one_one_real)))
% 16.70/16.92 (assume a7012 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)))
% 16.70/16.92 (assume a7013 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real))))))
% 16.70/16.92 (assume a7014 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a7015 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) tptp.zero_zero_real))
% 16.70/16.92 (assume a7016 (forall ((N tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.70/16.92 (assume a7017 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N3)) (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 N3))) (tptp.aa_nat_real G N3)))))) (=> (tptp.summable_real G) (tptp.summable_real F)))))
% 16.70/16.92 (assume a7018 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N3)) (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 N3))) (tptp.aa_nat_real G N3)))))) (=> (tptp.summable_real G) (tptp.summable_complex F)))))
% 16.70/16.92 (assume a7019 (forall ((G tptp.fun_nat_real) (N2 tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.summable_real G) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) N3)) (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 N3))) (tptp.aa_nat_real G N3))))) (tptp.summable_real F)))))
% 16.70/16.92 (assume a7020 (forall ((G tptp.fun_nat_real) (N2 tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.summable_real G) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) N3)) (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 N3))) (tptp.aa_nat_real G N3))))) (tptp.summable_complex F)))))
% 16.70/16.92 (assume a7021 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.summable_complex F) (=> (tptp.summable_complex G) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ev F) G))))))
% 16.70/16.92 (assume a7022 (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_ew F) G))))))
% 16.70/16.92 (assume a7023 (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_ex F) G))))))
% 16.70/16.92 (assume a7024 (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_ey F) G))))))
% 16.70/16.92 (assume a7025 (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_eq F) K)))))
% 16.70/16.92 (assume a7026 (forall ((F tptp.fun_nat_real)) (= (tptp.summable_real (tptp.aTP_Lamm_ez F)) (tptp.summable_real F))))
% 16.70/16.92 (assume a7027 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_et F) C)))))
% 16.70/16.92 (assume a7028 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_eu F) C)))))
% 16.70/16.92 (assume a7029 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fa F) C)))))
% 16.70/16.92 (assume a7030 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fb F) C)))))
% 16.70/16.92 (assume a7031 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fc F) C)))))
% 16.70/16.92 (assume a7032 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fd F) C)))))
% 16.70/16.92 (assume a7033 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real G N3)))) (=> (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))))))))
% 16.70/16.92 (assume a7034 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat G N3)))) (=> (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))))))))
% 16.70/16.92 (assume a7035 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int G N3)))) (=> (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))))))))
% 16.70/16.92 (assume a7036 (forall ((C tptp.complex) (F tptp.fun_nat_complex)) (=> (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_er C) F)) (=> (not (= C tptp.zero_zero_complex)) (tptp.summable_complex F)))))
% 16.70/16.92 (assume a7037 (forall ((C tptp.real) (F tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es C) F)) (=> (not (= C tptp.zero_zero_real)) (tptp.summable_real F)))))
% 16.70/16.92 (assume a7038 (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real)))
% 16.70/16.92 (assume a7039 (tptp.summable_int (tptp.power_power_int tptp.zero_zero_int)))
% 16.70/16.92 (assume a7040 (tptp.summable_complex (tptp.power_power_complex tptp.zero_zero_complex)))
% 16.70/16.92 (assume a7041 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex F)) C) (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fc F) C))))))
% 16.70/16.92 (assume a7042 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.suminf_real F)) C) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fd F) C))))))
% 16.70/16.92 (assume a7043 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (= (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fa F) C)) (tptp.aa_complex_complex (tptp.times_times_complex C) (tptp.suminf_complex F))))))
% 16.70/16.92 (assume a7044 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fb F) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) (tptp.suminf_real F))))))
% 16.70/16.92 (assume a7045 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.summable_complex F) (=> (tptp.summable_complex G) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.suminf_complex F)) (tptp.suminf_complex G)) (tptp.suminf_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ev F) G)))))))
% 16.70/16.92 (assume a7046 (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_ew F) G)))))))
% 16.70/16.92 (assume a7047 (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_ex F) G)))))))
% 16.70/16.92 (assume a7048 (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_ey F) G)))))))
% 16.70/16.92 (assume a7049 (forall ((F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_et F) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.suminf_real F)) C)))))
% 16.70/16.92 (assume a7050 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (=> (tptp.summable_complex F) (= (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_eu F) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.suminf_complex F)) C)))))
% 16.70/16.92 (assume a7051 (forall ((F tptp.fun_nat_real) (X tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) X)) (=> (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 X))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ff F) Z))))))
% 16.70/16.92 (assume a7052 (forall ((F tptp.fun_nat_complex) (X tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) X)) (=> (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 X))) (tptp.summable_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_fh F) Z))))))
% 16.70/16.92 (assume a7053 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.suminf_real F)))))))
% 16.70/16.92 (assume a7054 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3)))) (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)))))))
% 16.70/16.92 (assume a7055 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3)))) (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)))))))
% 16.70/16.92 (assume a7056 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N3)))) (= (= (tptp.suminf_real F) tptp.zero_zero_real) (forall ((N5 tptp.nat)) (= (tptp.aa_nat_real F N5) tptp.zero_zero_real)))))))
% 16.70/16.92 (assume a7057 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3)))) (= (= (tptp.suminf_nat F) tptp.zero_zero_nat) (forall ((N5 tptp.nat)) (= (tptp.aa_nat_nat F N5) tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7058 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3)))) (= (= (tptp.suminf_int F) tptp.zero_zero_int) (forall ((N5 tptp.nat)) (= (tptp.aa_nat_int F N5) tptp.zero_zero_int)))))))
% 16.70/16.92 (assume a7059 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N3 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 N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F)))))))
% 16.70/16.92 (assume a7060 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F)))))))
% 16.70/16.92 (assume a7061 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F)))))))
% 16.70/16.92 (assume a7062 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real Y)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))))))
% 16.70/16.92 (assume a7063 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X))))))
% 16.70/16.92 (assume a7064 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_real_int tptp.archim7802044766580827645g_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.92 (assume a7065 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 16.70/16.92 (assume a7066 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_em F))))
% 16.70/16.92 (assume a7067 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_en F))))
% 16.70/16.92 (assume a7068 (forall ((F tptp.fun_nat_int)) (tptp.summable_int (tptp.aTP_Lamm_fi F))))
% 16.70/16.92 (assume a7069 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_em F))))
% 16.70/16.92 (assume a7070 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_en F))))
% 16.70/16.92 (assume a7071 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fj F) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z)))))
% 16.70/16.92 (assume a7072 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fk F) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) Z)))))
% 16.70/16.92 (assume a7073 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fj F) Z)))))
% 16.70/16.92 (assume a7074 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fk F) Z)))))
% 16.70/16.92 (assume a7075 (forall ((F tptp.fun_nat_complex) (M tptp.nat) (Z tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_fl F) M) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z)))))
% 16.70/16.92 (assume a7076 (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_fm F) M) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) Z)))))
% 16.70/16.92 (assume a7077 (forall ((X tptp.real) (Y tptp.real)) (exists ((R3 tptp.real) (A3 tptp.real)) (and (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R3) (tptp.aa_real_real tptp.cos_real A3))) (= Y (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R3) (tptp.aa_real_real tptp.sin_real A3)))))))
% 16.70/16.92 (assume a7078 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N3)) (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 N3))) (tptp.aa_nat_real G N3)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_fn F))))))
% 16.70/16.92 (assume a7079 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real F N3))) (tptp.aa_nat_real G N3)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_fo F))))))
% 16.70/16.92 (assume a7080 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_fo F)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.suminf_real F))) (tptp.suminf_real (tptp.aTP_Lamm_fo F)))))))
% 16.70/16.92 (assume a7081 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N3)))) (= (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)))))))))
% 16.70/16.92 (assume a7082 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3)))) (= (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)))))))))
% 16.70/16.92 (assume a7083 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3)))) (= (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)))))))))
% 16.70/16.92 (assume a7084 (forall ((F tptp.fun_nat_real) (I2 tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N3)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F))))))))
% 16.70/16.92 (assume a7085 (forall ((F tptp.fun_nat_nat) (I2 tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3)))) (=> (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 I2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F))))))))
% 16.70/16.92 (assume a7086 (forall ((F tptp.fun_nat_int) (I2 tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3)))) (=> (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 I2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F))))))))
% 16.70/16.92 (assume a7087 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.one_one_complex) (= (tptp.aa_complex_complex tptp.sin_complex X) tptp.zero_zero_complex))))
% 16.70/16.92 (assume a7088 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real))))
% 16.70/16.92 (assume a7089 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.sin_complex Y))))))
% 16.70/16.92 (assume a7090 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.70/16.92 (assume a7091 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.sin_complex Y))))))
% 16.70/16.92 (assume a7092 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.70/16.92 (assume a7093 (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.aa_real_fun_nat_real tptp.power_power_real C)))))
% 16.70/16.92 (assume a7094 (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)))))
% 16.70/16.92 (assume a7095 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) tptp.one_one_real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.power_power_real X)))))
% 16.70/16.92 (assume a7096 (forall ((X tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) tptp.one_one_real)) (tptp.summable_complex (tptp.power_power_complex X)))))
% 16.70/16.92 (assume a7097 (forall ((F tptp.fun_nat_complex)) (=> (tptp.summable_complex F) (= (tptp.suminf_complex (tptp.aTP_Lamm_fp F)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.suminf_complex F)) (tptp.aa_nat_complex F tptp.zero_zero_nat))))))
% 16.70/16.92 (assume a7098 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aTP_Lamm_ez 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))))))
% 16.70/16.92 (assume a7099 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.70/16.92 (assume a7100 (forall ((X tptp.real) (A tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) A)))))
% 16.70/16.92 (assume a7101 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 16.70/16.92 (assume a7102 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_real_int tptp.archim7802044766580827645g_real Y))))))
% 16.70/16.92 (assume a7103 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (=> (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real tptp.cos_real Y)) (= X Y))))))))
% 16.70/16.92 (assume a7104 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))))
% 16.70/16.92 (assume a7105 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.70/16.92 (assume a7106 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.92 (assume a7107 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.cos_real X))) tptp.one_one_real))))
% 16.70/16.92 (assume a7108 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq F)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.suminf_real F))) (tptp.suminf_real (tptp.aTP_Lamm_fq F)))))))
% 16.70/16.92 (assume a7109 (forall ((F tptp.fun_nat_complex)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn F)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.suminf_complex F))) (tptp.suminf_real (tptp.aTP_Lamm_fn F)))))))
% 16.70/16.92 (assume a7110 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.sin_complex Y))))))
% 16.70/16.92 (assume a7111 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.70/16.92 (assume a7112 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.sin_complex Y))))))
% 16.70/16.92 (assume a7113 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.70/16.92 (assume a7114 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 16.70/16.92 (assume a7115 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.sin_complex X) tptp.zero_zero_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.cos_complex X)) tptp.one_one_real))))
% 16.70/16.92 (assume a7116 (forall ((R tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R) tptp.one_one_real)))))
% 16.70/16.92 (assume a7117 (forall ((R tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R))) tptp.one_one_real)) R))))
% 16.70/16.92 (assume a7118 (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 16.70/16.92 (assume a7119 (forall ((F tptp.fun_nat_real) (X tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) X)) (=> (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 X))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) Z))))))
% 16.70/16.92 (assume a7120 (forall ((F tptp.fun_nat_complex) (X tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) X)) (=> (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 X))) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z))))))
% 16.70/16.92 (assume a7121 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.70/16.92 (assume a7122 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))))
% 16.70/16.92 (assume a7123 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real Y)) (tptp.aa_real_real tptp.cos_real X))))))))
% 16.70/16.92 (assume a7124 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_int_real tptp.ring_1_of_int_real B))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)))))
% 16.70/16.92 (assume a7125 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 16.70/16.92 (assume a7126 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z)) (= (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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_fj F) Z))) Z))))))
% 16.70/16.92 (assume a7127 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe F) Z)) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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_fk F) Z))) Z))))))
% 16.70/16.92 (assume a7128 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fj F) Z))) Z) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg F) Z))) (tptp.aa_nat_complex F tptp.zero_zero_nat))))))
% 16.70/16.92 (assume a7129 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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_fk 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_fe F) Z))) (tptp.aa_nat_real F tptp.zero_zero_nat))))))
% 16.70/16.92 (assume a7130 (forall ((R 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) R)) (=> (tptp.summable_real F) (exists ((N7 tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N8)) (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_eq F) N8)))) R)))))))))
% 16.70/16.92 (assume a7131 (forall ((R 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) R)) (=> (tptp.summable_complex F) (exists ((N7 tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N8)) (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_fr F) N8)))) R)))))))))
% 16.70/16.92 (assume a7132 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I4)) tptp.one_one_real))) (=> (forall ((I4 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 I4)))) (=> (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_fe F) Z))))))))
% 16.70/16.92 (assume a7133 (forall ((R tptp.real) (R0 tptp.real) (A tptp.fun_nat_complex) (M7 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R) R0)) (=> (forall ((N3 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 N3))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R0) N3))) M7))) (tptp.summable_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_fs R) A)))))))
% 16.70/16.92 (assume a7134 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex X))) (tptp.aa_complex_complex tptp.cos_complex X)))))
% 16.70/16.92 (assume a7135 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real X))) (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.92 (assume a7136 (forall ((X tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X)))))))
% 16.70/16.92 (assume a7137 (forall ((Z tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) Z)))))
% 16.70/16.92 (assume a7138 (forall ((X tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real A)))))))
% 16.70/16.92 (assume a7139 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim7802044766580827645g_real T))) (forall ((I5 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) tptp.one_one_real)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) (tptp.aa_int_real tptp.ring_1_of_int_real I5)))) (tptp.pp (tptp.aa_int_bool P I5)))))))
% 16.70/16.92 (assume a7140 (forall ((C tptp.real) (N2 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 ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) N3)) (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 N3)))) (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 N3))))))) (tptp.summable_real F)))))
% 16.70/16.92 (assume a7141 (forall ((C tptp.real) (N2 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 ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) N3)) (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 N3)))) (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 N3))))))) (tptp.summable_complex F)))))
% 16.70/16.92 (assume a7142 (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B))))))))
% 16.70/16.92 (assume a7143 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 16.70/16.92 (assume a7144 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a7145 (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)))
% 16.70/16.92 (assume a7146 (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_eq_real X4) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real X4) tptp.zero_zero_real) (forall ((Y2 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Y2) tptp.zero_zero_real)) (= Y2 X4))))))
% 16.70/16.92 (assume a7147 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 16.70/16.92 (assume a7148 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real Y)) (tptp.aa_real_real tptp.cos_real X))))))))
% 16.70/16.92 (assume a7149 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((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_eq_real X4) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real X4) Y) (forall ((Y2 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real Y2) Y)) (= Y2 X4)))))))))
% 16.70/16.92 (assume a7150 (forall ((X tptp.real)) (exists ((Y3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y3) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real Y3) (tptp.aa_real_real tptp.sin_real X)) (= (tptp.aa_real_real tptp.cos_real Y3) (tptp.aa_real_real tptp.cos_real X))))))
% 16.70/16.92 (assume a7151 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real P2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) Q2))))))
% 16.70/16.92 (assume a7152 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.92 (assume a7153 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))) tptp.one_one_real))))
% 16.70/16.92 (assume a7154 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7155 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7156 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7157 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7158 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7159 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7160 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7161 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7162 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) tptp.one_one_real)) Q2)) P2)))))
% 16.70/16.92 (assume a7163 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))))))
% 16.70/16.92 (assume a7164 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_real))))))
% 16.70/16.92 (assume a7165 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 16.70/16.92 (assume a7166 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.92 (assume a7167 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.92 (assume a7168 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (exists ((X3 tptp.int)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))
% 16.70/16.92 (assume a7169 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))))
% 16.70/16.92 (assume a7170 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))))
% 16.70/16.92 (assume a7171 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) X)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex X))))))
% 16.70/16.92 (assume a7172 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real tptp.cos_real X))))))
% 16.70/16.92 (assume a7173 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7174 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7175 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7176 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7177 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7178 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7179 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7180 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7181 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7182 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7183 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) W)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7184 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7185 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7186 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a7187 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 16.70/16.92 (assume a7188 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 16.70/16.92 (assume a7189 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (or (exists ((X3 tptp.nat)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))) (exists ((X3 tptp.nat)) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))))
% 16.70/16.92 (assume a7190 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7191 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7192 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7193 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) tptp.pi)) (= X (tptp.aa_real_real tptp.cos_real T4)) (= Y (tptp.aa_real_real tptp.sin_real T4))))))))
% 16.70/16.92 (assume a7194 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7195 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7196 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (exists ((I5 tptp.int)) (and (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) I5))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) (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))))))))))
% 16.70/16.92 (assume a7197 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (exists ((N3 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.70/16.92 (assume a7198 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (or (exists ((N5 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N5 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.70/16.92 (assume a7199 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7200 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= X (tptp.aa_real_real tptp.cos_real T4)) (= Y (tptp.aa_real_real tptp.sin_real T4)))))))))
% 16.70/16.92 (assume a7201 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (= X (tptp.aa_real_real tptp.cos_real T4)) (= Y (tptp.aa_real_real tptp.sin_real T4)))))))
% 16.70/16.92 (assume a7202 (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)))))))
% 16.70/16.92 (assume a7203 (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)))))
% 16.70/16.92 (assume a7204 (forall ((X tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.tan_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7205 (forall ((X tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.tan_complex X))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7206 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7207 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7208 (forall ((Z tptp.complex)) (=> (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) tptp.one_one_real) (not (forall ((T4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) (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 T4)) (tptp.aa_real_real tptp.sin_real T4)))))))))))
% 16.70/16.92 (assume a7209 (forall ((X 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) X)) (=> (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) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real 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)))))))))))
% 16.70/16.92 (assume a7210 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real tptp.one_one_real) A) tptp.one_one_real)))
% 16.70/16.92 (assume a7211 (forall ((X tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.zero_zero_real) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.zero_zero_real) tptp.one_one_real)))))
% 16.70/16.92 (assume a7212 (forall ((X tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))) (not (= X tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7213 (forall ((A tptp.real) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X)) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 16.70/16.92 (assume a7214 (forall ((X 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) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.70/16.92 (assume a7215 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.tan_real X))))
% 16.70/16.92 (assume a7216 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X) tptp.one_one_real) (= X tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7217 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.one_one_real) X))))
% 16.70/16.92 (assume a7218 (forall ((X tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.one_one_real) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.92 (assume a7219 (forall ((X 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) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.70/16.92 (assume a7220 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.70/16.92 (assume a7221 (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)))))
% 16.70/16.92 (assume a7222 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) X))))))
% 16.70/16.92 (assume a7223 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 16.70/16.92 (assume a7224 (forall ((X tptp.real) (N tptp.num)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 16.70/16.92 (assume a7225 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 16.70/16.92 (assume a7226 (forall ((X tptp.real) (I2 tptp.int)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 16.70/16.92 (assume a7227 (forall ((T tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.cos_real T)) (tptp.aa_real_real tptp.sin_real T))) tptp.one_one_real)))
% 16.70/16.92 (assume a7228 (forall ((X tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.70/16.92 (assume a7229 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 16.70/16.92 (assume a7230 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X))))
% 16.70/16.92 (assume a7231 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)))))
% 16.70/16.92 (assume a7232 (forall ((A tptp.real) (X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X)) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7233 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))))))))
% 16.70/16.92 (assume a7234 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)))))
% 16.70/16.92 (assume a7235 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))))
% 16.70/16.92 (assume a7236 (forall ((A tptp.real) (B tptp.real) (X 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) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B)))))))
% 16.70/16.92 (assume a7237 (forall ((X 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 X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.70/16.92 (assume a7238 (forall ((A tptp.real) (B tptp.real) (X 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.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B)))))))
% 16.70/16.92 (assume a7239 (= tptp.one_one_complex (tptp.aa_real_complex (tptp.complex2 tptp.one_one_real) tptp.zero_zero_real)))
% 16.70/16.92 (assume a7240 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) tptp.one_one_complex) (and (= A tptp.one_one_real) (= B tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7241 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) (tptp.numera6690914467698888265omplex W)) (and (= A (tptp.aa_num_real tptp.numeral_numeral_real W)) (= B tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7242 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex (tptp.complex2 A) B)) (tptp.aa_real_complex (tptp.complex2 C) D)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) D)))))
% 16.70/16.92 (assume a7243 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))))))))
% 16.70/16.92 (assume a7244 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))))
% 16.70/16.92 (assume a7245 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) Y)) (= X Y))))))
% 16.70/16.92 (assume a7246 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)))))))
% 16.70/16.92 (assume a7247 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) tptp.one_one_real)))))))
% 16.70/16.92 (assume a7248 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) B)))))))))
% 16.70/16.92 (assume a7249 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)))))))
% 16.70/16.92 (assume a7250 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)))))))
% 16.70/16.92 (assume a7251 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)))))))
% 16.70/16.92 (assume a7252 (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.powr_real B) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (tptp.aa_real_real tptp.uminus_uminus_real C))))))
% 16.70/16.92 (assume a7253 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) B)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) B)))))
% 16.70/16.92 (assume a7254 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.92 (assume a7255 (forall ((X tptp.real) (B tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))))))
% 16.70/16.92 (assume a7256 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (= A (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (= B tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7257 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (= B tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7258 (forall ((X tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B)))))
% 16.70/16.92 (assume a7259 (forall ((W tptp.real) (Z1 tptp.real) (Z22 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z1) Z22)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) Z1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) Z22)))))
% 16.70/16.92 (assume a7260 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.complex2 A) B)) (tptp.aa_real_complex (tptp.complex2 C) D)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real 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))))))
% 16.70/16.92 (assume a7261 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.tan_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real X2)) (tptp.aa_real_real tptp.cos_real X2)))))
% 16.70/16.92 (assume a7262 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.tan_complex X2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex X2)) (tptp.aa_complex_complex tptp.cos_complex X2)))))
% 16.70/16.92 (assume a7263 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))
% 16.70/16.92 (assume a7264 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))))))))
% 16.70/16.92 (assume a7265 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real 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) X)) Y)))))))
% 16.70/16.92 (assume a7266 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y))))))))
% 16.70/16.92 (assume a7267 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X)))))))
% 16.70/16.92 (assume a7268 (forall ((X tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)))))
% 16.70/16.92 (assume a7269 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X)))))
% 16.70/16.92 (assume a7270 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) Y))))))
% 16.70/16.92 (assume a7271 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X)))))))
% 16.70/16.92 (assume a7272 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y))))))))
% 16.70/16.92 (assume a7273 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real 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) X)) Y)))))))
% 16.70/16.92 (assume a7274 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X))))))))
% 16.70/16.92 (assume a7275 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) A)))))))
% 16.70/16.92 (assume a7276 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real tptp.ln_ln_real X)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) A)) X)))))))
% 16.70/16.92 (assume a7277 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))
% 16.70/16.92 (assume a7278 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) Y)))))))))
% 16.70/16.92 (assume a7279 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) (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)) X))))))))
% 16.70/16.92 (assume a7280 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) (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)) X))))))))
% 16.70/16.92 (assume a7281 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.70/16.92 (assume a7282 (forall ((X tptp.real) (A tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.ln_ln_real X))))))))
% 16.70/16.92 (assume a7283 (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))))))))
% 16.70/16.92 (assume a7284 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X)))))))
% 16.70/16.92 (assume a7285 (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 ((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.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))))) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) (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 Y2) Y)) (= Y2 X4)))))))
% 16.70/16.92 (assume a7286 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X))))))))
% 16.70/16.92 (assume a7287 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X))))))))))
% 16.70/16.92 (assume a7288 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))))
% 16.70/16.92 (assume a7289 (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)))))
% 16.70/16.92 (assume a7290 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.70/16.92 (assume a7291 (forall ((Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 16.70/16.92 (assume a7292 (forall ((B tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (tptp.aa_real_real tptp.uminus_uminus_real Y))))))))))
% 16.70/16.92 (assume a7293 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7294 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.70/16.92 (assume a7295 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 16.70/16.92 (assume a7296 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.sqrt X)))))
% 16.70/16.92 (assume a7297 (forall ((X tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))))
% 16.70/16.92 (assume a7298 (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))))))
% 16.70/16.92 (assume a7299 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X)))))))
% 16.70/16.92 (assume a7300 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X)) tptp.zero_zero_real))))))
% 16.70/16.92 (assume a7301 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))))
% 16.70/16.92 (assume a7302 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))
% 16.70/16.92 (assume a7303 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.tan_real X))) tptp.one_one_real)))))
% 16.70/16.92 (assume a7304 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))))))
% 16.70/16.92 (assume a7305 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.tan_real X) Y) (= (tptp.aa_real_real tptp.arctan Y) X))))))
% 16.70/16.92 (assume a7306 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real tptp.tan_real X)) X)))))
% 16.70/16.92 (assume a7307 (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))))
% 16.70/16.92 (assume a7308 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 16.70/16.92 (assume a7309 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 16.70/16.92 (assume a7310 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 16.70/16.92 (assume a7311 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 16.70/16.92 (assume a7312 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.70/16.92 (assume a7313 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 16.70/16.92 (assume a7314 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (exists ((Z3 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)))))) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) (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 Z3) X))))))
% 16.70/16.92 (assume a7315 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_real)))))
% 16.70/16.92 (assume a7316 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tan_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_complex)))))
% 16.70/16.92 (assume a7317 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arcosh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7318 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7319 (forall ((N tptp.nat) (M tptp.nat) (X 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 X) (tptp.aa_nat_set_nat (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 (=> (= X tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat (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 (= X tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat (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 X) M)) (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)))))))))
% 16.70/16.92 (assume a7320 (forall ((N tptp.nat) (M tptp.nat) (X tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (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 (=> (= X tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (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 (= X tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (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.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))))))))
% 16.70/16.92 (assume a7321 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7322 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7323 (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.92 (assume a7324 (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.one_one_real) tptp.one_one_complex))
% 16.70/16.92 (assume a7325 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 16.70/16.92 (assume a7326 (forall ((X tptp.real)) (= (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X) tptp.one_one_complex) (= X tptp.one_one_real))))
% 16.70/16.92 (assume a7327 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 16.70/16.92 (assume a7328 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 16.70/16.92 (assume a7329 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.70/16.92 (assume a7330 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.numera6690914467698888265omplex W))))
% 16.70/16.92 (assume a7331 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 16.70/16.92 (assume a7332 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 16.70/16.92 (assume a7333 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) N))))
% 16.70/16.92 (assume a7334 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) N))))
% 16.70/16.92 (assume a7335 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 16.70/16.92 (assume a7336 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 16.70/16.92 (assume a7337 (= (tptp.aa_real_real tptp.arccos tptp.one_one_real) tptp.zero_zero_real))
% 16.70/16.92 (assume a7338 (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.groups6591440286371151544t_real F A2))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_fo F) A2)))))
% 16.70/16.92 (assume a7339 (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_ft F) A2)))))
% 16.70/16.92 (assume a7340 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups5754745047067104278omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex G X)) (tptp.groups5754745047067104278omplex G A2)))))))
% 16.70/16.92 (assume a7341 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups3049146728041665814omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex G X)) (tptp.groups3049146728041665814omplex G A2)))))))
% 16.70/16.92 (assume a7342 (forall ((A2 tptp.set_nat) (X tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.groups2073611262835488442omplex G (tptp.insert_nat X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G X)) (tptp.groups2073611262835488442omplex G A2)))))))
% 16.70/16.92 (assume a7343 (forall ((A2 tptp.set_real) (X 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 X) A2))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X)) (tptp.groups8097168146408367636l_real G A2)))))))
% 16.70/16.92 (assume a7344 (forall ((A2 tptp.set_int) (X 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 X) A2))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X)) (tptp.groups8778361861064173332t_real G A2)))))))
% 16.70/16.92 (assume a7345 (forall ((A2 tptp.set_complex) (X 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 X) A2))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X)) (tptp.groups5808333547571424918x_real G A2)))))))
% 16.70/16.92 (assume a7346 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X)) (tptp.groups1935376822645274424al_nat G A2)))))))
% 16.70/16.92 (assume a7347 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups4541462559716669496nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat G X)) (tptp.groups4541462559716669496nt_nat G A2)))))))
% 16.70/16.92 (assume a7348 (forall ((A2 tptp.set_complex) (X tptp.complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X)) (tptp.groups5693394587270226106ex_nat G A2)))))))
% 16.70/16.92 (assume a7349 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups1932886352136224148al_int G (tptp.insert_real X A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X)) (tptp.groups1932886352136224148al_int G A2)))))))
% 16.70/16.92 (assume a7350 (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.pi))
% 16.70/16.92 (assume a7351 (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.groups6591440286371151544t_real (tptp.aTP_Lamm_fo F) A2)))))
% 16.70/16.92 (assume a7352 (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_ft F) A2)))))
% 16.70/16.92 (assume a7353 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.92 (assume a7354 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))))
% 16.70/16.92 (assume a7355 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.70/16.92 (assume a7356 (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.70/16.92 (assume a7357 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y)))))
% 16.70/16.92 (assume a7358 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y)))))
% 16.70/16.92 (assume a7359 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_na8797796813480665199d_enat)) (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.groups7108830773950497114d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.zero_z5237406670263579293d_enat)) (=> (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.groups7108830773950497114d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.groups7108830773950497114d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_Extended_enat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a7360 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a7361 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a7362 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a7363 (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a7364 (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_em 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_em C) A2) tptp.zero_zero_complex)))))
% 16.70/16.92 (assume a7365 (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.groups6591440286371151544t_real (tptp.aTP_Lamm_en 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.groups6591440286371151544t_real (tptp.aTP_Lamm_en C) A2) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7366 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) tptp.one_one_real)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a7367 (forall ((X tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) tptp.one_one_complex)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a7368 (forall ((X tptp.real) (B tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real B))))))
% 16.70/16.92 (assume a7369 (forall ((X tptp.real) (B tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.numera6690914467698888265omplex B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real B))))))
% 16.70/16.92 (assume a7370 (= (tptp.aa_real_real tptp.arccos tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.92 (assume a7371 (= (tptp.aa_real_real tptp.arcsin tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.92 (assume a7372 (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_fu 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_fu C) D) A2) tptp.zero_zero_complex)))))
% 16.70/16.92 (assume a7373 (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.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_fv 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.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_fv C) D) A2) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7374 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 16.70/16.92 (assume a7375 (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_complex))
% 16.70/16.92 (assume a7376 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 16.70/16.92 (assume a7377 (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))
% 16.70/16.92 (assume a7378 (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7379 (forall ((F tptp.fun_nat_complex) (A2 tptp.set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups2073611262835488442omplex F A2))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_fn F) A2)))))
% 16.70/16.92 (assume a7380 (forall ((F tptp.fun_complex_complex) (A2 tptp.set_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups7754918857620584856omplex F A2))) (tptp.groups5808333547571424918x_real (tptp.aTP_Lamm_fw F) A2)))))
% 16.70/16.92 (assume a7381 (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.real_V7735802525324610683m_real (tptp.groups6591440286371151544t_real F A2))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_fq F) A2)))))
% 16.70/16.92 (assume a7382 (forall ((S tptp.set_real) (F tptp.fun_real_complex) (G tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) 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_real_complex F X4))) (tptp.aa_real_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups5754745047067104278omplex F S))) (tptp.groups8097168146408367636l_real G S))))))
% 16.70/16.92 (assume a7383 (forall ((S tptp.set_int) (F tptp.fun_int_complex) (G tptp.fun_int_real)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) 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_int_complex F X4))) (tptp.aa_int_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups3049146728041665814omplex F S))) (tptp.groups8778361861064173332t_real G S))))))
% 16.70/16.92 (assume a7384 (forall ((S tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr4050773816208733250omplex) (G tptp.fun_Pr672294278902479040t_real)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) 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_Pro82899191565270131omplex F X4))) (tptp.aa_Pro6168199777849092593t_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups6381953495645901045omplex F S))) (tptp.groups4567486121110086003t_real G S))))))
% 16.70/16.92 (assume a7385 (forall ((S tptp.set_nat) (F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) 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_nat_complex F X4))) (tptp.aa_nat_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups2073611262835488442omplex F S))) (tptp.groups6591440286371151544t_real G S))))))
% 16.70/16.92 (assume a7386 (forall ((S tptp.set_complex) (F tptp.fun_complex_complex) (G tptp.fun_complex_real)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) 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 F X4))) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups7754918857620584856omplex F S))) (tptp.groups5808333547571424918x_real G S))))))
% 16.70/16.92 (assume a7387 (forall ((S tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) 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_nat_real F X4))) (tptp.aa_nat_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.groups6591440286371151544t_real F S))) (tptp.groups6591440286371151544t_real G S))))))
% 16.70/16.92 (assume a7388 (forall ((K5 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I4)) (tptp.aa_real_nat G I4))))) (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))))))
% 16.70/16.92 (assume a7389 (forall ((K5 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I4)) (tptp.aa_int_nat G I4))))) (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))))))
% 16.70/16.92 (assume a7390 (forall ((K5 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I4)) (tptp.aa_complex_nat G I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F K5)) (tptp.groups5693394587270226106ex_nat G K5))))))
% 16.70/16.92 (assume a7391 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F I4)) (tptp.aa_nat_int G I4))))) (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))))))
% 16.70/16.92 (assume a7392 (forall ((K5 tptp.set_real) (F tptp.fun_real_int) (G tptp.fun_real_int)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int F I4)) (tptp.aa_real_int G I4))))) (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))))))
% 16.70/16.92 (assume a7393 (forall ((K5 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F I4)) (tptp.aa_complex_int G I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F K5)) (tptp.groups5690904116761175830ex_int G K5))))))
% 16.70/16.92 (assume a7394 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I4)) (tptp.aa_nat_nat G I4))))) (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) K5)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) K5))))))
% 16.70/16.92 (assume a7395 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I4)) (tptp.aa_nat_real G I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F K5)) (tptp.groups6591440286371151544t_real G K5))))))
% 16.70/16.92 (assume a7396 (forall ((K5 tptp.set_int) (F tptp.fun_int_int) (G tptp.fun_int_int)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F I4)) (tptp.aa_int_int G I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups4538972089207619220nt_int F K5)) (tptp.groups4538972089207619220nt_int G K5))))))
% 16.70/16.92 (assume a7397 (forall ((K5 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat) (G tptp.fun_Pr2602117396471556196at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_Pro4243173770044397973at_nat F I4)) (tptp.aa_Pro4243173770044397973at_nat G I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups977919841031483927at_nat F K5)) (tptp.groups977919841031483927at_nat G K5))))))
% 16.70/16.92 (assume a7398 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat) (G tptp.fun_nat_nat) (B2 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) B2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_set6537093552120046177at_nat (tptp.aa_fun4561837934398617467at_nat (tptp.aTP_Lamm_fy F) G) B2)) A2))))
% 16.70/16.92 (assume a7399 (forall ((F tptp.fun_complex_complex) (A2 tptp.set_complex) (G tptp.fun_complex_complex) (B2 tptp.set_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups7754918857620584856omplex F A2)) (tptp.groups7754918857620584856omplex G B2)) (tptp.groups7754918857620584856omplex (tptp.aa_set7743095458595710203omplex (tptp.aa_fun1583801116089702097omplex (tptp.aTP_Lamm_ga F) G) B2) A2))))
% 16.70/16.92 (assume a7400 (forall ((F tptp.fun_nat_real) (A2 tptp.set_nat) (G tptp.fun_nat_real) (B2 tptp.set_nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups6591440286371151544t_real F A2)) (tptp.groups6591440286371151544t_real G B2)) (tptp.groups6591440286371151544t_real (tptp.aa_set1166323925324055613t_real (tptp.aa_fun1400677770452585267t_real (tptp.aTP_Lamm_gc F) G) B2) A2))))
% 16.70/16.92 (assume a7401 (forall ((F tptp.fun_int_int) (A2 tptp.set_int) (G tptp.fun_int_int) (B2 tptp.set_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups4538972089207619220nt_int G B2)) (tptp.groups4538972089207619220nt_int (tptp.aa_set7310040872927613301nt_int (tptp.aa_fun8076508010538293575nt_int (tptp.aTP_Lamm_ge F) G) B2) A2))))
% 16.70/16.92 (assume a7402 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat) (R tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) R) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_gf F) R)) A2))))
% 16.70/16.92 (assume a7403 (forall ((F tptp.fun_complex_complex) (A2 tptp.set_complex) (R tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups7754918857620584856omplex F A2)) R) (tptp.groups7754918857620584856omplex (tptp.aa_com3342990543769683525omplex (tptp.aTP_Lamm_gg F) R) A2))))
% 16.70/16.92 (assume a7404 (forall ((F tptp.fun_nat_real) (A2 tptp.set_nat) (R tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups6591440286371151544t_real F A2)) R) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fd F) R) A2))))
% 16.70/16.92 (assume a7405 (forall ((F tptp.fun_int_int) (A2 tptp.set_int) (R tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups4538972089207619220nt_int F A2)) R) (tptp.groups4538972089207619220nt_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_gh F) R) A2))))
% 16.70/16.92 (assume a7406 (forall ((R tptp.nat) (F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_gi R) F)) A2))))
% 16.70/16.92 (assume a7407 (forall ((R tptp.complex) (F tptp.fun_complex_complex) (A2 tptp.set_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex R) (tptp.groups7754918857620584856omplex F A2)) (tptp.groups7754918857620584856omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_gj R) F) A2))))
% 16.70/16.92 (assume a7408 (forall ((R tptp.real) (F tptp.fun_nat_real) (A2 tptp.set_nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.groups6591440286371151544t_real F A2)) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es R) F) A2))))
% 16.70/16.92 (assume a7409 (forall ((R tptp.int) (F tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R) (tptp.groups4538972089207619220nt_int F A2)) (tptp.groups4538972089207619220nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_gk R) F) A2))))
% 16.70/16.92 (assume a7410 (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_ex 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)))))
% 16.70/16.92 (assume a7411 (forall ((G tptp.fun_complex_complex) (H tptp.fun_complex_complex) (A2 tptp.set_complex)) (= (tptp.groups7754918857620584856omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_gl G) H) A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G A2)) (tptp.groups7754918857620584856omplex H A2)))))
% 16.70/16.92 (assume a7412 (forall ((G tptp.fun_nat_real) (H tptp.fun_nat_real) (A2 tptp.set_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ew G) H) A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real G A2)) (tptp.groups6591440286371151544t_real H A2)))))
% 16.70/16.92 (assume a7413 (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_gm 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)))))
% 16.70/16.92 (assume a7414 (forall ((F tptp.fun_complex_complex) (A2 tptp.set_complex) (R tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups7754918857620584856omplex F A2)) R) (tptp.groups7754918857620584856omplex (tptp.aa_com3342990543769683525omplex (tptp.aTP_Lamm_gn F) R) A2))))
% 16.70/16.92 (assume a7415 (forall ((F tptp.fun_nat_real) (A2 tptp.set_nat) (R tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.groups6591440286371151544t_real F A2)) R) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_et F) R) A2))))
% 16.70/16.92 (assume a7416 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_go F) A)) A2)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) A))))
% 16.70/16.92 (assume a7417 (forall ((F tptp.fun_int_int) (A tptp.int) (A2 tptp.set_int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups4538972089207619220nt_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_gp F) A) A2)) A) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups4538972089207619220nt_int F A2)) A))))
% 16.70/16.92 (assume a7418 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups7108830773950497114d_enat F A2))))))
% 16.70/16.92 (assume a7419 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups2800946370649118462d_enat F A2))))))
% 16.70/16.92 (assume a7420 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups4225252721152677374d_enat F A2))))))
% 16.70/16.92 (assume a7421 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups1752964319039525884d_enat F A2))))))
% 16.70/16.92 (assume a7422 (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))))))
% 16.70/16.92 (assume a7423 (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))))))
% 16.70/16.92 (assume a7424 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (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.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F A2))))))
% 16.70/16.92 (assume a7425 (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))))))
% 16.70/16.92 (assume a7426 (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))))))
% 16.70/16.92 (assume a7427 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (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.zero_zero_nat) (tptp.aa_complex_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.groups5693394587270226106ex_nat F A2))))))
% 16.70/16.92 (assume a7428 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) tptp.zero_z5237406670263579293d_enat)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups7108830773950497114d_enat F A2)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.92 (assume a7429 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) tptp.zero_z5237406670263579293d_enat)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups2800946370649118462d_enat F A2)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.92 (assume a7430 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_int_Extended_enat F X4)) tptp.zero_z5237406670263579293d_enat)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups4225252721152677374d_enat F A2)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.92 (assume a7431 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F X4)) tptp.zero_z5237406670263579293d_enat)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups1752964319039525884d_enat F A2)) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.92 (assume a7432 (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)))))
% 16.70/16.92 (assume a7433 (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)))))
% 16.70/16.92 (assume a7434 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (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.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F A2)) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7435 (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)))))
% 16.70/16.92 (assume a7436 (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)))))
% 16.70/16.92 (assume a7437 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (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.zero_zero_nat)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F A2)) tptp.zero_zero_nat)))))
% 16.70/16.92 (assume a7438 (forall ((F tptp.fun_real_nat) (I6 tptp.set_real) (G tptp.fun_real_nat) (I2 tptp.real)) (=> (= (tptp.groups1935376822645274424al_nat F I6) (tptp.groups1935376822645274424al_nat G I6)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I4)) (tptp.aa_real_nat G I4))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) I6)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (= (tptp.aa_real_nat F I2) (tptp.aa_real_nat G I2))))))))
% 16.70/16.92 (assume a7439 (forall ((F tptp.fun_int_nat) (I6 tptp.set_int) (G tptp.fun_int_nat) (I2 tptp.int)) (=> (= (tptp.groups4541462559716669496nt_nat F I6) (tptp.groups4541462559716669496nt_nat G I6)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I4)) (tptp.aa_int_nat G I4))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) I6)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (= (tptp.aa_int_nat F I2) (tptp.aa_int_nat G I2))))))))
% 16.70/16.92 (assume a7440 (forall ((F tptp.fun_complex_nat) (I6 tptp.set_complex) (G tptp.fun_complex_nat) (I2 tptp.complex)) (=> (= (tptp.groups5693394587270226106ex_nat F I6) (tptp.groups5693394587270226106ex_nat G I6)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I4)) (tptp.aa_complex_nat G I4))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) I6)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (= (tptp.aa_complex_nat F I2) (tptp.aa_complex_nat G I2))))))))
% 16.70/16.92 (assume a7441 (forall ((F tptp.fun_real_int) (I6 tptp.set_real) (G tptp.fun_real_int) (I2 tptp.real)) (=> (= (tptp.groups1932886352136224148al_int F I6) (tptp.groups1932886352136224148al_int G I6)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int F I4)) (tptp.aa_real_int G I4))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) I6)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (= (tptp.aa_real_int F I2) (tptp.aa_real_int G I2))))))))
% 16.70/16.92 (assume a7442 (forall ((F tptp.fun_nat_int) (I6 tptp.set_nat) (G tptp.fun_nat_int) (I2 tptp.nat)) (=> (= (tptp.groups3539618377306564664at_int F I6) (tptp.groups3539618377306564664at_int G I6)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F I4)) (tptp.aa_nat_int G I4))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) I6)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (= (tptp.aa_nat_int F I2) (tptp.aa_nat_int G I2))))))))
% 16.70/16.92 (assume a7443 (forall ((F tptp.fun_complex_int) (I6 tptp.set_complex) (G tptp.fun_complex_int) (I2 tptp.complex)) (=> (= (tptp.groups5690904116761175830ex_int F I6) (tptp.groups5690904116761175830ex_int G I6)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F I4)) (tptp.aa_complex_int G I4))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) I6)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (= (tptp.aa_complex_int F I2) (tptp.aa_complex_int G I2))))))))
% 16.70/16.92 (assume a7444 (forall ((F tptp.fun_nat_nat) (I6 tptp.set_nat) (G tptp.fun_nat_nat) (I2 tptp.nat)) (=> (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) I6) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) I6)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I4)) (tptp.aa_nat_nat G I4))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) I6)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (= (tptp.aa_nat_nat F I2) (tptp.aa_nat_nat G I2))))))))
% 16.70/16.92 (assume a7445 (forall ((F tptp.fun_nat_real) (I6 tptp.set_nat) (G tptp.fun_nat_real) (I2 tptp.nat)) (=> (= (tptp.groups6591440286371151544t_real F I6) (tptp.groups6591440286371151544t_real G I6)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I4)) (tptp.aa_nat_real G I4))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) I6)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (= (tptp.aa_nat_real F I2) (tptp.aa_nat_real G I2))))))))
% 16.70/16.92 (assume a7446 (forall ((F tptp.fun_int_int) (I6 tptp.set_int) (G tptp.fun_int_int) (I2 tptp.int)) (=> (= (tptp.groups4538972089207619220nt_int F I6) (tptp.groups4538972089207619220nt_int G I6)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F I4)) (tptp.aa_int_int G I4))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) I6)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (= (tptp.aa_int_int F I2) (tptp.aa_int_int G I2))))))))
% 16.70/16.92 (assume a7447 (forall ((F tptp.fun_Pr2602117396471556196at_nat) (I6 tptp.set_Pr1261947904930325089at_nat) (G tptp.fun_Pr2602117396471556196at_nat) (I2 tptp.product_prod_nat_nat)) (=> (= (tptp.groups977919841031483927at_nat F I6) (tptp.groups977919841031483927at_nat G I6)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_Pro4243173770044397973at_nat F I4)) (tptp.aa_Pro4243173770044397973at_nat G I4))))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I2) I6)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (= (tptp.aa_Pro4243173770044397973at_nat F I2) (tptp.aa_Pro4243173770044397973at_nat G I2))))))))
% 16.70/16.92 (assume a7448 (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))))))
% 16.70/16.92 (assume a7449 (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.groups6591440286371151544t_real F A2) (tptp.groups6591440286371151544t_real G A2))))))
% 16.70/16.92 (assume a7450 (forall ((R tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R)) (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) Y)))))
% 16.70/16.92 (assume a7451 (forall ((X tptp.real) (Y tptp.real) (R tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) R)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) R)))))
% 16.70/16.92 (assume a7452 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_gq G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7453 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7454 (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_gr G) K)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7455 (forall ((G tptp.fun_nat_real) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_eq G) K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7456 (forall ((S3 tptp.set_nat) (T tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat) (I2 tptp.fun_nat_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S3)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_nat I2 Xa) X4) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat G Xa))))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups7108830773950497114d_enat F S3)) (tptp.groups7108830773950497114d_enat G T)))))))))
% 16.70/16.92 (assume a7457 (forall ((S3 tptp.set_nat) (T tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (I2 tptp.fun_complex_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_nat I2 Xa) X4) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_com3683005661447327866d_enat G Xa))))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups7108830773950497114d_enat F S3)) (tptp.groups1752964319039525884d_enat G T)))))))))
% 16.70/16.92 (assume a7458 (forall ((S3 tptp.set_complex) (T tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat) (I2 tptp.fun_nat_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S3)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_complex I2 Xa) X4) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F X4)) (tptp.aa_nat_Extended_enat G Xa))))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups1752964319039525884d_enat F S3)) (tptp.groups7108830773950497114d_enat G T)))))))))
% 16.70/16.92 (assume a7459 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (I2 tptp.fun_complex_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I2 Xa) X4) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F X4)) (tptp.aa_com3683005661447327866d_enat G Xa))))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups1752964319039525884d_enat F S3)) (tptp.groups1752964319039525884d_enat G T)))))))))
% 16.70/16.92 (assume a7460 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_real) (I2 tptp.fun_complex_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I2 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 S3)) (tptp.groups5808333547571424918x_real G T)))))))))
% 16.70/16.92 (assume a7461 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_nat) (I2 tptp.fun_complex_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_complex_nat G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I2 Xa) X4) (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 Xa))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F S3)) (tptp.groups5693394587270226106ex_nat G T)))))))))
% 16.70/16.92 (assume a7462 (forall ((S3 tptp.set_nat) (T tptp.set_nat) (G tptp.fun_nat_int) (I2 tptp.fun_nat_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S3)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_nat I2 Xa) X4) (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 Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F S3)) (tptp.groups3539618377306564664at_int G T)))))))))
% 16.70/16.92 (assume a7463 (forall ((S3 tptp.set_nat) (T tptp.set_complex) (G tptp.fun_complex_int) (I2 tptp.fun_complex_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int G X4))))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_nat I2 Xa) X4) (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_complex_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F S3)) (tptp.groups5690904116761175830ex_int G T)))))))))
% 16.70/16.92 (assume a7464 (forall ((S3 tptp.set_complex) (T tptp.set_nat) (G tptp.fun_nat_int) (I2 tptp.fun_nat_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S3)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_complex I2 Xa) X4) (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_nat_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F S3)) (tptp.groups3539618377306564664at_int G T)))))))))
% 16.70/16.92 (assume a7465 (forall ((S3 tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_int) (I2 tptp.fun_complex_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int G X4))))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S3)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I2 Xa) X4) (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 Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F S3)) (tptp.groups5690904116761175830ex_int G T)))))))))
% 16.70/16.92 (assume a7466 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F X4))))) (= (= (tptp.groups2800946370649118462d_enat F A2) tptp.zero_z5237406670263579293d_enat) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)) (= (tptp.aa_rea1194391308913012860d_enat F X3) tptp.zero_z5237406670263579293d_enat))))))))
% 16.70/16.92 (assume a7467 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F X4))))) (= (= (tptp.groups4225252721152677374d_enat F A2) tptp.zero_z5237406670263579293d_enat) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_Extended_enat F X3) tptp.zero_z5237406670263579293d_enat))))))))
% 16.70/16.92 (assume a7468 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F X4))))) (= (= (tptp.groups7108830773950497114d_enat F A2) tptp.zero_z5237406670263579293d_enat) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A2)) (= (tptp.aa_nat_Extended_enat F X3) tptp.zero_z5237406670263579293d_enat))))))))
% 16.70/16.92 (assume a7469 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F X4))))) (= (= (tptp.groups1752964319039525884d_enat F A2) tptp.zero_z5237406670263579293d_enat) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_com3683005661447327866d_enat F X3) tptp.zero_z5237406670263579293d_enat))))))))
% 16.70/16.92 (assume a7470 (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))))))))
% 16.70/16.92 (assume a7471 (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))))))))
% 16.70/16.92 (assume a7472 (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))))))))
% 16.70/16.92 (assume a7473 (forall ((A2 tptp.set_real) (F tptp.fun_real_nat)) (=> (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X4))))) (= (= (tptp.groups1935376822645274424al_nat F A2) tptp.zero_zero_nat) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A2)) (= (tptp.aa_real_nat F X3) tptp.zero_zero_nat))))))))
% 16.70/16.92 (assume a7474 (forall ((A2 tptp.set_int) (F 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.zero_zero_nat) (tptp.aa_int_nat F X4))))) (= (= (tptp.groups4541462559716669496nt_nat F A2) tptp.zero_zero_nat) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A2)) (= (tptp.aa_int_nat F X3) tptp.zero_zero_nat))))))))
% 16.70/16.92 (assume a7475 (forall ((A2 tptp.set_complex) (F 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.zero_zero_nat) (tptp.aa_complex_nat F X4))))) (= (= (tptp.groups5693394587270226106ex_nat F A2) tptp.zero_zero_nat) (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A2)) (= (tptp.aa_complex_nat F X3) tptp.zero_zero_nat))))))))
% 16.70/16.92 (assume a7476 (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 ((X2 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X2)) (tptp.aa_complex_real G X2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A2)) (tptp.groups5808333547571424918x_real G A2))))))))
% 16.70/16.92 (assume a7477 (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 ((X2 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_complex_nat F X2)) (tptp.aa_complex_nat G X2))))) (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))))))))
% 16.70/16.92 (assume a7478 (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 ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F X2)) (tptp.aa_nat_int G X2))))) (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))))))))
% 16.70/16.92 (assume a7479 (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 ((X2 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X2) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_complex_int F X2)) (tptp.aa_complex_int G X2))))) (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))))))))
% 16.70/16.92 (assume a7480 (forall ((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 A2)) (=> (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 F X4)) (tptp.aa_nat_nat G X4))))) (=> (exists ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F X2)) (tptp.aa_nat_nat G X2))))) (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) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A2))))))))
% 16.70/16.92 (assume a7481 (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 ((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.aa_nat_real F X4)) (tptp.aa_nat_real G X4))))) (=> (exists ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X2) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X2)) (tptp.aa_nat_real G X2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F A2)) (tptp.groups6591440286371151544t_real G A2))))))))
% 16.70/16.92 (assume a7482 (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 ((X2 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X2) A2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int F X2)) (tptp.aa_int_int G X2))))) (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))))))))
% 16.70/16.92 (assume a7483 (forall ((R2 tptp.fun_Ex8598408993869023341t_bool) (S tptp.set_nat) (H tptp.fun_na8797796813480665199d_enat) (G tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)) (=> (forall ((X15 tptp.extended_enat) (Y15 tptp.extended_enat) (X23 tptp.extended_enat) (Y23 tptp.extended_enat)) (=> (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 X15) X23)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X15) Y15)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_nat_Extended_enat H X4)) (tptp.aa_nat_Extended_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.groups7108830773950497114d_enat H S)) (tptp.groups7108830773950497114d_enat G S)))))))))
% 16.70/16.92 (assume a7484 (forall ((R2 tptp.fun_Ex8598408993869023341t_bool) (S tptp.set_complex) (H tptp.fun_co6496365337113880337d_enat) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)) (=> (forall ((X15 tptp.extended_enat) (Y15 tptp.extended_enat) (X23 tptp.extended_enat) (Y23 tptp.extended_enat)) (=> (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 X15) X23)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X15) Y15)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_com3683005661447327866d_enat H X4)) (tptp.aa_com3683005661447327866d_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.groups1752964319039525884d_enat H S)) (tptp.groups1752964319039525884d_enat G S)))))))))
% 16.70/16.92 (assume a7485 (forall ((R2 tptp.fun_co1378794544173401837x_bool) (S tptp.set_nat) (H tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 tptp.zero_zero_complex) tptp.zero_zero_complex)) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 X15) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex (tptp.plus_plus_complex X15) Y15)) (tptp.aa_complex_complex (tptp.plus_plus_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_nat_complex H X4)) (tptp.aa_nat_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.groups2073611262835488442omplex H S)) (tptp.groups2073611262835488442omplex G S)))))))))
% 16.70/16.92 (assume a7486 (forall ((R2 tptp.fun_re1255401033344146673l_bool) (S tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 X15) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X15) Y15)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_complex_real H X4)) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.groups5808333547571424918x_real H S)) (tptp.groups5808333547571424918x_real G S)))))))))
% 16.70/16.92 (assume a7487 (forall ((R2 tptp.fun_nat_fun_nat_bool) (S 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 R2 tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X15) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X15) Y15)) (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 S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_complex_nat H X4)) (tptp.aa_complex_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.groups5693394587270226106ex_nat H S)) (tptp.groups5693394587270226106ex_nat G S)))))))))
% 16.70/16.92 (assume a7488 (forall ((R2 tptp.fun_int_fun_int_bool) (S 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 R2 tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 X15) X23)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X15) Y15)) (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 S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_nat_int H X4)) (tptp.aa_nat_int G X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.groups3539618377306564664at_int H S)) (tptp.groups3539618377306564664at_int G S)))))))))
% 16.70/16.92 (assume a7489 (forall ((R2 tptp.fun_int_fun_int_bool) (S tptp.set_complex) (H tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 X15) X23)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_complex_int H X4)) (tptp.aa_complex_int G X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.groups5690904116761175830ex_int H S)) (tptp.groups5690904116761175830ex_int G S)))))))))
% 16.70/16.92 (assume a7490 (forall ((R2 tptp.fun_nat_fun_nat_bool) (S tptp.set_nat) (H tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X15) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X15) Y15)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat H X4)) (tptp.aa_nat_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat H) S)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) S)))))))))
% 16.70/16.92 (assume a7491 (forall ((R2 tptp.fun_co1378794544173401837x_bool) (S tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 tptp.zero_zero_complex) tptp.zero_zero_complex)) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 X15) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex (tptp.plus_plus_complex X15) Y15)) (tptp.aa_complex_complex (tptp.plus_plus_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex H X4)) (tptp.aa_complex_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.groups7754918857620584856omplex H S)) (tptp.groups7754918857620584856omplex G S)))))))))
% 16.70/16.92 (assume a7492 (forall ((R2 tptp.fun_re1255401033344146673l_bool) (S tptp.set_nat) (H tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 X15) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X15) Y15)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_nat_real H X4)) (tptp.aa_nat_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.groups6591440286371151544t_real H S)) (tptp.groups6591440286371151544t_real G S)))))))))
% 16.70/16.92 (assume a7493 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat) (G tptp.fun_co6496365337113880337d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_com3683005661447327866d_enat F X4)) (tptp.aa_com3683005661447327866d_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.groups1752964319039525884d_enat F A2)) (tptp.groups1752964319039525884d_enat G A2))))))))
% 16.70/16.92 (assume a7494 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat) (G tptp.fun_na8797796813480665199d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_nat_Extended_enat F X4)) (tptp.aa_nat_Extended_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.groups7108830773950497114d_enat F A2)) (tptp.groups7108830773950497114d_enat G A2))))))))
% 16.70/16.92 (assume a7495 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat) (G tptp.fun_in5914218760682845459d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_int_Extended_enat F X4)) (tptp.aa_int_Extended_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.groups4225252721152677374d_enat F A2)) (tptp.groups4225252721152677374d_enat G A2))))))))
% 16.70/16.92 (assume a7496 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat) (G tptp.fun_re6065469302365115155d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) (tptp.aa_rea1194391308913012860d_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat (tptp.groups2800946370649118462d_enat F A2)) (tptp.groups2800946370649118462d_enat G A2))))))))
% 16.70/16.92 (assume a7497 (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))))))))
% 16.70/16.92 (assume a7498 (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))))))))
% 16.70/16.92 (assume a7499 (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))))))))
% 16.70/16.92 (assume a7500 (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)) (=> (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_complex_nat F X4)) (tptp.aa_complex_nat G 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 G A2))))))))
% 16.70/16.92 (assume a7501 (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)) (=> (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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat F X4)) (tptp.aa_int_nat G X4))))) (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))))))))
% 16.70/16.92 (assume a7502 (forall ((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 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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X4)) (tptp.aa_real_nat G 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 G A2))))))))
% 16.70/16.92 (assume a7503 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups5754745047067104278omplex G (tptp.insert_real X A2)) (tptp.groups5754745047067104278omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups5754745047067104278omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex G X)) (tptp.groups5754745047067104278omplex G A2))))))))
% 16.70/16.92 (assume a7504 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups3049146728041665814omplex G (tptp.insert_int X A2)) (tptp.groups3049146728041665814omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups3049146728041665814omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex G X)) (tptp.groups3049146728041665814omplex G A2))))))))
% 16.70/16.92 (assume a7505 (forall ((A2 tptp.set_nat) (X tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.groups2073611262835488442omplex G (tptp.insert_nat X A2)) (tptp.groups2073611262835488442omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.groups2073611262835488442omplex G (tptp.insert_nat X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G X)) (tptp.groups2073611262835488442omplex G A2))))))))
% 16.70/16.92 (assume a7506 (forall ((A2 tptp.set_real) (X 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 X) A2)) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X A2)) (tptp.groups8097168146408367636l_real G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X)) (tptp.groups8097168146408367636l_real G A2))))))))
% 16.70/16.92 (assume a7507 (forall ((A2 tptp.set_int) (X 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 X) A2)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X A2)) (tptp.groups8778361861064173332t_real G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X)) (tptp.groups8778361861064173332t_real G A2))))))))
% 16.70/16.92 (assume a7508 (forall ((A2 tptp.set_complex) (X 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 X) A2)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X A2)) (tptp.groups5808333547571424918x_real G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X)) (tptp.groups5808333547571424918x_real G A2))))))))
% 16.70/16.92 (assume a7509 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X A2)) (tptp.groups1935376822645274424al_nat G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X)) (tptp.groups1935376822645274424al_nat G A2))))))))
% 16.70/16.92 (assume a7510 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups4541462559716669496nt_nat G (tptp.insert_int X A2)) (tptp.groups4541462559716669496nt_nat G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups4541462559716669496nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat G X)) (tptp.groups4541462559716669496nt_nat G A2))))))))
% 16.70/16.92 (assume a7511 (forall ((A2 tptp.set_complex) (X tptp.complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X A2)) (tptp.groups5693394587270226106ex_nat G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X)) (tptp.groups5693394587270226106ex_nat G A2))))))))
% 16.70/16.92 (assume a7512 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups1932886352136224148al_int G (tptp.insert_real X A2)) (tptp.groups1932886352136224148al_int G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups1932886352136224148al_int G (tptp.insert_real X A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X)) (tptp.groups1932886352136224148al_int G A2))))))))
% 16.70/16.92 (assume a7513 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y))))))
% 16.70/16.92 (assume a7514 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y))))))
% 16.70/16.92 (assume a7515 (forall ((S3 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat) (B2 tptp.extended_enat) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F I4))))) (=> (= (tptp.groups2800946370649118462d_enat F S3) B2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_rea1194391308913012860d_enat F I2)) B2))))))))
% 16.70/16.92 (assume a7516 (forall ((S3 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat) (B2 tptp.extended_enat) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F I4))))) (=> (= (tptp.groups4225252721152677374d_enat F S3) B2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_int_Extended_enat F I2)) B2))))))))
% 16.70/16.92 (assume a7517 (forall ((S3 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat) (B2 tptp.extended_enat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F I4))))) (=> (= (tptp.groups7108830773950497114d_enat F S3) B2) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F I2)) B2))))))))
% 16.70/16.92 (assume a7518 (forall ((S3 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat) (B2 tptp.extended_enat) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F I4))))) (=> (= (tptp.groups1752964319039525884d_enat F S3) B2) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F I2)) B2))))))))
% 16.70/16.92 (assume a7519 (forall ((S3 tptp.set_real) (F tptp.fun_real_real) (B2 tptp.real) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I4))))) (=> (= (tptp.groups8097168146408367636l_real F S3) B2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I2)) B2))))))))
% 16.70/16.92 (assume a7520 (forall ((S3 tptp.set_int) (F tptp.fun_int_real) (B2 tptp.real) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I4))))) (=> (= (tptp.groups8778361861064173332t_real F S3) B2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I2)) B2))))))))
% 16.70/16.92 (assume a7521 (forall ((S3 tptp.set_complex) (F tptp.fun_complex_real) (B2 tptp.real) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I4))))) (=> (= (tptp.groups5808333547571424918x_real F S3) B2) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I2)) B2))))))))
% 16.70/16.92 (assume a7522 (forall ((S3 tptp.set_real) (F tptp.fun_real_nat) (B2 tptp.nat) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (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 I4))))) (=> (= (tptp.groups1935376822645274424al_nat F S3) B2) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I2)) B2))))))))
% 16.70/16.92 (assume a7523 (forall ((S3 tptp.set_int) (F tptp.fun_int_nat) (B2 tptp.nat) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (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 I4))))) (=> (= (tptp.groups4541462559716669496nt_nat F S3) B2) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I2)) B2))))))))
% 16.70/16.92 (assume a7524 (forall ((S3 tptp.set_complex) (F tptp.fun_complex_nat) (B2 tptp.nat) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (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 I4))))) (=> (= (tptp.groups5693394587270226106ex_nat F S3) B2) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I2)) B2))))))))
% 16.70/16.92 (assume a7525 (forall ((S3 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F I4))))) (=> (= (tptp.groups2800946370649118462d_enat F S3) tptp.zero_z5237406670263579293d_enat) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (= (tptp.aa_rea1194391308913012860d_enat F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.92 (assume a7526 (forall ((S3 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F I4))))) (=> (= (tptp.groups4225252721152677374d_enat F S3) tptp.zero_z5237406670263579293d_enat) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (= (tptp.aa_int_Extended_enat F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.92 (assume a7527 (forall ((S3 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F I4))))) (=> (= (tptp.groups7108830773950497114d_enat F S3) tptp.zero_z5237406670263579293d_enat) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) S3)) (= (tptp.aa_nat_Extended_enat F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.92 (assume a7528 (forall ((S3 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F I4))))) (=> (= (tptp.groups1752964319039525884d_enat F S3) tptp.zero_z5237406670263579293d_enat) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (= (tptp.aa_com3683005661447327866d_enat F I2) tptp.zero_z5237406670263579293d_enat)))))))
% 16.70/16.92 (assume a7529 (forall ((S3 tptp.set_real) (F tptp.fun_real_real) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I4))))) (=> (= (tptp.groups8097168146408367636l_real F S3) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (= (tptp.aa_real_real F I2) tptp.zero_zero_real)))))))
% 16.70/16.92 (assume a7530 (forall ((S3 tptp.set_int) (F tptp.fun_int_real) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I4))))) (=> (= (tptp.groups8778361861064173332t_real F S3) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (= (tptp.aa_int_real F I2) tptp.zero_zero_real)))))))
% 16.70/16.92 (assume a7531 (forall ((S3 tptp.set_complex) (F tptp.fun_complex_real) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I4))))) (=> (= (tptp.groups5808333547571424918x_real F S3) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (= (tptp.aa_complex_real F I2) tptp.zero_zero_real)))))))
% 16.70/16.92 (assume a7532 (forall ((S3 tptp.set_real) (F tptp.fun_real_nat) (I2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) S3)) (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 I4))))) (=> (= (tptp.groups1935376822645274424al_nat F S3) tptp.zero_zero_nat) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) S3)) (= (tptp.aa_real_nat F I2) tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7533 (forall ((S3 tptp.set_int) (F tptp.fun_int_nat) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) S3)) (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 I4))))) (=> (= (tptp.groups4541462559716669496nt_nat F S3) tptp.zero_zero_nat) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) S3)) (= (tptp.aa_int_nat F I2) tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7534 (forall ((S3 tptp.set_complex) (F tptp.fun_complex_nat) (I2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) S3)) (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 I4))))) (=> (= (tptp.groups5693394587270226106ex_nat F S3) tptp.zero_zero_nat) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) S3)) (= (tptp.aa_complex_nat F I2) tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7535 (forall ((X tptp.complex) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_gs X) M) I6) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) I6)))))
% 16.70/16.92 (assume a7536 (forall ((X tptp.int) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_gt X) M) I6) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) M)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) I6)))))
% 16.70/16.92 (assume a7537 (forall ((X tptp.real) (M tptp.nat) (I6 tptp.set_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_gu X) M) I6) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) I6)))))
% 16.70/16.92 (assume a7538 (forall ((X tptp.real) (Y tptp.real) (R tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) R)) Y))))
% 16.70/16.92 (assume a7539 (forall ((R tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R)) (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R) X)) Y))))
% 16.70/16.92 (assume a7540 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (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_gv G) N) M)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 16.70/16.92 (assume a7541 (forall ((G tptp.fun_nat_real) (N tptp.nat) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_nat4085805313368488148t_real (tptp.aTP_Lamm_gw G) N) M) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 16.70/16.92 (assume a7542 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.arccos X))))))))
% 16.70/16.92 (assume a7543 (forall ((X tptp.real) (Y tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real))) (= (= (tptp.aa_real_real tptp.arccos X) (tptp.aa_real_real tptp.arccos Y)) (= X Y)))))
% 16.70/16.92 (assume a7544 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 16.70/16.92 (assume a7545 (forall ((I6 tptp.set_real) (I2 tptp.real) (F tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) I6)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F I2))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups2800946370649118462d_enat F I6)))))))))
% 16.70/16.92 (assume a7546 (forall ((I6 tptp.set_int) (I2 tptp.int) (F tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) I6)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F I2))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups4225252721152677374d_enat F I6)))))))))
% 16.70/16.92 (assume a7547 (forall ((I6 tptp.set_nat) (I2 tptp.nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) I6)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F I2))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups7108830773950497114d_enat F I6)))))))))
% 16.70/16.92 (assume a7548 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) I6)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F I2))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups1752964319039525884d_enat F I6)))))))))
% 16.70/16.92 (assume a7549 (forall ((I6 tptp.set_real) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I2))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I6)))))))))
% 16.70/16.92 (assume a7550 (forall ((I6 tptp.set_int) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I2))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I6)))))))))
% 16.70/16.92 (assume a7551 (forall ((I6 tptp.set_complex) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I2))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I6)))))))))
% 16.70/16.92 (assume a7552 (forall ((I6 tptp.set_real) (I2 tptp.real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) I6)) (=> (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 I2))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups1935376822645274424al_nat F I6)))))))))
% 16.70/16.92 (assume a7553 (forall ((I6 tptp.set_int) (I2 tptp.int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) I6)) (=> (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 I2))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups4541462559716669496nt_nat F I6)))))))))
% 16.70/16.92 (assume a7554 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) I6)) (=> (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 I2))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups5693394587270226106ex_nat F I6)))))))))
% 16.70/16.92 (assume a7555 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))))))))
% 16.70/16.92 (assume a7556 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.arcsin X)))))))
% 16.70/16.92 (assume a7557 (forall ((I6 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups1752964319039525884d_enat F I6))))))))
% 16.70/16.92 (assume a7558 (forall ((I6 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups7108830773950497114d_enat F I6))))))))
% 16.70/16.92 (assume a7559 (forall ((I6 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups4225252721152677374d_enat F I6))))))))
% 16.70/16.92 (assume a7560 (forall ((I6 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F I4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.groups2800946370649118462d_enat F I6))))))))
% 16.70/16.92 (assume a7561 (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 ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I6))))))))
% 16.70/16.92 (assume a7562 (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 ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I6))))))))
% 16.70/16.92 (assume a7563 (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 ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I6))))))))
% 16.70/16.92 (assume a7564 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups5693394587270226106ex_nat F I6))))))))
% 16.70/16.92 (assume a7565 (forall ((I6 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups4541462559716669496nt_nat F I6))))))))
% 16.70/16.92 (assume a7566 (forall ((I6 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups1935376822645274424al_nat F I6))))))))
% 16.70/16.92 (assume a7567 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (= (tptp.aa_real_real tptp.arcsin X) (tptp.aa_real_real tptp.arcsin Y)) (= X Y))))))
% 16.70/16.92 (assume a7568 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 16.70/16.92 (assume a7569 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) tptp.one_one_real))))))
% 16.70/16.92 (assume a7570 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) tptp.one_one_complex))))))
% 16.70/16.92 (assume a7571 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_Extended_enat G X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_Extended_enat G X4) (tptp.aa_int_Extended_enat H X4)))) (= (tptp.groups4225252721152677374d_enat G T3) (tptp.groups4225252721152677374d_enat H S))))))))
% 16.70/16.92 (assume a7572 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_com3683005661447327866d_enat G X4) (tptp.aa_com3683005661447327866d_enat H X4)))) (= (tptp.groups1752964319039525884d_enat G T3) (tptp.groups1752964319039525884d_enat H S))))))))
% 16.70/16.92 (assume a7573 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_complex) (H 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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_complex G X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_complex G X4) (tptp.aa_int_complex H X4)))) (= (tptp.groups3049146728041665814omplex G T3) (tptp.groups3049146728041665814omplex H S))))))))
% 16.70/16.92 (assume a7574 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_real) (H 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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_real G X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_real G X4) (tptp.aa_int_real H X4)))) (= (tptp.groups8778361861064173332t_real G T3) (tptp.groups8778361861064173332t_real H S))))))))
% 16.70/16.92 (assume a7575 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real H S))))))))
% 16.70/16.92 (assume a7576 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_nat G X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_nat G X4) (tptp.aa_int_nat H X4)))) (= (tptp.groups4541462559716669496nt_nat G T3) (tptp.groups4541462559716669496nt_nat H S))))))))
% 16.70/16.92 (assume a7577 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_nat G X4) (tptp.aa_complex_nat H X4)))) (= (tptp.groups5693394587270226106ex_nat G T3) (tptp.groups5693394587270226106ex_nat H S))))))))
% 16.70/16.92 (assume a7578 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.zero_zero_int))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_int G X4) (tptp.aa_complex_int H X4)))) (= (tptp.groups5690904116761175830ex_int G T3) (tptp.groups5690904116761175830ex_int H S))))))))
% 16.70/16.92 (assume a7579 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (= (tptp.aa_rea1194391308913012860d_enat G X4) (tptp.aa_rea1194391308913012860d_enat H X4)))) (= (tptp.groups2800946370649118462d_enat G T3) (tptp.groups2800946370649118462d_enat H S))))))))
% 16.70/16.92 (assume a7580 (forall ((T3 tptp.set_real) (S 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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (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) S)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups5754745047067104278omplex G T3) (tptp.groups5754745047067104278omplex H S))))))))
% 16.70/16.92 (assume a7581 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_in5914218760682845459d_enat) (G tptp.fun_in5914218760682845459d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_Extended_enat H X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_Extended_enat G X4) (tptp.aa_int_Extended_enat H X4)))) (= (tptp.groups4225252721152677374d_enat G S) (tptp.groups4225252721152677374d_enat H T3))))))))
% 16.70/16.92 (assume a7582 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_co6496365337113880337d_enat) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat H X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_com3683005661447327866d_enat G X4) (tptp.aa_com3683005661447327866d_enat H X4)))) (= (tptp.groups1752964319039525884d_enat G S) (tptp.groups1752964319039525884d_enat H T3))))))))
% 16.70/16.92 (assume a7583 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_complex) (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_complex H X4) tptp.zero_zero_complex))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_complex G X4) (tptp.aa_int_complex H X4)))) (= (tptp.groups3049146728041665814omplex G S) (tptp.groups3049146728041665814omplex H T3))))))))
% 16.70/16.92 (assume a7584 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_real) (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_real H X4) tptp.zero_zero_real))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_real G X4) (tptp.aa_int_real H X4)))) (= (tptp.groups8778361861064173332t_real G S) (tptp.groups8778361861064173332t_real H T3))))))))
% 16.70/16.92 (assume a7585 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups5808333547571424918x_real G S) (tptp.groups5808333547571424918x_real H T3))))))))
% 16.70/16.92 (assume a7586 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_nat H X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_nat G X4) (tptp.aa_int_nat H X4)))) (= (tptp.groups4541462559716669496nt_nat G S) (tptp.groups4541462559716669496nt_nat H T3))))))))
% 16.70/16.92 (assume a7587 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_complex_nat) (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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat H X4) tptp.zero_zero_nat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_nat G X4) (tptp.aa_complex_nat H X4)))) (= (tptp.groups5693394587270226106ex_nat G S) (tptp.groups5693394587270226106ex_nat H T3))))))))
% 16.70/16.92 (assume a7588 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_complex_int) (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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int H X4) tptp.zero_zero_int))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_int G X4) (tptp.aa_complex_int H X4)))) (= (tptp.groups5690904116761175830ex_int G S) (tptp.groups5690904116761175830ex_int H T3))))))))
% 16.70/16.92 (assume a7589 (forall ((T3 tptp.set_real) (S tptp.set_real) (H tptp.fun_re6065469302365115155d_enat) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat H X4) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (= (tptp.aa_rea1194391308913012860d_enat G X4) (tptp.aa_rea1194391308913012860d_enat H X4)))) (= (tptp.groups2800946370649118462d_enat G S) (tptp.groups2800946370649118462d_enat H T3))))))))
% 16.70/16.92 (assume a7590 (forall ((T3 tptp.set_real) (S 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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (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) S)) (= (tptp.aa_real_complex G X4) (tptp.aa_real_complex H X4)))) (= (tptp.groups5754745047067104278omplex G S) (tptp.groups5754745047067104278omplex H T3))))))))
% 16.70/16.92 (assume a7591 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups1752964319039525884d_enat G T3) (tptp.groups1752964319039525884d_enat G S)))))))
% 16.70/16.92 (assume a7592 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_real G X4) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real G S)))))))
% 16.70/16.92 (assume a7593 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G T3) (tptp.groups5693394587270226106ex_nat G S)))))))
% 16.70/16.92 (assume a7594 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G T3) (tptp.groups5690904116761175830ex_int G S)))))))
% 16.70/16.92 (assume a7595 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups2800946370649118462d_enat G T3) (tptp.groups2800946370649118462d_enat G S)))))))
% 16.70/16.92 (assume a7596 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups5754745047067104278omplex G T3) (tptp.groups5754745047067104278omplex G S)))))))
% 16.70/16.92 (assume a7597 (forall ((T3 tptp.set_real) (S tptp.set_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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_real G X4) tptp.zero_zero_real))) (= (tptp.groups8097168146408367636l_real G T3) (tptp.groups8097168146408367636l_real G S)))))))
% 16.70/16.92 (assume a7598 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups1935376822645274424al_nat G T3) (tptp.groups1935376822645274424al_nat G S)))))))
% 16.70/16.92 (assume a7599 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_real_int)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_int G X4) tptp.zero_zero_int))) (= (tptp.groups1932886352136224148al_int G T3) (tptp.groups1932886352136224148al_int G S)))))))
% 16.70/16.92 (assume a7600 (forall ((T3 tptp.set_nat) (S tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S))) (= (tptp.aa_nat_Extended_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups7108830773950497114d_enat G T3) (tptp.groups7108830773950497114d_enat G S)))))))
% 16.70/16.92 (assume a7601 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups1752964319039525884d_enat G S) (tptp.groups1752964319039525884d_enat G T3)))))))
% 16.70/16.92 (assume a7602 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_real G X4) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G S) (tptp.groups5808333547571424918x_real G T3)))))))
% 16.70/16.92 (assume a7603 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G S) (tptp.groups5693394587270226106ex_nat G T3)))))))
% 16.70/16.92 (assume a7604 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G S) (tptp.groups5690904116761175830ex_int G T3)))))))
% 16.70/16.92 (assume a7605 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups2800946370649118462d_enat G S) (tptp.groups2800946370649118462d_enat G T3)))))))
% 16.70/16.92 (assume a7606 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_complex G X4) tptp.zero_zero_complex))) (= (tptp.groups5754745047067104278omplex G S) (tptp.groups5754745047067104278omplex G T3)))))))
% 16.70/16.92 (assume a7607 (forall ((T3 tptp.set_real) (S tptp.set_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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_real G X4) tptp.zero_zero_real))) (= (tptp.groups8097168146408367636l_real G S) (tptp.groups8097168146408367636l_real G T3)))))))
% 16.70/16.92 (assume a7608 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_nat G X4) tptp.zero_zero_nat))) (= (tptp.groups1935376822645274424al_nat G S) (tptp.groups1935376822645274424al_nat G T3)))))))
% 16.70/16.92 (assume a7609 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_real_int)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_int G X4) tptp.zero_zero_int))) (= (tptp.groups1932886352136224148al_int G S) (tptp.groups1932886352136224148al_int G T3)))))))
% 16.70/16.92 (assume a7610 (forall ((T3 tptp.set_nat) (S tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S) T3)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.minus_minus_set_nat T3 S))) (= (tptp.aa_nat_Extended_enat G X4) tptp.zero_z5237406670263579293d_enat))) (= (tptp.groups7108830773950497114d_enat G S) (tptp.groups7108830773950497114d_enat G T3)))))))
% 16.70/16.92 (assume a7611 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_Extended_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_Extended_enat H B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (tptp.groups4225252721152677374d_enat G C4) (tptp.groups4225252721152677374d_enat H C4)) (= (tptp.groups4225252721152677374d_enat G A2) (tptp.groups4225252721152677374d_enat H B2))))))))))
% 16.70/16.92 (assume a7612 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (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_com3683005661447327866d_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (tptp.groups1752964319039525884d_enat G C4) (tptp.groups1752964319039525884d_enat H C4)) (= (tptp.groups1752964319039525884d_enat G A2) (tptp.groups1752964319039525884d_enat H B2))))))))))
% 16.70/16.92 (assume a7613 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (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) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_complex H B3) tptp.zero_zero_complex))) (=> (= (tptp.groups3049146728041665814omplex G C4) (tptp.groups3049146728041665814omplex H C4)) (= (tptp.groups3049146728041665814omplex G A2) (tptp.groups3049146728041665814omplex H B2))))))))))
% 16.70/16.92 (assume a7614 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups8778361861064173332t_real G C4) (tptp.groups8778361861064173332t_real H C4)) (= (tptp.groups8778361861064173332t_real G A2) (tptp.groups8778361861064173332t_real H B2))))))))))
% 16.70/16.92 (assume a7615 (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))))))))))
% 16.70/16.92 (assume a7616 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups4541462559716669496nt_nat G C4) (tptp.groups4541462559716669496nt_nat H C4)) (= (tptp.groups4541462559716669496nt_nat G A2) (tptp.groups4541462559716669496nt_nat H B2))))))))))
% 16.70/16.92 (assume a7617 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (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_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups5693394587270226106ex_nat G C4) (tptp.groups5693394587270226106ex_nat H C4)) (= (tptp.groups5693394587270226106ex_nat G A2) (tptp.groups5693394587270226106ex_nat H B2))))))))))
% 16.70/16.92 (assume a7618 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (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_int G A3) tptp.zero_zero_int))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_int H B3) tptp.zero_zero_int))) (=> (= (tptp.groups5690904116761175830ex_int G C4) (tptp.groups5690904116761175830ex_int H C4)) (= (tptp.groups5690904116761175830ex_int G A2) (tptp.groups5690904116761175830ex_int H B2))))))))))
% 16.70/16.92 (assume a7619 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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_rea1194391308913012860d_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.zero_z5237406670263579293d_enat))) (=> (= (tptp.groups2800946370649118462d_enat G C4) (tptp.groups2800946370649118462d_enat H C4)) (= (tptp.groups2800946370649118462d_enat G A2) (tptp.groups2800946370649118462d_enat H B2))))))))))
% 16.70/16.92 (assume a7620 (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))))))))))
% 16.70/16.92 (assume a7621 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_Extended_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_Extended_enat H B3) tptp.zero_z5237406670263579293d_enat))) (= (= (tptp.groups4225252721152677374d_enat G A2) (tptp.groups4225252721152677374d_enat H B2)) (= (tptp.groups4225252721152677374d_enat G C4) (tptp.groups4225252721152677374d_enat H C4))))))))))
% 16.70/16.92 (assume a7622 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (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_com3683005661447327866d_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.zero_z5237406670263579293d_enat))) (= (= (tptp.groups1752964319039525884d_enat G A2) (tptp.groups1752964319039525884d_enat H B2)) (= (tptp.groups1752964319039525884d_enat G C4) (tptp.groups1752964319039525884d_enat H C4))))))))))
% 16.70/16.92 (assume a7623 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (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) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_complex H B3) tptp.zero_zero_complex))) (= (= (tptp.groups3049146728041665814omplex G A2) (tptp.groups3049146728041665814omplex H B2)) (= (tptp.groups3049146728041665814omplex G C4) (tptp.groups3049146728041665814omplex H C4))))))))))
% 16.70/16.92 (assume a7624 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups8778361861064173332t_real G A2) (tptp.groups8778361861064173332t_real H B2)) (= (tptp.groups8778361861064173332t_real G C4) (tptp.groups8778361861064173332t_real H C4))))))))))
% 16.70/16.92 (assume a7625 (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))))))))))
% 16.70/16.92 (assume a7626 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups4541462559716669496nt_nat G A2) (tptp.groups4541462559716669496nt_nat H B2)) (= (tptp.groups4541462559716669496nt_nat G C4) (tptp.groups4541462559716669496nt_nat H C4))))))))))
% 16.70/16.92 (assume a7627 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (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_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups5693394587270226106ex_nat G A2) (tptp.groups5693394587270226106ex_nat H B2)) (= (tptp.groups5693394587270226106ex_nat G C4) (tptp.groups5693394587270226106ex_nat H C4))))))))))
% 16.70/16.92 (assume a7628 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (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_int G A3) tptp.zero_zero_int))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_int H B3) tptp.zero_zero_int))) (= (= (tptp.groups5690904116761175830ex_int G A2) (tptp.groups5690904116761175830ex_int H B2)) (= (tptp.groups5690904116761175830ex_int G C4) (tptp.groups5690904116761175830ex_int H C4))))))))))
% 16.70/16.92 (assume a7629 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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_rea1194391308913012860d_enat G A3) tptp.zero_z5237406670263579293d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.zero_z5237406670263579293d_enat))) (= (= (tptp.groups2800946370649118462d_enat G A2) (tptp.groups2800946370649118462d_enat H B2)) (= (tptp.groups2800946370649118462d_enat G C4) (tptp.groups2800946370649118462d_enat H C4))))))))))
% 16.70/16.92 (assume a7630 (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))))))))))
% 16.70/16.92 (assume a7631 (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)))))))
% 16.70/16.92 (assume a7632 (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)))))))
% 16.70/16.92 (assume a7633 (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)))))))
% 16.70/16.92 (assume a7634 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups5754745047067104278omplex G A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups5754745047067104278omplex G (tptp.minus_minus_set_real A2 B2))) (tptp.groups5754745047067104278omplex G B2)))))))
% 16.70/16.92 (assume a7635 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups8097168146408367636l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 B2))) (tptp.groups8097168146408367636l_real G B2)))))))
% 16.70/16.92 (assume a7636 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1935376822645274424al_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A2 B2))) (tptp.groups1935376822645274424al_nat G B2)))))))
% 16.70/16.92 (assume a7637 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1932886352136224148al_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups1932886352136224148al_int G (tptp.minus_minus_set_real A2 B2))) (tptp.groups1932886352136224148al_int G B2)))))))
% 16.70/16.92 (assume a7638 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups2073611262835488442omplex G A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups2073611262835488442omplex G B2)))))))
% 16.70/16.92 (assume a7639 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_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)))))))
% 16.70/16.92 (assume a7640 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_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_nat (tptp.groups3542108847815614940at_nat G) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.minus_minus_set_nat A2 B2))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) B2)))))))
% 16.70/16.92 (assume a7641 (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)))))))
% 16.70/16.92 (assume a7642 (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)))))))
% 16.70/16.92 (assume a7643 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (F tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (= (tptp.groups5754745047067104278omplex F (tptp.minus_minus_set_real A2 B2)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups5754745047067104278omplex F A2)) (tptp.groups5754745047067104278omplex F B2)))))))
% 16.70/16.92 (assume a7644 (forall ((A2 tptp.set_real) (B2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (= (tptp.groups8097168146408367636l_real F (tptp.minus_minus_set_real A2 B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups8097168146408367636l_real F A2)) (tptp.groups8097168146408367636l_real F B2)))))))
% 16.70/16.92 (assume a7645 (forall ((A2 tptp.set_real) (B2 tptp.set_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.ord_less_eq_set_real B2) A2)) (= (tptp.groups1932886352136224148al_int F (tptp.minus_minus_set_real A2 B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups1932886352136224148al_int F A2)) (tptp.groups1932886352136224148al_int F B2)))))))
% 16.70/16.92 (assume a7646 (forall ((A2 tptp.set_nat) (B2 tptp.set_nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)) (= (tptp.groups2073611262835488442omplex F (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups2073611262835488442omplex F A2)) (tptp.groups2073611262835488442omplex F B2)))))))
% 16.70/16.92 (assume a7647 (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.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)))))))
% 16.70/16.92 (assume a7648 (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)))))))
% 16.70/16.92 (assume a7649 (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.ord_less_eq_set_nat B2) A2)) (= (tptp.groups6591440286371151544t_real F (tptp.minus_minus_set_nat A2 B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups6591440286371151544t_real F A2)) (tptp.groups6591440286371151544t_real F B2)))))))
% 16.70/16.92 (assume a7650 (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)))))))
% 16.70/16.92 (assume a7651 (forall ((F tptp.fun_na8797796813480665199d_enat) (K tptp.nat)) (=> (= (tptp.aa_nat_Extended_enat F tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat) (= (tptp.groups7108830773950497114d_enat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.groups7108830773950497114d_enat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 16.70/16.92 (assume a7652 (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 16.70/16.92 (assume a7653 (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 16.70/16.92 (assume a7654 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 16.70/16.92 (assume a7655 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (= (tptp.aa_nat_real F tptp.zero_zero_nat) tptp.zero_zero_real) (= (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))))))
% 16.70/16.92 (assume a7656 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a7657 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a7658 (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_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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a7659 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a7660 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex)) (=> (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.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (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) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (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) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7663 (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7664 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G M)) (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a7665 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a7666 (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.aa_nat_set_nat (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a7667 (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a7668 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_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.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G M)) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7669 (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G M)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_gx G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7670 (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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G M)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_gq G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7671 (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real G M)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a7672 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_complex)) (=> (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.groups2073611262835488442omplex (tptp.aTP_Lamm_gy F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex F M))))))
% 16.70/16.92 (assume a7673 (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_gz F) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7674 (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ha F) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7675 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (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 ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B2 A2))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F B3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups4225252721152677374d_enat F A2)) (tptp.groups4225252721152677374d_enat F B2))))))))
% 16.70/16.92 (assume a7676 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F B3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups1752964319039525884d_enat F A2)) (tptp.groups1752964319039525884d_enat F B2))))))))
% 16.70/16.92 (assume a7677 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_real)) (=> (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 ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B2 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 B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F A2)) (tptp.groups8778361861064173332t_real F B2))))))))
% 16.70/16.92 (assume a7678 (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))))))))
% 16.70/16.92 (assume a7679 (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)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int 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_int_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4541462559716669496nt_nat F B2))))))))
% 16.70/16.92 (assume a7680 (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))))))))
% 16.70/16.92 (assume a7681 (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)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B2 A2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int F B3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F A2)) (tptp.groups5690904116761175830ex_int F B2))))))))
% 16.70/16.92 (assume a7682 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (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_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F B3))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups2800946370649118462d_enat F A2)) (tptp.groups2800946370649118462d_enat F B2))))))))
% 16.70/16.92 (assume a7683 (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))))))))
% 16.70/16.92 (assume a7684 (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))))))))
% 16.70/16.92 (assume a7685 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y)))))))
% 16.70/16.92 (assume a7686 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.arccos X))))))))
% 16.70/16.92 (assume a7687 (forall ((A2 tptp.set_complex) (X 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 X) A2)) (= (tptp.groups5808333547571424918x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7688 (forall ((A2 tptp.set_complex) (X 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 X) 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 X)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7689 (forall ((A2 tptp.set_complex) (X 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 X) 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 X)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7690 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups3049146728041665814omplex G A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex G X)) (tptp.groups3049146728041665814omplex G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7691 (forall ((A2 tptp.set_int) (X 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 X) A2)) (= (tptp.groups8778361861064173332t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X)) (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7692 (forall ((A2 tptp.set_int) (X tptp.int) (G 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 X) A2)) (= (tptp.groups4541462559716669496nt_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat G X)) (tptp.groups4541462559716669496nt_nat G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7693 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups5754745047067104278omplex G A2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex G X)) (tptp.groups5754745047067104278omplex G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7694 (forall ((A2 tptp.set_real) (X 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 X) A2)) (= (tptp.groups8097168146408367636l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X)) (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7695 (forall ((A2 tptp.set_real) (X tptp.real) (G 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 X) A2)) (= (tptp.groups1935376822645274424al_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X)) (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7696 (forall ((A2 tptp.set_real) (X tptp.real) (G 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 X) A2)) (= (tptp.groups1932886352136224148al_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X)) (tptp.groups1932886352136224148al_int G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7697 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real G X)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a7698 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a7699 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_int) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups5690904116761175830ex_int G (tptp.insert_complex X A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int G X)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a7700 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups3049146728041665814omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex G X)) (tptp.groups3049146728041665814omplex G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a7701 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real G X)) (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a7702 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups4541462559716669496nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat G X)) (tptp.groups4541462559716669496nt_nat G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a7703 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups5754745047067104278omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex G X)) (tptp.groups5754745047067104278omplex G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a7704 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real G X)) (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a7705 (forall ((A2 tptp.set_real) (G tptp.fun_real_nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X)) (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a7706 (forall ((A2 tptp.set_real) (G tptp.fun_real_int) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1932886352136224148al_int G (tptp.insert_real X A2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X)) (tptp.groups1932886352136224148al_int G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a7707 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))
% 16.70/16.92 (assume a7708 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi))))))
% 16.70/16.92 (assume a7709 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real X)) X)))))
% 16.70/16.92 (assume a7710 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))))))))
% 16.70/16.92 (assume a7711 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 16.70/16.92 (assume a7712 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y))))
% 16.70/16.92 (assume a7713 (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.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real B)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real A)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))))))
% 16.70/16.92 (assume a7714 (forall ((B tptp.real) (A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex B)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex A)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))))))
% 16.70/16.92 (assume a7715 (forall ((Theta tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Theta)) tptp.pi)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real Theta)) (tptp.aa_real_real tptp.abs_abs_real Theta)))))
% 16.70/16.92 (assume a7716 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a7717 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a7718 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a7719 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a7720 (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 ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) (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 N3))))) (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))))))))
% 16.70/16.92 (assume a7721 (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 ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) (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 N3))))) (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))))))))
% 16.70/16.92 (assume a7722 (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 ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) (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 N3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F I6)) (tptp.suminf_real F))))))))
% 16.70/16.92 (assume a7723 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_hb A) B) C) S) (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 S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_hb A) B) C) S) (tptp.groups5808333547571424918x_real C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7724 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_hc A) B) C) S) (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 S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_hc A) B) C) S) (tptp.groups5693394587270226106ex_nat C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7725 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_hd A) B) C) S) (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 S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_hd A) B) C) S) (tptp.groups5690904116761175830ex_int C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a7726 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_complex) (C tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aa_fun8701580876069687872omplex (tptp.aTP_Lamm_he A) B) C) S) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_int_complex B A)) (tptp.groups3049146728041665814omplex C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups3049146728041665814omplex (tptp.aa_fun3088484340408535532omplex (tptp.aa_fun8701580876069687872omplex (tptp.aTP_Lamm_he A) B) C) S) (tptp.groups3049146728041665814omplex C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7727 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_hf A) B) C) S) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real B A)) (tptp.groups8778361861064173332t_real C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_hf A) B) C) S) (tptp.groups8778361861064173332t_real C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7728 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_nat) (C tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups4541462559716669496nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aa_fun5407591398502139302nt_nat (tptp.aTP_Lamm_hg A) B) C) S) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat B A)) (tptp.groups4541462559716669496nt_nat C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups4541462559716669496nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aa_fun5407591398502139302nt_nat (tptp.aTP_Lamm_hg A) B) C) S) (tptp.groups4541462559716669496nt_nat C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a7729 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_complex) (C tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aa_fun2106233272836097472omplex (tptp.aTP_Lamm_hh A) B) C) S) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex B A)) (tptp.groups5754745047067104278omplex C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups5754745047067104278omplex (tptp.aa_fun2233226938935547116omplex (tptp.aa_fun2106233272836097472omplex (tptp.aTP_Lamm_hh A) B) C) S) (tptp.groups5754745047067104278omplex C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7730 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_hi A) B) C) S) (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 S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_hi A) B) C) S) (tptp.groups8097168146408367636l_real C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7731 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_nat) (C tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_hj A) B) C) S) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat B A)) (tptp.groups1935376822645274424al_nat C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_hj A) B) C) S) (tptp.groups1935376822645274424al_nat C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7732 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_int) (C tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups1932886352136224148al_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_hk A) B) C) S) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int B A)) (tptp.groups1932886352136224148al_int C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups1932886352136224148al_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_hk A) B) C) S) (tptp.groups1932886352136224148al_int C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a7733 (= tptp.nat_set_encode (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7734 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (B tptp.int) (F tptp.fun_int_real)) (=> (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.member_int B) (tptp.minus_minus_set_int B2 A2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F B))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B2)) (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_real (tptp.groups8778361861064173332t_real F A2)) (tptp.groups8778361861064173332t_real F B2))))))))))
% 16.70/16.92 (assume a7735 (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))))))))))
% 16.70/16.92 (assume a7736 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (B tptp.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_set_int_bool (tptp.member_int B) (tptp.minus_minus_set_int B2 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 B))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int 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_int_nat F X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups4541462559716669496nt_nat F B2))))))))))
% 16.70/16.92 (assume a7737 (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))))))))))
% 16.70/16.92 (assume a7738 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (B tptp.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_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B2 A2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_complex_int F B))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int F X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups5690904116761175830ex_int F A2)) (tptp.groups5690904116761175830ex_int F B2))))))))))
% 16.70/16.92 (assume a7739 (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))))))))))
% 16.70/16.92 (assume a7740 (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))))))))))
% 16.70/16.92 (assume a7741 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (B tptp.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)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B2 A2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int F B))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B2)) (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 X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups1932886352136224148al_int F A2)) (tptp.groups1932886352136224148al_int F B2))))))))))
% 16.70/16.92 (assume a7742 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (B tptp.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.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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F B))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B2)) (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_int (tptp.groups3539618377306564664at_int F A2)) (tptp.groups3539618377306564664at_int F B2))))))))))
% 16.70/16.92 (assume a7743 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (B tptp.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.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_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F B))) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat 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_nat_nat F X4))))) (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) A2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) B2))))))))))
% 16.70/16.92 (assume a7744 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex I2 tptp.bot_bot_set_complex)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F X4))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F I2)) (tptp.groups1752964319039525884d_enat F A2))))))))
% 16.70/16.92 (assume a7745 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex I2 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 I2)) (tptp.groups5808333547571424918x_real F A2))))))))
% 16.70/16.92 (assume a7746 (forall ((I2 tptp.int) (A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) 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 I2 tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F X4))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_int_Extended_enat F I2)) (tptp.groups4225252721152677374d_enat F A2))))))))
% 16.70/16.92 (assume a7747 (forall ((I2 tptp.int) (A2 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) 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 I2 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 I2)) (tptp.groups8778361861064173332t_real F A2))))))))
% 16.70/16.92 (assume a7748 (forall ((I2 tptp.real) (A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) 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 I2 tptp.bot_bot_set_real)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F X4))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_rea1194391308913012860d_enat F I2)) (tptp.groups2800946370649118462d_enat F A2))))))))
% 16.70/16.92 (assume a7749 (forall ((I2 tptp.real) (A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) 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 I2 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 I2)) (tptp.groups8097168146408367636l_real F A2))))))))
% 16.70/16.92 (assume a7750 (forall ((I2 tptp.nat) (A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) 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 I2 tptp.bot_bot_set_nat)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F X4))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F I2)) (tptp.groups7108830773950497114d_enat F A2))))))))
% 16.70/16.92 (assume a7751 (forall ((I2 tptp.complex) (A2 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) A2)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex I2 tptp.bot_bot_set_complex)))) (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_set_complex_bool tptp.finite3207457112153483333omplex A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I2)) (tptp.groups5693394587270226106ex_nat F A2))))))))
% 16.70/16.92 (assume a7752 (forall ((I2 tptp.int) (A2 tptp.set_int) (F tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) 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 I2 tptp.bot_bot_set_int)))) (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_set_int_bool tptp.finite_finite_int A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I2)) (tptp.groups4541462559716669496nt_nat F A2))))))))
% 16.70/16.92 (assume a7753 (forall ((I2 tptp.real) (A2 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) 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 I2 tptp.bot_bot_set_real)))) (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_set_real_bool tptp.finite_finite_real A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I2)) (tptp.groups1935376822645274424al_nat F A2))))))))
% 16.70/16.92 (assume a7754 (forall ((I6 tptp.set_real) (X tptp.fun_real_real) (A tptp.fun_real_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real X I4))))) (=> (= (tptp.groups8097168146408367636l_real X I6) tptp.one_one_real) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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 I4)) 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_hl X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7755 (forall ((I6 tptp.set_int) (X tptp.fun_int_real) (A tptp.fun_int_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real X I4))))) (=> (= (tptp.groups8778361861064173332t_real X I6) tptp.one_one_real) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4)) 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_hm X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7756 (forall ((I6 tptp.set_complex) (X tptp.fun_complex_real) (A tptp.fun_complex_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real X I4))))) (=> (= (tptp.groups5808333547571424918x_real X I6) tptp.one_one_real) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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_complex_real A I4)) 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.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_hn X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7757 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (X tptp.fun_Pr672294278902479040t_real) (A tptp.fun_Pr672294278902479040t_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_Pro6168199777849092593t_real X I4))))) (=> (= (tptp.groups4567486121110086003t_real X I6) tptp.one_one_real) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) 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_Pro6168199777849092593t_real A I4)) 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.groups4567486121110086003t_real (tptp.aa_fun8712866722335801276t_real (tptp.aTP_Lamm_ho X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7758 (forall ((I6 tptp.set_nat) (X tptp.fun_nat_int) (A tptp.fun_nat_int) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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 X I4))))) (=> (= (tptp.groups3539618377306564664at_int X I6) tptp.one_one_int) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 A I4)) B))) Delta)))) (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.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_hp X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7759 (forall ((I6 tptp.set_real) (X tptp.fun_real_int) (A tptp.fun_real_int) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 X I4))))) (=> (= (tptp.groups1932886352136224148al_int X I6) tptp.one_one_int) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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_real_int A I4)) B))) Delta)))) (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.groups1932886352136224148al_int (tptp.aa_fun8270430325945277160al_int (tptp.aTP_Lamm_hq X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7760 (forall ((I6 tptp.set_complex) (X tptp.fun_complex_int) (A tptp.fun_complex_int) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int X I4))))) (=> (= (tptp.groups5690904116761175830ex_int X I6) tptp.one_one_int) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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_complex_int A I4)) B))) Delta)))) (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.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aTP_Lamm_hr X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7761 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (X tptp.fun_Pr7647638413817135296at_int) (A tptp.fun_Pr7647638413817135296at_int) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_Pro4240683299535347697at_int X I4))))) (=> (= (tptp.groups975429370522433651at_int X I6) tptp.one_one_int) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (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_Pro4240683299535347697at_int A I4)) B))) Delta)))) (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.groups975429370522433651at_int (tptp.aa_fun5318087603999652924at_int (tptp.aTP_Lamm_hs X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7762 (forall ((I6 tptp.set_nat) (X tptp.fun_nat_real) (A tptp.fun_nat_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real X I4))))) (=> (= (tptp.groups6591440286371151544t_real X I6) tptp.one_one_real) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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_nat_real A I4)) 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.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ht X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7763 (forall ((I6 tptp.set_int) (X tptp.fun_int_int) (A tptp.fun_int_int) (B tptp.int) (Delta tptp.int)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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 X I4))))) (=> (= (tptp.groups4538972089207619220nt_int X I6) tptp.one_one_int) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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 A I4)) B))) Delta)))) (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.groups4538972089207619220nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_hu X) A) I6)) B))) Delta)))))))
% 16.70/16.92 (assume a7764 (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)))))))
% 16.70/16.92 (assume a7765 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi)))))))
% 16.70/16.92 (assume a7766 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X)) tptp.zero_zero_real))))))
% 16.70/16.92 (assume a7767 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real X))) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 16.70/16.92 (assume a7768 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex M)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 16.70/16.92 (assume a7769 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real X))) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 16.70/16.92 (assume a7770 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex M)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 16.70/16.92 (assume a7771 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 16.70/16.92 (assume a7772 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) (tptp.aa_real_real tptp.arccos X)))))))
% 16.70/16.92 (assume a7773 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X)) tptp.zero_zero_real))))))
% 16.70/16.92 (assume a7774 (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_hv F) (tptp.aa_nat_set_nat (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_hv F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) tptp.zero_zero_complex)))))
% 16.70/16.92 (assume a7775 (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_hw F) (tptp.aa_nat_set_nat (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_hw F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) tptp.zero_zero_int)))))
% 16.70/16.92 (assume a7776 (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.groups6591440286371151544t_real (tptp.aTP_Lamm_hx F) (tptp.aa_nat_set_nat (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.groups6591440286371151544t_real (tptp.aTP_Lamm_hx F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a7777 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_hy F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F N)) (tptp.aa_nat_complex F M))))))
% 16.70/16.92 (assume a7778 (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_hz F) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7779 (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ia F) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7780 (forall ((F tptp.fun_nat_complex) (E tptp.real)) (=> (tptp.summable_complex F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N7 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) M2)) (forall ((N8 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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N8)))) E))))))))))))
% 16.70/16.92 (assume a7781 (forall ((F tptp.fun_nat_real) (E tptp.real)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N7 tptp.nat)) (not (forall ((M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) M2)) (forall ((N8 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.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N8)))) E))))))))))))
% 16.70/16.92 (assume a7782 (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_bq N))))))
% 16.70/16.92 (assume a7783 (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_bq N))))))
% 16.70/16.92 (assume a7784 (forall ((M tptp.nat) (N tptp.nat) (X 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) X)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7785 (forall ((M tptp.nat) (N tptp.nat) (X 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) X)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) (tptp.aa_nat_set_nat (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 X) M)) (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7786 (forall ((M tptp.nat) (N tptp.nat) (X 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) X)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7787 (forall ((G tptp.fun_nat_complex) (M tptp.nat) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_ib G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7788 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_ic G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7789 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_id G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7790 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ie G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a7791 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y))))))
% 16.70/16.92 (assume a7792 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) (tptp.aa_real_real tptp.arccos X))))))
% 16.70/16.92 (assume a7793 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 16.70/16.92 (assume a7794 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex X) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 16.70/16.92 (assume a7795 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 16.70/16.92 (assume a7796 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex X) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 16.70/16.92 (assume a7797 (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_bq N))))))
% 16.70/16.92 (assume a7798 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_am) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7799 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7800 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a7801 (forall ((A tptp.extended_enat) (D tptp.extended_enat) (N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7108830773950497114d_enat (tptp.aa_Ext1337733060012393797d_enat (tptp.aTP_Lamm_if A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) tptp.one_on7984719198319812577d_enat)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) D))))))
% 16.70/16.92 (assume a7802 (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_ig A) D) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7803 (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_ih A) D) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7804 (forall ((A tptp.code_integer) (D tptp.code_integer) (N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_ii A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) D))))))
% 16.70/16.92 (assume a7805 (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_ij A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.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))))))
% 16.70/16.92 (assume a7806 (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.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ik A) D) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7807 (forall ((N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a7808 (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.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7809 (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.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7810 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_Cod1783974652533396728nteger (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)))))
% 16.70/16.92 (assume a7811 (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.aa_nat_set_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)))))
% 16.70/16.92 (assume a7812 (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.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7813 (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_il A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) D)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7814 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_am) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7815 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7816 (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))))))))))
% 16.70/16.92 (assume a7817 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y)))))))
% 16.70/16.92 (assume a7818 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.92 (assume a7819 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7820 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.sin_real X)) X)))))
% 16.70/16.92 (assume a7821 (forall ((A tptp.int) (D tptp.int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_ig A) D) (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7822 (forall ((A tptp.code_integer) (D tptp.code_integer) (N tptp.nat)) (= (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_ii A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) tptp.one_one_Code_integer)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) D))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.92 (assume a7823 (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_ij A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.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))))))
% 16.70/16.92 (assume a7824 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7825 (forall ((N tptp.nat)) (= (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (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))))))
% 16.70/16.92 (assume a7826 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.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))))))
% 16.70/16.92 (assume a7827 (forall ((N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7108830773950497114d_enat tptp.semiri4216267220026989637d_enat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a7828 (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.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7829 (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.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7830 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_Cod1783974652533396728nteger (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)))))
% 16.70/16.92 (assume a7831 (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.aa_nat_set_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)))))
% 16.70/16.92 (assume a7832 (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.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a7833 (forall ((X tptp.complex) (M tptp.nat) (N tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat (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 (= X tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat (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 X) M)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 16.70/16.92 (assume a7834 (forall ((X tptp.real) (M tptp.nat) (N tptp.nat)) (and (=> (= X tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (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 (= X tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (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.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))))))
% 16.70/16.92 (assume a7835 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 16.70/16.92 (assume a7836 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 16.70/16.92 (assume a7837 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sin_real Y))))))))))
% 16.70/16.92 (assume a7838 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.arcsin X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) X)))))))))
% 16.70/16.92 (assume a7839 (forall ((Theta tptp.real)) (not (forall ((K2 tptp.int)) (not (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real Theta)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Theta) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real K2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))))))
% 16.70/16.92 (assume a7840 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (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))))))
% 16.70/16.92 (assume a7841 (forall ((N tptp.nat)) (= (tptp.groups7501900531339628137nteger tptp.semiri4939895301339042750nteger (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (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))))))
% 16.70/16.92 (assume a7842 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_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))))))
% 16.70/16.92 (assume a7843 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.70/16.92 (assume a7844 (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_in 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)))))))))
% 16.70/16.92 (assume a7845 (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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) N))) H)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real H) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ip 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)))))))))
% 16.70/16.92 (assume a7846 (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.aa_real_fun_nat_real tptp.aTP_Lamm_iq Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (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)))))))))
% 16.70/16.92 (assume a7847 (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_ir 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)))))))))
% 16.70/16.92 (assume a7848 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M5)) (tptp.aa_nat_real X6 N3))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.70/16.92 (assume a7849 (forall ((X6 tptp.fun_nat_set_real)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 M5)) (tptp.aa_nat_set_real X6 N3))))) (tptp.topolo2489691266198938127t_real X6))))
% 16.70/16.92 (assume a7850 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 M5)) (tptp.aa_nat_set_nat X6 N3))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.70/16.92 (assume a7851 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M5)) (tptp.aa_nat_num X6 N3))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.70/16.92 (assume a7852 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M5)) (tptp.aa_nat_nat X6 N3))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.70/16.92 (assume a7853 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M5)) (tptp.aa_nat_int X6 N3))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.70/16.92 (assume a7854 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) 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 M5))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.70/16.92 (assume a7855 (forall ((X6 tptp.fun_nat_set_real)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 N3)) (tptp.aa_nat_set_real X6 M5))))) (tptp.topolo2489691266198938127t_real X6))))
% 16.70/16.92 (assume a7856 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N3)) (tptp.aa_nat_set_nat X6 M5))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.70/16.92 (assume a7857 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) 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 M5))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.70/16.92 (assume a7858 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) 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 M5))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.70/16.92 (assume a7859 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M5 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) 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 M5))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.70/16.92 (assume a7860 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M6)) (tptp.aa_nat_real X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N5)) (tptp.aa_nat_real X6 M6)))))))))
% 16.70/16.92 (assume a7861 (forall ((X6 tptp.fun_nat_set_real)) (= (tptp.topolo2489691266198938127t_real X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 M6)) (tptp.aa_nat_set_real X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 N5)) (tptp.aa_nat_set_real X6 M6)))))))))
% 16.70/16.92 (assume a7862 (forall ((X6 tptp.fun_nat_set_nat)) (= (tptp.topolo7278393974255667507et_nat X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 M6)) (tptp.aa_nat_set_nat X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N5)) (tptp.aa_nat_set_nat X6 M6)))))))))
% 16.70/16.92 (assume a7863 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M6)) (tptp.aa_nat_num X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N5)) (tptp.aa_nat_num X6 M6)))))))))
% 16.70/16.92 (assume a7864 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M6)) (tptp.aa_nat_nat X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N5)) (tptp.aa_nat_nat X6 M6)))))))))
% 16.70/16.92 (assume a7865 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M6)) (tptp.aa_nat_int X6 N5))))) (forall ((M6 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N5)) (tptp.aa_nat_int X6 M6)))))))))
% 16.70/16.92 (assume a7866 (forall ((I2 tptp.extended_enat) (K tptp.extended_enat)) (= (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.member_Extended_enat I2) (tptp.set_or8419480210114673929d_enat K))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat I2) K)))))
% 16.70/16.92 (assume a7867 (forall ((I2 tptp.num) (K tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I2) (tptp.set_ord_lessThan_num K))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num I2) K)))))
% 16.70/16.92 (assume a7868 (forall ((I2 tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) (tptp.set_ord_lessThan_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I2) K)))))
% 16.70/16.92 (assume a7869 (forall ((I2 tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) (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 I2) K)))))
% 16.70/16.92 (assume a7870 (forall ((I2 tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) (tptp.set_or5984915006950818249n_real K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I2) K)))))
% 16.70/16.92 (assume a7871 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_lessThan_num X)) (tptp.set_ord_lessThan_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 16.70/16.92 (assume a7872 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_lessThan_int X)) (tptp.set_ord_lessThan_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 16.70/16.92 (assume a7873 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat X)) (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 X) Y)))))
% 16.70/16.92 (assume a7874 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or5984915006950818249n_real X)) (tptp.set_or5984915006950818249n_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.92 (assume a7875 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_complex G N)))))
% 16.70/16.92 (assume a7876 (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)))))
% 16.70/16.92 (assume a7877 (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)))))
% 16.70/16.92 (assume a7878 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 16.70/16.92 (assume a7879 (forall ((A tptp.fun_nat_complex) (X tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_em A)) X)) (= (tptp.aa_nat_complex A tptp.zero_zero_nat) X))))
% 16.70/16.92 (assume a7880 (forall ((A tptp.fun_nat_real) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_en A)) X)) (= (tptp.aa_nat_real A tptp.zero_zero_nat) X))))
% 16.70/16.92 (assume a7881 (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_is Q) P) (tptp.set_or5984915006950818249n_real N))))))
% 16.70/16.92 (assume a7882 (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_it Q) P)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7883 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (S3 tptp.real) (T tptp.real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real G N3)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S3)) (=> (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 S3) T)))))))
% 16.70/16.92 (assume a7884 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat) (S3 tptp.nat) (T tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat G N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) S3)) (=> (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 S3) T)))))))
% 16.70/16.92 (assume a7885 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int) (S3 tptp.int) (T tptp.int)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int G N3)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) S3)) (=> (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 S3) T)))))))
% 16.70/16.92 (assume a7886 (forall ((F tptp.fun_nat_complex) (A tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) A)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fc F) C)) (tptp.aa_complex_complex (tptp.times_times_complex A) C))))))
% 16.70/16.92 (assume a7887 (forall ((F tptp.fun_nat_real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) A)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fd F) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))))))
% 16.70/16.92 (assume a7888 (forall ((F tptp.fun_nat_complex) (A tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) A)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fa F) C)) (tptp.aa_complex_complex (tptp.times_times_complex C) A))))))
% 16.70/16.92 (assume a7889 (forall ((F tptp.fun_nat_real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) A)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fb F) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A))))))
% 16.70/16.92 (assume a7890 (forall ((F tptp.fun_nat_complex) (A tptp.complex) (G tptp.fun_nat_complex) (B tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) A)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex G) B)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ev F) G)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)))))))
% 16.70/16.92 (assume a7891 (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_ew F) G)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)))))))
% 16.70/16.92 (assume a7892 (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_ex F) G)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.70/16.92 (assume a7893 (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_ey F) G)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.70/16.92 (assume a7894 (forall ((F tptp.fun_nat_real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) A)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_et F) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C))))))
% 16.70/16.92 (assume a7895 (forall ((F tptp.fun_nat_complex) (A tptp.complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) A)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_eu F) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C))))))
% 16.70/16.92 (assume a7896 (forall ((U tptp.extended_enat)) (= (tptp.set_or8419480210114673929d_enat U) (tptp.collec4429806609662206161d_enat (tptp.aa_Ext291666158496884126t_bool tptp.aTP_Lamm_iu U)))))
% 16.70/16.92 (assume a7897 (forall ((U tptp.num)) (= (tptp.set_ord_lessThan_num U) (tptp.collect_num (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_iv U)))))
% 16.70/16.92 (assume a7898 (forall ((U tptp.int)) (= (tptp.set_ord_lessThan_int U) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_iw U)))))
% 16.70/16.92 (assume a7899 (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_bq U)))))
% 16.70/16.92 (assume a7900 (forall ((U tptp.real)) (= (tptp.set_or5984915006950818249n_real U) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ix U)))))
% 16.70/16.92 (assume a7901 (forall ((F tptp.fun_nat_complex) (N tptp.nat) (S3 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr F) N)) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) (tptp.aa_complex_complex (tptp.plus_plus_complex S3) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.70/16.92 (assume a7902 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_eq F) N)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S3) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.70/16.92 (assume a7903 (forall ((F tptp.fun_nat_complex) (S3 tptp.complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr F) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex S3) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.70/16.92 (assume a7904 (forall ((F tptp.fun_nat_real) (S3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_eq F) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real S3) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.70/16.92 (assume a7905 (forall ((F tptp.fun_nat_complex) (N tptp.nat) (S3 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr F) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex S3) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S3)))))
% 16.70/16.92 (assume a7906 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_eq F) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real S3) (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) S3)))))
% 16.70/16.92 (assume a7907 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.ord_le2529575680413868914d_enat (tptp.set_or8419480210114673929d_enat M)) (tptp.set_or8419480210114673929d_enat N))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat M) N)))))
% 16.70/16.92 (assume a7908 (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)))))
% 16.70/16.92 (assume a7909 (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)))))
% 16.70/16.92 (assume a7910 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_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)))))
% 16.70/16.92 (assume a7911 (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)))))
% 16.70/16.92 (assume a7912 (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_iy C) F)) (tptp.aa_complex_complex (tptp.times_times_complex D) C))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) D))))))
% 16.70/16.92 (assume a7913 (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_iz 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))))))
% 16.70/16.92 (assume a7914 (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_er C) F)) (tptp.aa_complex_complex (tptp.times_times_complex C) D))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) D))))))
% 16.70/16.92 (assume a7915 (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_es 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))))))
% 16.70/16.92 (assume a7916 (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)))))
% 16.70/16.92 (assume a7917 (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_is 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))))))
% 16.70/16.92 (assume a7918 (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_ja 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))))))
% 16.70/16.92 (assume a7919 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat) (F tptp.fun_complex_nat)) (=> (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 G X4)) (tptp.aa_complex_nat F X4))))) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aTP_Lamm_jb G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5693394587270226106ex_nat F A2)) (tptp.groups5693394587270226106ex_nat G A2))))))
% 16.70/16.92 (assume a7920 (forall ((A2 tptp.set_Pr1261947904930325089at_nat) (G tptp.fun_Pr2602117396471556196at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_Pro4243173770044397973at_nat G X4)) (tptp.aa_Pro4243173770044397973at_nat F X4))))) (= (tptp.groups977919841031483927at_nat (tptp.aa_fun2351638177499875132at_nat (tptp.aTP_Lamm_jc G) F) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups977919841031483927at_nat F A2)) (tptp.groups977919841031483927at_nat G A2))))))
% 16.70/16.92 (assume a7921 (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_it 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))))))
% 16.70/16.92 (assume a7922 (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 ((Xa3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa3) A2)) (=> (not (= X3 Xa3)) (= (tptp.aa_complex_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.70/16.92 (assume a7923 (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 ((Xa3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa3) A2)) (=> (not (= X3 Xa3)) (= (tptp.aa_nat_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.70/16.92 (assume a7924 (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))))))))
% 16.70/16.92 (assume a7925 (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 ((Xa3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa3) A2)) (=> (not (= X3 Xa3)) (= (tptp.aa_complex_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.70/16.92 (assume a7926 (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 ((Xa3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa3) A2)) (=> (not (= X3 Xa3)) (= (tptp.aa_nat_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.70/16.92 (assume a7927 (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_es 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)))))))
% 16.70/16.92 (assume a7928 (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_er 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)))))))
% 16.70/16.92 (assume a7929 (forall ((F tptp.fun_nat_complex) (S3 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_fp F)) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S3))))))
% 16.70/16.92 (assume a7930 (forall ((F tptp.fun_nat_real) (S3 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_ez F)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S3))))))
% 16.70/16.92 (assume a7931 (forall ((F tptp.fun_nat_complex) (L tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_fp F)) L)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) (tptp.aa_complex_complex (tptp.plus_plus_complex L) (tptp.aa_nat_complex F tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7932 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_ez 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)))))))
% 16.70/16.92 (assume a7933 (forall ((F tptp.fun_nat_nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aTP_Lamm_gq 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)))))))
% 16.70/16.92 (assume a7934 (forall ((F tptp.fun_nat_int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aTP_Lamm_gx 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)))))))
% 16.70/16.92 (assume a7935 (forall ((F tptp.fun_nat_complex) (S3 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_fp F)) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) (tptp.aa_complex_complex (tptp.plus_plus_complex S3) (tptp.aa_nat_complex F tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7936 (forall ((F tptp.fun_nat_real) (S3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_ez F)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S3) (tptp.aa_nat_real F tptp.zero_zero_nat)))))))
% 16.70/16.92 (assume a7937 (forall ((N tptp.nat) (F tptp.fun_nat_complex) (S3 tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (= (tptp.aa_nat_complex F I4) tptp.zero_zero_complex))) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_jd N) F)) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex F) S3))))))
% 16.70/16.92 (assume a7938 (forall ((N tptp.nat) (F tptp.fun_nat_real) (S3 tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (= (tptp.aa_nat_real F I4) tptp.zero_zero_real))) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_je N) F)) S3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S3))))))
% 16.70/16.92 (assume a7939 (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))))))
% 16.70/16.92 (assume a7940 (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_jf 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)))))
% 16.70/16.92 (assume a7941 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_jg G) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7942 (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_ak (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_dk N) C))) tptp.zero_zero_complex))))
% 16.70/16.92 (assume a7943 (forall ((M tptp.nat) (Z tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_jh M) Z)) (tptp.aa_nat_complex (tptp.power_power_complex Z) M)))))
% 16.70/16.92 (assume a7944 (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_ji M) Z)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) M)))))
% 16.70/16.92 (assume a7945 (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_jj M) Z)) (tptp.aa_nat_int (tptp.power_power_int Z) M)))))
% 16.70/16.92 (assume a7946 (forall ((A tptp.fun_nat_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_em A)) (tptp.aa_nat_complex A tptp.zero_zero_nat)))))
% 16.70/16.92 (assume a7947 (forall ((A tptp.fun_nat_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_en A)) (tptp.aa_nat_real A tptp.zero_zero_nat)))))
% 16.70/16.92 (assume a7948 (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)))))))
% 16.70/16.92 (assume a7949 (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 B2) A2)) (= (tptp.groups1935376822645274424al_nat F (tptp.minus_minus_set_real A2 B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat F A2)) (tptp.groups1935376822645274424al_nat F B2)))))))
% 16.70/16.92 (assume a7950 (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.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)))))))
% 16.70/16.92 (assume a7951 (forall ((G tptp.fun_nat_complex) (S tptp.complex) (A2 tptp.set_nat) (S5 tptp.complex) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex G) S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (= S5 (tptp.aa_complex_complex (tptp.plus_plus_complex S) (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_jk G) F) A2))) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_set5115289136882354743omplex (tptp.aTP_Lamm_jl G) A2) F)) S5)))))))
% 16.70/16.92 (assume a7952 (forall ((G tptp.fun_nat_real) (S tptp.real) (A2 tptp.set_nat) (S5 tptp.real) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (= S5 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real S) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_jm G) F) A2))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_set1316517696749040435t_real (tptp.aTP_Lamm_jn G) A2) F)) S5)))))))
% 16.70/16.92 (assume a7953 (forall ((F tptp.fun_nat_int) (X tptp.int)) (=> (tptp.summable_int F) (=> (forall ((N3 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 N3))) X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.suminf_int F)) X))))))
% 16.70/16.92 (assume a7954 (forall ((F tptp.fun_nat_nat) (X tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N3 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 N3))) X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.suminf_nat F)) X))))))
% 16.70/16.92 (assume a7955 (forall ((F tptp.fun_nat_real) (X tptp.real)) (=> (tptp.summable_real F) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N3))) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real F)) X))))))
% 16.70/16.92 (assume a7956 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7957 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7958 (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_gq G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7959 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7960 (forall ((F tptp.fun_nat_complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_jo F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F tptp.zero_zero_nat)) (tptp.aa_nat_complex F M)))))
% 16.70/16.92 (assume a7961 (forall ((F tptp.fun_nat_int) (M tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jp 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)))))
% 16.70/16.92 (assume a7962 (forall ((F tptp.fun_nat_real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_jq 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)))))
% 16.70/16.92 (assume a7963 (forall ((F tptp.fun_nat_complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_gy F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F M)) (tptp.aa_nat_complex F tptp.zero_zero_nat)))))
% 16.70/16.92 (assume a7964 (forall ((F tptp.fun_nat_int) (M tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_gz 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)))))
% 16.70/16.92 (assume a7965 (forall ((F tptp.fun_nat_real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ha 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)))))
% 16.70/16.92 (assume a7966 (forall ((F tptp.fun_nat_int) (N tptp.nat) (R tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) R)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_jr F) R) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7967 (forall ((F tptp.fun_nat_complex) (N tptp.nat) (R tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) R)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_js F) R) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7968 (forall ((F tptp.fun_nat_Code_integer) (N tptp.nat) (R tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.groups7501900531339628137nteger F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) R)) (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_jt F) R) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7969 (forall ((F tptp.fun_nat_real) (N tptp.nat) (R tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups6591440286371151544t_real F (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_nat_real tptp.semiri5074537144036343181t_real N)) R)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ju F) R) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7970 (forall ((F tptp.fun_nat_int) (X tptp.int)) (=> (forall ((N3 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 N3)))) (=> (forall ((N3 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 N3))) X))) (tptp.summable_int F)))))
% 16.70/16.92 (assume a7971 (forall ((F tptp.fun_nat_nat) (X tptp.nat)) (=> (forall ((N3 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 N3)))) (=> (forall ((N3 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 N3))) X))) (tptp.summable_nat F)))))
% 16.70/16.92 (assume a7972 (forall ((F tptp.fun_nat_real) (X tptp.real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N3))) X))) (tptp.summable_real F)))))
% 16.70/16.92 (assume a7973 (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_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_gq G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7974 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a7975 (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_ak (tptp.collect_complex (tptp.aTP_Lamm_bv N))) tptp.zero_zero_complex))))
% 16.70/16.92 (assume a7976 (forall ((X 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 X) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7977 (forall ((X 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 X) 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) X)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7978 (forall ((X 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.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7979 (forall ((X tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) tptp.one_one_complex)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7980 (forall ((X 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 X) 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 X) tptp.one_one_int)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7981 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) 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 X) tptp.one_one_real)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a7982 (forall ((X tptp.complex) (N tptp.nat)) (=> (not (= X tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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 X) N)) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X) tptp.one_one_complex))))))
% 16.70/16.92 (assume a7983 (forall ((X tptp.real) (N tptp.nat)) (=> (not (= X tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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.aa_real_fun_nat_real tptp.power_power_real X) N)) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real))))))
% 16.70/16.92 (assume a7984 (forall ((F tptp.fun_nat_complex) (K tptp.nat)) (=> (tptp.summable_complex F) (= (tptp.suminf_complex F) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.suminf_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr F) K))) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 16.70/16.92 (assume a7985 (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_eq F) K))) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 16.70/16.92 (assume a7986 (forall ((F tptp.fun_nat_complex) (K tptp.nat)) (=> (tptp.summable_complex F) (= (tptp.suminf_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr F) K)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.suminf_complex F)) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 16.70/16.92 (assume a7987 (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_eq F) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.suminf_real F)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 16.70/16.92 (assume a7988 (forall ((F tptp.fun_nat_int) (N tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (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 M5))))) (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)))))))
% 16.70/16.92 (assume a7989 (forall ((F tptp.fun_nat_nat) (N tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (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 M5))))) (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)))))))
% 16.70/16.92 (assume a7990 (forall ((F tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F M5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))
% 16.70/16.92 (assume a7991 (forall ((X tptp.complex) (N tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (=> (not (= X tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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 X) N))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 16.70/16.92 (assume a7992 (forall ((X tptp.real) (N tptp.nat)) (and (=> (= X tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (not (= X tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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.aa_real_fun_nat_real tptp.power_power_real X) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))))))
% 16.70/16.92 (assume a7993 (forall ((Z tptp.complex) (H tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_jv 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_jw Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 16.70/16.92 (assume a7994 (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_jx 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_jy Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 16.70/16.92 (assume a7995 (forall ((Z tptp.real) (H tptp.real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_jz Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ka Z) H) M) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M)))))
% 16.70/16.92 (assume a7996 (forall ((X tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) (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 X) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_kb X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7997 (forall ((X 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 X) (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 X) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_kc X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7998 (forall ((X 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.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.aa_real_fun_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 X) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_kd X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.70/16.92 (assume a7999 (forall ((X tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) 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 X) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_ke X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8000 (forall ((X 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 X) 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 X) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_kf X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8001 (forall ((X 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.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_kg X) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8002 (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.aa_real_fun_nat_real tptp.power_power_real C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) C)))))))
% 16.70/16.92 (assume a8003 (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)))))))
% 16.70/16.92 (assume a8004 (tptp.pp (tptp.aa_real_bool (tptp.sums_real tptp.aTP_Lamm_kh) tptp.one_one_real)))
% 16.70/16.92 (assume a8005 (forall ((N tptp.nat) (F tptp.fun_nat_Code_integer) (K5 tptp.code_integer) (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_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer F P4)) K5)))) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) K5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.groups7501900531339628137nteger 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_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) K5)))))))
% 16.70/16.92 (assume a8006 (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)))))))
% 16.70/16.92 (assume a8007 (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)))))))
% 16.70/16.92 (assume a8008 (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.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)))))))
% 16.70/16.92 (assume a8009 (forall ((F tptp.fun_nat_int) (N tptp.nat) (I2 tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (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 M5))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I2)) (=> (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 I2))) (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)))))))))
% 16.70/16.92 (assume a8010 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (I2 tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (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 M5))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I2)) (=> (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 I2))) (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)))))))))
% 16.70/16.92 (assume a8011 (forall ((F tptp.fun_nat_real) (N tptp.nat) (I2 tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F M5))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))))
% 16.70/16.92 (assume a8012 (forall ((X 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 X) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ki X) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8013 (forall ((X 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 X) 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) X)) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_kj X) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8014 (forall ((X 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.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_kk X) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8015 (forall ((G tptp.fun_nat_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_kl G)) X)))))
% 16.70/16.92 (assume a8016 (forall ((G tptp.fun_nat_real) (X tptp.real) (F tptp.fun_nat_real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) Y)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_km G) F)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))))
% 16.70/16.92 (assume a8017 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_kn F) G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ko F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_kp G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8018 (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_an (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)))))))
% 16.70/16.92 (assume a8019 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((D2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D2)))) (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D2)) tptp.one_one_nat))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.suminf_real F)))))))
% 16.70/16.92 (assume a8020 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N3)) (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N3))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.70/16.92 (assume a8021 (forall ((X6 tptp.fun_nat_set_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 N3)) (tptp.aa_nat_set_real X6 (tptp.aa_nat_nat tptp.suc N3))))) (tptp.topolo2489691266198938127t_real X6))))
% 16.70/16.92 (assume a8022 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N3)) (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N3))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.70/16.92 (assume a8023 (forall ((X6 tptp.fun_nat_num)) (=> (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))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.70/16.92 (assume a8024 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N3)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N3))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.70/16.92 (assume a8025 (forall ((X6 tptp.fun_nat_int)) (=> (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))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.70/16.92 (assume a8026 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real X6 N3)))) (tptp.topolo6980174941875973593q_real X6))))
% 16.70/16.92 (assume a8027 (forall ((X6 tptp.fun_nat_set_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_set_real X6 N3)))) (tptp.topolo2489691266198938127t_real X6))))
% 16.70/16.92 (assume a8028 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_set_nat X6 N3)))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.70/16.92 (assume a8029 (forall ((X6 tptp.fun_nat_num)) (=> (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)))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.70/16.92 (assume a8030 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_nat X6 N3)))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.70/16.92 (assume a8031 (forall ((X6 tptp.fun_nat_int)) (=> (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)))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.70/16.92 (assume a8032 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N5)) (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 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 N5))) (tptp.aa_nat_real X6 N5))))))))
% 16.70/16.92 (assume a8033 (forall ((X6 tptp.fun_nat_set_real)) (= (tptp.topolo2489691266198938127t_real X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 N5)) (tptp.aa_nat_set_real X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.aa_nat_set_real X6 (tptp.aa_nat_nat tptp.suc N5))) (tptp.aa_nat_set_real X6 N5))))))))
% 16.70/16.92 (assume a8034 (forall ((X6 tptp.fun_nat_set_nat)) (= (tptp.topolo7278393974255667507et_nat X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N5)) (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N5))) (tptp.aa_nat_set_nat X6 N5))))))))
% 16.70/16.92 (assume a8035 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N5)) (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 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 N5))) (tptp.aa_nat_num X6 N5))))))))
% 16.70/16.92 (assume a8036 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N5)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 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 N5))) (tptp.aa_nat_nat X6 N5))))))))
% 16.70/16.92 (assume a8037 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (forall ((N5 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N5)) (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N5))))) (forall ((N5 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 N5))) (tptp.aa_nat_int X6 N5))))))))
% 16.70/16.92 (assume a8038 (forall ((F tptp.fun_nat_nat) (Mm tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_gq F)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Mm)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 16.70/16.92 (assume a8039 (forall ((F tptp.fun_nat_real) (Mm tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ez F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Mm)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 16.70/16.92 (assume a8040 (forall ((N tptp.nat)) (= (tptp.groups6591440286371151544t_real tptp.aTP_Lamm_kq (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)))
% 16.70/16.92 (assume a8041 (forall ((C tptp.fun_nat_real) (X tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_kr C) X)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ks C) X)) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_kr C) X)))))))
% 16.70/16.92 (assume a8042 (forall ((C tptp.fun_nat_complex) (X tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_kt C) X)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ku C) X)) (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_kt C) X)))))))
% 16.70/16.92 (assume a8043 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_kv X)) (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.92 (assume a8044 (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat))
% 16.70/16.92 (assume a8045 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex tptp.zero_zero_nat) tptp.one_one_complex))
% 16.70/16.92 (assume a8046 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int tptp.zero_zero_nat) tptp.one_one_int))
% 16.70/16.92 (assume a8047 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real tptp.zero_zero_nat) tptp.one_one_real))
% 16.70/16.92 (assume a8048 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 16.70/16.92 (assume a8049 (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat tptp.one_one_nat) tptp.one_on7984719198319812577d_enat))
% 16.70/16.92 (assume a8050 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex tptp.one_one_nat) tptp.one_one_complex))
% 16.70/16.92 (assume a8051 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int tptp.one_one_nat) tptp.one_one_int))
% 16.70/16.92 (assume a8052 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real tptp.one_one_nat) tptp.one_one_real))
% 16.70/16.92 (assume a8053 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat tptp.one_one_nat) tptp.one_one_nat))
% 16.70/16.92 (assume a8054 (= (tptp.aa_nat_real tptp.cos_coeff tptp.zero_zero_nat) tptp.one_one_real))
% 16.70/16.92 (assume a8055 (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_on7984719198319812577d_enat))
% 16.70/16.92 (assume a8056 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_complex))
% 16.70/16.92 (assume a8057 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 16.70/16.92 (assume a8058 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_real))
% 16.70/16.92 (assume a8059 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 16.70/16.92 (assume a8060 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.70/16.92 (assume a8061 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 16.70/16.92 (assume a8062 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)))))
% 16.70/16.92 (assume a8063 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.70/16.92 (assume a8064 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.70/16.92 (assume a8065 (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.92 (assume a8066 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.92 (assume a8067 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.92 (assume a8068 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.92 (assume a8069 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.92 (assume a8070 (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)))))
% 16.70/16.92 (assume a8071 (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)))))
% 16.70/16.92 (assume a8072 (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)))))
% 16.70/16.92 (assume a8073 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) tptp.zero_zero_int)))))
% 16.70/16.92 (assume a8074 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8075 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) tptp.zero_zero_nat)))))
% 16.70/16.92 (assume a8076 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.70/16.92 (assume a8077 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.70/16.92 (assume a8078 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.70/16.92 (assume a8079 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.70/16.92 (assume a8080 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.70/16.92 (assume a8081 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.70/16.92 (assume a8082 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger K)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N))) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 16.70/16.92 (assume a8083 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 16.70/16.92 (assume a8084 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 16.70/16.92 (assume a8085 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 16.70/16.92 (assume a8086 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 16.70/16.92 (assume a8087 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 16.70/16.92 (assume a8088 (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))))))
% 16.70/16.92 (assume a8089 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M))))))
% 16.70/16.92 (assume a8090 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger M))))))
% 16.70/16.92 (assume a8091 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M))))))
% 16.70/16.92 (assume a8092 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M))))))
% 16.70/16.92 (assume a8093 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger K)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N))))))
% 16.70/16.92 (assume a8094 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 16.70/16.92 (assume a8095 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 16.70/16.92 (assume a8096 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 16.70/16.92 (assume a8097 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))))
% 16.70/16.92 (assume a8098 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))
% 16.70/16.92 (assume a8099 (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)))))))
% 16.70/16.92 (assume a8100 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) tptp.zero_zero_int))))
% 16.70/16.92 (assume a8101 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) tptp.zero_zero_nat))))
% 16.70/16.92 (assume a8102 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.70/16.92 (assume a8103 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.70/16.92 (assume a8104 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.70/16.92 (assume a8105 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.70/16.92 (assume a8106 (forall ((C tptp.fun_nat_real) (X2 tptp.nat)) (= (tptp.aa_nat_real (tptp.diffs_real C) X2) (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 X2))) (tptp.aa_nat_real C (tptp.aa_nat_nat tptp.suc X2))))))
% 16.70/16.92 (assume a8107 (forall ((C tptp.fun_nat_int) (X2 tptp.nat)) (= (tptp.aa_nat_int (tptp.diffs_int C) X2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc X2))) (tptp.aa_nat_int C (tptp.aa_nat_nat tptp.suc X2))))))
% 16.70/16.92 (assume a8108 (forall ((C tptp.fun_nat_complex) (X2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.diffs_complex C) X2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc X2))) (tptp.aa_nat_complex C (tptp.aa_nat_nat tptp.suc X2))))))
% 16.70/16.92 (assume a8109 (forall ((C tptp.fun_nat_Code_integer) (X2 tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.diffs_Code_integer C) X2) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat tptp.suc X2))) (tptp.aa_nat_Code_integer C (tptp.aa_nat_nat tptp.suc X2))))))
% 16.70/16.92 (assume a8110 (forall ((K tptp.num)) (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat K)) (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 16.70/16.92 (assume a8111 (forall ((K tptp.num)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.pred_numeral K))))))
% 16.70/16.92 (assume a8112 (forall ((K tptp.num)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.pred_numeral K))))))
% 16.70/16.92 (assume a8113 (forall ((K tptp.num)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.pred_numeral K))))))
% 16.70/16.92 (assume a8114 (forall ((K tptp.num)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 16.70/16.92 (assume a8115 (forall ((C tptp.fun_nat_complex) (X tptp.complex)) (=> (forall ((X4 tptp.complex)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg C) X4))) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_kt C) X)))))
% 16.70/16.92 (assume a8116 (forall ((C tptp.fun_nat_real) (X tptp.real)) (=> (forall ((X4 tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) X4))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_kr C) X)))))
% 16.70/16.92 (assume a8117 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.70/16.92 (assume a8118 (forall ((X2 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))) X2)) (= (tptp.aa_nat_real tptp.cos_coeff X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real 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))) (= (tptp.aa_nat_real tptp.cos_coeff X2) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8119 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat M) tptp.one_on7984719198319812577d_enat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat M) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat M)) (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8120 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M) tptp.one_one_int)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8121 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex M) tptp.one_one_complex)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex M) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8122 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger M) tptp.one_one_Code_integer)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger M) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8123 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M) tptp.one_one_real)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8124 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) tptp.one_one_nat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 16.70/16.92 (assume a8125 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8126 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8127 (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_Code_integer tptp.semiri3624122377584611663nteger N) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8128 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8129 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8130 (forall ((X tptp.real) (N tptp.nat) (Diff tptp.fun_na2978037997607195054t_real)) (=> (= X tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun2748096013305118955t_real (tptp.aTP_Lamm_kw X) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_Ext2541572767299617110t_real (tptp.aa_nat6736956760766371991t_real Diff tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.92 (assume a8131 (forall ((X tptp.real) (N tptp.nat) (Diff tptp.fun_na5723442673449079972x_real)) (=> (= X tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun5746040925223427547t_real (tptp.aTP_Lamm_kx X) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_complex_real (tptp.aa_nat480766339200631653x_real Diff tptp.zero_zero_nat) tptp.zero_zero_complex))))))
% 16.70/16.92 (assume a8132 (forall ((X tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real)) (=> (= X tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ky X) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) tptp.zero_zero_real))))))
% 16.70/16.92 (assume a8133 (forall ((X tptp.real) (N tptp.nat) (Diff tptp.fun_nat_fun_nat_real)) (=> (= X tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun7039663905532832253t_real (tptp.aTP_Lamm_kz X) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Diff tptp.zero_zero_nat) tptp.zero_zero_nat))))))
% 16.70/16.92 (assume a8134 (forall ((X tptp.real) (N tptp.nat) (Diff tptp.fun_nat_fun_int_real)) (=> (= X tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun241848180832411225t_real (tptp.aTP_Lamm_la X) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_int_real (tptp.aa_nat_fun_int_real Diff tptp.zero_zero_nat) tptp.zero_zero_int))))))
% 16.70/16.92 (assume a8135 (forall ((H tptp.real) (F tptp.fun_real_real) (J tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (exists ((B7 tptp.real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_lb H) J) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B7) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))))
% 16.70/16.92 (assume a8136 (forall ((X 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 X)) 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_fe C) X4)))) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_lc X) C))))))
% 16.70/16.92 (assume a8137 (forall ((X 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 X)) 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_fg C) X4)))) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ld X) C))))))
% 16.70/16.92 (assume a8138 (forall ((X tptp.real) (N tptp.nat)) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_le X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 16.70/16.92 (assume a8139 (forall ((X tptp.real) (N tptp.nat)) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lf X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 16.70/16.92 (assume a8140 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) X)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lf X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.92 (assume a8141 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lf X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.92 (assume a8142 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lg X)) (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.92 (assume a8143 (forall ((X tptp.real) (N tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T4 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 T4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_le X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.92 (assume a8144 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) X)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.92 (assume a8145 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) X)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))))
% 16.70/16.92 (assume a8146 (forall ((X tptp.real) (N tptp.nat)) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 16.70/16.92 (assume a8147 (forall ((X tptp.real) (N tptp.nat)) (exists ((T4 tptp.real)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))
% 16.70/16.92 (assume a8148 (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))))))
% 16.70/16.92 (assume a8149 (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)))))
% 16.70/16.92 (assume a8150 (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)))))))
% 16.70/16.92 (assume a8151 (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)))))
% 16.70/16.92 (assume a8152 (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)))))))
% 16.70/16.92 (assume a8153 (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)))))))
% 16.70/16.92 (assume a8154 (forall ((R tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R) 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) R)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R))))))
% 16.70/16.92 (assume a8155 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.sin_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.cos_coeff N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8156 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.cos_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.sin_coeff N))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8157 (forall ((X2 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))) X2)) (= (tptp.aa_nat_real tptp.sin_coeff X2) 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))) X2))) (= (tptp.aa_nat_real tptp.sin_coeff X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat 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 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X2)))))))
% 16.70/16.92 (assume a8158 (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))))))))))
% 16.70/16.92 (assume a8159 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 16.70/16.92 (assume a8160 (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)))))
% 16.70/16.92 (assume a8161 (forall ((N tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat N) (tptp.aa_Ext7969882492699152700d_enat (tptp.semiri8563196900006977889d_enat tptp.aTP_Lamm_li N) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.92 (assume a8162 (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_lj) N) tptp.zero_zero_real))))
% 16.70/16.92 (assume a8163 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_int_int (tptp.semiri8420488043553186161ux_int tptp.aTP_Lamm_lk N) tptp.zero_zero_int))))
% 16.70/16.92 (assume a8164 (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_ll) N) tptp.zero_zero_nat))))
% 16.70/16.92 (assume a8165 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) (tptp.aa_complex_complex (tptp.semiri2816024913162550771omplex tptp.aTP_Lamm_lm N) tptp.zero_zero_complex))))
% 16.70/16.92 (assume a8166 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N) (tptp.semiri4055485073559036834nteger tptp.aTP_Lamm_ln N tptp.zero_z3403309356797280102nteger))))
% 16.70/16.92 (assume a8167 (forall ((R tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_lo R) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc M))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.gbinomial_complex R) (tptp.aa_nat_nat tptp.suc M))))))
% 16.70/16.92 (assume a8168 (forall ((R tptp.real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lp R) (tptp.aa_nat_set_nat (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.aa_real_fun_nat_real tptp.gbinomial_real R) (tptp.aa_nat_nat tptp.suc M))))))
% 16.70/16.92 (assume a8169 (forall ((X tptp.real)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_real tptp.ring_1_of_int_real N5))))))
% 16.70/16.92 (assume a8170 (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)))
% 16.70/16.92 (assume a8171 (forall ((K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_real)))
% 16.70/16.92 (assume a8172 (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)))
% 16.70/16.92 (assume a8173 (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)))
% 16.70/16.92 (assume a8174 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 16.70/16.92 (assume a8175 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 16.70/16.92 (assume a8176 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 16.70/16.92 (assume a8177 (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)))
% 16.70/16.92 (assume a8178 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 16.70/16.92 (assume a8179 (= (tptp.aa_real_int tptp.archim6058952711729229775r_real tptp.one_one_real) tptp.one_one_int))
% 16.70/16.92 (assume a8180 (forall ((A tptp.extended_enat)) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat A) tptp.zero_zero_nat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.92 (assume a8181 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 16.70/16.92 (assume a8182 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 16.70/16.92 (assume a8183 (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)))
% 16.70/16.92 (assume a8184 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 16.70/16.92 (assume a8185 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.92 (assume a8186 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8187 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real V)) X)))))
% 16.70/16.92 (assume a8188 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 16.70/16.92 (assume a8189 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a8190 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 16.70/16.92 (assume a8191 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 16.70/16.92 (assume a8192 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a8193 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 16.70/16.92 (assume a8194 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 16.70/16.92 (assume a8195 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int))))
% 16.70/16.92 (assume a8196 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 16.70/16.92 (assume a8197 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.70/16.92 (assume a8198 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a8199 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real))))))
% 16.70/16.92 (assume a8200 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)))))
% 16.70/16.92 (assume a8201 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.92 (assume a8202 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) X)))))
% 16.70/16.92 (assume a8203 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))))))
% 16.70/16.92 (assume a8204 (forall ((B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int (tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.70/16.92 (assume a8205 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.70/16.92 (assume a8206 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a8207 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real))))))
% 16.70/16.92 (assume a8208 (forall ((B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.70/16.92 (assume a8209 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))))))
% 16.70/16.92 (assume a8210 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) X))))
% 16.70/16.92 (assume a8211 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.92 (assume a8212 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real X) N))))))
% 16.70/16.92 (assume a8213 (forall ((X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat X) N))))))
% 16.70/16.92 (assume a8214 (forall ((X tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int X) N))))))
% 16.70/16.92 (assume a8215 (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)))))
% 16.70/16.92 (assume a8216 (forall ((A tptp.real) (N tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8217 (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))))))
% 16.70/16.92 (assume a8218 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real))))))
% 16.70/16.92 (assume a8219 (forall ((N tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.semiri4449623510593786356d_enat N) (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat tptp.one_on7984719198319812577d_enat) N))))
% 16.70/16.92 (assume a8220 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex tptp.one_one_complex) N))))
% 16.70/16.92 (assume a8221 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int tptp.one_one_int) N))))
% 16.70/16.92 (assume a8222 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.one_one_real) N))))
% 16.70/16.92 (assume a8223 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat tptp.one_one_nat) N))))
% 16.70/16.92 (assume a8224 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 16.70/16.92 (assume a8225 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.70/16.92 (assume a8226 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))))))
% 16.70/16.92 (assume a8227 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.70/16.92 (assume a8228 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 16.70/16.92 (assume a8229 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real K)) (tptp.aa_int_real tptp.ring_1_of_int_real L))) (tptp.aa_int_int (tptp.divide_divide_int K) L))))
% 16.70/16.92 (assume a8230 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) K))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)))))
% 16.70/16.92 (assume a8231 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)))))
% 16.70/16.92 (assume a8232 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)))))
% 16.70/16.92 (assume a8233 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)))))
% 16.70/16.92 (assume a8234 (forall ((X tptp.real) (N tptp.nat)) (=> (= X (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 16.70/16.92 (assume a8235 (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))))))
% 16.70/16.92 (assume a8236 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8237 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 16.70/16.92 (assume a8238 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) K) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 16.70/16.92 (assume a8239 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real X) N))))))
% 16.70/16.92 (assume a8240 (forall ((X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat X) N))))))
% 16.70/16.92 (assume a8241 (forall ((X tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int X) N))))))
% 16.70/16.92 (assume a8242 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.one_on7984719198319812577d_enat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat tptp.zero_z5237406670263579293d_enat) N) tptp.zero_z5237406670263579293d_enat)))))
% 16.70/16.92 (assume a8243 (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)))))
% 16.70/16.92 (assume a8244 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8245 (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)))))
% 16.70/16.92 (assume a8246 (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)))))
% 16.70/16.92 (assume a8247 (forall ((X tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 16.70/16.92 (assume a8248 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)))))
% 16.70/16.92 (assume a8249 (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)))))
% 16.70/16.92 (assume a8250 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8251 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8252 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 16.70/16.92 (assume a8253 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))))))
% 16.70/16.92 (assume a8254 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 16.70/16.92 (assume a8255 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)))))))
% 16.70/16.92 (assume a8256 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 16.70/16.92 (assume a8257 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)))))))
% 16.70/16.92 (assume a8258 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) N)))))
% 16.70/16.92 (assume a8259 (forall ((R tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R) (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 R))) tptp.one_one_real)))))
% 16.70/16.92 (assume a8260 (forall ((R tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R) (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 R))) tptp.one_one_real)))))
% 16.70/16.92 (assume a8261 (forall ((R 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 R) tptp.one_one_real)) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R))))))
% 16.70/16.92 (assume a8262 (forall ((R 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 R) tptp.one_one_real)) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R))))))
% 16.70/16.92 (assume a8263 (forall ((A tptp.extended_enat) (N tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat A) (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat A) tptp.one_on7984719198319812577d_enat)) N)))))
% 16.70/16.92 (assume a8264 (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)))))
% 16.70/16.92 (assume a8265 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) N)))))
% 16.70/16.92 (assume a8266 (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)))))
% 16.70/16.92 (assume a8267 (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)))))
% 16.70/16.92 (assume a8268 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.70/16.92 (assume a8269 (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))))))
% 16.70/16.92 (assume a8270 (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))))))
% 16.70/16.92 (assume a8271 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))))))
% 16.70/16.92 (assume a8272 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) N)) (tptp.plus_p5714425477246183910nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))))))
% 16.70/16.92 (assume a8273 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N)))))
% 16.70/16.92 (assume a8274 (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)))))
% 16.70/16.92 (assume a8275 (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)))))
% 16.70/16.92 (assume a8276 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N)))))
% 16.70/16.92 (assume a8277 (forall ((Z tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger Z (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) N)))))
% 16.70/16.92 (assume a8278 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real))))
% 16.70/16.92 (assume a8279 (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))))
% 16.70/16.92 (assume a8280 (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))))
% 16.70/16.92 (assume a8281 (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.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) K) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.92 (assume a8282 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 16.70/16.92 (assume a8283 (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)))))
% 16.70/16.92 (assume a8284 (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)))))
% 16.70/16.92 (assume a8285 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (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)))))
% 16.70/16.92 (assume a8286 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (exists ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K3))))))))
% 16.70/16.92 (assume a8287 (forall ((A tptp.complex) (N tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.zero_zero_complex) (exists ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K3))))))))
% 16.70/16.92 (assume a8288 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real)))))
% 16.70/16.92 (assume a8289 (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)))))
% 16.70/16.92 (assume a8290 (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)))))
% 16.70/16.92 (assume a8291 (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.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) K) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.92 (assume a8292 (forall ((Z tptp.real) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) M)))))
% 16.70/16.92 (assume a8293 (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)))))
% 16.70/16.92 (assume a8294 (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)))))
% 16.70/16.92 (assume a8295 (forall ((Z tptp.complex) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) M)))))
% 16.70/16.92 (assume a8296 (forall ((Z tptp.code_integer) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) N)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger Z (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) M)))))
% 16.70/16.92 (assume a8297 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim6058952711729229775r_real T))) (forall ((I5 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 I5)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real I5)) tptp.one_one_real)))) (tptp.pp (tptp.aa_int_bool P I5)))))))
% 16.70/16.92 (assume a8298 (forall ((X tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)))))))
% 16.70/16.92 (assume a8299 (forall ((Z tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) Z)))))
% 16.70/16.92 (assume a8300 (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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B))))))))
% 16.70/16.92 (assume a8301 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)))))
% 16.70/16.92 (assume a8302 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 16.70/16.92 (assume a8303 (forall ((X tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)))))))
% 16.70/16.92 (assume a8304 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) N)))))
% 16.70/16.92 (assume a8305 (forall ((K tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)))))
% 16.70/16.92 (assume a8306 (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)))))
% 16.70/16.92 (assume a8307 (forall ((K tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8308 (forall ((K tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 16.70/16.92 (assume a8309 (forall ((B tptp.int) (A tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_int_real tptp.ring_1_of_int_real B))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) B)))))
% 16.70/16.92 (assume a8310 (forall ((K tptp.nat) (M tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)))))))
% 16.70/16.92 (assume a8311 (forall ((K tptp.nat) (M tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) M)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)))))))
% 16.70/16.92 (assume a8312 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 16.70/16.92 (assume a8313 (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)))))))
% 16.70/16.92 (assume a8314 (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)))))))
% 16.70/16.92 (assume a8315 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) M)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 16.70/16.92 (assume a8316 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) N) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Z) M)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger Z (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 16.70/16.92 (assume a8317 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) Q2)) P2)))))
% 16.70/16.92 (assume a8318 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)))))
% 16.70/16.92 (assume a8319 (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)))))
% 16.70/16.92 (assume a8320 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K)))))))
% 16.70/16.92 (assume a8321 (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)))))))
% 16.70/16.92 (assume a8322 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) A)) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8323 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) A)) tptp.one_one_complex)) K)))))
% 16.70/16.92 (assume a8324 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.one_one_real)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) N)))))
% 16.70/16.92 (assume a8325 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) tptp.one_one_complex)) K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) N)))))
% 16.70/16.92 (assume a8326 (forall ((R 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 R) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real R)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real R)) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8327 (forall ((R 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 R) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int R)) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R) (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 R)) tptp.one_one_int)) K)))))
% 16.70/16.92 (assume a8328 (forall ((R tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex R) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R)) K)) (tptp.aa_complex_complex (tptp.times_times_complex R) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R)) tptp.one_one_complex)) K)))))
% 16.70/16.92 (assume a8329 (forall ((R tptp.code_integer) (K tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.minus_8373710615458151222nteger R (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K))) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.uminus1351360451143612070nteger R)) K)) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger R) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.uminus1351360451143612070nteger R) tptp.one_one_Code_integer)) K)))))
% 16.70/16.92 (assume a8330 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real P2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) tptp.one_one_real)) Q2))))))
% 16.70/16.92 (assume a8331 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.70/16.92 (assume a8332 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 16.70/16.92 (assume a8333 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) N) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)))))
% 16.70/16.92 (assume a8334 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.70/16.92 (assume a8335 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.92 (assume a8336 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8337 (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)))))
% 16.70/16.92 (assume a8338 (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))))))
% 16.70/16.92 (assume a8339 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K))))))
% 16.70/16.92 (assume a8340 (forall ((B tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K)))))
% 16.70/16.92 (assume a8341 (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)))))
% 16.70/16.92 (assume a8342 (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)))))
% 16.70/16.92 (assume a8343 (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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.uminus1351360451143612070nteger B)) K)))))
% 16.70/16.92 (assume a8344 (forall ((B tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 16.70/16.92 (assume a8345 (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)))))
% 16.70/16.92 (assume a8346 (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)))))
% 16.70/16.92 (assume a8347 (forall ((B tptp.code_integer) (K tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.uminus1351360451143612070nteger B)) K) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (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)))))
% 16.70/16.92 (assume a8348 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_lq K) (tptp.aa_nat_set_nat (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)))))
% 16.70/16.92 (assume a8349 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_lr K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (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)))))
% 16.70/16.92 (assume a8350 (forall ((X 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) X)) (=> (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) X)) K) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B) (tptp.aa_int_real tptp.ring_1_of_int_real K))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real 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)))))))))))
% 16.70/16.92 (assume a8351 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 16.70/16.92 (assume a8352 (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)))))))
% 16.70/16.92 (assume a8353 (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)))))
% 16.70/16.92 (assume a8354 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 16.70/16.92 (assume a8355 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.70/16.92 (assume a8356 (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)))))))
% 16.70/16.92 (assume a8357 (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_ls 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)))))))
% 16.70/16.92 (assume a8358 (forall ((K tptp.nat) (A tptp.real)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) tptp.one_one_real)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_lt 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)))))))
% 16.70/16.92 (assume a8359 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lu Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 16.70/16.92 (assume a8360 (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_lv Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 16.70/16.92 (assume a8361 (forall ((N tptp.nat) (A tptp.extended_enat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat A) N) tptp.one_on7984719198319812577d_enat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Extended_enat (tptp.comm_s3181272606743183617d_enat A) N) (tptp.aa_Ext7969882492699152700d_enat (tptp.set_fo2538466533108834004d_enat (tptp.aTP_Lamm_lw 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_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8362 (forall ((N tptp.nat) (A tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_lx 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))))))
% 16.70/16.92 (assume a8363 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_ly 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))))))
% 16.70/16.92 (assume a8364 (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_lz 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))))))
% 16.70/16.92 (assume a8365 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) N) tptp.one_one_Code_integer)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) N) (tptp.set_fo1084959871951514735nteger (tptp.aTP_Lamm_ma 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_Code_integer))))))
% 16.70/16.92 (assume a8366 (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_mb 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))))))
% 16.70/16.92 (assume a8367 (forall ((A tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_lo 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))))))
% 16.70/16.92 (assume a8368 (forall ((A tptp.real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lp 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.aa_real_fun_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))))))
% 16.70/16.92 (assume a8369 (forall ((I2 tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) (tptp.set_ord_atMost_real K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I2) K)))))
% 16.70/16.92 (assume a8370 (forall ((I2 tptp.set_real) (K tptp.set_real)) (= (tptp.member_set_real I2 (tptp.set_or5092868708245317595t_real K)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real I2) K)))))
% 16.70/16.92 (assume a8371 (forall ((I2 tptp.set_nat) (K tptp.set_nat)) (= (tptp.member_set_nat I2 (tptp.set_or4236626031148496127et_nat K)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat I2) K)))))
% 16.70/16.92 (assume a8372 (forall ((I2 tptp.num) (K tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I2) (tptp.set_ord_atMost_num K))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I2) K)))))
% 16.70/16.92 (assume a8373 (forall ((I2 tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) (tptp.set_ord_atMost_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) K)))))
% 16.70/16.92 (assume a8374 (forall ((I2 tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) (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 I2) K)))))
% 16.70/16.92 (assume a8375 (forall ((A2 tptp.set_nat)) (= (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_mc A2) tptp.one_one_nat)))
% 16.70/16.92 (assume a8376 (forall ((A2 tptp.set_nat)) (= (tptp.groups705719431365010083at_int tptp.aTP_Lamm_md A2) tptp.one_one_int)))
% 16.70/16.92 (assume a8377 (forall ((A2 tptp.set_int)) (= (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_me A2) tptp.one_one_int)))
% 16.70/16.92 (assume a8378 (forall ((G tptp.fun_na8797796813480665199d_enat)) (= (tptp.groups7961826882256487087d_enat G tptp.bot_bot_set_nat) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.92 (assume a8379 (forall ((G tptp.fun_nat_complex)) (= (tptp.groups6464643781859351333omplex G tptp.bot_bot_set_nat) tptp.one_one_complex)))
% 16.70/16.92 (assume a8380 (forall ((G tptp.fun_nat_real)) (= (tptp.groups129246275422532515t_real G tptp.bot_bot_set_nat) tptp.one_one_real)))
% 16.70/16.92 (assume a8381 (forall ((G tptp.fun_in5914218760682845459d_enat)) (= (tptp.groups5078248829458667347d_enat G tptp.bot_bot_set_int) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.92 (assume a8382 (forall ((G tptp.fun_int_complex)) (= (tptp.groups7440179247065528705omplex G tptp.bot_bot_set_int) tptp.one_one_complex)))
% 16.70/16.92 (assume a8383 (forall ((G tptp.fun_int_real)) (= (tptp.groups2316167850115554303t_real G tptp.bot_bot_set_int) tptp.one_one_real)))
% 16.70/16.92 (assume a8384 (forall ((G tptp.fun_int_nat)) (= (tptp.groups1707563613775114915nt_nat G tptp.bot_bot_set_int) tptp.one_one_nat)))
% 16.70/16.92 (assume a8385 (forall ((G tptp.fun_re6065469302365115155d_enat)) (= (tptp.groups7973222482632965587d_enat G tptp.bot_bot_set_real) tptp.one_on7984719198319812577d_enat)))
% 16.70/16.92 (assume a8386 (forall ((G tptp.fun_real_complex)) (= (tptp.groups713298508707869441omplex G tptp.bot_bot_set_real) tptp.one_one_complex)))
% 16.70/16.92 (assume a8387 (forall ((G tptp.fun_real_real)) (= (tptp.groups1681761925125756287l_real G tptp.bot_bot_set_real) tptp.one_one_real)))
% 16.70/16.92 (assume a8388 (forall ((A2 tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups7961826882256487087d_enat G A2) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.92 (assume a8389 (forall ((A2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups8780218893797010257d_enat G A2) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.92 (assume a8390 (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))))
% 16.70/16.92 (assume a8391 (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))))
% 16.70/16.92 (assume a8392 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups129246275422532515t_real G A2) tptp.one_one_real))))
% 16.70/16.92 (assume a8393 (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))))
% 16.70/16.92 (assume a8394 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups861055069439313189ex_nat G A2) tptp.one_one_nat))))
% 16.70/16.92 (assume a8395 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2))) (= (tptp.groups858564598930262913ex_int G A2) tptp.one_one_int))))
% 16.70/16.92 (assume a8396 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups708209901874060359at_nat G A2) tptp.one_one_nat))))
% 16.70/16.92 (assume a8397 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2))) (= (tptp.groups705719431365010083at_int G A2) tptp.one_one_int))))
% 16.70/16.92 (assume a8398 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (tptp.ord_le3558479182127378552t_real (tptp.set_or5092868708245317595t_real X) (tptp.set_or5092868708245317595t_real Y)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real X) Y)))))
% 16.70/16.92 (assume a8399 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4236626031148496127et_nat X) (tptp.set_or4236626031148496127et_nat Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Y)))))
% 16.70/16.92 (assume a8400 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_atMost_num X)) (tptp.set_ord_atMost_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 16.70/16.92 (assume a8401 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int X)) (tptp.set_ord_atMost_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 16.70/16.92 (assume a8402 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_ord_atMost_real X)) (tptp.set_ord_atMost_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.92 (assume a8403 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat X)) (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 X) Y)))))
% 16.70/16.92 (assume a8404 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mf A) B) S) (tptp.aa_rea1194391308913012860d_enat B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mf A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8405 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mg A) B) S) (tptp.aa_int_Extended_enat B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mg A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8406 (forall ((S tptp.set_nat) (A tptp.nat) (B tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mh A) B) S) (tptp.aa_nat_Extended_enat B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mh A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8407 (forall ((S tptp.set_complex) (A tptp.complex) (B tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_mi A) B) S) (tptp.aa_com3683005661447327866d_enat B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_mi A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8408 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mj A) B) S) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mj A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8409 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mk A) B) S) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mk A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8410 (forall ((S tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ml A) B) S) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ml A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8411 (forall ((S tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mm A) B) S) (tptp.aa_complex_complex B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mm A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8412 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mn A) B) S) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mn A) B) S) tptp.one_one_real))))))
% 16.70/16.92 (assume a8413 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_mo A) B) S) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_mo A) B) S) tptp.one_one_real))))))
% 16.70/16.92 (assume a8414 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mp A) B) S) (tptp.aa_rea1194391308913012860d_enat B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mp A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8415 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mq A) B) S) (tptp.aa_int_Extended_enat B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mq A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8416 (forall ((S tptp.set_nat) (A tptp.nat) (B tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mr A) B) S) (tptp.aa_nat_Extended_enat B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mr A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8417 (forall ((S tptp.set_complex) (A tptp.complex) (B tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_ms A) B) S) (tptp.aa_com3683005661447327866d_enat B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_ms A) B) S) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.92 (assume a8418 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mt A) B) S) (tptp.aa_real_complex B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mt A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8419 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mu A) B) S) (tptp.aa_int_complex B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mu A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8420 (forall ((S tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_mv A) B) S) (tptp.aa_nat_complex B A))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_mv A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8421 (forall ((S tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mw A) B) S) (tptp.aa_complex_complex B A))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mw A) B) S) tptp.one_one_complex))))))
% 16.70/16.92 (assume a8422 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mx A) B) S) (tptp.aa_real_real B A))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mx A) B) S) tptp.one_one_real))))))
% 16.70/16.92 (assume a8423 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_my A) B) S) (tptp.aa_int_real B A))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_my A) B) S) tptp.one_one_real))))))
% 16.70/16.92 (assume a8424 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups713298508707869441omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex G X)) (tptp.groups713298508707869441omplex G A2)))))))
% 16.70/16.92 (assume a8425 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups7440179247065528705omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex G X)) (tptp.groups7440179247065528705omplex G A2)))))))
% 16.70/16.92 (assume a8426 (forall ((A2 tptp.set_nat) (X tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.groups6464643781859351333omplex G (tptp.insert_nat X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G X)) (tptp.groups6464643781859351333omplex G A2)))))))
% 16.70/16.92 (assume a8427 (forall ((A2 tptp.set_complex) (X tptp.complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups3708469109370488835omplex G (tptp.insert_complex X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex G X)) (tptp.groups3708469109370488835omplex G A2)))))))
% 16.70/16.92 (assume a8428 (forall ((A2 tptp.set_real) (X 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 X) A2))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X)) (tptp.groups1681761925125756287l_real G A2)))))))
% 16.70/16.92 (assume a8429 (forall ((A2 tptp.set_int) (X 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 X) A2))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X)) (tptp.groups2316167850115554303t_real G A2)))))))
% 16.70/16.92 (assume a8430 (forall ((A2 tptp.set_nat) (X 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 X) A2))) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X)) (tptp.groups129246275422532515t_real G A2)))))))
% 16.70/16.92 (assume a8431 (forall ((A2 tptp.set_complex) (X 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 X) A2))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X)) (tptp.groups766887009212190081x_real G A2)))))))
% 16.70/16.92 (assume a8432 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups4696554848551431203al_nat G (tptp.insert_real X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_real_nat G X)) (tptp.groups4696554848551431203al_nat G A2)))))))
% 16.70/16.92 (assume a8433 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups1707563613775114915nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat G X)) (tptp.groups1707563613775114915nt_nat G A2)))))))
% 16.70/16.92 (assume a8434 (forall ((L tptp.set_real) (H tptp.set_real) (H2 tptp.set_real)) (= (tptp.ord_le3558479182127378552t_real (tptp.set_or7743017856606604397t_real L H) (tptp.set_or5092868708245317595t_real H2)) (or (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real L) H))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real H) H2))))))
% 16.70/16.92 (assume a8435 (forall ((L tptp.set_nat) (H tptp.set_nat) (H2 tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4548717258645045905et_nat L H) (tptp.set_or4236626031148496127et_nat H2)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) H))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat H) H2))))))
% 16.70/16.92 (assume a8436 (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))))))
% 16.70/16.92 (assume a8437 (forall ((L tptp.nat) (H tptp.nat) (H2 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_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))))))
% 16.70/16.92 (assume a8438 (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))))))
% 16.70/16.92 (assume a8439 (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))))))
% 16.70/16.92 (assume a8440 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8441 (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))))))
% 16.70/16.92 (assume a8442 (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))))))
% 16.70/16.92 (assume a8443 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.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))))))
% 16.70/16.92 (assume a8444 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_complex G N)))))
% 16.70/16.92 (assume a8445 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 16.70/16.92 (assume a8446 (forall ((G tptp.fun_nat_nat) (N tptp.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.groups708209901874060359at_nat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_nat G N)))))
% 16.70/16.92 (assume a8447 (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)))))
% 16.70/16.92 (assume a8448 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8449 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.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))))))
% 16.70/16.92 (assume a8450 (forall ((G tptp.fun_nat_nat) (N tptp.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.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))))))
% 16.70/16.92 (assume a8451 (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))))))
% 16.70/16.92 (assume a8452 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_na8797796813480665199d_enat)) (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.groups7961826882256487087d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_on7984719198319812577d_enat)) (=> (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.groups7961826882256487087d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.groups7961826882256487087d_enat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_Extended_enat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a8453 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a8454 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a8455 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a8456 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.70/16.92 (assume a8457 (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.one_one_nat))) (= (tptp.groups708209901874060359at_nat G A2) tptp.one_one_nat))))
% 16.70/16.92 (assume a8458 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_int)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (= (tptp.aa_nat_int G X4) tptp.one_one_int))) (= (tptp.groups705719431365010083at_int G A2) tptp.one_one_int))))
% 16.70/16.92 (assume a8459 (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.one_one_int))) (= (tptp.groups1705073143266064639nt_int G A2) tptp.one_one_int))))
% 16.70/16.92 (assume a8460 (forall ((G tptp.fun_na8797796813480665199d_enat) (A2 tptp.set_nat)) (=> (not (= (tptp.groups7961826882256487087d_enat G A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (= (tptp.aa_nat_Extended_enat G A3) tptp.one_on7984719198319812577d_enat)))))))
% 16.70/16.92 (assume a8461 (forall ((G tptp.fun_re6065469302365115155d_enat) (A2 tptp.set_real)) (=> (not (= (tptp.groups7973222482632965587d_enat G A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A2)) (= (tptp.aa_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat)))))))
% 16.70/16.92 (assume a8462 (forall ((G tptp.fun_in5914218760682845459d_enat) (A2 tptp.set_int)) (=> (not (= (tptp.groups5078248829458667347d_enat G A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A2)) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat)))))))
% 16.70/16.92 (assume a8463 (forall ((G tptp.fun_co6496365337113880337d_enat) (A2 tptp.set_complex)) (=> (not (= (tptp.groups8780218893797010257d_enat G A2) tptp.one_on7984719198319812577d_enat)) (not (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (= (tptp.aa_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat)))))))
% 16.70/16.92 (assume a8464 (forall ((G tptp.fun_nat_complex) (A2 tptp.set_nat)) (=> (not (= (tptp.groups6464643781859351333omplex G A2) tptp.one_one_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.one_one_complex)))))))
% 16.70/16.92 (assume a8465 (forall ((G tptp.fun_real_complex) (A2 tptp.set_real)) (=> (not (= (tptp.groups713298508707869441omplex G A2) tptp.one_one_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.one_one_complex)))))))
% 16.70/16.92 (assume a8466 (forall ((G tptp.fun_int_complex) (A2 tptp.set_int)) (=> (not (= (tptp.groups7440179247065528705omplex G A2) tptp.one_one_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.one_one_complex)))))))
% 16.70/16.92 (assume a8467 (forall ((G tptp.fun_complex_complex) (A2 tptp.set_complex)) (=> (not (= (tptp.groups3708469109370488835omplex G A2) tptp.one_one_complex)) (not (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A2)) (= (tptp.aa_complex_complex G A3) tptp.one_one_complex)))))))
% 16.70/16.92 (assume a8468 (forall ((G tptp.fun_nat_real) (A2 tptp.set_nat)) (=> (not (= (tptp.groups129246275422532515t_real G A2) tptp.one_one_real)) (not (forall ((A3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A2)) (= (tptp.aa_nat_real G A3) tptp.one_one_real)))))))
% 16.70/16.92 (assume a8469 (forall ((G tptp.fun_real_real) (A2 tptp.set_real)) (=> (not (= (tptp.groups1681761925125756287l_real G A2) tptp.one_one_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.one_one_real)))))))
% 16.70/16.92 (assume a8470 (forall ((G tptp.fun_nat_nat) (H tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_mz G) H) A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G A2)) (tptp.groups708209901874060359at_nat H A2)))))
% 16.70/16.92 (assume a8471 (forall ((G tptp.fun_nat_int) (H tptp.fun_nat_int) (A2 tptp.set_nat)) (= (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_na G) H) A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G A2)) (tptp.groups705719431365010083at_int H A2)))))
% 16.70/16.92 (assume a8472 (forall ((G tptp.fun_int_int) (H tptp.fun_int_int) (A2 tptp.set_int)) (= (tptp.groups1705073143266064639nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_nb G) H) A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups1705073143266064639nt_int G A2)) (tptp.groups1705073143266064639nt_int H A2)))))
% 16.70/16.92 (assume a8473 (forall ((F tptp.fun_nat_nat) (A2 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.groups708209901874060359at_nat F A2)) N) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nc F) N) A2))))
% 16.70/16.92 (assume a8474 (forall ((F tptp.fun_nat_int) (A2 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups705719431365010083at_int F A2)) N) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_nd F) N) A2))))
% 16.70/16.92 (assume a8475 (forall ((F tptp.fun_int_int) (A2 tptp.set_int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups1705073143266064639nt_int F A2)) N) (tptp.groups1705073143266064639nt_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_ne F) N) A2))))
% 16.70/16.92 (assume a8476 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_go F) A) A2)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.groups708209901874060359at_nat F A2)) A))))
% 16.70/16.92 (assume a8477 (forall ((F tptp.fun_nat_int) (A tptp.int) (A2 tptp.set_nat)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups705719431365010083at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_nf F) A) A2)) A) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups705719431365010083at_int F A2)) A))))
% 16.70/16.92 (assume a8478 (forall ((F tptp.fun_int_int) (A tptp.int) (A2 tptp.set_int)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups1705073143266064639nt_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_gp F) A) A2)) A) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.groups1705073143266064639nt_int F A2)) A))))
% 16.70/16.92 (assume a8479 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8480 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups129246275422532515t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8481 (forall ((G tptp.fun_nat_nat) (N tptp.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.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8482 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8483 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_ng A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ni A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8484 (forall ((A tptp.fun_nat_fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_nj A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_nl A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8485 (forall ((U tptp.real)) (= (tptp.set_ord_atMost_real U) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_nm U)))))
% 16.70/16.92 (assume a8486 (forall ((U tptp.set_real)) (= (tptp.set_or5092868708245317595t_real U) (tptp.collect_set_real (tptp.aTP_Lamm_bs U)))))
% 16.70/16.92 (assume a8487 (forall ((U tptp.set_nat)) (= (tptp.set_or4236626031148496127et_nat U) (tptp.collect_set_nat (tptp.aTP_Lamm_bt U)))))
% 16.70/16.92 (assume a8488 (forall ((U tptp.num)) (= (tptp.set_ord_atMost_num U) (tptp.collect_num (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_nn U)))))
% 16.70/16.92 (assume a8489 (forall ((U tptp.int)) (= (tptp.set_ord_atMost_int U) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_no U)))))
% 16.70/16.92 (assume a8490 (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_bp U)))))
% 16.70/16.92 (assume a8491 (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.groups708209901874060359at_nat F A2))))))
% 16.70/16.92 (assume a8492 (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))))))
% 16.70/16.92 (assume a8493 (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))))))
% 16.70/16.92 (assume a8494 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I4)) (tptp.aa_nat_real G I4)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups129246275422532515t_real F A2)) (tptp.groups129246275422532515t_real G A2))))))
% 16.70/16.92 (assume a8495 (forall ((A2 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I4)) (tptp.aa_real_real G I4)))))) (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))))))
% 16.70/16.92 (assume a8496 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I4)) (tptp.aa_int_real G I4)))))) (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))))))
% 16.70/16.92 (assume a8497 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I4)) (tptp.aa_complex_real G I4)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A2)) (tptp.groups766887009212190081x_real G A2))))))
% 16.70/16.92 (assume a8498 (forall ((A2 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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_real_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I4)) (tptp.aa_real_nat G I4)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups4696554848551431203al_nat F A2)) (tptp.groups4696554848551431203al_nat G A2))))))
% 16.70/16.92 (assume a8499 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I4)) (tptp.aa_int_nat G I4)))))) (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))))))
% 16.70/16.92 (assume a8500 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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_complex_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I4)) (tptp.aa_complex_nat G I4)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups861055069439313189ex_nat F A2)) (tptp.groups861055069439313189ex_nat G A2))))))
% 16.70/16.92 (assume a8501 (forall ((A2 tptp.set_real) (F tptp.fun_real_int) (G tptp.fun_real_int)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) A2)) (and (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 I4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int F I4)) (tptp.aa_real_int G I4)))))) (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 G A2))))))
% 16.70/16.92 (assume a8502 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) A2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int F I4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F I4)) (tptp.aa_complex_int G I4)))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups858564598930262913ex_int F A2)) (tptp.groups858564598930262913ex_int G A2))))))
% 16.70/16.92 (assume a8503 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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_nat_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I4)) (tptp.aa_nat_nat G I4)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups708209901874060359at_nat F A2)) (tptp.groups708209901874060359at_nat G A2))))))
% 16.70/16.92 (assume a8504 (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.groups708209901874060359at_nat F A2))))))
% 16.70/16.92 (assume a8505 (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))))))
% 16.70/16.92 (assume a8506 (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))))))
% 16.70/16.92 (assume a8507 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_nat_Extended_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.groups7961826882256487087d_enat F A2))))))
% 16.70/16.92 (assume a8508 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_rea1194391308913012860d_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.groups7973222482632965587d_enat F A2))))))
% 16.70/16.92 (assume a8509 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_int_Extended_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.groups5078248829458667347d_enat F A2))))))
% 16.70/16.92 (assume a8510 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.aa_com3683005661447327866d_enat F X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.one_on7984719198319812577d_enat) (tptp.groups8780218893797010257d_enat F A2))))))
% 16.70/16.92 (assume a8511 (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.groups129246275422532515t_real F A2))))))
% 16.70/16.92 (assume a8512 (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))))))
% 16.70/16.92 (assume a8513 (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))))))
% 16.70/16.92 (assume a8514 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (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.one_one_real) (tptp.aa_complex_real F X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups766887009212190081x_real F A2))))))
% 16.70/16.92 (assume a8515 (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.one_one_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.one_one_nat) (tptp.groups4696554848551431203al_nat F A2))))))
% 16.70/16.92 (assume a8516 (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))))))
% 16.70/16.92 (assume a8517 (forall ((F tptp.fun_na8797796813480665199d_enat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups7961826882256487087d_enat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_Ext7969882492699152700d_enat (tptp.set_fo2538466533108834004d_enat (tptp.aTP_Lamm_np F) A B) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.92 (assume a8518 (forall ((F tptp.fun_nat_complex) (A tptp.nat) (B tptp.nat)) (= (tptp.groups6464643781859351333omplex F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_nq F) A B) tptp.one_one_complex))))
% 16.70/16.92 (assume a8519 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B tptp.nat)) (= (tptp.groups129246275422532515t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_nr F) A) B) tptp.one_one_real))))
% 16.70/16.92 (assume a8520 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups708209901874060359at_nat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_ns F) A) B) tptp.one_one_nat))))
% 16.70/16.92 (assume a8521 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B tptp.nat)) (= (tptp.groups705719431365010083at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_nt F) A B) tptp.one_one_int))))
% 16.70/16.92 (assume a8522 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8523 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups129246275422532515t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8524 (forall ((G tptp.fun_nat_nat) (N tptp.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.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8525 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8526 (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))))
% 16.70/16.92 (assume a8527 (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)))))
% 16.70/16.92 (assume a8528 (forall ((A2 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups5078248829458667347d_enat G (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_av A2) P))) (tptp.groups5078248829458667347d_enat (tptp.aa_fun8298856528004841099d_enat (tptp.aTP_Lamm_nu G) P) A2)))))
% 16.70/16.92 (assume a8529 (forall ((A2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (P tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups7973222482632965587d_enat G (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_az A2) P))) (tptp.groups7973222482632965587d_enat (tptp.aa_fun1796798883024094219d_enat (tptp.aTP_Lamm_nv G) P) A2)))))
% 16.70/16.92 (assume a8530 (forall ((A2 tptp.set_nat) (G tptp.fun_na8797796813480665199d_enat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups7961826882256487087d_enat G (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_ba A2) P))) (tptp.groups7961826882256487087d_enat (tptp.aa_fun4338695687555673483d_enat (tptp.aTP_Lamm_nw G) P) A2)))))
% 16.70/16.92 (assume a8531 (forall ((A2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (P tptp.fun_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups8780218893797010257d_enat G (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_ax A2) P))) (tptp.groups8780218893797010257d_enat (tptp.aa_fun7453881840834182155d_enat (tptp.aTP_Lamm_nx G) P) A2)))))
% 16.70/16.92 (assume a8532 (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_av A2) P))) (tptp.groups7440179247065528705omplex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_ny G) P) A2)))))
% 16.70/16.92 (assume a8533 (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_az A2) P))) (tptp.groups713298508707869441omplex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_nz G) P) A2)))))
% 16.70/16.92 (assume a8534 (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_ba A2) P))) (tptp.groups6464643781859351333omplex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_oa G) P) A2)))))
% 16.70/16.92 (assume a8535 (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_ax A2) P))) (tptp.groups3708469109370488835omplex (tptp.aa_fun1034237174562290143omplex (tptp.aTP_Lamm_ob G) P) A2)))))
% 16.70/16.92 (assume a8536 (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_av A2) P))) (tptp.groups2316167850115554303t_real (tptp.aa_fun6974987029372589917t_real (tptp.aTP_Lamm_oc G) P) A2)))))
% 16.70/16.92 (assume a8537 (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_az A2) P))) (tptp.groups1681761925125756287l_real (tptp.aa_fun6348708079608492509l_real (tptp.aTP_Lamm_od G) P) A2)))))
% 16.70/16.92 (assume a8538 (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))))))
% 16.70/16.92 (assume a8539 (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))))))
% 16.70/16.92 (assume a8540 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8541 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_gx G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8542 (forall ((C tptp.real) (F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups129246275422532515t_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_oe C) F) A2))))
% 16.70/16.92 (assume a8543 (forall ((C tptp.complex) (F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups6464643781859351333omplex (tptp.aa_fun1958354139826840918omplex (tptp.aTP_Lamm_of C) F) A2))))
% 16.70/16.92 (assume a8544 (forall ((C tptp.nat) (F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_og C) F) A2))))
% 16.70/16.92 (assume a8545 (forall ((C tptp.int) (F tptp.fun_nat_nat) (A2 tptp.set_nat)) (= (tptp.aa_nat_int (tptp.power_power_int C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A2)) (tptp.groups705719431365010083at_int (tptp.aa_fun1613598493704395220at_int (tptp.aTP_Lamm_oh C) F) A2))))
% 16.70/16.92 (assume a8546 (forall ((C tptp.int) (F tptp.fun_int_nat) (A2 tptp.set_int)) (= (tptp.aa_nat_int (tptp.power_power_int C) (tptp.groups4541462559716669496nt_nat F A2)) (tptp.groups1705073143266064639nt_int (tptp.aa_fun2328901131235339916nt_int (tptp.aTP_Lamm_oi C) F) A2))))
% 16.70/16.92 (assume a8547 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_gr G) K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8548 (forall ((G tptp.fun_nat_int) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_oj G) K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8549 (forall ((A2 tptp.set_nat) (F tptp.fun_na8797796813480665199d_enat)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A2)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat F X4))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_nat_Extended_enat F X4)) tptp.one_on7984719198319812577d_enat))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups7961826882256487087d_enat F A2)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a8550 (forall ((A2 tptp.set_real) (F tptp.fun_re6065469302365115155d_enat)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A2)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_rea1194391308913012860d_enat F X4))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_rea1194391308913012860d_enat F X4)) tptp.one_on7984719198319812577d_enat))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups7973222482632965587d_enat F A2)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a8551 (forall ((A2 tptp.set_int) (F tptp.fun_in5914218760682845459d_enat)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A2)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_int_Extended_enat F X4))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_int_Extended_enat F X4)) tptp.one_on7984719198319812577d_enat))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups5078248829458667347d_enat F A2)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a8552 (forall ((A2 tptp.set_complex) (F tptp.fun_co6496365337113880337d_enat)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A2)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_com3683005661447327866d_enat F X4))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.aa_com3683005661447327866d_enat F X4)) tptp.one_on7984719198319812577d_enat))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le2932123472753598470d_enat (tptp.groups8780218893797010257d_enat F A2)) tptp.one_on7984719198319812577d_enat)))))
% 16.70/16.92 (assume a8553 (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.groups129246275422532515t_real F A2)) tptp.one_one_real)))))
% 16.70/16.92 (assume a8554 (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)))))
% 16.70/16.92 (assume a8555 (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)))))
% 16.70/16.92 (assume a8556 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) 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 X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X4)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A2)) tptp.one_one_real)))))
% 16.70/16.92 (assume a8557 (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)) (and (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.aa_real_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.groups4696554848551431203al_nat F A2)) tptp.one_one_nat)))))
% 16.70/16.92 (assume a8558 (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)))))
% 16.70/16.92 (assume a8559 (forall ((R2 tptp.fun_Ex8598408993869023341t_bool) (S tptp.set_nat) (H tptp.fun_na8797796813480665199d_enat) (G tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat)) (=> (forall ((X15 tptp.extended_enat) (Y15 tptp.extended_enat) (X23 tptp.extended_enat) (Y23 tptp.extended_enat)) (=> (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 X15) X23)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat X15) Y15)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_nat_Extended_enat H X4)) (tptp.aa_nat_Extended_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.groups7961826882256487087d_enat H S)) (tptp.groups7961826882256487087d_enat G S)))))))))
% 16.70/16.92 (assume a8560 (forall ((R2 tptp.fun_Ex8598408993869023341t_bool) (S tptp.set_complex) (H tptp.fun_co6496365337113880337d_enat) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 tptp.one_on7984719198319812577d_enat) tptp.one_on7984719198319812577d_enat)) (=> (forall ((X15 tptp.extended_enat) (Y15 tptp.extended_enat) (X23 tptp.extended_enat) (Y23 tptp.extended_enat)) (=> (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 X15) X23)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat X15) Y15)) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.aa_com3683005661447327866d_enat H X4)) (tptp.aa_com3683005661447327866d_enat G X4))))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool R2 (tptp.groups8780218893797010257d_enat H S)) (tptp.groups8780218893797010257d_enat G S)))))))))
% 16.70/16.92 (assume a8561 (forall ((R2 tptp.fun_co1378794544173401837x_bool) (S tptp.set_nat) (H tptp.fun_nat_complex) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 tptp.one_one_complex) tptp.one_one_complex)) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 X15) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex (tptp.times_times_complex X15) Y15)) (tptp.aa_complex_complex (tptp.times_times_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_nat_complex H X4)) (tptp.aa_nat_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.groups6464643781859351333omplex H S)) (tptp.groups6464643781859351333omplex G S)))))))))
% 16.70/16.92 (assume a8562 (forall ((R2 tptp.fun_co1378794544173401837x_bool) (S tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 tptp.one_one_complex) tptp.one_one_complex)) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X23 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 X15) X23)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex (tptp.times_times_complex X15) Y15)) (tptp.aa_complex_complex (tptp.times_times_complex X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.aa_complex_complex H X4)) (tptp.aa_complex_complex G X4))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R2 (tptp.groups3708469109370488835omplex H S)) (tptp.groups3708469109370488835omplex G S)))))))))
% 16.70/16.92 (assume a8563 (forall ((R2 tptp.fun_re1255401033344146673l_bool) (S tptp.set_nat) (H tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 tptp.one_one_real) tptp.one_one_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 X15) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X15) Y15)) (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 S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_nat_real H X4)) (tptp.aa_nat_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.groups129246275422532515t_real H S)) (tptp.groups129246275422532515t_real G S)))))))))
% 16.70/16.92 (assume a8564 (forall ((R2 tptp.fun_re1255401033344146673l_bool) (S tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 tptp.one_one_real) tptp.one_one_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X23 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 X15) X23)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X15) Y15)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.aa_complex_real H X4)) (tptp.aa_complex_real G X4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R2 (tptp.groups766887009212190081x_real H S)) (tptp.groups766887009212190081x_real G S)))))))))
% 16.70/16.92 (assume a8565 (forall ((R2 tptp.fun_nat_fun_nat_bool) (S 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 R2 tptp.one_one_nat) tptp.one_one_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X15) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X15) Y15)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_complex_nat H X4)) (tptp.aa_complex_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.groups861055069439313189ex_nat H S)) (tptp.groups861055069439313189ex_nat G S)))))))))
% 16.70/16.92 (assume a8566 (forall ((R2 tptp.fun_int_fun_int_bool) (S tptp.set_complex) (H tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 tptp.one_one_int) tptp.one_one_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 X15) X23)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X23) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_complex_int H X4)) (tptp.aa_complex_int G X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.groups858564598930262913ex_int H S)) (tptp.groups858564598930262913ex_int G S)))))))))
% 16.70/16.92 (assume a8567 (forall ((R2 tptp.fun_nat_fun_nat_bool) (S tptp.set_nat) (H tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 tptp.one_one_nat) tptp.one_one_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X23 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 X15) X23)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X15) Y15)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.aa_nat_nat H X4)) (tptp.aa_nat_nat G X4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R2 (tptp.groups708209901874060359at_nat H S)) (tptp.groups708209901874060359at_nat G S)))))))))
% 16.70/16.92 (assume a8568 (forall ((R2 tptp.fun_int_fun_int_bool) (S 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 R2 tptp.one_one_int) tptp.one_one_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X23 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 X15) X23)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X23) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) S)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.aa_nat_int H X4)) (tptp.aa_nat_int G X4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R2 (tptp.groups705719431365010083at_int H S)) (tptp.groups705719431365010083at_int G S)))))))))
% 16.70/16.92 (assume a8569 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups713298508707869441omplex G (tptp.insert_real X A2)) (tptp.groups713298508707869441omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups713298508707869441omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex G X)) (tptp.groups713298508707869441omplex G A2))))))))
% 16.70/16.92 (assume a8570 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups7440179247065528705omplex G (tptp.insert_int X A2)) (tptp.groups7440179247065528705omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups7440179247065528705omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex G X)) (tptp.groups7440179247065528705omplex G A2))))))))
% 16.70/16.92 (assume a8571 (forall ((A2 tptp.set_nat) (X tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.groups6464643781859351333omplex G (tptp.insert_nat X A2)) (tptp.groups6464643781859351333omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.groups6464643781859351333omplex G (tptp.insert_nat X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G X)) (tptp.groups6464643781859351333omplex G A2))))))))
% 16.70/16.92 (assume a8572 (forall ((A2 tptp.set_complex) (X tptp.complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.groups3708469109370488835omplex G (tptp.insert_complex X A2)) (tptp.groups3708469109370488835omplex G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups3708469109370488835omplex G (tptp.insert_complex X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex G X)) (tptp.groups3708469109370488835omplex G A2))))))))
% 16.70/16.92 (assume a8573 (forall ((A2 tptp.set_real) (X 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 X) A2)) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X A2)) (tptp.groups1681761925125756287l_real G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X)) (tptp.groups1681761925125756287l_real G A2))))))))
% 16.70/16.92 (assume a8574 (forall ((A2 tptp.set_int) (X 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 X) A2)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X A2)) (tptp.groups2316167850115554303t_real G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X)) (tptp.groups2316167850115554303t_real G A2))))))))
% 16.70/16.92 (assume a8575 (forall ((A2 tptp.set_nat) (X 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 X) A2)) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X A2)) (tptp.groups129246275422532515t_real G A2))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2))) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X)) (tptp.groups129246275422532515t_real G A2))))))))
% 16.70/16.92 (assume a8576 (forall ((A2 tptp.set_complex) (X 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 X) A2)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X A2)) (tptp.groups766887009212190081x_real G A2))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X)) (tptp.groups766887009212190081x_real G A2))))))))
% 16.70/16.92 (assume a8577 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups4696554848551431203al_nat G (tptp.insert_real X A2)) (tptp.groups4696554848551431203al_nat G A2))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2))) (= (tptp.groups4696554848551431203al_nat G (tptp.insert_real X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_real_nat G X)) (tptp.groups4696554848551431203al_nat G A2))))))))
% 16.70/16.92 (assume a8578 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups1707563613775114915nt_nat G (tptp.insert_int X A2)) (tptp.groups1707563613775114915nt_nat G A2))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2))) (= (tptp.groups1707563613775114915nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat G X)) (tptp.groups1707563613775114915nt_nat G A2))))))))
% 16.70/16.92 (assume a8579 (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)))))))
% 16.70/16.92 (assume a8580 (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)))))))
% 16.70/16.92 (assume a8581 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger)) (=> (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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups8682486955453173170nteger F A2)) (tptp.groups8682486955453173170nteger F B2)))))))
% 16.70/16.92 (assume a8582 (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)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups4696554848551431203al_nat F A2)) (tptp.groups4696554848551431203al_nat F B2)))))))
% 16.70/16.92 (assume a8583 (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)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups4694064378042380927al_int F A2)) (tptp.groups4694064378042380927al_int F B2)))))))
% 16.70/16.92 (assume a8584 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_re6978948838062957830nteger)) (=> (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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups6225526099057966256nteger F A2)) (tptp.groups6225526099057966256nteger F B2)))))))
% 16.70/16.92 (assume a8585 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_Code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups3455450783089532116nteger F A2)) (tptp.groups3455450783089532116nteger F B2)))))))
% 16.70/16.92 (assume a8586 (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.ord_less_eq_set_nat A2) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups708209901874060359at_nat F A2)) (tptp.groups708209901874060359at_nat F B2)))))))
% 16.70/16.92 (assume a8587 (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.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)))))))
% 16.70/16.92 (assume a8588 (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)))))))
% 16.70/16.92 (assume a8589 (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))))))))
% 16.70/16.92 (assume a8590 (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))))))))
% 16.70/16.92 (assume a8591 (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))))))))
% 16.70/16.92 (assume a8592 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_Code_integer) (G tptp.fun_int_Code_integer)) (=> (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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_int_Code_integer F A3)) (tptp.aa_int_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups3827104343326376752nteger F A2)) (tptp.groups3827104343326376752nteger G B2))))))))
% 16.70/16.92 (assume a8593 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger) (G tptp.fun_co8153928105989009288nteger)) (=> (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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_com4217951221296830281nteger F A3)) (tptp.aa_com4217951221296830281nteger G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups8682486955453173170nteger F A2)) (tptp.groups8682486955453173170nteger G B2))))))))
% 16.70/16.92 (assume a8594 (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))))))))
% 16.70/16.92 (assume a8595 (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))))))))
% 16.70/16.92 (assume a8596 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (F tptp.fun_re6978948838062957830nteger) (G tptp.fun_re6978948838062957830nteger)) (=> (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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_real_Code_integer F A3)) (tptp.aa_real_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups6225526099057966256nteger F A2)) (tptp.groups6225526099057966256nteger G B2))))))))
% 16.70/16.92 (assume a8597 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (F tptp.fun_nat_Code_integer) (G tptp.fun_nat_Code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B2)) (=> (tptp.pp (tptp.aa_set_nat_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_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer F A3)) (tptp.aa_nat_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.groups3455450783089532116nteger F A2)) (tptp.groups3455450783089532116nteger G B2))))))))
% 16.70/16.92 (assume a8598 (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.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.groups708209901874060359at_nat F A2)) (tptp.groups708209901874060359at_nat G B2))))))))
% 16.70/16.92 (assume a8599 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (S tptp.set_real) (I2 tptp.fun_real_real) (J tptp.fun_real_real) (T3 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S S5))) (= (tptp.aa_real_real I2 (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 S S5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real J A3)) (tptp.minus_minus_set_real T3 T5))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (= (tptp.aa_real_real J (tptp.aa_real_real I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real I2 B3)) (tptp.minus_minus_set_real S S5))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S)) (= (tptp.aa_rea1194391308913012860d_enat H (tptp.aa_real_real J A3)) (tptp.aa_rea1194391308913012860d_enat G A3)))) (= (tptp.groups7973222482632965587d_enat G S) (tptp.groups7973222482632965587d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8600 (forall ((S5 tptp.set_real) (T5 tptp.set_int) (S tptp.set_real) (I2 tptp.fun_int_real) (J tptp.fun_real_int) (T3 tptp.set_int) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S S5))) (= (tptp.aa_int_real I2 (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 S S5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int J A3)) (tptp.minus_minus_set_int T3 T5))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (= (tptp.aa_real_int J (tptp.aa_int_real I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real I2 B3)) (tptp.minus_minus_set_real S S5))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S)) (= (tptp.aa_int_Extended_enat H (tptp.aa_real_int J A3)) (tptp.aa_rea1194391308913012860d_enat G A3)))) (= (tptp.groups7973222482632965587d_enat G S) (tptp.groups5078248829458667347d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8601 (forall ((S5 tptp.set_int) (T5 tptp.set_real) (S tptp.set_int) (I2 tptp.fun_real_int) (J tptp.fun_int_real) (T3 tptp.set_real) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S S5))) (= (tptp.aa_real_int I2 (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 S S5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_int_real J A3)) (tptp.minus_minus_set_real T3 T5))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (= (tptp.aa_int_real J (tptp.aa_real_int I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_real_int I2 B3)) (tptp.minus_minus_set_int S S5))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S)) (= (tptp.aa_rea1194391308913012860d_enat H (tptp.aa_int_real J A3)) (tptp.aa_int_Extended_enat G A3)))) (= (tptp.groups5078248829458667347d_enat G S) (tptp.groups7973222482632965587d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8602 (forall ((S5 tptp.set_int) (T5 tptp.set_int) (S tptp.set_int) (I2 tptp.fun_int_int) (J tptp.fun_int_int) (T3 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S S5))) (= (tptp.aa_int_int I2 (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 S S5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int J A3)) (tptp.minus_minus_set_int T3 T5))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (= (tptp.aa_int_int J (tptp.aa_int_int I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_int_int I2 B3)) (tptp.minus_minus_set_int S S5))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S)) (= (tptp.aa_int_Extended_enat H (tptp.aa_int_int J A3)) (tptp.aa_int_Extended_enat G A3)))) (= (tptp.groups5078248829458667347d_enat G S) (tptp.groups5078248829458667347d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8603 (forall ((S5 tptp.set_real) (T5 tptp.set_complex) (S tptp.set_real) (I2 tptp.fun_complex_real) (J tptp.fun_real_complex) (T3 tptp.set_complex) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S S5))) (= (tptp.aa_complex_real I2 (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 S S5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_real_complex J A3)) (tptp.minus_811609699411566653omplex T3 T5))))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (= (tptp.aa_real_complex J (tptp.aa_complex_real I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_complex_real I2 B3)) (tptp.minus_minus_set_real S S5))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S)) (= (tptp.aa_com3683005661447327866d_enat H (tptp.aa_real_complex J A3)) (tptp.aa_rea1194391308913012860d_enat G A3)))) (= (tptp.groups7973222482632965587d_enat G S) (tptp.groups8780218893797010257d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8604 (forall ((S5 tptp.set_int) (T5 tptp.set_complex) (S tptp.set_int) (I2 tptp.fun_complex_int) (J tptp.fun_int_complex) (T3 tptp.set_complex) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S S5))) (= (tptp.aa_complex_int I2 (tptp.aa_int_complex J A3)) A3))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int S S5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_int_complex J A3)) (tptp.minus_811609699411566653omplex T3 T5))))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (= (tptp.aa_int_complex J (tptp.aa_complex_int I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_complex_int I2 B3)) (tptp.minus_minus_set_int S S5))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S)) (= (tptp.aa_com3683005661447327866d_enat H (tptp.aa_int_complex J A3)) (tptp.aa_int_Extended_enat G A3)))) (= (tptp.groups5078248829458667347d_enat G S) (tptp.groups8780218893797010257d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8605 (forall ((S5 tptp.set_complex) (T5 tptp.set_real) (S tptp.set_complex) (I2 tptp.fun_real_complex) (J tptp.fun_complex_real) (T3 tptp.set_real) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (= (tptp.aa_real_complex I2 (tptp.aa_complex_real J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_complex_real J A3)) (tptp.minus_minus_set_real T3 T5))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (= (tptp.aa_complex_real J (tptp.aa_real_complex I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_real_complex I2 B3)) (tptp.minus_811609699411566653omplex S S5))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S)) (= (tptp.aa_rea1194391308913012860d_enat H (tptp.aa_complex_real J A3)) (tptp.aa_com3683005661447327866d_enat G A3)))) (= (tptp.groups8780218893797010257d_enat G S) (tptp.groups7973222482632965587d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8606 (forall ((S5 tptp.set_complex) (T5 tptp.set_int) (S tptp.set_complex) (I2 tptp.fun_int_complex) (J tptp.fun_complex_int) (T3 tptp.set_int) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (= (tptp.aa_int_complex I2 (tptp.aa_complex_int J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_complex_int J A3)) (tptp.minus_minus_set_int T3 T5))))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (= (tptp.aa_complex_int J (tptp.aa_int_complex I2 B3)) B3))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int T3 T5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_int_complex I2 B3)) (tptp.minus_811609699411566653omplex S S5))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S)) (= (tptp.aa_int_Extended_enat H (tptp.aa_complex_int J A3)) (tptp.aa_com3683005661447327866d_enat G A3)))) (= (tptp.groups8780218893797010257d_enat G S) (tptp.groups5078248829458667347d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8607 (forall ((S5 tptp.set_complex) (T5 tptp.set_complex) (S tptp.set_complex) (I2 tptp.fun_complex_complex) (J tptp.fun_complex_complex) (T3 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (= (tptp.aa_complex_complex I2 (tptp.aa_complex_complex J A3)) A3))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex S S5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_complex_complex J A3)) (tptp.minus_811609699411566653omplex T3 T5))))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (= (tptp.aa_complex_complex J (tptp.aa_complex_complex I2 B3)) B3))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex T3 T5))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_complex_complex I2 B3)) (tptp.minus_811609699411566653omplex S S5))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S)) (= (tptp.aa_com3683005661447327866d_enat H (tptp.aa_complex_complex J A3)) (tptp.aa_com3683005661447327866d_enat G A3)))) (= (tptp.groups8780218893797010257d_enat G S) (tptp.groups8780218893797010257d_enat H T3)))))))))))))
% 16.70/16.92 (assume a8608 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (S tptp.set_real) (I2 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 S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real S S5))) (= (tptp.aa_real_real I2 (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 S S5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real J A3)) (tptp.minus_minus_set_real T3 T5))))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (= (tptp.aa_real_real J (tptp.aa_real_real I2 B3)) B3))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real T3 T5))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real I2 B3)) (tptp.minus_minus_set_real S S5))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (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) T5)) (= (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) S)) (= (tptp.aa_real_complex H (tptp.aa_real_real J A3)) (tptp.aa_real_complex G A3)))) (= (tptp.groups713298508707869441omplex G S) (tptp.groups713298508707869441omplex H T3)))))))))))))
% 16.70/16.92 (assume a8609 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex 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.groups6464643781859351333omplex (tptp.aTP_Lamm_ok G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8610 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups129246275422532515t_real (tptp.aTP_Lamm_ol G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8611 (forall ((G tptp.fun_nat_nat) (N tptp.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.groups708209901874060359at_nat (tptp.aTP_Lamm_om G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8612 (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_on G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8613 (forall ((A2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups7973222482632965587d_enat G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_oo G)))) (tptp.groups7973222482632965587d_enat G A2)))))
% 16.70/16.92 (assume a8614 (forall ((A2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups8780218893797010257d_enat G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_op G)))) (tptp.groups8780218893797010257d_enat G A2)))))
% 16.70/16.92 (assume a8615 (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_oq G)))) (tptp.groups713298508707869441omplex G A2)))))
% 16.70/16.92 (assume a8616 (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_or G)))) (tptp.groups3708469109370488835omplex G A2)))))
% 16.70/16.92 (assume a8617 (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_os G)))) (tptp.groups1681761925125756287l_real G A2)))))
% 16.70/16.92 (assume a8618 (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_ot G)))) (tptp.groups766887009212190081x_real G A2)))))
% 16.70/16.92 (assume a8619 (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_ou G)))) (tptp.groups4696554848551431203al_nat G A2)))))
% 16.70/16.92 (assume a8620 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_ov G)))) (tptp.groups861055069439313189ex_nat G A2)))))
% 16.70/16.92 (assume a8621 (forall ((A2 tptp.set_real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4694064378042380927al_int G (tptp.minus_minus_set_real A2 (tptp.collect_real (tptp.aTP_Lamm_ow G)))) (tptp.groups4694064378042380927al_int G A2)))))
% 16.70/16.92 (assume a8622 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups858564598930262913ex_int G (tptp.minus_811609699411566653omplex A2 (tptp.collect_complex (tptp.aTP_Lamm_ox G)))) (tptp.groups858564598930262913ex_int G A2)))))
% 16.70/16.92 (assume a8623 (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))))))
% 16.70/16.92 (assume a8624 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_jf G) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8625 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_oy 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)))))
% 16.70/16.92 (assume a8626 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_gv G) N) M) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 16.70/16.92 (assume a8627 (forall ((G tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_oz G) N) M) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 16.70/16.92 (assume a8628 (forall ((A tptp.extended_enat) (B tptp.extended_enat)) (= (tptp.pp (tptp.aa_set3347977610044113549t_bool (tptp.ord_le7203529160286727270d_enat (tptp.set_or8332593352340944941d_enat A)) (tptp.set_or8419480210114673929d_enat B))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat A) B)))))
% 16.70/16.92 (assume a8629 (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)))))
% 16.70/16.92 (assume a8630 (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)))))
% 16.70/16.92 (assume a8631 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_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)))))
% 16.70/16.92 (assume a8632 (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)))))
% 16.70/16.92 (assume a8633 (forall ((P2 tptp.nat) (K tptp.nat) (G tptp.fun_na8797796813480665199d_enat) (H tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_pa K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups7961826882256487087d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_pb 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8634 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_pc K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_pd 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8635 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_pe K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_pf 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8636 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_pg K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_ph 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8637 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_pi K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_pj 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8638 (forall ((I6 tptp.set_real) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I2))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I6)))))))))
% 16.70/16.92 (assume a8639 (forall ((I6 tptp.set_int) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I2))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I6)))))))))
% 16.70/16.92 (assume a8640 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (I2 tptp.product_prod_nat_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_Pro6168199777849092593t_real F I2))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_Pro6168199777849092593t_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups6036352826371341000t_real F I6)))))))))
% 16.70/16.92 (assume a8641 (forall ((I6 tptp.set_nat) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I2))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups129246275422532515t_real F I6)))))))))
% 16.70/16.92 (assume a8642 (forall ((I6 tptp.set_complex) (I2 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 I2) I6)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I2))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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 I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I6)))))))))
% 16.70/16.92 (assume a8643 (forall ((I6 tptp.set_real) (I2 tptp.real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I2) I6)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int F I2))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups4694064378042380927al_int F I6)))))))))
% 16.70/16.92 (assume a8644 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (I2 tptp.product_prod_nat_nat) (F tptp.fun_Pr7647638413817135296at_int)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I2) I6)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_Pro4240683299535347697at_int F I2))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_Pro4240683299535347697at_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups4075276357253098568at_int F I6)))))))))
% 16.70/16.92 (assume a8645 (forall ((I6 tptp.set_complex) (I2 tptp.complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I2) I6)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_complex_int F I2))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_complex_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups858564598930262913ex_int F I6)))))))))
% 16.70/16.92 (assume a8646 (forall ((I6 tptp.set_nat) (I2 tptp.nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I2) I6)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int F I2))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups705719431365010083at_int F I6)))))))))
% 16.70/16.92 (assume a8647 (forall ((I6 tptp.set_int) (I2 tptp.int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I2) I6)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int F I2))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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 F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups1705073143266064639nt_int F I6)))))))))
% 16.70/16.92 (assume a8648 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (=> (not (= I6 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_Pro6168199777849092593t_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups6036352826371341000t_real F I6))))))))
% 16.70/16.92 (assume a8649 (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 ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I6))))))))
% 16.70/16.92 (assume a8650 (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 ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups129246275422532515t_real F I6))))))))
% 16.70/16.92 (assume a8651 (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 ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I6))))))))
% 16.70/16.92 (assume a8652 (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 ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I4))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I6))))))))
% 16.70/16.92 (assume a8653 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr7647638413817135296at_int)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (=> (not (= I6 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_Pro4240683299535347697at_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups4075276357253098568at_int F I6))))))))
% 16.70/16.92 (assume a8654 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (not (= I6 tptp.bot_bot_set_complex)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_complex_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups858564598930262913ex_int F I6))))))))
% 16.70/16.92 (assume a8655 (forall ((I6 tptp.set_real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (not (= I6 tptp.bot_bot_set_real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups4694064378042380927al_int F I6))))))))
% 16.70/16.92 (assume a8656 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (not (= I6 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups705719431365010083at_int F I6))))))))
% 16.70/16.92 (assume a8657 (forall ((I6 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (not (= I6 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int F I4))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.groups1705073143266064639nt_int F I6))))))))
% 16.70/16.92 (assume a8658 (forall ((B2 tptp.set_complex) (A2 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B2) A2)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups3708469109370488835omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups3708469109370488835omplex G (tptp.minus_811609699411566653omplex A2 B2))) (tptp.groups3708469109370488835omplex G B2)))))))
% 16.70/16.92 (assume a8659 (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)))))))
% 16.70/16.92 (assume a8660 (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)))))))
% 16.70/16.92 (assume a8661 (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)))))))
% 16.70/16.92 (assume a8662 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups713298508707869441omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups713298508707869441omplex G (tptp.minus_minus_set_real A2 B2))) (tptp.groups713298508707869441omplex G B2)))))))
% 16.70/16.92 (assume a8663 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1681761925125756287l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 B2))) (tptp.groups1681761925125756287l_real G B2)))))))
% 16.70/16.92 (assume a8664 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4696554848551431203al_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups4696554848551431203al_nat G (tptp.minus_minus_set_real A2 B2))) (tptp.groups4696554848551431203al_nat G B2)))))))
% 16.70/16.92 (assume a8665 (forall ((B2 tptp.set_real) (A2 tptp.set_real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B2) A2)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups4694064378042380927al_int G A2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups4694064378042380927al_int G (tptp.minus_minus_set_real A2 B2))) (tptp.groups4694064378042380927al_int G B2)))))))
% 16.70/16.92 (assume a8666 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups6464643781859351333omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups6464643781859351333omplex G B2)))))))
% 16.70/16.92 (assume a8667 (forall ((B2 tptp.set_nat) (A2 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B2) A2)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups129246275422532515t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.minus_minus_set_nat A2 B2))) (tptp.groups129246275422532515t_real G B2)))))))
% 16.70/16.92 (assume a8668 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_Extended_enat H B3) tptp.one_on7984719198319812577d_enat))) (= (= (tptp.groups5078248829458667347d_enat G A2) (tptp.groups5078248829458667347d_enat H B2)) (= (tptp.groups5078248829458667347d_enat G C4) (tptp.groups5078248829458667347d_enat H C4))))))))))
% 16.70/16.92 (assume a8669 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (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_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.one_on7984719198319812577d_enat))) (= (= (tptp.groups8780218893797010257d_enat G A2) (tptp.groups8780218893797010257d_enat H B2)) (= (tptp.groups8780218893797010257d_enat G C4) (tptp.groups8780218893797010257d_enat H C4))))))))))
% 16.70/16.92 (assume a8670 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups7440179247065528705omplex G A2) (tptp.groups7440179247065528705omplex H B2)) (= (tptp.groups7440179247065528705omplex G C4) (tptp.groups7440179247065528705omplex H C4))))))))))
% 16.70/16.92 (assume a8671 (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))))))))))
% 16.70/16.92 (assume a8672 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_real H B3) tptp.one_one_real))) (= (= (tptp.groups2316167850115554303t_real G A2) (tptp.groups2316167850115554303t_real H B2)) (= (tptp.groups2316167850115554303t_real G C4) (tptp.groups2316167850115554303t_real H C4))))))))))
% 16.70/16.92 (assume a8673 (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))))))))))
% 16.70/16.92 (assume a8674 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_nat H B3) tptp.one_one_nat))) (= (= (tptp.groups1707563613775114915nt_nat G A2) (tptp.groups1707563613775114915nt_nat H B2)) (= (tptp.groups1707563613775114915nt_nat G C4) (tptp.groups1707563613775114915nt_nat H C4))))))))))
% 16.70/16.92 (assume a8675 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (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_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_nat H B3) tptp.one_one_nat))) (= (= (tptp.groups861055069439313189ex_nat G A2) (tptp.groups861055069439313189ex_nat H B2)) (= (tptp.groups861055069439313189ex_nat G C4) (tptp.groups861055069439313189ex_nat H C4))))))))))
% 16.70/16.92 (assume a8676 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (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_int G A3) tptp.one_one_int))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_int H B3) tptp.one_one_int))) (= (= (tptp.groups858564598930262913ex_int G A2) (tptp.groups858564598930262913ex_int H B2)) (= (tptp.groups858564598930262913ex_int G C4) (tptp.groups858564598930262913ex_int H C4))))))))))
% 16.70/16.92 (assume a8677 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.one_on7984719198319812577d_enat))) (= (= (tptp.groups7973222482632965587d_enat G A2) (tptp.groups7973222482632965587d_enat H B2)) (= (tptp.groups7973222482632965587d_enat G C4) (tptp.groups7973222482632965587d_enat H C4))))))))))
% 16.70/16.92 (assume a8678 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_Extended_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_Extended_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (= (tptp.groups5078248829458667347d_enat G C4) (tptp.groups5078248829458667347d_enat H C4)) (= (tptp.groups5078248829458667347d_enat G A2) (tptp.groups5078248829458667347d_enat H B2))))))))))
% 16.70/16.92 (assume a8679 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (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_com3683005661447327866d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_com3683005661447327866d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (= (tptp.groups8780218893797010257d_enat G C4) (tptp.groups8780218893797010257d_enat H C4)) (= (tptp.groups8780218893797010257d_enat G A2) (tptp.groups8780218893797010257d_enat H B2))))))))))
% 16.70/16.92 (assume a8680 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups7440179247065528705omplex G C4) (tptp.groups7440179247065528705omplex H C4)) (= (tptp.groups7440179247065528705omplex G A2) (tptp.groups7440179247065528705omplex H B2))))))))))
% 16.70/16.92 (assume a8681 (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))))))))))
% 16.70/16.92 (assume a8682 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_real H B3) tptp.one_one_real))) (=> (= (tptp.groups2316167850115554303t_real G C4) (tptp.groups2316167850115554303t_real H C4)) (= (tptp.groups2316167850115554303t_real G A2) (tptp.groups2316167850115554303t_real H B2))))))))))
% 16.70/16.92 (assume a8683 (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))))))))))
% 16.70/16.92 (assume a8684 (forall ((C4 tptp.set_int) (A2 tptp.set_int) (B2 tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C4)) (=> (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 B2) C4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C4 A2))) (= (tptp.aa_int_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C4 B2))) (= (tptp.aa_int_nat H B3) tptp.one_one_nat))) (=> (= (tptp.groups1707563613775114915nt_nat G C4) (tptp.groups1707563613775114915nt_nat H C4)) (= (tptp.groups1707563613775114915nt_nat G A2) (tptp.groups1707563613775114915nt_nat H B2))))))))))
% 16.70/16.92 (assume a8685 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (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_nat G A3) tptp.one_one_nat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_nat H B3) tptp.one_one_nat))) (=> (= (tptp.groups861055069439313189ex_nat G C4) (tptp.groups861055069439313189ex_nat H C4)) (= (tptp.groups861055069439313189ex_nat G A2) (tptp.groups861055069439313189ex_nat H B2))))))))))
% 16.70/16.92 (assume a8686 (forall ((C4 tptp.set_complex) (A2 tptp.set_complex) (B2 tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (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_int G A3) tptp.one_one_int))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C4 B2))) (= (tptp.aa_complex_int H B3) tptp.one_one_int))) (=> (= (tptp.groups858564598930262913ex_int G C4) (tptp.groups858564598930262913ex_int H C4)) (= (tptp.groups858564598930262913ex_int G A2) (tptp.groups858564598930262913ex_int H B2))))))))))
% 16.70/16.92 (assume a8687 (forall ((C4 tptp.set_real) (A2 tptp.set_real) (B2 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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_rea1194391308913012860d_enat G A3) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C4 B2))) (= (tptp.aa_rea1194391308913012860d_enat H B3) tptp.one_on7984719198319812577d_enat))) (=> (= (tptp.groups7973222482632965587d_enat G C4) (tptp.groups7973222482632965587d_enat H C4)) (= (tptp.groups7973222482632965587d_enat G A2) (tptp.groups7973222482632965587d_enat H B2))))))))))
% 16.70/16.92 (assume a8688 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups8780218893797010257d_enat G S) (tptp.groups8780218893797010257d_enat G T3)))))))
% 16.70/16.92 (assume a8689 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_complex G X4) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G S) (tptp.groups3708469109370488835omplex G T3)))))))
% 16.70/16.92 (assume a8690 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_real G X4) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G S) (tptp.groups766887009212190081x_real G T3)))))))
% 16.70/16.92 (assume a8691 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G S) (tptp.groups861055069439313189ex_nat G T3)))))))
% 16.70/16.92 (assume a8692 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G S) (tptp.groups858564598930262913ex_int G T3)))))))
% 16.70/16.92 (assume a8693 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups7973222482632965587d_enat G S) (tptp.groups7973222482632965587d_enat G T3)))))))
% 16.70/16.92 (assume a8694 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_complex G X4) tptp.one_one_complex))) (= (tptp.groups713298508707869441omplex G S) (tptp.groups713298508707869441omplex G T3)))))))
% 16.70/16.92 (assume a8695 (forall ((T3 tptp.set_real) (S tptp.set_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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_real G X4) tptp.one_one_real))) (= (tptp.groups1681761925125756287l_real G S) (tptp.groups1681761925125756287l_real G T3)))))))
% 16.70/16.92 (assume a8696 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_nat G X4) tptp.one_one_nat))) (= (tptp.groups4696554848551431203al_nat G S) (tptp.groups4696554848551431203al_nat G T3)))))))
% 16.70/16.92 (assume a8697 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_real_int)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_int G X4) tptp.one_one_int))) (= (tptp.groups4694064378042380927al_int G S) (tptp.groups4694064378042380927al_int G T3)))))))
% 16.70/16.92 (assume a8698 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups8780218893797010257d_enat G T3) (tptp.groups8780218893797010257d_enat G S)))))))
% 16.70/16.92 (assume a8699 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_complex G X4) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex G S)))))))
% 16.70/16.92 (assume a8700 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_real G X4) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real G S)))))))
% 16.70/16.92 (assume a8701 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G T3) (tptp.groups861055069439313189ex_nat G S)))))))
% 16.70/16.92 (assume a8702 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G T3) (tptp.groups858564598930262913ex_int G S)))))))
% 16.70/16.92 (assume a8703 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups7973222482632965587d_enat G T3) (tptp.groups7973222482632965587d_enat G S)))))))
% 16.70/16.92 (assume a8704 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_complex G X4) tptp.one_one_complex))) (= (tptp.groups713298508707869441omplex G T3) (tptp.groups713298508707869441omplex G S)))))))
% 16.70/16.92 (assume a8705 (forall ((T3 tptp.set_real) (S tptp.set_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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_real G X4) tptp.one_one_real))) (= (tptp.groups1681761925125756287l_real G T3) (tptp.groups1681761925125756287l_real G S)))))))
% 16.70/16.92 (assume a8706 (forall ((T3 tptp.set_real) (S tptp.set_real) (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_nat G X4) tptp.one_one_nat))) (= (tptp.groups4696554848551431203al_nat G T3) (tptp.groups4696554848551431203al_nat G S)))))))
% 16.70/16.92 (assume a8707 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_real_int)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_real_int G X4) tptp.one_one_int))) (= (tptp.groups4694064378042380927al_int G T3) (tptp.groups4694064378042380927al_int G S)))))))
% 16.70/16.92 (assume a8708 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_in5914218760682845459d_enat) (G tptp.fun_in5914218760682845459d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_Extended_enat H X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_Extended_enat G X4) (tptp.aa_int_Extended_enat H X4)))) (= (tptp.groups5078248829458667347d_enat G S) (tptp.groups5078248829458667347d_enat H T3))))))))
% 16.70/16.92 (assume a8709 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_co6496365337113880337d_enat) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat H X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_com3683005661447327866d_enat G X4) (tptp.aa_com3683005661447327866d_enat H X4)))) (= (tptp.groups8780218893797010257d_enat G S) (tptp.groups8780218893797010257d_enat H T3))))))))
% 16.70/16.92 (assume a8710 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_complex) (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_complex H X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_complex G X4) (tptp.aa_int_complex H X4)))) (= (tptp.groups7440179247065528705omplex G S) (tptp.groups7440179247065528705omplex H T3))))))))
% 16.70/16.92 (assume a8711 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_complex G X4) (tptp.aa_complex_complex H X4)))) (= (tptp.groups3708469109370488835omplex G S) (tptp.groups3708469109370488835omplex H T3))))))))
% 16.70/16.92 (assume a8712 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_real) (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_real H X4) tptp.one_one_real))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_real G X4) (tptp.aa_int_real H X4)))) (= (tptp.groups2316167850115554303t_real G S) (tptp.groups2316167850115554303t_real H T3))))))))
% 16.70/16.92 (assume a8713 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups766887009212190081x_real G S) (tptp.groups766887009212190081x_real H T3))))))))
% 16.70/16.92 (assume a8714 (forall ((T3 tptp.set_int) (S tptp.set_int) (H tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_nat H X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_nat G X4) (tptp.aa_int_nat H X4)))) (= (tptp.groups1707563613775114915nt_nat G S) (tptp.groups1707563613775114915nt_nat H T3))))))))
% 16.70/16.92 (assume a8715 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_complex_nat) (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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat H X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_nat G X4) (tptp.aa_complex_nat H X4)))) (= (tptp.groups861055069439313189ex_nat G S) (tptp.groups861055069439313189ex_nat H T3))))))))
% 16.70/16.92 (assume a8716 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (H tptp.fun_complex_int) (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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int H X4) tptp.one_one_int))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_int G X4) (tptp.aa_complex_int H X4)))) (= (tptp.groups858564598930262913ex_int G S) (tptp.groups858564598930262913ex_int H T3))))))))
% 16.70/16.92 (assume a8717 (forall ((T3 tptp.set_real) (S tptp.set_real) (H tptp.fun_re6065469302365115155d_enat) (G tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat H X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (= (tptp.aa_rea1194391308913012860d_enat G X4) (tptp.aa_rea1194391308913012860d_enat H X4)))) (= (tptp.groups7973222482632965587d_enat G S) (tptp.groups7973222482632965587d_enat H T3))))))))
% 16.70/16.92 (assume a8718 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_in5914218760682845459d_enat) (H tptp.fun_in5914218760682845459d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_Extended_enat G X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_Extended_enat G X4) (tptp.aa_int_Extended_enat H X4)))) (= (tptp.groups5078248829458667347d_enat G T3) (tptp.groups5078248829458667347d_enat H S))))))))
% 16.70/16.92 (assume a8719 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat) (H tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_com3683005661447327866d_enat G X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_com3683005661447327866d_enat G X4) (tptp.aa_com3683005661447327866d_enat H X4)))) (= (tptp.groups8780218893797010257d_enat G T3) (tptp.groups8780218893797010257d_enat H S))))))))
% 16.70/16.92 (assume a8720 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_complex) (H 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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_complex G X4) tptp.one_one_complex))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_complex G X4) (tptp.aa_int_complex H X4)))) (= (tptp.groups7440179247065528705omplex G T3) (tptp.groups7440179247065528705omplex H S))))))))
% 16.70/16.92 (assume a8721 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_complex G X4) (tptp.aa_complex_complex H X4)))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex H S))))))))
% 16.70/16.92 (assume a8722 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_real) (H 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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_real G X4) tptp.one_one_real))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_real G X4) (tptp.aa_int_real H X4)))) (= (tptp.groups2316167850115554303t_real G T3) (tptp.groups2316167850115554303t_real H S))))))))
% 16.70/16.92 (assume a8723 (forall ((T3 tptp.set_complex) (S 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 S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (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) S)) (= (tptp.aa_complex_real G X4) (tptp.aa_complex_real H X4)))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real H S))))))))
% 16.70/16.92 (assume a8724 (forall ((T3 tptp.set_int) (S tptp.set_int) (G tptp.fun_int_nat) (H tptp.fun_int_nat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.minus_minus_set_int T3 S))) (= (tptp.aa_int_nat G X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) S)) (= (tptp.aa_int_nat G X4) (tptp.aa_int_nat H X4)))) (= (tptp.groups1707563613775114915nt_nat G T3) (tptp.groups1707563613775114915nt_nat H S))))))))
% 16.70/16.92 (assume a8725 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_complex_nat) (H tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_nat G X4) tptp.one_one_nat))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_nat G X4) (tptp.aa_complex_nat H X4)))) (= (tptp.groups861055069439313189ex_nat G T3) (tptp.groups861055069439313189ex_nat H S))))))))
% 16.70/16.92 (assume a8726 (forall ((T3 tptp.set_complex) (S tptp.set_complex) (G tptp.fun_complex_int) (H tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S) T3)) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.minus_811609699411566653omplex T3 S))) (= (tptp.aa_complex_int G X4) tptp.one_one_int))) (=> (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) S)) (= (tptp.aa_complex_int G X4) (tptp.aa_complex_int H X4)))) (= (tptp.groups858564598930262913ex_int G T3) (tptp.groups858564598930262913ex_int H S))))))))
% 16.70/16.92 (assume a8727 (forall ((T3 tptp.set_real) (S tptp.set_real) (G tptp.fun_re6065469302365115155d_enat) (H tptp.fun_re6065469302365115155d_enat)) (=> (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 S) T3)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.minus_minus_set_real T3 S))) (= (tptp.aa_rea1194391308913012860d_enat G X4) tptp.one_on7984719198319812577d_enat))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) S)) (= (tptp.aa_rea1194391308913012860d_enat G X4) (tptp.aa_rea1194391308913012860d_enat H X4)))) (= (tptp.groups7973222482632965587d_enat G T3) (tptp.groups7973222482632965587d_enat H S))))))))
% 16.70/16.92 (assume a8728 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8729 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8730 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8731 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8732 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G M)) (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a8733 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G M)) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a8734 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M)) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a8735 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M)) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 16.70/16.92 (assume a8736 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex)) (=> (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.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8737 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8738 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8739 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8740 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8741 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups129246275422532515t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8742 (forall ((G tptp.fun_nat_nat) (N tptp.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.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8743 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8744 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_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.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G M)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8745 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G M)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8746 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M)) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8747 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_gx G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 16.70/16.92 (assume a8748 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8749 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8750 (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_gq G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8751 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.92 (assume a8752 (forall ((F tptp.fun_nat_complex) (I2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_jo F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I2)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex F tptp.zero_zero_nat)) (tptp.aa_nat_complex F (tptp.aa_nat_nat tptp.suc I2))))))
% 16.70/16.92 (assume a8753 (forall ((F tptp.fun_nat_int) (I2 tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jp F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I2)) (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 I2))))))
% 16.70/16.92 (assume a8754 (forall ((F tptp.fun_nat_real) (I2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_jq F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I2)) (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 I2))))))
% 16.70/16.92 (assume a8755 (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_fg C) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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)))))))
% 16.70/16.92 (assume a8756 (forall ((C tptp.fun_nat_real) (N tptp.nat) (D tptp.fun_nat_real)) (= (forall ((X3 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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)))))))
% 16.70/16.92 (assume a8757 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_gq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8758 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_gx G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8759 (forall ((A tptp.fun_nat_int) (B2 tptp.int)) (=> (forall ((N3 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 N3)))) (=> (forall ((N3 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 N3))) B2))) (tptp.summable_int A)))))
% 16.70/16.92 (assume a8760 (forall ((A tptp.fun_nat_nat) (B2 tptp.nat)) (=> (forall ((N3 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 N3)))) (=> (forall ((N3 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 N3))) B2))) (tptp.summable_nat A)))))
% 16.70/16.92 (assume a8761 (forall ((A tptp.fun_nat_real) (B2 tptp.real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real A (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N3))) B2))) (tptp.summable_real A)))))
% 16.70/16.92 (assume a8762 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 16.70/16.92 (assume a8763 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 16.70/16.92 (assume a8764 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 16.70/16.92 (assume a8765 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 16.70/16.92 (assume a8766 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 16.70/16.92 (assume a8767 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_pk 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_pl A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8768 (forall ((A tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pm A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_po A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8769 (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 ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F I4)) (tptp.aa_complex_real G I4)))))) (=> (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))))))))
% 16.70/16.92 (assume a8770 (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 ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F I4)) (tptp.aa_nat_real G I4)))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups129246275422532515t_real F A2)) (tptp.groups129246275422532515t_real G A2))))))))
% 16.70/16.92 (assume a8771 (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 ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F I4)) (tptp.aa_int_real G I4)))))) (=> (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))))))))
% 16.70/16.92 (assume a8772 (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 ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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 I4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F I4)) (tptp.aa_real_real G I4)))))) (=> (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))))))))
% 16.70/16.92 (assume a8773 (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 ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) 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_complex_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_complex_nat F I4)) (tptp.aa_complex_nat G I4)))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups861055069439313189ex_nat F A2)) (tptp.groups861055069439313189ex_nat G A2))))))))
% 16.70/16.92 (assume a8774 (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 ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) 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 I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat F I4)) (tptp.aa_int_nat G I4)))))) (=> (not (= A2 tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups1707563613775114915nt_nat F A2)) (tptp.groups1707563613775114915nt_nat G A2))))))))
% 16.70/16.92 (assume a8775 (forall ((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 A2)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) 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_real_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F I4)) (tptp.aa_real_nat G I4)))))) (=> (not (= A2 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups4696554848551431203al_nat F A2)) (tptp.groups4696554848551431203al_nat G A2))))))))
% 16.70/16.92 (assume a8776 (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 ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) A2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int F I4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_complex_int F I4)) (tptp.aa_complex_int G I4)))))) (=> (not (= A2 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups858564598930262913ex_int F A2)) (tptp.groups858564598930262913ex_int G A2))))))))
% 16.70/16.92 (assume a8777 (forall ((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 A2)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) A2)) (and (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 I4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F I4)) (tptp.aa_real_int G I4)))))) (=> (not (= A2 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups4694064378042380927al_int F A2)) (tptp.groups4694064378042380927al_int G A2))))))))
% 16.70/16.92 (assume a8778 (forall ((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 A2)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) 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_nat_nat F I4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F I4)) (tptp.aa_nat_nat G I4)))))) (=> (not (= A2 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups708209901874060359at_nat F A2)) (tptp.groups708209901874060359at_nat G A2))))))))
% 16.70/16.92 (assume a8779 (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.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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer F X3)))))))))
% 16.70/16.92 (assume a8780 (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.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.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_com4217951221296830281nteger F X3)))))))))
% 16.70/16.92 (assume a8781 (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)))))))))
% 16.70/16.92 (assume a8782 (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)))))))))
% 16.70/16.92 (assume a8783 (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.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)))))))))
% 16.70/16.92 (assume a8784 (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)))))))))
% 16.70/16.92 (assume a8785 (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)))))))))
% 16.70/16.92 (assume a8786 (forall ((A2 tptp.set_complex) (X tptp.complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A2)) (= (tptp.groups3708469109370488835omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex G X)) (tptp.groups3708469109370488835omplex G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8787 (forall ((A2 tptp.set_int) (X tptp.int) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A2)) (= (tptp.groups7440179247065528705omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex G X)) (tptp.groups7440179247065528705omplex G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8788 (forall ((A2 tptp.set_real) (X tptp.real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A2)) (= (tptp.groups713298508707869441omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex G X)) (tptp.groups713298508707869441omplex G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a8789 (forall ((A2 tptp.set_nat) (X tptp.nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A2)) (= (tptp.groups6464643781859351333omplex G A2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G X)) (tptp.groups6464643781859351333omplex G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat)))))))))
% 16.70/16.92 (assume a8790 (forall ((A2 tptp.set_complex) (X 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 X) A2)) (= (tptp.groups766887009212190081x_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8791 (forall ((A2 tptp.set_int) (X 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 X) A2)) (= (tptp.groups2316167850115554303t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8792 (forall ((A2 tptp.set_real) (X 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 X) A2)) (= (tptp.groups1681761925125756287l_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X)) (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a8793 (forall ((A2 tptp.set_nat) (X 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 X) A2)) (= (tptp.groups129246275422532515t_real G A2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X)) (tptp.groups129246275422532515t_real G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat)))))))))
% 16.70/16.92 (assume a8794 (forall ((A2 tptp.set_complex) (X 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 X) A2)) (= (tptp.groups861055069439313189ex_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_complex_nat G X)) (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8795 (forall ((A2 tptp.set_int) (X tptp.int) (G 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 X) A2)) (= (tptp.groups1707563613775114915nt_nat G A2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat G X)) (tptp.groups1707563613775114915nt_nat G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8796 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_complex) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups3708469109370488835omplex G (tptp.insert_complex X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex G X)) (tptp.groups3708469109370488835omplex G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a8797 (forall ((A2 tptp.set_int) (G tptp.fun_int_complex) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups7440179247065528705omplex G (tptp.insert_int X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex G X)) (tptp.groups7440179247065528705omplex G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a8798 (forall ((A2 tptp.set_real) (G tptp.fun_real_complex) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups713298508707869441omplex G (tptp.insert_real X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex G X)) (tptp.groups713298508707869441omplex G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a8799 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_complex) (X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups6464643781859351333omplex G (tptp.insert_nat X A2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex G X)) (tptp.groups6464643781859351333omplex G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat))))))))
% 16.70/16.92 (assume a8800 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_real) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real G X)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a8801 (forall ((A2 tptp.set_int) (G tptp.fun_int_real) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real G X)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a8802 (forall ((A2 tptp.set_real) (G tptp.fun_real_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real G X)) (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A2 (tptp.insert_real X tptp.bot_bot_set_real))))))))
% 16.70/16.92 (assume a8803 (forall ((A2 tptp.set_nat) (G tptp.fun_nat_real) (X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X A2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G X)) (tptp.groups129246275422532515t_real G (tptp.minus_minus_set_nat A2 (tptp.insert_nat X tptp.bot_bot_set_nat))))))))
% 16.70/16.92 (assume a8804 (forall ((A2 tptp.set_complex) (G tptp.fun_complex_nat) (X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (= (tptp.groups861055069439313189ex_nat G (tptp.insert_complex X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_complex_nat G X)) (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex X tptp.bot_bot_set_complex))))))))
% 16.70/16.92 (assume a8805 (forall ((A2 tptp.set_int) (G tptp.fun_int_nat) (X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (= (tptp.groups1707563613775114915nt_nat G (tptp.insert_int X A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat G X)) (tptp.groups1707563613775114915nt_nat G (tptp.minus_minus_set_int A2 (tptp.insert_int X tptp.bot_bot_set_int))))))))
% 16.70/16.92 (assume a8806 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_complex) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a8807 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a8808 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a8809 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.70/16.92 (assume a8810 (forall ((X tptp.fun_nat_fun_nat_nat) (Xa2 tptp.nat) (Xb tptp.nat) (Xc tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X Xa2) Xb) Xc) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa2)) (= Y Xc)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa2))) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Xa2) tptp.one_one_nat)) Xb) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X Xa2) Xc))))))))
% 16.70/16.92 (assume a8811 (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)))))))
% 16.70/16.92 (assume a8812 (forall ((S tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_complex) (C tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aa_fun4268748527592579270omplex (tptp.aTP_Lamm_pp A) B) C) S) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex B A)) (tptp.groups3708469109370488835omplex C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups3708469109370488835omplex (tptp.aa_fun3187328805393345264omplex (tptp.aa_fun4268748527592579270omplex (tptp.aTP_Lamm_pp A) B) C) S) (tptp.groups3708469109370488835omplex C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8813 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_complex) (C tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aa_fun8701580876069687872omplex (tptp.aTP_Lamm_he A) B) C) S) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex B A)) (tptp.groups7440179247065528705omplex C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups7440179247065528705omplex (tptp.aa_fun3088484340408535532omplex (tptp.aa_fun8701580876069687872omplex (tptp.aTP_Lamm_he A) B) C) S) (tptp.groups7440179247065528705omplex C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8814 (forall ((S tptp.set_real) (A tptp.real) (B tptp.fun_real_complex) (C tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aa_fun2106233272836097472omplex (tptp.aTP_Lamm_hh A) B) C) S) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex B A)) (tptp.groups713298508707869441omplex C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aa_fun2106233272836097472omplex (tptp.aTP_Lamm_hh A) B) C) S) (tptp.groups713298508707869441omplex C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a8815 (forall ((S tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_complex) (C tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_pq A) B) C) S) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex B A)) (tptp.groups6464643781859351333omplex C (tptp.minus_minus_set_nat S (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_pq A) B) C) S) (tptp.groups6464643781859351333omplex C (tptp.minus_minus_set_nat S (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 16.70/16.92 (assume a8816 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_hb A) B) C) S) (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 S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_hb A) B) C) S) (tptp.groups766887009212190081x_real C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8817 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_hf A) B) C) S) (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 S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_hf A) B) C) S) (tptp.groups2316167850115554303t_real C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8818 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_hi A) B) C) S) (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 S (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_hi A) B) C) S) (tptp.groups1681761925125756287l_real C (tptp.minus_minus_set_real S (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.70/16.92 (assume a8819 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S)) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_pr A) B) C) S) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real B A)) (tptp.groups129246275422532515t_real C (tptp.minus_minus_set_nat S (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S))) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_pr A) B) C) S) (tptp.groups129246275422532515t_real C (tptp.minus_minus_set_nat S (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 16.70/16.92 (assume a8820 (forall ((S 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 S)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S)) (= (tptp.groups861055069439313189ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_hc A) B) C) S) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_complex_nat B A)) (tptp.groups861055069439313189ex_nat C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S))) (= (tptp.groups861055069439313189ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_hc A) B) C) S) (tptp.groups861055069439313189ex_nat C (tptp.minus_811609699411566653omplex S (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.70/16.92 (assume a8821 (forall ((S tptp.set_int) (A tptp.int) (B tptp.fun_int_nat) (C tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S)) (= (tptp.groups1707563613775114915nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aa_fun5407591398502139302nt_nat (tptp.aTP_Lamm_hg A) B) C) S) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat B A)) (tptp.groups1707563613775114915nt_nat C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S))) (= (tptp.groups1707563613775114915nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aa_fun5407591398502139302nt_nat (tptp.aTP_Lamm_hg A) B) C) S) (tptp.groups1707563613775114915nt_nat C (tptp.minus_minus_set_int S (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.70/16.92 (assume a8822 (forall ((I6 tptp.set_real) (Z tptp.fun_real_real) (W tptp.fun_real_real)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (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 W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups1681761925125756287l_real Z I6)) (tptp.groups1681761925125756287l_real W I6)))) (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ps Z) W) I6)))))))
% 16.70/16.92 (assume a8823 (forall ((I6 tptp.set_int) (Z tptp.fun_int_real) (W tptp.fun_int_real)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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_int_real Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (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_int_real W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups2316167850115554303t_real Z I6)) (tptp.groups2316167850115554303t_real W I6)))) (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_pt Z) W) I6)))))))
% 16.70/16.92 (assume a8824 (forall ((I6 tptp.set_complex) (Z tptp.fun_complex_real) (W tptp.fun_complex_real)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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_complex_real Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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_complex_real W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups766887009212190081x_real Z I6)) (tptp.groups766887009212190081x_real W I6)))) (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pu Z) W) I6)))))))
% 16.70/16.92 (assume a8825 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (Z tptp.fun_Pr672294278902479040t_real) (W tptp.fun_Pr672294278902479040t_real)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (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_Pro6168199777849092593t_real Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (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_Pro6168199777849092593t_real W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups6036352826371341000t_real Z I6)) (tptp.groups6036352826371341000t_real W I6)))) (tptp.groups4567486121110086003t_real (tptp.aa_fun8712866722335801276t_real (tptp.aTP_Lamm_pv Z) W) I6)))))))
% 16.70/16.92 (assume a8826 (forall ((I6 tptp.set_real) (Z tptp.fun_real_complex) (W tptp.fun_real_complex)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups713298508707869441omplex Z I6)) (tptp.groups713298508707869441omplex W I6)))) (tptp.groups8097168146408367636l_real (tptp.aa_fun2786211375485122666l_real (tptp.aTP_Lamm_pw Z) W) I6)))))))
% 16.70/16.92 (assume a8827 (forall ((I6 tptp.set_int) (Z tptp.fun_int_complex) (W tptp.fun_int_complex)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_int_complex Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_int_complex W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups7440179247065528705omplex Z I6)) (tptp.groups7440179247065528705omplex W I6)))) (tptp.groups8778361861064173332t_real (tptp.aa_fun1985759105522019690t_real (tptp.aTP_Lamm_px Z) W) I6)))))))
% 16.70/16.92 (assume a8828 (forall ((I6 tptp.set_complex) (Z tptp.fun_complex_complex) (W tptp.fun_complex_complex)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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 Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (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 W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups3708469109370488835omplex Z I6)) (tptp.groups3708469109370488835omplex W I6)))) (tptp.groups5808333547571424918x_real (tptp.aa_fun1953249243402654830x_real (tptp.aTP_Lamm_py Z) W) I6)))))))
% 16.70/16.92 (assume a8829 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (Z tptp.fun_Pr4050773816208733250omplex) (W tptp.fun_Pr4050773816208733250omplex)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_Pro82899191565270131omplex Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_Pro82899191565270131omplex W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups8110221916422527690omplex Z I6)) (tptp.groups8110221916422527690omplex W I6)))) (tptp.groups4567486121110086003t_real (tptp.aa_fun6819693891783611194t_real (tptp.aTP_Lamm_pz Z) W) I6)))))))
% 16.70/16.92 (assume a8830 (forall ((I6 tptp.set_nat) (Z tptp.fun_nat_real) (W tptp.fun_nat_real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.groups129246275422532515t_real Z I6)) (tptp.groups129246275422532515t_real W I6)))) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_qa Z) W) I6)))))))
% 16.70/16.92 (assume a8831 (forall ((I6 tptp.set_nat) (Z tptp.fun_nat_complex) (W tptp.fun_nat_complex)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 Z I4))) tptp.one_one_real)))) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (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 W I4))) tptp.one_one_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups6464643781859351333omplex Z I6)) (tptp.groups6464643781859351333omplex W I6)))) (tptp.groups6591440286371151544t_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_qb Z) W) I6)))))))
% 16.70/16.92 (assume a8832 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K tptp.nat)) (=> (forall ((W2 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg C) W2) (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)))))
% 16.70/16.92 (assume a8833 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K tptp.nat)) (=> (forall ((W2 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) W2) (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)))))
% 16.70/16.92 (assume a8834 (forall ((C tptp.fun_nat_complex) (N tptp.nat)) (= (forall ((X3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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))))))
% 16.70/16.92 (assume a8835 (forall ((C tptp.fun_nat_real) (N tptp.nat)) (= (forall ((X3 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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))))))
% 16.70/16.92 (assume a8836 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex G tptp.zero_zero_nat)) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_fp G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8837 (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_gx G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8838 (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_gq G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8839 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ez G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.70/16.92 (assume a8840 (forall ((F tptp.fun_nat_complex) (M tptp.nat) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex 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_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat (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)))))))
% 16.70/16.92 (assume a8841 (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.aa_nat_set_nat (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)))))))
% 16.70/16.92 (assume a8842 (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.aa_nat_set_nat (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)))))))
% 16.70/16.92 (assume a8843 (forall ((F tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (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.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (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)))))))
% 16.70/16.92 (assume a8844 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 16.70/16.92 (assume a8845 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_qc 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))))
% 16.70/16.92 (assume a8846 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_qd A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (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))))
% 16.70/16.92 (assume a8847 (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_qe N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_qg G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8848 (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_qe N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_qi G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8849 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc N)) M)))))))
% 16.70/16.92 (assume a8850 (forall ((B2 tptp.set_int) (A2 tptp.set_int) (F tptp.fun_int_real)) (=> (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 ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B2 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 B3))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) 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 A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A2)) (tptp.groups2316167850115554303t_real F B2)))))))))
% 16.70/16.92 (assume a8851 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (=> (forall ((B3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B3) (tptp.minus_1356011639430497352at_nat B2 A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_Pro6168199777849092593t_real F B3))))) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_Pro6168199777849092593t_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6036352826371341000t_real F A2)) (tptp.groups6036352826371341000t_real F B2)))))))))
% 16.70/16.92 (assume a8852 (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)))))))))
% 16.70/16.92 (assume a8853 (forall ((B2 tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr7647638413817135296at_int)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.ord_le3146513528884898305at_nat A2) B2)) (=> (forall ((B3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B3) (tptp.minus_1356011639430497352at_nat 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_Pro4240683299535347697at_int F B3))))) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat 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_Pro4240683299535347697at_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups4075276357253098568at_int F A2)) (tptp.groups4075276357253098568at_int F B2)))))))))
% 16.70/16.92 (assume a8854 (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)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex 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_complex_int F B3))))) (=> (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.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups858564598930262913ex_int F A2)) (tptp.groups858564598930262913ex_int F B2)))))))))
% 16.70/16.92 (assume a8855 (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)))))))))
% 16.70/16.92 (assume a8856 (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)))))))))
% 16.70/16.92 (assume a8857 (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.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.groups129246275422532515t_real F A2)) (tptp.groups129246275422532515t_real F B2)))))))))
% 16.70/16.92 (assume a8858 (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.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_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int F B3))))) (=> (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.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups705719431365010083at_int F A2)) (tptp.groups705719431365010083at_int F B2)))))))))
% 16.70/16.92 (assume a8859 (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)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int 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_int_int F B3))))) (=> (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.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups1705073143266064639nt_int F A2)) (tptp.groups1705073143266064639nt_int F B2)))))))))
% 16.70/16.92 (assume a8860 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= (tptp.aa_complex_nat F A) tptp.zero_zero_nat)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups861055069439313189ex_nat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups861055069439313189ex_nat F A2)) (tptp.aa_complex_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups861055069439313189ex_nat F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups861055069439313189ex_nat F A2))))))))
% 16.70/16.92 (assume a8861 (forall ((A2 tptp.set_int) (F tptp.fun_int_nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= (tptp.aa_int_nat F A) tptp.zero_zero_nat)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups1707563613775114915nt_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.divide_divide_nat (tptp.groups1707563613775114915nt_nat F A2)) (tptp.aa_int_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups1707563613775114915nt_nat F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups1707563613775114915nt_nat F A2))))))))
% 16.70/16.92 (assume a8862 (forall ((A2 tptp.set_real) (F tptp.fun_real_nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= (tptp.aa_real_nat F A) tptp.zero_zero_nat)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups4696554848551431203al_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.divide_divide_nat (tptp.groups4696554848551431203al_nat F A2)) (tptp.aa_real_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups4696554848551431203al_nat F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups4696554848551431203al_nat F A2))))))))
% 16.70/16.92 (assume a8863 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_real) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= (tptp.aa_complex_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups766887009212190081x_real F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.groups766887009212190081x_real F A2)) (tptp.aa_complex_real F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups766887009212190081x_real F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups766887009212190081x_real F A2))))))))
% 16.70/16.92 (assume a8864 (forall ((A2 tptp.set_int) (F tptp.fun_int_real) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A2)) (=> (not (= (tptp.aa_int_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2)) (= (tptp.groups2316167850115554303t_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.divide_divide_real (tptp.groups2316167850115554303t_real F A2)) (tptp.aa_int_real F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A2))) (= (tptp.groups2316167850115554303t_real F (tptp.minus_minus_set_int A2 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups2316167850115554303t_real F A2))))))))
% 16.70/16.92 (assume a8865 (forall ((A2 tptp.set_real) (F tptp.fun_real_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= (tptp.aa_real_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups1681761925125756287l_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.divide_divide_real (tptp.groups1681761925125756287l_real F A2)) (tptp.aa_real_real F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups1681761925125756287l_real F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1681761925125756287l_real F A2))))))))
% 16.70/16.92 (assume a8866 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_real) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (=> (not (= (tptp.aa_nat_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2)) (= (tptp.groups129246275422532515t_real F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.groups129246275422532515t_real F A2)) (tptp.aa_nat_real F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A2))) (= (tptp.groups129246275422532515t_real F (tptp.minus_minus_set_nat A2 (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.groups129246275422532515t_real F A2))))))))
% 16.70/16.92 (assume a8867 (forall ((A2 tptp.set_complex) (F tptp.fun_complex_int) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A2)) (=> (not (= (tptp.aa_complex_int F A) tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2)) (= (tptp.groups858564598930262913ex_int F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.groups858564598930262913ex_int F A2)) (tptp.aa_complex_int F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A2))) (= (tptp.groups858564598930262913ex_int F (tptp.minus_811609699411566653omplex A2 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups858564598930262913ex_int F A2))))))))
% 16.70/16.92 (assume a8868 (forall ((A2 tptp.set_real) (F tptp.fun_real_int) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A2)) (=> (not (= (tptp.aa_real_int F A) tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2)) (= (tptp.groups4694064378042380927al_int F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_int_int (tptp.divide_divide_int (tptp.groups4694064378042380927al_int F A2)) (tptp.aa_real_int F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A2))) (= (tptp.groups4694064378042380927al_int F (tptp.minus_minus_set_real A2 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups4694064378042380927al_int F A2))))))))
% 16.70/16.92 (assume a8869 (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))))))))
% 16.70/16.92 (assume a8870 (forall ((X 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) X)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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 X) (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8871 (forall ((X 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) X)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) (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 X) (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8872 (forall ((X 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) X)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N))))))
% 16.70/16.92 (assume a8873 (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_qj C) N))))))))
% 16.70/16.92 (assume a8874 (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_qk C) N))))))))
% 16.70/16.92 (assume a8875 (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_qj 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)))))))
% 16.70/16.92 (assume a8876 (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_qk 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)))))))
% 16.70/16.92 (assume a8877 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ql A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8878 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_qm A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8879 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups3455450783089532116nteger (tptp.aTP_Lamm_qn A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8880 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_qo A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8881 (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_qp A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8882 (forall ((C tptp.fun_nat_complex) (A tptp.complex) (N tptp.nat)) (=> (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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 ((Z2 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg C) Z2) (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 Z2) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.70/16.92 (assume a8883 (forall ((C tptp.fun_nat_int) (A tptp.int) (N tptp.nat)) (=> (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq 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 ((Z2 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq C) Z2) (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 Z2) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.70/16.92 (assume a8884 (forall ((C tptp.fun_nat_real) (A tptp.real) (N tptp.nat)) (=> (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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 ((Z2 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) Z2) (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 Z2) A)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.70/16.92 (assume a8885 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (A tptp.complex)) (exists ((B3 tptp.fun_nat_complex)) (forall ((Z2 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg C) Z2) (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 Z2) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.70/16.92 (assume a8886 (forall ((C tptp.fun_nat_int) (N tptp.nat) (A tptp.int)) (exists ((B3 tptp.fun_nat_int)) (forall ((Z2 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq C) Z2) (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 Z2) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.70/16.92 (assume a8887 (forall ((C tptp.fun_nat_real) (N tptp.nat) (A tptp.real)) (exists ((B3 tptp.fun_nat_real)) (forall ((Z2 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) Z2) (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 Z2) A)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe B3) Z2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.70/16.92 (assume a8888 (forall ((M tptp.nat) (N tptp.nat) (X 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 X) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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))))))))
% 16.70/16.92 (assume a8889 (forall ((M tptp.nat) (N tptp.nat) (X 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 X) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) M)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X) (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))))))))
% 16.70/16.92 (assume a8890 (forall ((M tptp.nat) (N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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))))))))
% 16.70/16.92 (assume a8891 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_qr A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.70/16.92 (assume a8892 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) (tptp.groups6464643781859351333omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_qs A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.70/16.92 (assume a8893 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) N) (tptp.groups3455450783089532116nteger (tptp.aa_nat2010205248571845816nteger (tptp.aTP_Lamm_qt A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.70/16.92 (assume a8894 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qu A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.70/16.92 (assume a8895 (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_qv A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.70/16.92 (assume a8896 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_am (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M))))))
% 16.70/16.92 (assume a8897 (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_qw N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_qg G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8898 (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_qw N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_qi G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.92 (assume a8899 (forall ((A tptp.fun_nat_complex) (B tptp.fun_nat_complex)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn B)) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qy A) B))))))
% 16.70/16.92 (assume a8900 (forall ((A tptp.fun_nat_real) (B tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq B)) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ra A) B))))))
% 16.70/16.92 (assume a8901 (forall ((A tptp.fun_nat_complex) (B tptp.fun_nat_complex)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn B)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex A)) (tptp.suminf_complex B)) (tptp.suminf_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qy A) B)))))))
% 16.70/16.92 (assume a8902 (forall ((A tptp.fun_nat_real) (B tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq B)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.suminf_real A)) (tptp.suminf_real B)) (tptp.suminf_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ra A) B)))))))
% 16.70/16.92 (assume a8903 (forall ((G tptp.fun_nat_complex) (M tptp.nat) (N tptp.nat)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_ok G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8904 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ol G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8905 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_om G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8906 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_on G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 16.70/16.92 (assume a8907 (forall ((F tptp.fun_na8797796813480665199d_enat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups7108830773950497114d_enat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_Ext7969882492699152700d_enat (tptp.set_fo2538466533108834004d_enat (tptp.aTP_Lamm_rb F) A B) tptp.zero_z5237406670263579293d_enat))))
% 16.70/16.92 (assume a8908 (forall ((F tptp.fun_nat_complex) (A tptp.nat) (B tptp.nat)) (= (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_rc F) A B) tptp.zero_zero_complex))))
% 16.70/16.92 (assume a8909 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B tptp.nat)) (= (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_rd F) A B) tptp.zero_zero_int))))
% 16.70/16.92 (assume a8910 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_re F) A) B) tptp.zero_zero_nat))))
% 16.70/16.92 (assume a8911 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B tptp.nat)) (= (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_rf F) A) B) tptp.zero_zero_real))))
% 16.70/16.92 (assume a8912 (forall ((G tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex 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.groups2073611262835488442omplex (tptp.aTP_Lamm_ib G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8913 (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_ic G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8914 (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_id G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8915 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (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.groups6591440286371151544t_real (tptp.aTP_Lamm_ie G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.92 (assume a8916 (forall ((M tptp.nat) (A tptp.fun_nat_complex) (N tptp.nat) (B tptp.fun_nat_complex) (X tptp.complex)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) I4)) (= (tptp.aa_nat_complex A I4) 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_fg A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg B) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_fun3721018923249493343omplex (tptp.aTP_Lamm_rg A) B) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))))
% 16.70/16.92 (assume a8917 (forall ((M tptp.nat) (A tptp.fun_nat_int) (N tptp.nat) (B tptp.fun_nat_int) (X tptp.int)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) I4)) (= (tptp.aa_nat_int A I4) 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_qq A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq B) X) (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_ri A) B) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))))
% 16.70/16.92 (assume a8918 (forall ((M tptp.nat) (A tptp.fun_nat_real) (N tptp.nat) (B tptp.fun_nat_real) (X tptp.real)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) I4)) (= (tptp.aa_nat_real A I4) 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.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe B) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_fun4732485501138722137t_real (tptp.aTP_Lamm_rj A) B) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))))
% 16.70/16.92 (assume a8919 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_qr A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8920 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups6464643781859351333omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_qs A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8921 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups3455450783089532116nteger (tptp.aa_nat2010205248571845816nteger (tptp.aTP_Lamm_qt A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8922 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qu A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8923 (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_qv A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.70/16.92 (assume a8924 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K tptp.complex)) (= (forall ((X3 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))) (= (tptp.aa_nat_complex C X3) tptp.zero_zero_complex)))))))
% 16.70/16.92 (assume a8925 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K tptp.real)) (= (forall ((X3 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))) (= (tptp.aa_nat_real C X3) tptp.zero_zero_real)))))))
% 16.70/16.92 (assume a8926 (forall ((A tptp.complex) (M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_rk A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (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)) M)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) M)))))
% 16.70/16.92 (assume a8927 (forall ((A tptp.real) (M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_rl 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_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) M)))))
% 16.70/16.92 (assume a8928 (forall ((M tptp.nat) (A tptp.fun_nat_nat) (N tptp.nat) (B tptp.fun_nat_nat) (X tptp.nat)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) I4)) (= (tptp.aa_nat_nat A I4) 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_rm A) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_rm B) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_ro A) B) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))))
% 16.70/16.92 (assume a8929 (forall ((A tptp.fun_nat_complex) (B tptp.fun_nat_complex)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fn B)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qy A) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex A)) (tptp.suminf_complex B))))))))
% 16.70/16.92 (assume a8930 (forall ((A tptp.fun_nat_real) (B tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq A)) (=> (tptp.summable_real (tptp.aTP_Lamm_fq B)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ra A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.suminf_real A)) (tptp.suminf_real B))))))))
% 16.70/16.92 (assume a8931 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_rp A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8932 (forall ((A tptp.code_integer) (K tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.gbinom8545251970709558553nteger A) (tptp.aa_nat_nat tptp.suc K)) (tptp.divide6298287555418463151nteger (tptp.groups3455450783089532116nteger (tptp.aTP_Lamm_rq A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8933 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_rr A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8934 (forall ((A tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rs A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8935 (forall ((A tptp.int) (K tptp.nat)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_int_int (tptp.divide_divide_int (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_rt A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc K))))))
% 16.70/16.92 (assume a8936 (forall ((P2 tptp.nat) (K tptp.nat) (G tptp.fun_na8797796813480665199d_enat) (H tptp.fun_na8797796813480665199d_enat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups7108830773950497114d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_ru K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups7108830773950497114d_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_pb 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8937 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_rv K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_pd 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8938 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_rw K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_pj 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8939 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rx K) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_ph 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8940 (forall ((P2 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) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) P2)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_ry K) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_pf 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 P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.70/16.92 (assume a8941 (forall ((M tptp.nat) (A tptp.complex) (X tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_rz M) A) X) 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_sa M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 16.70/16.92 (assume a8942 (forall ((M tptp.nat) (A tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_sb M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_sc M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 16.70/16.92 (assume a8943 (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_sd N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int)))))
% 16.70/16.92 (assume a8944 (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_se N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)))))
% 16.70/16.92 (assume a8945 (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_sf N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger)))))
% 16.70/16.92 (assume a8946 (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.aa_real_fun_nat_real tptp.power_power_real Z) N) A) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_sg N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a8947 (forall ((X tptp.complex) (N tptp.nat)) (and (=> (= X tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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 (= X tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X) (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 X) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X)))))))
% 16.70/16.93 (assume a8948 (forall ((X tptp.real) (N tptp.nat)) (and (=> (= X tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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 (= X tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (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.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))))))
% 16.70/16.93 (assume a8949 (forall ((M tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_sh 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))))
% 16.70/16.93 (assume a8950 (forall ((M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_si M) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) M))))
% 16.70/16.93 (assume a8951 (forall ((M tptp.nat) (A tptp.complex) (X tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_rz M) A) X) 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_sj M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 16.70/16.93 (assume a8952 (forall ((M tptp.nat) (A tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_sb M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_sk M) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)))))
% 16.70/16.93 (assume a8953 (forall ((N tptp.nat) (A tptp.fun_nat_complex) (X 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_fg A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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 X) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_sm N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8954 (forall ((N tptp.nat) (A tptp.fun_nat_int) (X 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_qq A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq 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 X) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_so N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8955 (forall ((N tptp.nat) (A tptp.fun_nat_real) (X 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.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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 X) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_sq N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8956 (forall ((E 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) E)) (exists ((M8 tptp.real)) (forall ((Z2 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 Z2))) (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_fg C) Z2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real E) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z2)) (tptp.aa_nat_nat tptp.suc N)))))))))))
% 16.70/16.93 (assume a8957 (forall ((E 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) E)) (exists ((M8 tptp.real)) (forall ((Z2 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 Z2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe C) Z2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real E) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z2)) (tptp.aa_nat_nat tptp.suc N)))))))))))
% 16.70/16.93 (assume a8958 (forall ((N tptp.nat) (A tptp.fun_nat_complex) (X 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_fg A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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 X) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_ss N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8959 (forall ((N tptp.nat) (A tptp.fun_nat_int) (X 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_qq A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_qq 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 X) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_su N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8960 (forall ((N tptp.nat) (A tptp.fun_nat_real) (X 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.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe A) X) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe 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 X) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_sw N) A) X) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.70/16.93 (assume a8961 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 16.70/16.93 (assume a8962 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 16.70/16.93 (assume a8963 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 16.70/16.93 (assume a8964 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 16.70/16.93 (assume a8965 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 16.70/16.93 (assume a8966 (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)))))
% 16.70/16.93 (assume a8967 (forall ((M tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_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.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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)))))
% 16.70/16.93 (assume a8968 (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_sx 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)))))
% 16.70/16.93 (assume a8969 (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_sy 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)))))
% 16.70/16.93 (assume a8970 (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_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_sz 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)))))
% 16.70/16.93 (assume a8971 (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.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_ta N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a8972 (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_tb 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)))))
% 16.70/16.93 (assume a8973 (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_tc 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)))))
% 16.70/16.93 (assume a8974 (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_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_td 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)))))
% 16.70/16.93 (assume a8975 (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.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_te N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a8976 (forall ((X tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.archim2898591450579166408c_real X))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.archim2898591450579166408c_real X)))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))))))
% 16.70/16.93 (assume a8977 (forall ((X tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real X)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real X)) N))))))
% 16.70/16.93 (assume a8978 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B)))))
% 16.70/16.93 (assume a8979 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))
% 16.70/16.93 (assume a8980 (= (tptp.aa_real_real tptp.inverse_inverse_real tptp.one_one_real) tptp.one_one_real))
% 16.70/16.93 (assume a8981 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex tptp.one_one_complex) tptp.one_one_complex))
% 16.70/16.93 (assume a8982 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.inverse_inverse_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 16.70/16.93 (assume a8983 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X) tptp.one_one_complex) (= X tptp.one_one_complex))))
% 16.70/16.93 (assume a8984 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_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 B) A))))
% 16.70/16.93 (assume a8985 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) A))))
% 16.70/16.93 (assume a8986 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) N) (tptp.aa_nat_nat tptp.suc N))))
% 16.70/16.93 (assume a8987 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) N) tptp.one_one_nat)))
% 16.70/16.93 (assume a8988 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.70/16.93 (assume a8989 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a8990 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 16.70/16.93 (assume a8991 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a8992 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))))
% 16.70/16.93 (assume a8993 (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.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))))
% 16.70/16.93 (assume a8994 (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)))
% 16.70/16.93 (assume a8995 (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)))
% 16.70/16.93 (assume a8996 (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)))))
% 16.70/16.93 (assume a8997 (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))))))
% 16.70/16.93 (assume a8998 (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)))
% 16.70/16.93 (assume a8999 (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)))))))
% 16.70/16.93 (assume a9000 (forall ((A2 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A2)) (= (= (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)))))))
% 16.70/16.93 (assume a9001 (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_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.70/16.93 (assume a9002 (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_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.70/16.93 (assume a9003 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.one_one_real))))
% 16.70/16.93 (assume a9004 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) tptp.one_one_complex))))
% 16.70/16.93 (assume a9005 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 16.70/16.93 (assume a9006 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 16.70/16.93 (assume a9007 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.93 (assume a9008 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex W)))))
% 16.70/16.93 (assume a9009 (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)))))
% 16.70/16.93 (assume a9010 (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)))))))))
% 16.70/16.93 (assume a9011 (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.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)))))))))
% 16.70/16.93 (assume a9012 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))
% 16.70/16.93 (assume a9013 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 16.70/16.93 (assume a9014 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X)))))
% 16.70/16.93 (assume a9015 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real A)) N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 16.70/16.93 (assume a9016 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) N) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.70/16.93 (assume a9017 (forall ((Y tptp.real) (X tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real Y)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real Y))))))
% 16.70/16.93 (assume a9018 (forall ((Y tptp.complex) (X tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex Y) X) (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex Y)) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex Y))))))
% 16.70/16.93 (assume a9019 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) tptp.one_one_nat) N)))
% 16.70/16.93 (assume a9020 (forall ((R tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_real_real tptp.inverse_inverse_real R)))))))
% 16.70/16.93 (assume a9021 (forall ((R tptp.real) (X tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X))) (tptp.aa_real_real tptp.inverse_inverse_real R)))))))
% 16.70/16.93 (assume a9022 (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))))
% 16.70/16.93 (assume a9023 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real 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 B) A))))))
% 16.70/16.93 (assume a9024 (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.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9025 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (=> (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 B) A))))))
% 16.70/16.93 (assume a9026 (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 B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9027 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9028 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (=> (not (= A tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A))))))
% 16.70/16.93 (assume a9029 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9030 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))))))
% 16.70/16.93 (assume a9031 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9032 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)))))))
% 16.70/16.93 (assume a9033 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)))))
% 16.70/16.93 (assume a9034 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat tptp.suc K)))))
% 16.70/16.93 (assume a9035 (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)))
% 16.70/16.93 (assume a9036 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.numera6690914467698888265omplex tptp.one)))
% 16.70/16.93 (assume a9037 (forall ((A tptp.real) (B tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B) tptp.one_one_real) (= (tptp.aa_real_real tptp.inverse_inverse_real A) B))))
% 16.70/16.93 (assume a9038 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex A) B) tptp.one_one_complex) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) B))))
% 16.70/16.93 (assume a9039 (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.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real B)) A))))
% 16.70/16.93 (assume a9040 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) A))))
% 16.70/16.93 (assume a9041 (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.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real B)))))
% 16.70/16.93 (assume a9042 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))
% 16.70/16.93 (assume a9043 (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.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real B)))))
% 16.70/16.93 (assume a9044 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))
% 16.70/16.93 (assume a9045 (forall ((M tptp.nat) (R 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) R)) 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) R)) 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) R)) M)))))
% 16.70/16.93 (assume a9046 (forall ((X tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)))))
% 16.70/16.93 (assume a9047 (forall ((X tptp.complex) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) N)) (tptp.aa_nat_complex (tptp.power_power_complex X) M)))))
% 16.70/16.93 (assume a9048 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)))))
% 16.70/16.93 (assume a9049 (forall ((X tptp.complex) (M tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_nat_complex (tptp.power_power_complex X) M)))))
% 16.70/16.93 (assume a9050 (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))))))
% 16.70/16.93 (assume a9051 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A))))
% 16.70/16.93 (assume a9052 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A))))
% 16.70/16.93 (assume a9053 (forall ((R tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R) 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) R)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R))))))
% 16.70/16.93 (assume a9054 (forall ((Xa2 tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Xa2))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Xa2))))))
% 16.70/16.93 (assume a9055 (forall ((Xa2 tptp.nat) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Xa2))) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Xa2))))))
% 16.70/16.93 (assume a9056 (forall ((Xa2 tptp.int) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_int_real tptp.ring_1_of_int_real Xa2))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_int_real tptp.ring_1_of_int_real Xa2))))))
% 16.70/16.93 (assume a9057 (forall ((Xa2 tptp.int) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Xa2))) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Xa2))))))
% 16.70/16.93 (assume a9058 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real Y)))))
% 16.70/16.93 (assume a9059 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.archim2898591450579166408c_real X)))))
% 16.70/16.93 (assume a9060 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) tptp.one_one_real))))
% 16.70/16.93 (assume a9061 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_real_real tptp.archim2898591450579166408c_real X))))
% 16.70/16.93 (assume a9062 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real 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_eq_real B) A))))))
% 16.70/16.93 (assume a9063 (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_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9064 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (=> (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_eq_real B) A))))))
% 16.70/16.93 (assume a9065 (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_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.inverse_inverse_real B)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9066 (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))))))
% 16.70/16.93 (assume a9067 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real X)) tptp.one_one_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 16.70/16.93 (assume a9068 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real X))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 16.70/16.93 (assume a9069 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9070 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B))) (tptp.aa_real_real tptp.inverse_inverse_real B)))))))
% 16.70/16.93 (assume a9071 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))))
% 16.70/16.93 (assume a9072 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.aa_real_real tptp.inverse_inverse_real B)))))))
% 16.70/16.93 (assume a9073 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))))
% 16.70/16.93 (assume a9074 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 16.70/16.93 (assume a9075 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 16.70/16.93 (assume a9076 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A))) (tptp.aa_real_real tptp.inverse_inverse_real B)))))))
% 16.70/16.93 (assume a9077 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.minus_minus_complex B) A))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)))))))
% 16.70/16.93 (assume a9078 (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)))))
% 16.70/16.93 (assume a9079 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)))))
% 16.70/16.93 (assume a9080 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 16.70/16.93 (assume a9081 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_nat_nat tptp.suc K)))))
% 16.70/16.93 (assume a9082 (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))))))))
% 16.70/16.93 (assume a9083 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K)))))
% 16.70/16.93 (assume a9084 (forall ((Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real tptp.inverse_inverse_real Y)) A) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))
% 16.70/16.93 (assume a9085 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tf M)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc M)))))
% 16.70/16.93 (assume a9086 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B))) (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 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))))
% 16.70/16.93 (assume a9087 (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.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B))) (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.times_times_real A) B)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))))
% 16.70/16.93 (assume a9088 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 16.70/16.93 (assume a9089 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real X)) tptp.one_one_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 16.70/16.93 (assume a9090 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real X))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 16.70/16.93 (assume a9091 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B))) (tptp.aa_real_real tptp.inverse_inverse_real B))))))))
% 16.70/16.93 (assume a9092 (forall ((A tptp.complex) (B tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B))))))))
% 16.70/16.93 (assume a9093 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))) X))))))
% 16.70/16.93 (assume a9094 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K)))))
% 16.70/16.93 (assume a9095 (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)))))
% 16.70/16.93 (assume a9096 (forall ((P tptp.fun_real_bool) (E tptp.real)) (=> (forall ((D2 tptp.real) (E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D2) E2)) (=> (tptp.pp (tptp.aa_real_bool P D2)) (tptp.pp (tptp.aa_real_bool P E2))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.pp (tptp.aa_real_bool P E)))))))
% 16.70/16.93 (assume a9097 (forall ((P tptp.fun_real_bool) (E tptp.real)) (=> (forall ((D2 tptp.real) (E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D2) E2)) (=> (tptp.pp (tptp.aa_real_bool P D2)) (tptp.pp (tptp.aa_real_bool P E2))))) (=> (forall ((N3 tptp.nat)) (=> (not (= N3 tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.pp (tptp.aa_real_bool P E)))))))
% 16.70/16.93 (assume a9098 (forall ((E tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (exists ((N5 tptp.nat)) (and (not (= N5 tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5))) E)))))))
% 16.70/16.93 (assume a9099 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt X)) X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))))))
% 16.70/16.93 (assume a9100 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.ln_ln_real X))))))
% 16.70/16.93 (assume a9101 (forall ((I2 tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) J))) (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_an (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) J)))))))
% 16.70/16.93 (assume a9102 (forall ((X tptp.complex)) (tptp.summable_complex (tptp.aTP_Lamm_tg X))))
% 16.70/16.93 (assume a9103 (forall ((X tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_th X))))
% 16.70/16.93 (assume a9104 (forall ((R tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ti R)) (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 R) N))) N))))
% 16.70/16.93 (assume a9105 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tj 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)))))
% 16.70/16.93 (assume a9106 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tj 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))))
% 16.70/16.93 (assume a9107 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) K)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)))))))
% 16.70/16.93 (assume a9108 (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)))))
% 16.70/16.93 (assume a9109 (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)))))))
% 16.70/16.93 (assume a9110 (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))))))))
% 16.70/16.93 (assume a9111 (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))))))))
% 16.70/16.93 (assume a9112 (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)))))
% 16.70/16.93 (assume a9113 (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)))))))
% 16.70/16.93 (assume a9114 (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)))))))
% 16.70/16.93 (assume a9115 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))) X)))))))
% 16.70/16.93 (assume a9116 (forall ((X tptp.real) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) M)))))))
% 16.70/16.93 (assume a9117 (forall ((X tptp.complex) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) M)))))))
% 16.70/16.93 (assume a9118 (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))))))))
% 16.70/16.93 (assume a9119 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.archim2898591450579166408c_real X) X) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 16.70/16.93 (assume a9120 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))))))))
% 16.70/16.93 (assume a9121 (forall ((X tptp.real) (Y tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))))))
% 16.70/16.93 (assume a9122 (forall ((I6 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I6)) (=> (forall ((I4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I4))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups1681761925125756287l_real F I6)) (tptp.groups8097168146408367636l_real (tptp.aTP_Lamm_tk F) I6))))))
% 16.70/16.93 (assume a9123 (forall ((I6 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I6)) (=> (forall ((I4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I4))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups2316167850115554303t_real F I6)) (tptp.groups8778361861064173332t_real (tptp.aTP_Lamm_tl F) I6))))))
% 16.70/16.93 (assume a9124 (forall ((I6 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat I6)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_Pro6168199777849092593t_real F I4))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups6036352826371341000t_real F I6)) (tptp.groups4567486121110086003t_real (tptp.aTP_Lamm_tm F) I6))))))
% 16.70/16.93 (assume a9125 (forall ((I6 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I6)) (=> (forall ((I4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I4))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups766887009212190081x_real F I6)) (tptp.groups5808333547571424918x_real (tptp.aTP_Lamm_tn F) I6))))))
% 16.70/16.93 (assume a9126 (forall ((I6 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I6)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I4) I6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I4))))) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.groups129246275422532515t_real F I6)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_to F) I6))))))
% 16.70/16.93 (assume a9127 (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_tp 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)))))
% 16.70/16.93 (assume a9128 (forall ((M tptp.nat) (N tptp.nat) (R tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_tq M) N) R)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat R)) (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)) R))))
% 16.70/16.93 (assume a9129 (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)))))))
% 16.70/16.93 (assume a9130 (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))))))))
% 16.70/16.93 (assume a9131 (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)))))))
% 16.70/16.93 (assume a9132 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9133 (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))))))
% 16.70/16.93 (assume a9134 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))))))
% 16.70/16.93 (assume a9135 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))))))
% 16.70/16.93 (assume a9136 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 16.70/16.93 (assume a9137 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 16.70/16.93 (assume a9138 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))))))
% 16.70/16.93 (assume a9139 (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_qe N)))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_tr G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9140 (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_qe N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_tt G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9141 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 16.70/16.93 (assume a9142 (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_tu A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9143 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9144 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X)))))))
% 16.70/16.93 (assume a9145 (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_tv A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9146 (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_tw A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9147 (forall ((A tptp.code_integer) (B tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.plus_p5714425477246183910nteger A B)) N) (tptp.groups7501900531339628137nteger (tptp.aa_nat2010205248571845816nteger (tptp.aa_Cod3140087502949435154nteger (tptp.aTP_Lamm_tx A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9148 (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_tu A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9149 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) N) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ty A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9150 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.inverse_inverse_real X)))))
% 16.70/16.93 (assume a9151 (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_tz A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9152 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) N) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_ua A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9153 (forall ((A tptp.code_integer) (B tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger A B)) N) (tptp.groups7501900531339628137nteger (tptp.aa_nat2010205248571845816nteger (tptp.aa_Cod3140087502949435154nteger (tptp.aTP_Lamm_ub A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9154 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) N) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_uc A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.70/16.93 (assume a9155 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ud N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N))))
% 16.70/16.93 (assume a9156 (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_qw N)))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_tr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.93 (assume a9157 (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_qw N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_tt G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.70/16.93 (assume a9158 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.tan_real X)))))
% 16.70/16.93 (assume a9159 (forall ((X tptp.real) (Y tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) tptp.one_one_int))))))
% 16.70/16.93 (assume a9160 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9161 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9162 (forall ((X tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.cos_real X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9163 (forall ((X tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.cos_complex X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9164 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_ue N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 16.70/16.93 (assume a9165 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_uf N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a9166 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_ug N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.93 (assume a9167 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_uh N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 16.70/16.93 (assume a9168 (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)))))
% 16.70/16.93 (assume a9169 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ui N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 16.70/16.93 (assume a9170 (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_uj N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 16.70/16.93 (assume a9171 (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_uk N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a9172 (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_ul N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger))))
% 16.70/16.93 (assume a9173 (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.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_um N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 16.70/16.93 (assume a9174 (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)))))))))
% 16.70/16.93 (assume a9175 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N)))))))
% 16.70/16.93 (assume a9176 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_uo X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.70/16.93 (assume a9177 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uq X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.sin_complex Y))))))
% 16.70/16.93 (assume a9178 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_us X) Y)) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))))))
% 16.70/16.93 (assume a9179 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uu X) Y)) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))))))
% 16.70/16.93 (assume a9180 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_uw X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))
% 16.70/16.93 (assume a9181 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uy X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))))))
% 16.70/16.93 (assume a9182 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_uz X))))))
% 16.70/16.93 (assume a9183 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex X) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) X)) (tptp.suminf_complex (tptp.aTP_Lamm_va X))))))
% 16.70/16.93 (assume a9184 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) N)))
% 16.70/16.93 (assume a9185 (forall ((X tptp.real) (A tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)))))
% 16.70/16.93 (assume a9186 (forall ((X tptp.complex) (A tptp.real) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) Y)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) (tptp.aa_complex_complex (tptp.times_times_complex X) Y)))))
% 16.70/16.93 (assume a9187 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)))))
% 16.70/16.93 (assume a9188 (forall ((A tptp.real) (X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) X)) Y) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) (tptp.aa_complex_complex (tptp.times_times_complex X) Y)))))
% 16.70/16.93 (assume a9189 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real tptp.one_one_real) X) X)))
% 16.70/16.93 (assume a9190 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex tptp.one_one_real) X) X)))
% 16.70/16.93 (assume a9191 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) X))))
% 16.70/16.93 (assume a9192 (forall ((A tptp.real) (B tptp.real) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex B) X)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B)) X))))
% 16.70/16.93 (assume a9193 (forall ((B tptp.real) (U tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real U) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real U) B))) (or (= A B) (= U tptp.one_one_real)))))
% 16.70/16.93 (assume a9194 (forall ((B tptp.complex) (U tptp.real) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex B) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex U) A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex U) B))) (or (= A B) (= U tptp.one_one_real)))))
% 16.70/16.93 (assume a9195 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real X) Y)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N)))))
% 16.70/16.93 (assume a9196 (forall ((X tptp.real) (Y tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex X) Y)) N) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)))))
% 16.70/16.93 (assume a9197 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X) (tptp.aa_real_real tptp.uminus_uminus_real X))))
% 16.70/16.93 (assume a9198 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))))
% 16.70/16.93 (assume a9199 (forall ((U tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) U)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real U) A)) A)))
% 16.70/16.93 (assume a9200 (forall ((U tptp.real) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) U)) A)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex U) A)) A)))
% 16.70/16.93 (assume a9201 (forall ((A tptp.real) (X tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)))))
% 16.70/16.93 (assume a9202 (forall ((A tptp.real) (X tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.93 (assume a9203 (forall ((U tptp.num) (W tptp.num) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real W))) A))))
% 16.70/16.93 (assume a9204 (forall ((U tptp.num) (W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real W))) A))))
% 16.70/16.93 (assume a9205 (forall ((V tptp.num) (W tptp.num) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_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 V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real V))) A))))
% 16.70/16.93 (assume a9206 (forall ((V tptp.num) (W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real V))) A))))
% 16.70/16.93 (assume a9207 (forall ((U tptp.num) (V tptp.num) (W tptp.num) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_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.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_num_real tptp.numeral_numeral_real V))) A))))
% 16.70/16.93 (assume a9208 (forall ((U tptp.num) (V tptp.num) (W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (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 U)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_num_real tptp.numeral_numeral_real V))) A))))
% 16.70/16.93 (assume a9209 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A)) A)))
% 16.70/16.93 (assume a9210 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (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_complex_complex (tptp.plus_plus_complex A) A)) A)))
% 16.70/16.93 (assume a9211 (forall ((A tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) X))))
% 16.70/16.93 (assume a9212 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) Y)))))
% 16.70/16.93 (assume a9213 (forall ((A tptp.real) (X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) X)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) Y)))))
% 16.70/16.93 (assume a9214 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) Xa2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real X) Xa2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real Y) Xa2)))))
% 16.70/16.93 (assume a9215 (forall ((X tptp.real) (Y tptp.real) (Xa2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) Xa2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex X) Xa2)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex Y) Xa2)))))
% 16.70/16.93 (assume a9216 (forall ((A tptp.real) (B tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) X)))))
% 16.70/16.93 (assume a9217 (forall ((A tptp.real) (B tptp.real) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) X) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex A) X)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex B) X)))))
% 16.70/16.93 (assume a9218 (forall ((R tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real R) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real R)) X))))
% 16.70/16.93 (assume a9219 (forall ((R tptp.real) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) X) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R)) X))))
% 16.70/16.93 (assume a9220 (forall ((R tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real R) tptp.one_one_real))))
% 16.70/16.93 (assume a9221 (forall ((R tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) tptp.one_one_complex))))
% 16.70/16.93 (assume a9222 (forall ((R tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) (tptp.aa_real_complex (tptp.complex2 A) B)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) B)))))
% 16.70/16.93 (assume a9223 (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.real_V1485227260804924795R_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) C)))))))
% 16.70/16.93 (assume a9224 (forall ((A tptp.real) (B tptp.real) (X 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) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) X)))))))
% 16.70/16.93 (assume a9225 (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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_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)))))))
% 16.70/16.93 (assume a9226 (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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 16.70/16.93 (assume a9227 (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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.70/16.93 (assume a9228 (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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) B)))))))
% 16.70/16.93 (assume a9229 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (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.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) Y)))))))
% 16.70/16.93 (assume a9230 (forall ((U tptp.real) (V tptp.real) (A tptp.real) (X tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) V)) A) X) (and (=> (= V tptp.zero_zero_real) (= X tptp.zero_zero_real)) (=> (not (= V tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real U) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real V) X)))))))
% 16.70/16.93 (assume a9231 (forall ((U tptp.real) (V tptp.real) (A tptp.complex) (X tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) V)) A) X) (and (=> (= V tptp.zero_zero_real) (= X tptp.zero_zero_complex)) (=> (not (= V tptp.zero_zero_real)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex U) A) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex V) X)))))))
% 16.70/16.93 (assume a9232 (forall ((X tptp.real) (U tptp.real) (V tptp.real) (A tptp.real)) (= (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) V)) A)) (and (=> (= V tptp.zero_zero_real) (= X tptp.zero_zero_real)) (=> (not (= V tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real V) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real U) A)))))))
% 16.70/16.93 (assume a9233 (forall ((X tptp.complex) (U tptp.real) (V tptp.real) (A tptp.complex)) (= (= X (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) V)) A)) (and (=> (= V tptp.zero_zero_real) (= X tptp.zero_zero_complex)) (=> (not (= V tptp.zero_zero_real)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex V) X) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex U) A)))))))
% 16.70/16.93 (assume a9234 (forall ((A tptp.real) (E 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.real_V1485227260804924795R_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) E)) D))))))
% 16.70/16.93 (assume a9235 (forall ((A tptp.real) (E 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.real_V1485227260804924795R_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B)) E)) C)) D)))))
% 16.70/16.93 (assume a9236 (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.real_V1485227260804924795R_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_eq_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_eq_real B) tptp.zero_zero_real))) (= A tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9237 (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.real_V1485227260804924795R_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_eq_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_eq_real tptp.zero_zero_real) B))) (= A tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9238 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y 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 X) Y)) (=> (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) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) Y)))))))))
% 16.70/16.93 (assume a9239 (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.real_V1485227260804924795R_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real B) D)))))))))
% 16.70/16.93 (assume a9240 (forall ((A tptp.real) (X 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 X) 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) X)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9241 (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.real_V1485227260804924795R_real A) B))))))
% 16.70/16.93 (assume a9242 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)))))))
% 16.70/16.93 (assume a9243 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9244 (forall ((A tptp.real) (X 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) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X)) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9245 (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.real_V1485227260804924795R_real A) B)))))))
% 16.70/16.93 (assume a9246 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) 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.real_V1485227260804924795R_real A) X)) X))))))
% 16.70/16.93 (assume a9247 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X))))
% 16.70/16.93 (assume a9248 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X) (tptp.aa_complex_complex (tptp.plus_plus_complex X) X))))
% 16.70/16.93 (assume a9249 (forall ((M tptp.real) (X tptp.real) (C tptp.real) (Y tptp.real)) (=> (not (= M 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.real_V1485227260804924795R_real M) X)) C) Y) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real M)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real M)) C)))))))
% 16.70/16.93 (assume a9250 (forall ((M tptp.real) (X tptp.complex) (C tptp.complex) (Y tptp.complex)) (=> (not (= M tptp.zero_zero_real)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex M) X)) C) Y) (= X (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real M)) Y)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real M)) C)))))))
% 16.70/16.93 (assume a9251 (forall ((M tptp.real) (Y tptp.real) (X tptp.real) (C tptp.real)) (=> (not (= M tptp.zero_zero_real)) (= (= Y (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real M) X)) C)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real M)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real M)) C)) X)))))
% 16.70/16.93 (assume a9252 (forall ((M tptp.real) (Y tptp.complex) (X tptp.complex) (C tptp.complex)) (=> (not (= M tptp.zero_zero_real)) (= (= Y (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex M) X)) C)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real M)) Y)) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real M)) C)) X)))))
% 16.70/16.93 (assume a9253 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) B))) (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.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9254 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.real_V1485227260804924795R_real C) A)) B))))))
% 16.70/16.93 (assume a9255 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_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.real_V1485227260804924795R_real C) A)) B))))))
% 16.70/16.93 (assume a9256 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9257 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) B)) 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.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9258 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_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.real_V1485227260804924795R_real C) A)) B))))))
% 16.70/16.93 (assume a9259 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.real_V1485227260804924795R_real C) A)) B))))))
% 16.70/16.93 (assume a9260 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9261 (forall ((X tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vb X))))
% 16.70/16.93 (assume a9262 (forall ((X tptp.complex)) (tptp.summable_complex (tptp.aTP_Lamm_vc X))))
% 16.70/16.93 (assume a9263 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vd X)) (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.93 (assume a9264 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_ve X)) (tptp.aa_complex_complex tptp.sin_complex X)))))
% 16.70/16.93 (assume a9265 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.sin_real X2) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vd X2)))))
% 16.70/16.93 (assume a9266 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex X2) (tptp.suminf_complex (tptp.aTP_Lamm_ve X2)))))
% 16.70/16.93 (assume a9267 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vf X)) (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.93 (assume a9268 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_vg X)) (tptp.aa_complex_complex tptp.cos_complex X)))))
% 16.70/16.93 (assume a9269 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.cos_real X2) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vf X2)))))
% 16.70/16.93 (assume a9270 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex X2) (tptp.suminf_complex (tptp.aTP_Lamm_vg X2)))))
% 16.70/16.93 (assume a9271 (forall ((X tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vh X))))
% 16.70/16.93 (assume a9272 (forall ((X tptp.complex)) (tptp.summable_real (tptp.aTP_Lamm_vi X))))
% 16.70/16.93 (assume a9273 (forall ((X tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vj X))))
% 16.70/16.93 (assume a9274 (forall ((X tptp.complex)) (tptp.summable_real (tptp.aTP_Lamm_vk X))))
% 16.70/16.93 (assume a9275 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.70/16.93 (assume a9276 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) B))) 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.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9277 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9278 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.70/16.93 (assume a9279 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.70/16.93 (assume a9280 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) 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.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9281 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real C)) B))) 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.real_V1485227260804924795R_real C) A)))))))
% 16.70/16.93 (assume a9282 (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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_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.real_V1485227260804924795R_real C) A)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.70/16.93 (assume a9283 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vb X)) (tptp.aa_real_real tptp.exp_real X)))))
% 16.70/16.93 (assume a9284 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_vc X)) (tptp.aa_complex_complex tptp.exp_complex X)))))
% 16.70/16.93 (assume a9285 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.exp_real X2) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vb X2)))))
% 16.70/16.93 (assume a9286 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex X2) (tptp.suminf_complex (tptp.aTP_Lamm_vc X2)))))
% 16.70/16.93 (assume a9287 (forall ((X tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vl X))))
% 16.70/16.93 (assume a9288 (forall ((X tptp.complex)) (tptp.summable_real (tptp.aTP_Lamm_vm X))))
% 16.70/16.93 (assume a9289 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vn X)) (tptp.aa_real_real tptp.sin_real X)))))
% 16.70/16.93 (assume a9290 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_vo X)) (tptp.aa_complex_complex tptp.sin_complex X)))))
% 16.70/16.93 (assume a9291 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vp X)) (tptp.aa_real_real tptp.cos_real X)))))
% 16.70/16.93 (assume a9292 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_vq X)) (tptp.aa_complex_complex tptp.cos_complex X)))))
% 16.70/16.93 (assume a9293 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_real_complex (tptp.complex2 A) B)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9294 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) N)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_vr X) Y) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.93 (assume a9295 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) N)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_vs X) Y) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.70/16.93 (assume a9296 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vt X))))))
% 16.70/16.93 (assume a9297 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex X) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.suminf_complex (tptp.aTP_Lamm_vu X))))))
% 16.70/16.93 (assume a9298 (forall ((X tptp.real) (K tptp.nat)) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vb X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_vv X) K))))))
% 16.70/16.93 (assume a9299 (forall ((X tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex tptp.exp_complex X) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_vc X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.suminf_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_vw X) K))))))
% 16.70/16.93 (assume a9300 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vx X)) (tptp.aa_real_real tptp.sinh_real X)))))
% 16.70/16.93 (assume a9301 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_vy X)) (tptp.aa_complex_complex tptp.sinh_complex X)))))
% 16.70/16.93 (assume a9302 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vz X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9303 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_wa X)) (tptp.aa_complex_complex tptp.cosh_complex X)))))
% 16.70/16.93 (assume a9304 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))
% 16.70/16.93 (assume a9305 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi))) tptp.imaginary_unit)) tptp.one_one_complex))
% 16.70/16.93 (assume a9306 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 16.70/16.93 (assume a9307 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 16.70/16.93 (assume a9308 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9309 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sinh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 16.70/16.93 (assume a9310 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9311 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sinh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.93 (assume a9312 (= (tptp.aa_complex_complex tptp.cosh_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 16.70/16.93 (assume a9313 (= (tptp.aa_real_real tptp.cosh_real tptp.zero_zero_real) tptp.one_one_real))
% 16.70/16.93 (assume a9314 (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex tptp.imaginary_unit) tptp.one_one_real))
% 16.70/16.93 (assume a9315 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.70/16.93 (assume a9316 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N))))
% 16.70/16.93 (assume a9317 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9318 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tanh_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex X)))))
% 16.70/16.93 (assume a9319 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.exp_complex X))))
% 16.70/16.93 (assume a9320 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.exp_real X))))
% 16.70/16.93 (assume a9321 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.exp_complex X))))
% 16.70/16.93 (assume a9322 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.exp_real X))))
% 16.70/16.93 (assume a9323 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9324 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9325 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex Y))))))
% 16.70/16.93 (assume a9326 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 16.70/16.93 (assume a9327 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex Y))))))
% 16.70/16.93 (assume a9328 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 16.70/16.93 (assume a9329 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex Y))))))
% 16.70/16.93 (assume a9330 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 16.70/16.93 (assume a9331 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex Y))))))
% 16.70/16.93 (assume a9332 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 16.70/16.93 (assume a9333 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9334 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9335 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 16.70/16.93 (assume a9336 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 16.70/16.93 (assume a9337 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9338 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sinh_complex X))) (tptp.aa_complex_complex tptp.cosh_complex X)))))
% 16.70/16.93 (assume a9339 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sinh_real X))) (tptp.aa_real_real tptp.cosh_real X)))))
% 16.70/16.93 (assume a9340 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))
% 16.70/16.93 (assume a9341 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 16.70/16.93 (assume a9342 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y)))))))
% 16.70/16.93 (assume a9343 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 16.70/16.93 (assume a9344 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 16.70/16.93 (assume a9345 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 16.70/16.93 (assume a9346 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.70/16.93 (assume a9347 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 16.70/16.93 (assume a9348 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 16.70/16.93 (assume a9349 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.arcosh_real (tptp.aa_real_real tptp.cosh_real X)) X))))
% 16.70/16.93 (assume a9350 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 X) Y) tptp.imaginary_unit) (and (= X tptp.zero_zero_real) (= Y tptp.one_one_real)))))
% 16.70/16.93 (assume a9351 (= tptp.imaginary_unit (tptp.aa_real_complex (tptp.complex2 tptp.zero_zero_real) tptp.one_one_real)))
% 16.70/16.93 (assume a9352 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9353 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9354 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cosh_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cosh_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y)))))))))
% 16.70/16.93 (assume a9355 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cosh_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cosh_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tanh_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tanh_complex X)) (tptp.aa_complex_complex tptp.tanh_complex Y))) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tanh_complex X)) (tptp.aa_complex_complex tptp.tanh_complex Y)))))))))
% 16.70/16.93 (assume a9356 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sinh_real X) tptp.zero_zero_real) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real tptp.exp_real X)) (tptp.insert_real tptp.one_one_real (tptp.insert_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.bot_bot_set_real)))))))
% 16.70/16.93 (assume a9357 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex tptp.sinh_complex X) tptp.zero_zero_complex) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.insert_complex tptp.one_one_complex (tptp.insert_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex) tptp.bot_bot_set_complex)))))))
% 16.70/16.93 (assume a9358 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.cosh_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9359 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9360 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.sinh_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9361 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9362 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cosh_real X) tptp.zero_zero_real) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.70/16.93 (assume a9363 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex tptp.cosh_complex X) tptp.zero_zero_complex) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 16.70/16.93 (assume a9364 (forall ((A tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real A))) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real A))))) tptp.one_one_real)))
% 16.70/16.93 (assume a9365 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cosh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 16.70/16.93 (assume a9366 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex X) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))))))
% 16.70/16.93 (assume a9367 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9368 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sinh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_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.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 16.70/16.93 (assume a9369 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex X) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))))))
% 16.70/16.93 (assume a9370 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9371 (= (tptp.aa_complex_real tptp.arg (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.93 (assume a9372 (= (tptp.aa_complex_complex tptp.csqrt tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) tptp.imaginary_unit)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9373 (= (tptp.aa_complex_real tptp.arg tptp.imaginary_unit) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.93 (assume a9374 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)))
% 16.70/16.93 (assume a9375 (forall ((A tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex tptp.cis A)) tptp.one_one_real)))
% 16.70/16.93 (assume a9376 (forall ((Z tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z)))
% 16.70/16.93 (assume a9377 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.imaginary_unit))
% 16.70/16.93 (assume a9378 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_complex))
% 16.70/16.93 (assume a9379 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.cis A)) (tptp.aa_real_complex tptp.cis B)) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)))))
% 16.70/16.93 (assume a9380 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)))))
% 16.70/16.93 (assume a9381 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_complex_complex tptp.csqrt (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))))))
% 16.70/16.93 (assume a9382 (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)))))
% 16.70/16.93 (assume a9383 (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_wb N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.collect_complex (tptp.aTP_Lamm_bv N)))))))
% 16.70/16.93 (assume a9384 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cot_real X)) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9385 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cot_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cot_real X))))
% 16.70/16.93 (assume a9386 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arctan Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wc Y)))))
% 16.70/16.93 (assume a9387 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cot_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 16.70/16.93 (assume a9388 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.the_real tptp.aTP_Lamm_wd)))))
% 16.70/16.93 (assume a9389 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (H tptp.fun_real_real) (S tptp.set_real) (T3 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.bij_betw_real_real H (tptp.minus_minus_set_real S S5)) (tptp.minus_minus_set_real T3 T5))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G (tptp.aa_real_real H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_we H) G) S) (tptp.groups7973222482632965587d_enat G T3)))))))))
% 16.70/16.93 (assume a9390 (forall ((S5 tptp.set_real) (T5 tptp.set_int) (H tptp.fun_real_int) (S tptp.set_real) (T3 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.bij_betw_real_int H (tptp.minus_minus_set_real S S5)) (tptp.minus_minus_set_int T3 T5))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_int_Extended_enat G (tptp.aa_real_int H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun7899819850372836604d_enat (tptp.aTP_Lamm_wf H) G) S) (tptp.groups5078248829458667347d_enat G T3)))))))))
% 16.70/16.93 (assume a9391 (forall ((S5 tptp.set_int) (T5 tptp.set_real) (H tptp.fun_int_real) (S tptp.set_int) (T3 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.bij_betw_int_real H (tptp.minus_minus_set_int S S5)) (tptp.minus_minus_set_real T3 T5))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G (tptp.aa_int_real H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun222539811169670908d_enat (tptp.aTP_Lamm_wg H) G) S) (tptp.groups7973222482632965587d_enat G T3)))))))))
% 16.70/16.93 (assume a9392 (forall ((S5 tptp.set_int) (T5 tptp.set_int) (H tptp.fun_int_int) (S tptp.set_int) (T3 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.bij_betw_int_int H (tptp.minus_minus_set_int S S5)) (tptp.minus_minus_set_int T3 T5))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_int_Extended_enat G (tptp.aa_int_int H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_wh H) G) S) (tptp.groups5078248829458667347d_enat G T3)))))))))
% 16.70/16.93 (assume a9393 (forall ((S5 tptp.set_real) (T5 tptp.set_complex) (H tptp.fun_real_complex) (S tptp.set_real) (T3 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.bij_be1067425076133476306omplex H (tptp.minus_minus_set_real S S5)) (tptp.minus_811609699411566653omplex T3 T5))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G (tptp.aa_real_complex H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups7973222482632965587d_enat (tptp.aa_fun5529042928064808318d_enat (tptp.aTP_Lamm_wi H) G) S) (tptp.groups8780218893797010257d_enat G T3)))))))))
% 16.70/16.93 (assume a9394 (forall ((S5 tptp.set_int) (T5 tptp.set_complex) (H tptp.fun_int_complex) (S tptp.set_int) (T3 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.bij_betw_int_complex H (tptp.minus_minus_set_int S S5)) (tptp.minus_811609699411566653omplex T3 T5))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G (tptp.aa_int_complex H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups5078248829458667347d_enat (tptp.aa_fun129233795228691710d_enat (tptp.aTP_Lamm_wj H) G) S) (tptp.groups8780218893797010257d_enat G T3)))))))))
% 16.70/16.93 (assume a9395 (forall ((S5 tptp.set_complex) (T5 tptp.set_real) (H tptp.fun_complex_real) (S tptp.set_complex) (T3 tptp.set_real) (G tptp.fun_re6065469302365115155d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.bij_be1121013576637796946x_real H (tptp.minus_811609699411566653omplex S S5)) (tptp.minus_minus_set_real T3 T5))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_rea1194391308913012860d_enat G (tptp.aa_complex_real H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_rea1194391308913012860d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun5755666433777612538d_enat (tptp.aTP_Lamm_wk H) G) S) (tptp.groups7973222482632965587d_enat G T3)))))))))
% 16.70/16.93 (assume a9396 (forall ((S5 tptp.set_complex) (T5 tptp.set_int) (H tptp.fun_complex_int) (S tptp.set_complex) (T3 tptp.set_int) (G tptp.fun_in5914218760682845459d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.bij_betw_complex_int H (tptp.minus_811609699411566653omplex S S5)) (tptp.minus_minus_set_int T3 T5))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_int_Extended_enat G (tptp.aa_complex_int H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) T5)) (= (tptp.aa_int_Extended_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun8227683481367221114d_enat (tptp.aTP_Lamm_wl H) G) S) (tptp.groups5078248829458667347d_enat G T3)))))))))
% 16.70/16.93 (assume a9397 (forall ((S5 tptp.set_complex) (T5 tptp.set_complex) (H tptp.fun_complex_complex) (S tptp.set_complex) (T3 tptp.set_complex) (G tptp.fun_co6496365337113880337d_enat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.bij_be1856998921033663316omplex H (tptp.minus_811609699411566653omplex S S5)) (tptp.minus_811609699411566653omplex T3 T5))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) S5)) (= (tptp.aa_com3683005661447327866d_enat G (tptp.aa_complex_complex H A3)) tptp.one_on7984719198319812577d_enat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) T5)) (= (tptp.aa_com3683005661447327866d_enat G B3) tptp.one_on7984719198319812577d_enat))) (= (tptp.groups8780218893797010257d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_wm H) G) S) (tptp.groups8780218893797010257d_enat G T3)))))))))
% 16.70/16.93 (assume a9398 (forall ((S5 tptp.set_real) (T5 tptp.set_real) (H tptp.fun_real_real) (S tptp.set_real) (T3 tptp.set_real) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.bij_betw_real_real H (tptp.minus_minus_set_real S S5)) (tptp.minus_minus_set_real T3 T5))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) S5)) (= (tptp.aa_real_complex G (tptp.aa_real_real H A3)) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) T5)) (= (tptp.aa_real_complex G B3) tptp.one_one_complex))) (= (tptp.groups713298508707869441omplex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_wn H) G) S) (tptp.groups713298508707869441omplex G T3)))))))))
% 16.70/16.93 (assume a9399 (forall ((X2 tptp.real)) (= (tptp.aa_real_real tptp.cot_real X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real X2)) (tptp.aa_real_real tptp.sin_real X2)))))
% 16.70/16.93 (assume a9400 (forall ((X2 tptp.complex)) (= (tptp.aa_complex_complex tptp.cot_complex X2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cos_complex X2)) (tptp.aa_complex_complex tptp.sin_complex X2)))))
% 16.70/16.93 (assume a9401 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arccos Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wo Y)))))
% 16.70/16.93 (assume a9402 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_wp)))
% 16.70/16.93 (assume a9403 (= tptp.pi (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_wp))))
% 16.70/16.93 (assume a9404 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cot_real X)))))))
% 16.70/16.93 (assume a9405 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (tptp.aa_real_real tptp.cot_real X))))
% 16.70/16.93 (assume a9406 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arcsin Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wq Y)))))
% 16.70/16.93 (assume a9407 (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)))))))))))
% 16.70/16.93 (assume a9408 (forall ((X tptp.real) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 I2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I2))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int I2))))))))))
% 16.70/16.93 (assume a9409 (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)))))))))))))
% 16.70/16.93 (assume a9410 (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))))))
% 16.70/16.93 (assume a9411 (forall ((Xs tptp.list_real) (X6 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Xs)) X6)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real X6)) (= (tptp.groups1935376822645274424al_nat (tptp.count_list_real Xs) X6) (tptp.size_size_list_real Xs))))))
% 16.70/16.93 (assume a9412 (forall ((Xs tptp.list_nat) (X6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.93 (assume a9413 (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))))
% 16.70/16.93 (assume a9414 (= (tptp.aa_int_nat tptp.nat2 tptp.one_one_int) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.70/16.93 (assume a9415 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 16.70/16.93 (assume a9416 (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)))))
% 16.70/16.93 (assume a9417 (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))))))
% 16.70/16.93 (assume a9418 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_nat tptp.nat2 Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 16.70/16.93 (assume a9419 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) (tptp.aa_int_nat tptp.nat2 Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 16.70/16.93 (assume a9420 (forall ((X tptp.real) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real A))))))
% 16.70/16.93 (assume a9421 (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)))))
% 16.70/16.93 (assume a9422 (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)))))
% 16.70/16.93 (assume a9423 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.93 (assume a9424 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.93 (assume a9425 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 16.70/16.93 (assume a9426 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 16.70/16.93 (assume a9427 (forall ((X2 tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat X2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int X2)))))
% 16.70/16.93 (assume a9428 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 16.70/16.93 (assume a9429 (= tptp.one_one_nat (tptp.aa_int_nat tptp.nat2 tptp.one_one_int)))
% 16.70/16.93 (assume a9430 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.70/16.93 (assume a9431 (forall ((N tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))
% 16.70/16.93 (assume a9432 (forall ((Z tptp.int) (W tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 16.70/16.93 (assume a9433 (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)))))
% 16.70/16.93 (assume a9434 (forall ((X tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.70/16.93 (assume a9435 (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))))
% 16.70/16.93 (assume a9436 (forall ((L tptp.int) (K tptp.int)) (=> (not (= L tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K))) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int (tptp.modulo_modulo_int K) L)) (tptp.aa_int_int tptp.sgn_sgn_int L))))))
% 16.70/16.93 (assume a9437 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int W))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int Z))))))
% 16.70/16.93 (assume a9438 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.70/16.93 (assume a9439 (forall ((X2 tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) 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 X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.70/16.93 (assume a9440 (forall ((X2 tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X2) 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 X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.70/16.93 (assume a9441 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.70/16.93 (assume a9442 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real X)))))))
% 16.70/16.93 (assume a9443 (forall ((X2 tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X2) Xa) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.70/16.93 (assume a9444 (forall ((W tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 16.70/16.93 (assume a9445 (forall ((W tptp.int) (Z tptp.int)) (=> (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) W)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z))))))
% 16.70/16.93 (assume a9446 (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))))))
% 16.70/16.93 (assume a9447 (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)))))))
% 16.70/16.93 (assume a9448 (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))))))
% 16.70/16.93 (assume a9449 (forall ((X2 tptp.nat)) (= (tptp.aa_nat_nat tptp.suc X2) (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 X2)) tptp.one_one_int)))))
% 16.70/16.93 (assume a9450 (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)))))))
% 16.70/16.93 (assume a9451 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.divide_divide_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 16.70/16.93 (assume a9452 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.divide_divide_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 16.70/16.93 (assume a9453 (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)))))
% 16.70/16.93 (assume a9454 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_nat))))
% 16.70/16.93 (assume a9455 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 16.70/16.93 (assume a9456 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.modulo_modulo_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y)))))))
% 16.70/16.93 (assume a9457 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 16.70/16.93 (assume a9458 (forall ((X tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real A)))))))
% 16.70/16.93 (assume a9459 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_int_nat tptp.nat2 K))))))
% 16.70/16.93 (assume a9460 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 16.70/16.93 (assume a9461 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_int_nat tptp.nat2 K)) N)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 16.70/16.93 (assume a9462 (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)))))))))))))
% 16.70/16.93 (assume a9463 (forall ((L tptp.int) (K tptp.int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.modulo_modulo_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L))))))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int L)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))))))))
% 16.70/16.93 (assume a9464 (= (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))))
% 16.70/16.93 (assume a9465 (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))))))
% 16.70/16.93 (assume a9466 (forall ((W tptp.int) (M tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))))
% 16.70/16.93 (assume a9467 (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)))))))
% 16.70/16.93 (assume a9468 (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))))))
% 16.70/16.93 (assume a9469 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 16.70/16.93 (assume a9470 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_nat tptp.nat2 K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 16.70/16.93 (assume a9471 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 N)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int N))))))))))
% 16.70/16.93 (assume a9472 (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.aTP_Lamm_bv N))) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_wr C) N))))))))
% 16.70/16.93 (assume a9473 (forall ((X tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan X))))))
% 16.70/16.93 (assume a9474 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_complex))))
% 16.70/16.93 (assume a9475 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) tptp.zero_zero_real) tptp.zero_zero_real)))
% 16.70/16.93 (assume a9476 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) X) X)))
% 16.70/16.93 (assume a9477 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)) (= X Y)))))
% 16.70/16.93 (assume a9478 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root tptp.zero_zero_nat) X) tptp.zero_zero_real)))
% 16.70/16.93 (assume a9479 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9480 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sgn_sgn_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 16.70/16.93 (assume a9481 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9482 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 16.70/16.93 (assume a9483 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 16.70/16.93 (assume a9484 (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))))
% 16.70/16.93 (assume a9485 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.one_one_real) (= X tptp.one_one_real)))))
% 16.70/16.93 (assume a9486 (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))))))
% 16.70/16.93 (assume a9487 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9488 (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))))))
% 16.70/16.93 (assume a9489 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9490 (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))))))
% 16.70/16.93 (assume a9491 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 16.70/16.93 (assume a9492 (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))))))
% 16.70/16.93 (assume a9493 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 16.70/16.93 (assume a9494 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X)))))
% 16.70/16.93 (assume a9495 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real tptp.sgn_sgn_real X)))))
% 16.70/16.93 (assume a9496 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))
% 16.70/16.93 (assume a9497 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 16.70/16.93 (assume a9498 (forall ((M tptp.nat) (N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) X)))))
% 16.70/16.93 (assume a9499 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))
% 16.70/16.93 (assume a9500 (forall ((M tptp.nat) (N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) X) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 16.70/16.93 (assume a9501 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 16.70/16.93 (assume a9502 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))
% 16.70/16.93 (assume a9503 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.abs_abs_real X)))))
% 16.70/16.93 (assume a9504 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y)) N))) Y))))
% 16.70/16.93 (assume a9505 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) N)) X))))
% 16.70/16.93 (assume a9506 (forall ((P tptp.fun_real_bool) (N tptp.nat) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (forall ((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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y4)) N)) X) (tptp.pp (tptp.aa_real_bool P Y4)))))))))
% 16.70/16.93 (assume a9507 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 16.70/16.93 (assume a9508 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 16.70/16.93 (assume a9509 (forall ((N tptp.nat) (X tptp.real) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) K)))))
% 16.70/16.93 (assume a9510 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))
% 16.70/16.93 (assume a9511 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))))
% 16.70/16.93 (assume a9512 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))))
% 16.70/16.93 (assume a9513 (= tptp.sqrt (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.70/16.93 (assume a9514 (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))))))))
% 16.70/16.93 (assume a9515 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N))) (tptp.aa_real_real tptp.abs_abs_real Y)))))
% 16.70/16.93 (assume a9516 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) tptp.pi)) tptp.zero_zero_real) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) tptp.ring_1_Ints_real)))))
% 16.70/16.93 (assume a9517 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))))
% 16.70/16.93 (assume a9518 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)))))))))
% 16.70/16.93 (assume a9519 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))))
% 16.70/16.93 (assume a9520 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X)))))
% 16.70/16.93 (assume a9521 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) X))))
% 16.70/16.93 (assume a9522 (forall ((N tptp.nat) (Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N) X) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) Y)))))
% 16.70/16.93 (assume a9523 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X))))
% 16.70/16.93 (assume a9524 (forall ((N tptp.nat) (Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N) X) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) Y))))))
% 16.70/16.93 (assume a9525 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) X)))))
% 16.70/16.93 (assume a9526 (forall ((A tptp.real) (N tptp.nat) (X 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)) X) (=> (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real B)) (tptp.aa_nat_real (tptp.aa_real_fun_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))))))
% 16.70/16.93 (assume a9527 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)))))))))
% 16.70/16.93 (assume a9528 (forall ((Z tptp.complex) (X tptp.real)) (=> (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Z) (tptp.aa_real_complex tptp.cis X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (= (tptp.aa_complex_real tptp.arg Z) X))))))
% 16.70/16.93 (assume a9529 (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)))))))
% 16.70/16.93 (assume a9530 (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)))))))
% 16.70/16.93 (assume a9531 (forall ((N tptp.nat) (B tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) 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)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B) X)))))))
% 16.70/16.93 (assume a9532 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.zero_zero_real))))
% 16.70/16.93 (assume a9533 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_real))))
% 16.70/16.93 (assume a9534 (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))))))
% 16.70/16.93 (assume a9535 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 16.70/16.93 (assume a9536 (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_ws Z)))))))
% 16.70/16.93 (assume a9537 (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)))))))
% 16.70/16.93 (assume a9538 (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)))))))
% 16.70/16.93 (assume a9539 (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))))))
% 16.70/16.93 (assume a9540 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X)))))
% 16.70/16.93 (assume a9541 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 16.70/16.93 (assume a9542 (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)))))
% 16.70/16.93 (assume a9543 (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)))))
% 16.70/16.93 (assume a9544 (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)))))))))))))
% 16.70/16.93 (assume a9545 (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)))))))))
% 16.70/16.93 (assume a9546 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo4055970368930404560y_real X6) (forall ((J3 tptp.nat)) (exists ((M9 tptp.nat)) (forall ((M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) M6)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real X6 M6)) (tptp.aa_nat_real X6 N5)))) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc J3))))))))))))))
% 16.70/16.93 (assume a9547 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.93 (assume a9548 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 16.70/16.93 (assume a9549 (forall ((N tptp.nat) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N tptp.zero_zero_int) L) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L))))
% 16.70/16.93 (assume a9550 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 16.70/16.93 (assume a9551 (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)))))))
% 16.70/16.93 (assume a9552 (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))))
% 16.70/16.93 (assume a9553 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 16.70/16.93 (assume a9554 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L)) N)) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N)))))))
% 16.70/16.93 (assume a9555 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)))))
% 16.70/16.93 (assume a9556 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)))))))
% 16.70/16.93 (assume a9557 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) tptp.one_one_nat)))))
% 16.70/16.93 (assume a9558 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) tptp.one_one_nat)))))
% 16.70/16.93 (assume a9559 (forall ((M tptp.nat) (K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) K)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 16.70/16.93 (assume a9560 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.70/16.93 (assume a9561 (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)))))))
% 16.70/16.93 (assume a9562 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L)))))
% 16.70/16.93 (assume a9563 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L)))))
% 16.70/16.93 (assume a9564 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 16.70/16.93 (assume a9565 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a9566 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a9567 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a9568 (forall ((X tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.70/16.93 (assume a9569 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.fequal_bool (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.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)))))))))
% 16.70/16.93 (assume a9570 (forall ((K tptp.int) (L tptp.int)) (and (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))) (=> (not (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K))) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) L)) (=> (not (= K tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.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)))))))))))))))))
% 16.70/16.93 (assume a9571 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_am) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9572 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.size_size_VEBT_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.93 (assume a9573 (forall ((K tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) tptp.one_one_nat))))
% 16.70/16.93 (assume a9574 (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)))))
% 16.70/16.93 (assume a9575 (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)))))
% 16.70/16.93 (assume a9576 (forall ((M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc M)) (tptp.insert_nat M tptp.bot_bot_set_nat))))
% 16.70/16.93 (assume a9577 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 16.70/16.93 (assume a9578 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 16.70/16.93 (assume a9579 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 16.70/16.93 (assume a9580 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M6) N)) (tptp.pp (tptp.aa_nat_bool P M6)))) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 16.70/16.93 (assume a9581 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M6 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M6) N)) (tptp.pp (tptp.aa_nat_bool P M6)))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X3)))))))
% 16.70/16.93 (assume a9582 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat L) (tptp.aa_nat_nat tptp.suc U)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))))
% 16.70/16.93 (assume a9583 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))))))
% 16.70/16.93 (assume a9584 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) tptp.one_one_int))))
% 16.70/16.93 (assume a9585 (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) tptp.zero_zero_int))
% 16.70/16.93 (assume a9586 (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int)))
% 16.70/16.93 (assume a9587 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))
% 16.70/16.93 (assume a9588 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int))))))
% 16.70/16.93 (assume a9589 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) L)))))
% 16.70/16.93 (assume a9590 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.divide_divide_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9591 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 16.70/16.93 (assume a9592 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M)))))
% 16.70/16.93 (assume a9593 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int)))
% 16.70/16.93 (assume a9594 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int))))
% 16.70/16.93 (assume a9595 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.93 (assume a9596 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int))) N)))))
% 16.70/16.93 (assume a9597 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) N))))))
% 16.70/16.93 (assume a9598 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M))))))
% 16.70/16.93 (assume a9599 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M) N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.70/16.93 (assume a9600 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc N)) tptp.bot_bot_set_nat)))))
% 16.70/16.93 (assume a9601 (forall ((N tptp.nat)) (= (tptp.groups708209901874060359at_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 16.70/16.93 (assume a9602 (forall ((N tptp.nat)) (= (tptp.groups708209901874060359at_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 16.70/16.93 (assume a9603 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.70/16.93 (assume a9604 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M)))))
% 16.70/16.93 (assume a9605 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.93 (assume a9606 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.zero_zero_int)))
% 16.70/16.93 (assume a9607 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int))))
% 16.70/16.93 (assume a9608 (forall ((M tptp.nat) (K tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_num_nat tptp.pred_numeral K))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.insert_nat (tptp.aa_num_nat tptp.pred_numeral K) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.pred_numeral K))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_num_nat tptp.pred_numeral K)))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.bot_bot_set_nat)))))
% 16.70/16.93 (assume a9609 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.70/16.93 (assume a9610 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.70/16.93 (assume a9611 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.70/16.93 (assume a9612 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.70/16.93 (assume a9613 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 16.70/16.93 (assume a9614 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.70/16.93 (assume a9615 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.70/16.93 (assume a9616 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.70/16.93 (assume a9617 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9618 (forall ((N tptp.nat) (A tptp.fun_nat_nat) (B tptp.fun_nat_nat)) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) 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 I4)) (tptp.aa_nat_nat A J2)))))) (=> (forall ((I4 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) 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 I4)))))) (tptp.pp (tptp.aa_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_mz A) B)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat A) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat B) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))))))
% 16.70/16.93 (assume a9619 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.vEBT_size_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.70/16.93 (assume a9620 (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)))
% 16.70/16.93 (assume a9621 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 16.70/16.93 (assume a9622 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)))))
% 16.70/16.93 (assume a9623 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 16.70/16.93 (assume a9624 (forall ((Uu tptp.bool) (Uv tptp.bool) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Leaf Uu Uv)) D)) (= D tptp.one_one_nat))))
% 16.70/16.93 (assume a9625 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9626 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_dt L) Qr))))
% 16.70/16.93 (assume a9627 (forall ((V tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.numera6690914467698888265omplex V)) (tptp.aa_num_real tptp.numeral_numeral_real V))))
% 16.70/16.93 (assume a9628 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.70/16.93 (assume a9629 (forall ((Z tptp.complex) (R tptp.real)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) R))))
% 16.70/16.93 (assume a9630 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.sgn_sgn_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)))))
% 16.70/16.93 (assume a9631 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.93 (assume a9632 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.93 (assume a9633 (= (tptp.aa_complex_real tptp.re tptp.one_one_complex) tptp.one_one_real))
% 16.70/16.93 (assume a9634 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y)))))
% 16.70/16.93 (assume a9635 (forall ((R tptp.real) (X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_complex_real tptp.re X)))))
% 16.70/16.93 (assume a9636 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.93 (assume a9637 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z))))))
% 16.70/16.93 (assume a9638 (= tptp.one_one_nat tptp.one_one_nat))
% 16.70/16.93 (assume a9639 (forall ((Z tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) tptp.zero_zero_real)) (= (tptp.aa_complex_real tptp.re Z) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 16.70/16.93 (assume a9640 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 16.70/16.93 (assume a9641 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.csqrt Z) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real)) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9642 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real)) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9643 (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.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.aa_Cod1783974652533396728nteger (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.aa_Cod1783974652533396728nteger (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)))))))))
% 16.70/16.93 (assume a9644 (forall ((Z tptp.complex) (R tptp.real)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) R))))
% 16.70/16.93 (assume a9645 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.sgn_sgn_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)))))
% 16.70/16.93 (assume a9646 (forall ((X tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) N)))))
% 16.70/16.93 (assume a9647 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.70/16.93 (assume a9648 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.70/16.93 (assume a9649 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re X))) (= (tptp.aa_complex_complex tptp.csqrt X) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_complex_real tptp.re X))))))))
% 16.70/16.93 (assume a9650 (forall ((X tptp.complex)) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im X)) tptp.zero_zero_real)) (and (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re X))))) (= (tptp.aa_complex_complex tptp.csqrt (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex tptp.csqrt X))))))
% 16.70/16.93 (assume a9651 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re X)) tptp.zero_zero_real)) (= (tptp.aa_complex_complex tptp.csqrt X) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))))))))))
% 16.70/16.93 (assume a9652 (= (tptp.aa_complex_real tptp.im tptp.imaginary_unit) tptp.one_one_real))
% 16.70/16.93 (assume a9653 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))))
% 16.70/16.93 (assume a9654 (forall ((R tptp.real) (X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_complex_real tptp.im X)))))
% 16.70/16.93 (assume a9655 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 16.70/16.93 (assume a9656 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))))))
% 16.70/16.93 (assume a9657 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_real tptp.re X) (tptp.aa_complex_real tptp.re Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Y))))))))
% 16.70/16.93 (assume a9658 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) (tptp.aa_complex_real tptp.im Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Y))))))))
% 16.70/16.93 (assume a9659 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y))))))
% 16.70/16.93 (assume a9660 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y))))))
% 16.70/16.93 (assume a9661 (forall ((R tptp.real) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R) X) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_complex_real tptp.re X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_complex_real tptp.im X))))))
% 16.70/16.93 (assume a9662 (forall ((Z tptp.complex)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)))) (and (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.csqrt Z))))))))
% 16.70/16.93 (assume a9663 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Z)))))))
% 16.70/16.93 (assume a9664 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 16.70/16.93 (assume a9665 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_complex_real tptp.im Z))))))
% 16.70/16.93 (assume a9666 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_complex_real tptp.im Z))))))
% 16.70/16.93 (assume a9667 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y)))))))
% 16.70/16.93 (assume a9668 (forall ((Z tptp.complex)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9669 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re X))) (tptp.aa_complex_real tptp.im X)))))
% 16.70/16.93 (assume a9670 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9671 (forall ((Z tptp.complex)) (= (= Z tptp.zero_zero_complex) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))))
% 16.70/16.93 (assume a9672 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9673 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9674 (forall ((Z tptp.complex)) (= (not (= Z tptp.zero_zero_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9675 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9676 (forall ((B tptp.complex)) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re B))) (and (= (tptp.aa_complex_real tptp.re 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_complex_real tptp.im B))))) (= (tptp.aa_complex_complex tptp.csqrt (tptp.aa_nat_complex (tptp.power_power_complex B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) B))))
% 16.70/16.93 (assume a9677 (forall ((W tptp.complex) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re W))) (and (= (tptp.aa_complex_real tptp.re W) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im W))))) (= (tptp.aa_complex_complex tptp.csqrt Z) W)))))
% 16.70/16.93 (assume a9678 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9679 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9680 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 16.70/16.93 (assume a9681 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 16.70/16.93 (assume a9682 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9683 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9684 (forall ((R tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.re R))) (tptp.aa_complex_real tptp.im Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9685 (forall ((R tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re R)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9686 (forall ((R tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) R)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.re R))))))
% 16.70/16.93 (assume a9687 (forall ((R tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) R)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.re R))))))
% 16.70/16.93 (assume a9688 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9689 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger K) tptp.one_one_Code_integer)) (= (tptp.code_num_of_integer K) tptp.one)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger K) tptp.one_one_Code_integer))) (= (tptp.code_num_of_integer K) (tptp.produc7336495610019696514er_num tptp.aTP_Lamm_wt (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9690 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))))))))
% 16.70/16.93 (assume a9691 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9692 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))))))))
% 16.70/16.93 (assume a9693 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9694 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))))))))
% 16.70/16.93 (assume a9695 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9696 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))))))))
% 16.70/16.93 (assume a9697 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9698 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a9699 (forall ((A tptp.complex) (B tptp.complex)) (and (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B)))))))))
% 16.70/16.93 (assume a9700 (forall ((Z tptp.complex)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)))))
% 16.70/16.93 (assume a9701 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re Z))))))
% 16.70/16.93 (assume a9702 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.im Z)))) tptp.imaginary_unit))))
% 16.70/16.93 (assume a9703 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9704 (forall ((Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cnj Z)) W)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))))))))
% 16.70/16.93 (assume a9705 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_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.ord_le3102999989581377725nteger K) tptp.zero_z3403309356797280102nteger))) (= (tptp.code_nat_of_integer K) (tptp.produc1555791787009142072er_nat tptp.aTP_Lamm_wu (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9706 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_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.uminus1351360451143612070nteger K))))) (=> (not (tptp.pp (tptp.aa_Code_integer_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_wv (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.70/16.93 (assume a9707 (forall ((N tptp.nat)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bq N))) N)))
% 16.70/16.93 (assume a9708 (forall ((U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U)) (tptp.aa_nat_nat tptp.suc U))))
% 16.70/16.93 (assume a9709 (forall ((N tptp.nat)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bp N))) (tptp.aa_nat_nat tptp.suc N))))
% 16.70/16.93 (assume a9710 (forall ((K tptp.code_integer)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.code_nat_of_integer K)) (tptp.ord_max_Code_integer tptp.zero_z3403309356797280102nteger K))))
% 16.70/16.93 (assume a9711 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.ord_max_Code_integer K L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.code_int_of_integer K)) (tptp.code_int_of_integer L)))))
% 16.70/16.93 (assume a9712 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc U)) L))))
% 16.70/16.93 (assume a9713 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7))) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ww M7) I2))) (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_wx M7) I2)))))))
% 16.70/16.93 (assume a9714 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7)) (= (tptp.aa_nat_nat tptp.suc (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ww M7) I2)))) (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_wx M7) I2)))))))
% 16.70/16.93 (assume a9715 (forall ((M7 tptp.set_nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7)) (not (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_wx M7) I2))) tptp.zero_zero_nat)))))
% 16.70/16.93 (assume a9716 (forall ((A2 tptp.set_nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A2) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A2))))) (= A2 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A2)))))))
% 16.70/16.93 (assume a9717 (forall ((K tptp.num)) (= (tptp.code_nat_of_integer (tptp.numera6620942414471956472nteger K)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))))
% 16.70/16.93 (assume a9718 (= (tptp.code_nat_of_integer tptp.one_one_Code_integer) tptp.one_one_nat))
% 16.70/16.93 (assume a9719 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat N2) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.finite_card_nat N2)) N)))))
% 16.70/16.93 (assume a9720 (forall ((S 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_am) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.finite_card_nat S)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_am) S)))))
% 16.70/16.93 (assume a9721 (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_wr C) N))) N)))))
% 16.70/16.93 (assume a9722 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.finite_card_complex (tptp.collect_complex (tptp.aTP_Lamm_bv N))) N))))
% 16.70/16.93 (assume a9723 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) (tptp.the_int (tptp.aTP_Lamm_wy X)))))
% 16.70/16.93 (assume a9724 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K)))))))
% 16.70/16.93 (assume a9725 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 16.70/16.93 (assume a9726 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 16.70/16.93 (assume a9727 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.70/16.93 (assume a9728 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 16.70/16.93 (assume a9729 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 16.70/16.93 (assume a9730 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K)))))))
% 16.70/16.93 (assume a9731 (forall ((Nat tptp.nat)) (= (= Nat tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fTrue tptp.aTP_Lamm_wz) Nat)))))
% 16.70/16.93 (assume a9732 (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_xa) Nat)))))
% 16.70/16.93 (assume a9733 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int M) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) K)))))
% 16.70/16.93 (assume a9734 (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)))))
% 16.70/16.93 (assume a9735 (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_xb N)) M))))
% 16.70/16.93 (assume a9736 (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_xc N)) M))))
% 16.70/16.93 (assume a9737 (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_am) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))
% 16.70/16.93 (assume a9738 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K) (tptp.aa_int_int (tptp.divide_divide_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a9739 (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)))))
% 16.70/16.93 (assume a9740 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K)))))
% 16.70/16.93 (assume a9741 (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_am) Nat))))
% 16.70/16.93 (assume a9742 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.70/16.93 (assume a9743 (forall ((K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_Pro4243173770044397973at_nat tptp.product_snd_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K)))))
% 16.70/16.93 (assume a9744 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.nat_prod_decode_aux X Xa2) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X)) (= 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 X) Xa2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X))) (= Y (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa2) (tptp.aa_nat_nat tptp.suc X)))))))))
% 16.70/16.93 (assume a9745 (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))))))))
% 16.70/16.93 (assume a9746 (forall ((K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_Pro4243173770044397973at_nat tptp.product_fst_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K)))))
% 16.70/16.93 (assume a9747 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) X)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Leaf A3 B3))))))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)) (=> (= Y (tptp.some_nat Ma2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))))))))))))))
% 16.70/16.93 (assume a9748 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) X)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Leaf A3 B3))))))) (=> (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)) (=> (= Y (tptp.some_nat Mi2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))))))))))))))
% 16.70/16.93 (assume a9749 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat tptp.product_fst_nat_nat (tptp.divmod_nat M N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))))
% 16.70/16.93 (assume a9750 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N)))))))
% 16.70/16.93 (assume a9751 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.70/16.93 (assume a9752 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X Xa2) Y) (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Xa2)))))))))))
% 16.70/16.93 (assume a9753 (forall ((Y tptp.nat) (X tptp.nat)) (and (=> (= Y tptp.zero_zero_nat) (= (tptp.bezw X Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.bezw X Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Y))))))))))
% 16.70/16.93 (assume a9754 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Y)) (= (tptp.bezw X Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Y)))))))))
% 16.70/16.93 (assume a9755 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X Xa2) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa2))) (not (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa2)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Xa2)))))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa2))))))))))
% 16.70/16.93 (assume a9756 (forall ((X tptp.vEBT_VEBT) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X)) (tptp.pp Y)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X)) (=> (=> (= X (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (=> (tptp.pp Y) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))))) (=> (forall ((Uv2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf tptp.fTrue Uv2)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fTrue Uv2))))))) (=> (forall ((Uu2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu2 tptp.fTrue)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf Uu2 tptp.fTrue))))))) (=> (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2)) (=> (tptp.pp Y) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2))))))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va3 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2))))))))))))))))
% 16.70/16.93 (assume a9757 (forall ((X tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X))) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X)) (=> (forall ((Uv2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf tptp.fTrue Uv2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fTrue Uv2)))))) (=> (forall ((Uu2 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu2 tptp.fTrue)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (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)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va3 Vb2 Vc2)))))))))))))
% 16.70/16.93 (assume a9758 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X)) (=> (=> (= X (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))))) (not (forall ((Uw2 tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux2 Uy2))))))))))))
% 16.70/16.93 (assume a9759 (forall ((X tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.nat_prod_decode_aux X Xa2) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa2))) (not (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X)) (= 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 X) Xa2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X))) (= Y (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa2) (tptp.aa_nat_nat tptp.suc X)))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa2))))))))))
% 16.70/16.93 (assume a9760 (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_xd K) (tptp.code_divmod_abs K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.70/16.93 (assume a9761 (forall ((K tptp.code_integer)) (= (tptp.code_bit_cut_integer K) (tptp.produc5135875973608410785r_bool (tptp.divide6298287555418463151nteger K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 16.70/16.93 (assume a9762 (forall ((N tptp.nat) (P tptp.fun_nat_bool) (M tptp.nat)) (=> (forall ((K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K2)) (tptp.pp (tptp.aa_nat_bool P K2)))) (=> (forall ((K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (=> (forall ((I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) I)) (tptp.pp (tptp.aa_nat_bool P I)))) (tptp.pp (tptp.aa_nat_bool P K2))))) (tptp.pp (tptp.aa_nat_bool P M))))))
% 16.70/16.93 (assume a9763 (forall ((S tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S))) (forall ((M6 tptp.nat)) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) N5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N5) S))))))))
% 16.70/16.93 (assume a9764 (forall ((K tptp.nat) (S tptp.set_nat)) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) M5)) (exists ((N8 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N8)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N8) S)))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S))))))
% 16.70/16.93 (assume a9765 (forall ((S tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S))) (forall ((M6 tptp.nat)) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M6) N5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N5) S))))))))
% 16.70/16.93 (assume a9766 (forall ((S tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (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.finite_card_nat S)))) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N8) (tptp.finite_card_nat S))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat R3 N8)) S)))))))))
% 16.70/16.93 (assume a9767 (forall ((K tptp.int) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one))))))
% 16.70/16.93 (assume a9768 (forall ((N tptp.num) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one)) K)))))
% 16.70/16.93 (assume a9769 (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)))))
% 16.70/16.93 (assume a9770 (forall ((N tptp.nat)) (= (tptp.compow_fun_nat_nat N tptp.suc) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N))))
% 16.70/16.93 (assume a9771 (tptp.semila1623282765462674594er_nat tptp.ord_max_nat tptp.zero_zero_nat tptp.aTP_Lamm_bp tptp.aTP_Lamm_bq))
% 16.70/16.93 (assume a9772 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_xf) Xa2) X)))))
% 16.70/16.93 (assume a9773 (forall ((Z tptp.int)) (not (forall ((X4 tptp.nat) (Y3 tptp.nat)) (not (= Z (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y3))))))))
% 16.70/16.93 (assume a9774 (= 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))))
% 16.70/16.93 (assume a9775 (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)))))
% 16.70/16.93 (assume a9776 (forall ((X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_xg) X)))))
% 16.70/16.93 (assume a9777 (= 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))))
% 16.70/16.93 (assume a9778 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_xi) Xa2) X)))))
% 16.70/16.93 (assume a9779 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_xk) Xa2) X)))))
% 16.70/16.93 (assume a9780 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_xm) Xa2) X)))))
% 16.70/16.93 (assume a9781 (forall ((Xa2 tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_xo) Xa2) X)))))
% 16.70/16.93 (assume a9782 (forall ((X tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_xk) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 16.70/16.93 (assume a9783 (forall ((X tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_xi) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 16.70/16.93 (assume a9784 (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)))))
% 16.70/16.93 (assume a9785 (forall ((Q2 tptp.num)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) Q2)))
% 16.70/16.93 (assume a9786 (= (tptp.aa_nat_num tptp.num_of_nat tptp.zero_zero_nat) tptp.one))
% 16.70/16.93 (assume a9787 (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))))
% 16.70/16.93 (assume a9788 (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))))
% 16.70/16.93 (assume a9789 (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))))))
% 16.70/16.93 (assume a9790 (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.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_nat_num tptp.num_of_nat M)) (tptp.aa_nat_num tptp.num_of_nat N)))))))
% 16.70/16.93 (assume a9791 (= tptp.uminus_uminus_int (tptp.aa_fun8399641135911395862nt_int (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_xg))))
% 16.70/16.93 (assume a9792 (= 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_xf))))
% 16.70/16.93 (assume a9793 (= 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_xo))))
% 16.70/16.93 (assume a9794 (= 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_xm))))
% 16.70/16.93 (assume a9795 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X) (tptp.aa_num_num tptp.bit1 Y)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X) Y))) X))))
% 16.70/16.93 (assume a9796 (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))))))
% 16.70/16.93 (assume a9797 (= (tptp.aa_num_num tptp.sqr tptp.one) tptp.one))
% 16.70/16.93 (assume a9798 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.sqr X) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num X) X))))
% 16.70/16.93 (assume a9799 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X) (tptp.aa_num_num tptp.bit0 Y)) (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X) Y)))))
% 16.70/16.93 (assume a9800 (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.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.sqr N)) N))))))
% 16.70/16.93 (assume a9801 (= (tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.93 (assume a9802 (forall ((C tptp.nat) (Y tptp.nat) (X tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xp C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Y) C)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xp C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xp C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) tptp.bot_bot_set_nat)))))))
% 16.70/16.93 (assume a9803 (forall ((M7 tptp.set_nat) (N2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.bij_betw_nat_nat tptp.suc M7) N2)) (= (tptp.image_nat_nat tptp.suc M7) N2))))
% 16.70/16.93 (assume a9804 (forall ((I2 tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I2) J)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc I2)) (tptp.aa_nat_nat tptp.suc J)))))
% 16.70/16.93 (assume a9805 (forall ((I2 tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I2) J)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc I2)) (tptp.aa_nat_nat tptp.suc J)))))
% 16.70/16.93 (assume a9806 (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))))))
% 16.70/16.93 (assume a9807 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))
% 16.70/16.93 (assume a9808 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N)))))
% 16.70/16.93 (assume a9809 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))))))
% 16.70/16.93 (assume a9810 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))))))
% 16.70/16.93 (assume a9811 (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))))))
% 16.70/16.93 (assume a9812 (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))))))
% 16.70/16.93 (assume a9813 (= (tptp.code_integer_of_num tptp.one) tptp.one_one_Code_integer))
% 16.70/16.93 (assume a9814 (forall ((N tptp.num)) (= (tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p5714425477246183910nteger (tptp.code_integer_of_num N) (tptp.code_integer_of_num N)))))
% 16.70/16.93 (assume a9815 (forall ((X6 tptp.set_real)) (= (tptp.comple4887499456419720421f_real X6) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.comple1385675409528146559p_real (tptp.image_real_real tptp.uminus_uminus_real X6))))))
% 16.70/16.93 (assume a9816 (forall ((X6 tptp.fun_nat_real)) (=> (tptp.summable_real X6) (=> (forall ((I4 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 X6 I4)))) (= (tptp.suminf_real X6) (tptp.comple1385675409528146559p_real (tptp.image_nat_real (tptp.aTP_Lamm_xq X6) tptp.top_top_set_nat)))))))
% 16.70/16.93 (assume a9817 (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_xr N) tptp.top_top_set_nat) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))
% 16.70/16.93 (assume a9818 (= tptp.top_top_set_nat (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat))))
% 16.70/16.93 (assume a9819 (= (tptp.finite410649719033368117t_unit tptp.top_to1996260823553986621t_unit) tptp.one_one_nat))
% 16.70/16.93 (assume a9820 (= (tptp.finite_card_bool tptp.top_top_set_bool) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.70/16.93 (assume a9821 (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)))))
% 16.70/16.93 (assume a9822 (forall ((N tptp.nat) (X tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.the_in5290026491893676941l_real tptp.top_top_set_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xs N)) X))))))
% 16.70/16.93 (assume a9823 (= (tptp.finite_card_char tptp.top_top_set_char) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.70/16.93 (assume a9824 (= tptp.top_top_set_char (tptp.image_nat_char tptp.unique3096191561947761185of_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.70/16.93 (assume a9825 (forall ((X1 tptp.bool) (X22 tptp.bool) (X32 tptp.bool) (X42 tptp.bool) (X52 tptp.bool) (X62 tptp.bool) (X7 tptp.bool) (X8 tptp.bool)) (= (tptp.size_size_char (tptp.char2 X1 X22 X32 X42 X52 X62 X7 X8)) tptp.zero_zero_nat)))
% 16.70/16.93 (assume a9826 (forall ((C tptp.char)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.70/16.93 (assume a9827 (= (tptp.image_char_nat tptp.comm_s629917340098488124ar_nat tptp.top_top_set_char) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.70/16.93 (assume a9828 (forall ((B0 tptp.bool) (B1 tptp.bool) (B22 tptp.bool) (B32 tptp.bool) (B42 tptp.bool) (B52 tptp.bool) (B62 tptp.bool) (B72 tptp.bool)) (= (tptp.integer_of_char (tptp.char2 B0 B1 B22 B32 B42 B52 B62 B72)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger B72)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B62))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B52))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B42))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B32))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B22))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B1))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B0)))))
% 16.70/16.93 (assume a9829 (forall ((C tptp.char)) (= (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat (tptp.ascii_of C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)))))
% 16.70/16.93 (assume a9830 (forall ((N tptp.nat) (X tptp.real) (D4 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= D4 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= D4 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))) (=> (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= D4 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) D4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))
% 16.70/16.93 (assume a9831 (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)))))
% 16.70/16.93 (assume a9832 (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)))))
% 16.70/16.93 (assume a9833 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3)) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))))))))))))))
% 16.70/16.93 (assume a9834 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3)) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))) (tptp.aa_real_real F X)))))))))))))
% 16.70/16.93 (assume a9835 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3)) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))))))))))))))
% 16.70/16.93 (assume a9836 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3)) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))) (tptp.aa_real_real F X)))))))))))))
% 16.70/16.93 (assume a9837 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X4 tptp.real)) (tptp.has_fi5821293074295781190e_real F K (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B)) (tptp.aa_real_real F A))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) A)) K)))))
% 16.70/16.93 (assume a9838 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X4 tptp.real)) (tptp.has_fi5821293074295781190e_real F K (tptp.topolo2177554685111907308n_real X4 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)) K))))))
% 16.70/16.93 (assume a9839 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3)))))))))))))
% 16.70/16.93 (assume a9840 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))) (tptp.aa_real_real F X))))))))))))
% 16.70/16.93 (assume a9841 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3)))))))))))))
% 16.70/16.93 (assume a9842 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))) (tptp.aa_real_real F X))))))))))))
% 16.70/16.93 (assume a9843 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) 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)))))))
% 16.70/16.93 (assume a9844 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (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) Y2))))))) (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)))))))
% 16.70/16.93 (assume a9845 (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_eq_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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) tptp.zero_zero_real))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F B)) (tptp.aa_real_real F A)))))))
% 16.70/16.93 (assume a9846 (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_eq_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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y2))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F A)) (tptp.aa_real_real F B)))))))
% 16.70/16.93 (assume a9847 (forall ((A tptp.real) (B tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1222579329274155063t_real A B))) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real G2 X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1222579329274155063t_real A B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real G2 X4))))) (=> (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 G A)) (tptp.aa_real_real G B))))))))
% 16.70/16.93 (assume a9848 (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 ((Z3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) 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 Z3)))))))))
% 16.70/16.93 (assume a9849 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (= (tptp.aa_real_real F X) (tptp.aa_real_real F Y3)))) (= L tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9850 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9851 (forall ((A tptp.real) (B tptp.real) (V tptp.fun_real_real) (K tptp.real)) (=> (not (= A B)) (=> (forall ((X4 tptp.real)) (tptp.has_fi5821293074295781190e_real V K (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (= (tptp.aa_real_real V (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real V A)) (tptp.aa_real_real V B))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9852 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F Y3)) (tptp.aa_real_real F X))))) (= L tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9853 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X)) (tptp.aa_real_real F Y3))))) (= L tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9854 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9855 (forall ((N tptp.nat) (X tptp.real) (S3 tptp.set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xt N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.topolo2177554685111907308n_real X S3))))
% 16.70/16.93 (assume a9856 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (N tptp.nat)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_xu G) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real G X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))) M) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9857 (forall ((Z tptp.real) (R 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_xv R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real Z tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9858 (forall ((X tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real tptp.log 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)) X)) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9859 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (R tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real G X))) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_xw G) R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real G X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat))))) M) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 16.70/16.93 (assume a9860 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (F tptp.fun_real_real) (R tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real G X))) (=> (tptp.has_fi5821293074295781190e_real F R (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_xx G) F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real G X)) (tptp.aa_real_real F X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real G X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real M) (tptp.aa_real_real F X))) (tptp.aa_real_real G X)))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 16.70/16.93 (assume a9861 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9862 (forall ((X tptp.real)) (tptp.has_fi5821293074295781190e_real tptp.arctan (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))
% 16.70/16.93 (assume a9863 (forall ((X tptp.real) (A2 tptp.set_real)) (tptp.has_fi5821293074295781190e_real tptp.arsinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X A2))))
% 16.70/16.93 (assume a9864 (forall ((X tptp.real) (D4 tptp.real)) (=> (not (= X tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= D4 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= D4 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.has_fi5821293074295781190e_real tptp.sqrt D4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 16.70/16.93 (assume a9865 (forall ((X tptp.real) (A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.has_fi5821293074295781190e_real tptp.arcosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X A2)))))
% 16.70/16.93 (assume a9866 (forall ((X 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 X)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.artanh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X A2)))))
% 16.70/16.93 (assume a9867 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 16.70/16.93 (assume a9868 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arccos (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 16.70/16.93 (assume a9869 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arcsin (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 16.70/16.93 (assume a9870 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xy Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.93 (assume a9871 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X tptp.real) (N tptp.nat)) (=> (and (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (forall ((M5 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)))) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xy Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))))
% 16.70/16.93 (assume a9872 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (not (= X tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 16.70/16.93 (assume a9873 (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 ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ky 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) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N))))))))))))
% 16.70/16.93 (assume a9874 (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 ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ky 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) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N)))))))))))
% 16.70/16.93 (assume a9875 (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 ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) tptp.zero_zero_real))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 tptp.top_top_set_real)))) (exists ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) tptp.zero_zero_real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ky 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) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N))))))))))))
% 16.70/16.93 (assume a9876 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X tptp.zero_zero_real)) (=> (forall ((M5 tptp.nat) (X4 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) X4) (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real))) (exists ((T4 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 T4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xy Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))))
% 16.70/16.93 (assume a9877 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T4)) (tptp.aa_real_real tptp.abs_abs_real X)))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 tptp.top_top_set_real)))) (exists ((T4 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 T4)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xy Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 16.70/16.93 (assume a9878 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B tptp.real) (C tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 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) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) B)) (=> (not (= X C)) (exists ((T4 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) C)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) C))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) X)))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xz Diff) C) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) C)) N))))))))))))))))
% 16.70/16.93 (assume a9879 (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 ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 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 ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) B)) (= (tptp.aa_real_real F B) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_ya 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) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B) C)) N)))))))))))))
% 16.70/16.93 (assume a9880 (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 ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 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 ((T4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T4) C)) (= (tptp.aa_real_real F A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_ya 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) T4)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) N)))))))))))))
% 16.70/16.93 (assume a9881 (forall ((N tptp.nat) (H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (K tptp.nat) (B2 tptp.real)) (=> (forall ((M5 tptp.nat) (T4 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T4) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M5) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T4) (tptp.topolo2177554685111907308n_real T4 tptp.top_top_set_real)))) (=> (= N (tptp.aa_nat_nat tptp.suc K)) (forall ((M2 tptp.nat) (T6 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) 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 (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_yc 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)) T6)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_yd Diff) M2) T6) (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.aa_real_fun_nat_real tptp.power_power_real T6) (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 T6 tptp.top_top_set_real))))))))
% 16.70/16.93 (assume a9882 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.aTP_Lamm_ye (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yf X)) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 16.70/16.93 (assume a9883 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 16.70/16.93 (assume a9884 (forall ((R2 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 R2) R2))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yg 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 R2) R2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_yi F) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yg F) X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real)))))))
% 16.70/16.93 (assume a9885 (forall ((X tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real)))))
% 16.70/16.93 (assume a9886 (forall ((A tptp.real) (B tptp.real) (X tptp.real) (Y tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (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 X) (tptp.aa_real_real F Y))))))))
% 16.70/16.93 (assume a9887 (forall ((F tptp.fun_re4238438383274954274t_real) (F5 tptp.fun_re4238438383274954274t_real) (X0 tptp.real) (A tptp.real) (B tptp.real) (L4 tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_yj F) N3) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F5 X0) N3) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real))) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1633881224788618240n_real A B))) (tptp.summable_real (tptp.aa_real_fun_nat_real F X4)))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X0) (tptp.set_or1633881224788618240n_real A B))) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real F5 X0)) (=> (tptp.summable_real L4) (=> (forall ((N3 tptp.nat) (X4 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1633881224788618240n_real A B))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) (tptp.set_or1633881224788618240n_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 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F X4) N3)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F Y3) N3)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real L4 N3)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) Y3)))))))) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_yk F) (tptp.suminf_real (tptp.aa_real_fun_nat_real F5 X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real))))))))))
% 16.70/16.93 (assume a9888 (forall ((J tptp.int) (I2 tptp.int) (Js tptp.list_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I2)) (= (tptp.upto_aux I2 J Js) Js)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I2))) (= (tptp.upto_aux I2 J Js) (tptp.upto_aux I2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int) (tptp.cons_int J Js)))))))
% 16.70/16.93 (assume a9889 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) (tptp.aa_nat_nat tptp.suc L)))))
% 16.70/16.93 (assume a9890 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U))))
% 16.70/16.93 (assume a9891 (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_eq_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))) (exists ((L5 tptp.real) (M8 tptp.real)) (and (forall ((X2 tptp.real)) (=> (and (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))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L5) (tptp.aa_real_real F X2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X2)) M8))))) (forall ((Y2 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L5) Y2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y2) M8))) (exists ((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.aa_real_real F X4) Y2)))))))))))
% 16.70/16.93 (assume a9892 (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 ((X2 tptp.real)) (=> (and (not (= X2 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) X2))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F X2)))))))))))
% 16.70/16.93 (assume a9893 (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 ((X2 tptp.real)) (=> (and (not (= X2 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) X2))) R3))) (not (= (tptp.aa_real_real F X2) tptp.zero_zero_real))))))))))
% 16.70/16.93 (assume a9894 (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 ((X2 tptp.real)) (=> (and (not (= X2 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) X2))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X2)) tptp.zero_zero_real))))))))))
% 16.70/16.93 (assume a9895 (forall ((X tptp.real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.sqrt)))
% 16.70/16.93 (assume a9896 (forall ((X tptp.real) (N tptp.nat)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) (tptp.aa_nat_fun_real_real tptp.root N))))
% 16.70/16.93 (assume a9897 (forall ((A tptp.real) (X 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) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B)) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z3) B)) (= (tptp.aa_real_real G (tptp.aa_real_real F Z3)) Z3)))) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z3) B)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real) F)))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real F X) tptp.top_top_set_real) G)))))))
% 16.70/16.93 (assume a9898 (forall ((I2 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 I2)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I2) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I2) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat (tptp.aa_nat_nat tptp.suc I2)) J)))))))
% 16.70/16.93 (assume a9899 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arcosh_real))))
% 16.70/16.93 (assume a9900 (tptp.filterlim_real_real tptp.aTP_Lamm_yl (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.top_top_set_real)))
% 16.70/16.93 (assume a9901 (forall ((N tptp.nat) (J tptp.nat) (I2 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 I2)))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I2) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) N))))))
% 16.70/16.93 (assume a9902 (forall ((F tptp.fun_real_real) (D4 tptp.real) (G tptp.fun_real_real) (X tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F D4 (tptp.topolo2177554685111907308n_real (tptp.aa_real_real G X) tptp.top_top_set_real)) (=> (not (= D4 tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Y3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) B)) (= (tptp.aa_real_real F (tptp.aa_real_real G Y3)) Y3)))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) G) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real tptp.inverse_inverse_real D4) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))))))
% 16.70/16.93 (assume a9903 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arccos)))))
% 16.70/16.93 (assume a9904 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arcsin)))))
% 16.70/16.93 (assume a9905 (forall ((B tptp.real) (X tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) X)) (=> (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_or1633881224788618240n_real B X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X4))))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) F) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X))))))))
% 16.70/16.93 (assume a9906 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.artanh_real)))))
% 16.70/16.93 (assume a9907 (forall ((D tptp.real) (X tptp.real) (G tptp.fun_real_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Z3 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 Z3) X))) D)) (= (tptp.aa_real_real G (tptp.aa_real_real F Z3)) Z3))) (=> (forall ((Z3 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 Z3) X))) D)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real) F))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real F X) tptp.top_top_set_real) G))))))
% 16.70/16.93 (assume a9908 (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 ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z3) B)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real) F)))) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z3) B)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real) G)))) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) B)) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real G2 Z3) (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real))))) (=> (forall ((Z3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) B)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F5 Z3) (tptp.topolo2177554685111907308n_real Z3 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))))))))))))
% 16.70/16.93 (assume a9909 (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 ((N8 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8)) tptp.one_one_nat))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8))))))))))))
% 16.70/16.93 (assume a9910 (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 ((N8 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8)) tptp.one_one_nat))))))))))))
% 16.70/16.93 (assume a9911 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))))))))))
% 16.70/16.93 (assume a9912 (tptp.filterlim_nat_nat tptp.suc tptp.at_top_nat tptp.at_top_nat))
% 16.70/16.93 (assume a9913 (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_ah C) tptp.at_top_nat tptp.at_top_nat))))
% 16.70/16.93 (assume a9914 (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))))
% 16.70/16.93 (assume a9915 (forall ((X6 tptp.fun_nat_real) (B2 tptp.real)) (=> (tptp.topolo6980174941875973593q_real X6) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real X6 I4))) B2))) (not (forall ((L5 tptp.real)) (not (tptp.filterlim_nat_real X6 (tptp.topolo2815343760600316023s_real L5) tptp.at_top_nat))))))))
% 16.70/16.93 (assume a9916 (tptp.filterlim_nat_real tptp.aTP_Lamm_yn (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat))
% 16.70/16.93 (assume a9917 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real G N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real G N3)))) (=> (tptp.filterlim_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_yo F) G) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L3 tptp.real)) (and (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N8)) L3))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) (tptp.aa_nat_real G N8)))) (tptp.filterlim_nat_real G (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat)))))))))
% 16.70/16.93 (assume a9918 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((R3 tptp.real)) (exists ((N6 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R3) (tptp.aa_nat_real X6 N3))))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yp X6) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9919 (tptp.filterlim_nat_real tptp.aTP_Lamm_yq (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))
% 16.70/16.93 (assume a9920 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yr C) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9921 (tptp.filterlim_nat_real tptp.aTP_Lamm_ys (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))
% 16.70/16.93 (assume a9922 (forall ((R tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yt R) (tptp.topolo2815343760600316023s_real R) tptp.at_top_nat)))
% 16.70/16.93 (assume a9923 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) L))) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((N8 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 N8)) E2)))))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L) tptp.at_top_nat))))))
% 16.70/16.93 (assume a9924 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 16.70/16.93 (assume a9925 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yu X) A) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9926 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real C)) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9927 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9928 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yv X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9929 (forall ((R tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yw R) (tptp.topolo2815343760600316023s_real R) tptp.at_top_nat)))
% 16.70/16.93 (assume a9930 (forall ((X tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yx X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) tptp.at_top_nat)))
% 16.70/16.93 (assume a9931 (forall ((R tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yy R) (tptp.topolo2815343760600316023s_real R) tptp.at_top_nat)))
% 16.70/16.93 (assume a9932 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.summable_real (tptp.aTP_Lamm_ym A))))))
% 16.70/16.93 (assume a9933 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.summable_real (tptp.aTP_Lamm_ym A)))))))
% 16.70/16.93 (assume a9934 (forall ((Theta tptp.fun_nat_real) (Theta2 tptp.real)) (=> (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yz Theta) Theta2) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (not (forall ((K2 tptp.fun_nat_int)) (not (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_za Theta) K2) (tptp.topolo2815343760600316023s_real Theta2) tptp.at_top_nat)))))))
% 16.70/16.93 (assume a9935 (forall ((Theta tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real (tptp.aTP_Lamm_zb Theta) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (exists ((K2 tptp.fun_nat_int)) (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_za Theta) K2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 16.70/16.93 (assume a9936 (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_zc A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) tptp.at_top_nat)))))
% 16.70/16.93 (assume a9937 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ek X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.70/16.93 (assume a9938 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.suminf_real (tptp.aTP_Lamm_ym A)))))))))
% 16.70/16.93 (assume a9939 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_zc A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) tptp.at_top_nat))))))
% 16.70/16.93 (assume a9940 (forall ((A tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L3 tptp.real)) (and (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8)))) L3))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_zc A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))) N8)) tptp.one_one_nat)))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_zd A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat))))))))
% 16.70/16.93 (assume a9941 (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_zd A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) tptp.at_top_nat)))))
% 16.70/16.93 (assume a9942 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_zd A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_ym A))) tptp.at_top_nat))))))
% 16.70/16.93 (assume a9943 (forall ((F tptp.fun_real_real)) (= (tptp.real_V5970128139526366754l_real F) (exists ((C2 tptp.real)) (forall ((X3 tptp.real)) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X3) C2)))))))
% 16.70/16.93 (assume a9944 (forall ((X tptp.real)) (tptp.filterlim_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ze X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 16.70/16.93 (assume a9945 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.at_bot_real))
% 16.70/16.93 (assume a9946 (tptp.filterlim_real_real tptp.artanh_real tptp.at_bot_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.70/16.93 (assume a9947 (tptp.filterlim_real_real tptp.tan_real tptp.at_bot_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a9948 (tptp.filterlim_real_real tptp.tanh_real (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.at_bot_real))
% 16.70/16.93 (assume a9949 (tptp.filterlim_real_real tptp.arcosh_real (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.one_one_real (tptp.set_or5849166863359141190n_real tptp.one_one_real))))
% 16.70/16.93 (assume a9950 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (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) Y2)))))) (=> (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)))))))
% 16.70/16.93 (assume a9951 (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_zf N) F) tptp.at_bot_real F3))))))
% 16.70/16.93 (assume a9952 (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_zf N) F) tptp.at_top_real F3))))))
% 16.70/16.93 (assume a9953 (tptp.filterlim_real_real tptp.sqrt tptp.at_top_real tptp.at_top_real))
% 16.70/16.93 (assume a9954 (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat)))
% 16.70/16.93 (assume a9955 (tptp.filterlim_real_real tptp.tanh_real (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_real))
% 16.70/16.93 (assume a9956 (tptp.filterlim_real_real tptp.artanh_real tptp.at_top_real (tptp.topolo2177554685111907308n_real tptp.one_one_real (tptp.set_or5984915006950818249n_real tptp.one_one_real))))
% 16.70/16.93 (assume a9957 (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)))))
% 16.70/16.93 (assume a9958 (tptp.filterlim_real_real tptp.aTP_Lamm_zg (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_real))
% 16.70/16.93 (assume a9959 (forall ((K tptp.nat)) (tptp.filterlim_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_zh K) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_real)))
% 16.70/16.93 (assume a9960 (forall ((X tptp.real)) (tptp.filterlim_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_zi X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) tptp.at_top_real)))
% 16.70/16.93 (assume a9961 (tptp.filterlim_real_real tptp.tan_real tptp.at_top_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.set_or5984915006950818249n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.70/16.93 (assume a9962 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) 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)))))))
% 16.70/16.93 (assume a9963 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.at_top_real))
% 16.70/16.93 (assume a9964 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F5 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))))))))))
% 16.70/16.93 (assume a9965 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat (tptp.aTP_Lamm_zm P) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 16.70/16.93 (assume a9966 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (= (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_zn P) K) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 16.70/16.93 (assume a9967 (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))))
% 16.70/16.93 (assume a9968 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat P tptp.at_top_nat) (exists ((N9 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N5)) (tptp.pp (tptp.aa_nat_bool P N5))))))))
% 16.70/16.93 (assume a9969 (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)))))
% 16.70/16.93 (assume a9970 (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_zn P) K) tptp.at_top_nat))))
% 16.70/16.93 (assume a9971 (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_zo B) A) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))
% 16.70/16.93 (assume a9972 (forall ((P tptp.fun_real_bool) (A tptp.real)) (= (tptp.eventually_real P (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_zp P) A) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 16.70/16.93 (assume a9973 (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_zo A) B) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))
% 16.70/16.93 (assume a9974 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)))))))))
% 16.70/16.93 (assume a9975 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))))))
% 16.70/16.93 (assume a9976 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F5 tptp.fun_real_real) (F3 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) F3 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) F3 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))))
% 16.70/16.93 (assume a9977 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F5 tptp.fun_real_real) (F3 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) F3 (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) F3 (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))))))))))))
% 16.70/16.93 (assume a9978 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))))))
% 16.70/16.93 (assume a9979 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)))))))))
% 16.70/16.93 (assume a9980 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))))))
% 16.70/16.93 (assume a9981 (forall ((G tptp.fun_real_real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F5 tptp.fun_real_real) (X tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real tptp.at_top_real) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) tptp.at_top_real) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) tptp.at_top_real) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) tptp.at_top_real) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) (tptp.topolo2815343760600316023s_real X) tptp.at_top_real) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G) F) (tptp.topolo2815343760600316023s_real X) tptp.at_top_real))))))))
% 16.70/16.93 (assume a9982 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F5 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))
% 16.70/16.93 (assume a9983 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F5 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))))))))))
% 16.70/16.93 (assume a9984 (forall ((F0 tptp.fun_real_real) (G0 tptp.fun_real_real) (G2 tptp.fun_real_real) (F5 tptp.fun_real_real) (F3 tptp.filter_real)) (=> (tptp.filterlim_real_real F0 (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real G0 (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G0) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F0) F5) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G0) G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) F3 (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F0) G0) F3 (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))))
% 16.70/16.93 (assume a9985 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F5 tptp.fun_real_real) (F3 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) F3 (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) F3 (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))))))))))))
% 16.70/16.93 (assume a9986 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F5 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F5) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zq F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))))))
% 16.70/16.93 (assume a9987 (forall ((G tptp.fun_real_real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F5 tptp.fun_real_real) (X tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_zj G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk F) F5) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk G) G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G2) F5) (tptp.topolo2815343760600316023s_real X) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zl G) F) (tptp.topolo2815343760600316023s_real X) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))
% 16.70/16.93 (assume a9988 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.bfun_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) tptp.at_top_nat)))))
% 16.70/16.93 (assume a9989 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat L) U))))
% 16.70/16.93 (assume a9990 (forall ((P tptp.fun_nat_bool) (B tptp.nat)) (=> (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 16.70/16.93 (assume a9991 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.order_Greatest_nat P)))))))
% 16.70/16.93 (assume a9992 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 16.70/16.93 (assume a9993 (forall ((I2 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 I2)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I2) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I2) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat (tptp.aa_nat_nat tptp.suc I2)) J)))))))
% 16.70/16.93 (assume a9994 (forall ((N tptp.nat) (J tptp.nat) (I2 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) I2))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I2) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) N))))))
% 16.70/16.93 (assume a9995 (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))))
% 16.70/16.93 (assume a9996 (forall ((X6 tptp.fun_nat_real) (B2 tptp.real)) (=> (tptp.order_9091379641038594480t_real X6) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_nat_real X6 I4)))) (tptp.bfun_nat_real X6 tptp.at_top_nat)))))
% 16.70/16.93 (assume a9997 (forall ((X6 tptp.fun_nat_real) (B2 tptp.real)) (=> (tptp.order_9091379641038594480t_real X6) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_nat_real X6 I4)))) (not (forall ((L5 tptp.real)) (=> (tptp.filterlim_nat_real X6 (tptp.topolo2815343760600316023s_real L5) tptp.at_top_nat) (not (forall ((I tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L5) (tptp.aa_nat_real X6 I))))))))))))
% 16.70/16.93 (assume a9998 (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)))))
% 16.70/16.93 (assume a9999 (forall ((I2 tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int I2) J))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J)) (= (tptp.upto I2 J) (tptp.cons_int I2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) tptp.one_one_int) J)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J))) (= (tptp.upto I2 J) tptp.nil_int))))))
% 16.70/16.93 (assume a10000 (forall ((J tptp.int) (I2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I2)) (= (tptp.upto I2 J) tptp.nil_int))))
% 16.70/16.93 (assume a10001 (forall ((I2 tptp.int) (J tptp.int)) (= (= tptp.nil_int (tptp.upto I2 J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I2)))))
% 16.70/16.93 (assume a10002 (forall ((I2 tptp.int) (J tptp.int)) (= (= (tptp.upto I2 J) tptp.nil_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I2)))))
% 16.70/16.93 (assume a10003 (forall ((I2 tptp.int)) (= (tptp.upto I2 I2) (tptp.cons_int I2 tptp.nil_int))))
% 16.70/16.93 (assume a10004 (forall ((I2 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 I2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.upto I2 J)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))))))
% 16.70/16.93 (assume a10005 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.size_size_list_int (tptp.upto I2 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) I2)) tptp.one_one_int)))))
% 16.70/16.93 (assume a10006 (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)))))
% 16.70/16.93 (assume a10007 (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)))))
% 16.70/16.93 (assume a10008 (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)))))
% 16.70/16.93 (assume a10009 (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)))))
% 16.70/16.93 (assume a10010 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.set_or6656581121297822940st_int I2 J) (tptp.set_int2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) tptp.one_one_int) J)))))
% 16.70/16.93 (assume a10011 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.set_or4662586982721622107an_int I2 J) (tptp.set_int2 (tptp.upto I2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int))))))
% 16.70/16.93 (assume a10012 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.set_or1266510415728281911st_int I2 J) (tptp.set_int2 (tptp.upto I2 J)))))
% 16.70/16.93 (assume a10013 (forall ((I2 tptp.int) (J tptp.int)) (tptp.pp (tptp.aa_list_int_bool tptp.distinct_int (tptp.upto I2 J)))))
% 16.70/16.93 (assume a10014 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.upto I2 J) (tptp.upto_aux I2 J tptp.nil_int))))
% 16.70/16.93 (assume a10015 (forall ((I2 tptp.int) (J tptp.int) (Js tptp.list_int)) (= (tptp.upto_aux I2 J Js) (tptp.append_int (tptp.upto I2 J) Js))))
% 16.70/16.93 (assume a10016 (forall ((I2 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 I2) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I2 K) (tptp.append_int (tptp.upto I2 J) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) tptp.one_one_int) K)))))))
% 16.70/16.93 (assume a10017 (forall ((I2 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 I2) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I2 K) (tptp.append_int (tptp.upto I2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int)) (tptp.upto J K)))))))
% 16.70/16.93 (assume a10018 (forall ((I2 tptp.int) (J tptp.int)) (= (tptp.set_or5832277885323065728an_int I2 J) (tptp.set_int2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int))))))
% 16.70/16.93 (assume a10019 (forall ((I2 tptp.int) (J tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J)) (= (tptp.upto I2 J) (tptp.cons_int I2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) tptp.one_one_int) J)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J))) (= (tptp.upto I2 J) tptp.nil_int)))))
% 16.70/16.93 (assume a10020 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X Xa2) Y) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa2)) (= Y (tptp.cons_int X (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int) Xa2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa2))) (= Y tptp.nil_int))))))
% 16.70/16.93 (assume a10021 (forall ((I2 tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J)) (= (tptp.upto I2 J) (tptp.cons_int I2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I2) tptp.one_one_int) J))))))
% 16.70/16.93 (assume a10022 (forall ((I2 tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I2) J)) (= (tptp.upto I2 J) (tptp.append_int (tptp.upto I2 (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))))))
% 16.70/16.93 (assume a10023 (forall ((I2 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 I2) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I2 K) (tptp.append_int (tptp.upto I2 (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))))))))
% 16.70/16.93 (assume a10024 (forall ((X tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X Xa2) Y) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa2))) (not (=> (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa2)) (= Y (tptp.cons_int X (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int) Xa2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa2))) (= Y tptp.nil_int))) (not (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa2))))))))))
% 16.70/16.93 (assume a10025 (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)))))))))))
% 16.70/16.93 (assume a10026 (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) (Z3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) B)) (tptp.has_fi5821293074295781190e_real F L3 (tptp.topolo2177554685111907308n_real Z3 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)))))))))
% 16.70/16.93 (assume a10027 (forall ((A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.set_ord_atLeast_real tptp.one_one_real))) (tptp.topolo5044208981011980120l_real A2 tptp.arcosh_real))))
% 16.70/16.93 (assume a10028 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.topolo5044208981011980120l_real A2 F) (=> (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.topolo5044208981011980120l_real A2 (tptp.aTP_Lamm_zr F))))))
% 16.70/16.93 (assume a10029 (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_eq_real A) B)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B) F) (exists ((C3 tptp.real) (D2 tptp.real)) (and (= (tptp.image_real_real F (tptp.set_or1222579329274155063t_real A B)) (tptp.set_or1222579329274155063t_real C3 D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C3) D2))))))))
% 16.70/16.93 (assume a10030 (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real) tptp.arccos))
% 16.70/16.93 (assume a10031 (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real) tptp.arcsin))
% 16.70/16.93 (assume a10032 (forall ((A2 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A2) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real))) (tptp.topolo5044208981011980120l_real A2 tptp.artanh_real))))
% 16.70/16.93 (assume a10033 (forall ((A2 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.topolo5044208981011980120l_real A2 F) (=> (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 (tptp.aa_real_real F X4)) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real))))) (tptp.topolo5044208981011980120l_real A2 (tptp.aTP_Lamm_zs F))))))
% 16.70/16.93 (assume a10034 (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 ((Z3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) B)) (forall ((X2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real F5 Z3) X2) tptp.zero_zero_real))))))))))
% 16.70/16.93 (assume a10035 (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)))))))))))))
% 16.70/16.93 (assume a10036 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (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) Y2))))))) (=> (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))))))))
% 16.70/16.93 (assume a10037 (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 ((Y2 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y2 (tptp.topolo2177554685111907308n_real X4 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y2) 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))))))))
% 16.70/16.93 (assume a10038 (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)))))))
% 16.70/16.93 (assume a10039 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) 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) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) B)) (= (tptp.aa_real_real F X) (tptp.aa_real_real F A)))))))))
% 16.70/16.93 (assume a10040 (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 ((Z3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) B)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real Z3 tptp.top_top_set_real))))))))))
% 16.70/16.93 (assume a10041 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int (tptp.aTP_Lamm_zt M) (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat M) N)))))
% 16.70/16.93 (assume a10042 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bitM N))))))
% 16.70/16.93 (assume a10043 (forall ((M tptp.num)) (= (tptp.bit_take_bit_num tptp.zero_zero_nat M) tptp.none_num)))
% 16.70/16.93 (assume a10044 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) tptp.one) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10045 (forall ((R tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R) tptp.one) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10046 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit0 M)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_zu (tptp.bit_take_bit_num N M)))))
% 16.70/16.93 (assume a10047 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit1 M)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num N M))))))
% 16.70/16.93 (assume a10048 (forall ((R tptp.num) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R) (tptp.aa_num_num tptp.bit0 M)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_zu (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R) M)))))
% 16.70/16.93 (assume a10049 (forall ((R tptp.num) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R) (tptp.aa_num_num tptp.bit1 M)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R) M))))))
% 16.70/16.93 (assume a10050 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.93 (assume a10051 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bit0 N))))))
% 16.70/16.93 (assume a10052 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bitM N))))))
% 16.70/16.93 (assume a10053 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit0 M)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_zv M) N))))
% 16.70/16.93 (assume a10054 (= (tptp.bit_and_not_num tptp.one tptp.one) tptp.none_num))
% 16.70/16.93 (assume a10055 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num N tptp.one) (tptp.case_nat_option_num tptp.none_num tptp.aTP_Lamm_zw N))))
% 16.70/16.93 (assume a10056 (forall ((M tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 16.70/16.93 (assume a10057 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10058 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit1 N)) tptp.none_num)))
% 16.70/16.93 (assume a10059 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit1 M)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_zx M) N))))
% 16.70/16.93 (assume a10060 (forall ((M tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 16.70/16.93 (assume a10061 (forall ((M tptp.num) (N tptp.num) (Q2 tptp.num)) (= (= (tptp.bit_and_not_num M N) (tptp.some_num Q2)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int Q2)))))
% 16.70/16.93 (assume a10062 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_zy (tptp.bit_and_not_num M N)))))
% 16.70/16.93 (assume a10063 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.bit_and_not_num M N) tptp.none_num) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 16.70/16.93 (assume a10064 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num N M)))))
% 16.70/16.93 (assume a10065 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M N)))))
% 16.70/16.93 (assume a10066 (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)))))))))
% 16.70/16.93 (assume a10067 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X (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)) (=> (= X (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.vEBT_VEBT_valid X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima))))))))))))
% 16.70/16.93 (assume a10068 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2)) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X (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)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (not (and (= Deg2 Xa2) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima)))))))))))
% 16.70/16.93 (assume a10069 (forall ((Mima2 tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Deg4 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Node Mima2 Deg TreeList Summary)) Deg4)) (and (= Deg Deg4) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_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.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.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg) TreeList) Summary))) Mima2))))))
% 16.70/16.93 (assume a10070 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2))) (=> (=> (exists ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= X (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)) (=> (= X (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.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima))))))))))
% 16.70/16.93 (assume a10071 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (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)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) 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.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima))))))))))))
% 16.70/16.93 (assume a10072 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (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)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Xa2)) (not (and (= Deg2 Xa2) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima)))))))))))))
% 16.70/16.93 (assume a10073 (forall ((X tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa2)) (=> (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (=> (= X (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)) (=> (= X (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.vEBT_VEBT_valid X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (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_zz Deg2) TreeList2) Summary2))) Mima)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Xa2))))))))))))
% 16.70/16.93 (assume a10074 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N M) (tptp.produc478579273971653890on_num tptp.aTP_Lamm_aad (tptp.product_Pair_nat_num N M)))))
% 16.70/16.93 (assume a10075 (tptp.order_mono_nat_nat tptp.suc))
% 16.70/16.93 (assume a10076 (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)))))
% 16.70/16.93 (assume a10077 (forall ((X6 tptp.fun_nat_real) (B2 tptp.real)) (=> (tptp.order_mono_nat_real X6) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 I4)) B2))) (tptp.bfun_nat_real X6 tptp.at_top_nat)))))
% 16.70/16.93 (assume a10078 (forall ((X6 tptp.fun_nat_real) (B2 tptp.real)) (=> (tptp.order_mono_nat_real X6) (=> (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 I4)) B2))) (not (forall ((L5 tptp.real)) (=> (tptp.filterlim_nat_real X6 (tptp.topolo2815343760600316023s_real L5) tptp.at_top_nat) (not (forall ((I tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 I)) L5)))))))))))
% 16.70/16.93 (assume a10079 (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_aae K)))))
% 16.70/16.93 (assume a10080 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_and_not_num X Xa2) Y) (=> (=> (= X tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit0 N3))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit1 N3))) (not (= Y tptp.none_num)))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M5 N3)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M5 N3)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_zy (tptp.bit_and_not_num M5 N3)))))))) (not (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M5 N3))))))))))))))))))))
% 16.70/16.93 (assume a10081 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (forall ((X4 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 X4)))) (=> (tptp.order_mono_nat_real F) (=> (tptp.order_5726023648592871131at_nat G) (= (tptp.bfun_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_aaf F) G) tptp.at_top_nat) (tptp.bfun_nat_real F tptp.at_top_nat)))))))
% 16.70/16.93 (assume a10082 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 16.70/16.93 (assume a10083 (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))))))
% 16.70/16.93 (assume a10084 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 16.70/16.93 (assume a10085 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 16.70/16.93 (assume a10086 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num X) Xa2) Y) (=> (=> (= X tptp.one) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit0 N3))) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit1 N3))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (exists ((M5 tptp.num)) (= X (tptp.aa_num_num tptp.bit0 M5))) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M5) N3)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M5) N3)))))))) (=> (=> (exists ((M5 tptp.num)) (= X (tptp.aa_num_num tptp.bit1 M5))) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M5) N3)))))))) (not (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_zy (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M5) N3))))))))))))))))))))
% 16.70/16.93 (assume a10087 (forall ((X tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num X) Xa2) Y) (=> (=> (= X tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 N3))))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 N3))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M5) N3)))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M5) N3))))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M5))))))) (=> (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M5) N3))))))))) (not (forall ((M5 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M5)) (forall ((N3 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M5) N3))))))))))))))))))))
% 16.70/16.93 (assume a10088 (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) tptp.one) (tptp.some_num tptp.one)))
% 16.70/16.93 (assume a10089 (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) tptp.one) tptp.none_num))
% 16.70/16.93 (assume a10090 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N)))))
% 16.70/16.93 (assume a10091 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 16.70/16.93 (assume a10092 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10093 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10094 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) tptp.none_num)))
% 16.70/16.93 (assume a10095 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) tptp.none_num)))
% 16.70/16.93 (assume a10096 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 16.70/16.93 (assume a10097 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 16.70/16.93 (assume a10098 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N)))))
% 16.70/16.93 (assume a10099 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.aa_num_num tptp.bit1 N)))))
% 16.70/16.93 (assume a10100 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.aa_num_num tptp.bit0 N)))))
% 16.70/16.93 (assume a10101 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit1 M)))))
% 16.70/16.93 (assume a10102 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 16.70/16.93 (assume a10103 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_zy (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 16.70/16.93 (assume a10104 (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)))))
% 16.70/16.93 (assume a10105 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N))))))
% 16.70/16.93 (assume a10106 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N))))))
% 16.70/16.93 (assume a10107 (= tptp.bit_un2480387367778600638or_num tptp.bit_un6178654185764691216or_num))
% 16.70/16.93 (assume a10108 (= tptp.bit_un7362597486090784418nd_num tptp.bit_un1837492267222099188nd_num))
% 16.70/16.93 (assume a10109 (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_xs N)) tptp.top_top_set_real)))))
% 16.70/16.93 (assume a10110 (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))))))
% 16.70/16.93 (assume a10111 (forall ((N2 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat tptp.suc) N2))))
% 16.70/16.93 (assume a10112 (forall ((N2 tptp.set_nat) (K tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N3) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N3)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xp K)) N2)))))
% 16.70/16.93 (assume a10113 (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_char tptp.unique3096191561947761185of_nat) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.70/16.93 (assume a10114 (= tptp.sup_sup_int tptp.ord_max_int))
% 16.70/16.93 (assume a10115 (= (tptp.comp_nat_nat_nat tptp.suc tptp.suc) (tptp.comp_nat_nat_nat tptp.suc tptp.suc)))
% 16.70/16.93 (assume a10116 (= tptp.sup_sup_nat tptp.ord_max_nat))
% 16.70/16.93 (assume a10117 (= tptp.sup_su3973961784419623482d_enat tptp.ord_ma741700101516333627d_enat))
% 16.70/16.93 (assume a10118 (forall ((I2 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 I2) J)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)) (tptp.sup_sup_set_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I2) J) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))))
% 16.70/16.93 (assume a10119 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat G) tptp.top_top_set_nat)) (=> (forall ((X4 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 X4)))) (tptp.summable_real (tptp.comp_nat_real_nat F G)))))))
% 16.70/16.93 (assume a10120 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat G) tptp.top_top_set_nat)) (=> (forall ((X4 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 X4)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.comp_nat_real_nat F G))) (tptp.suminf_real F))))))))
% 16.70/16.93 (assume a10121 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat G) tptp.top_top_set_nat)) (=> (forall ((X4 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 X4)))) (=> (forall ((X4 tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.image_nat_nat G tptp.top_top_set_nat)))) (= (tptp.aa_nat_real F X4) tptp.zero_zero_real))) (= (tptp.suminf_real (tptp.comp_nat_real_nat F G)) (tptp.suminf_real F))))))))
% 16.70/16.93 (assume a10122 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.remdups_nat (tptp.upt M N)) (tptp.upt M N))))
% 16.70/16.93 (assume a10123 (forall ((I2 tptp.nat) (J tptp.nat)) (= (tptp.size_size_list_nat (tptp.upt I2 J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I2))))
% 16.70/16.93 (assume a10124 (forall ((J tptp.nat) (I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I2)) (= (tptp.upt I2 J) tptp.nil_nat))))
% 16.70/16.93 (assume a10125 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N)) (tptp.upt M N))))
% 16.70/16.93 (assume a10126 (forall ((I2 tptp.nat) (J tptp.nat)) (= (= (tptp.upt I2 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) I2))))))
% 16.70/16.93 (assume a10127 (forall ((I2 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 I2) K)) J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.upt I2 J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) K)))))
% 16.70/16.93 (assume a10128 (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)))))
% 16.70/16.93 (assume a10129 (forall ((I2 tptp.nat)) (= (tptp.upt I2 tptp.zero_zero_nat) tptp.nil_nat)))
% 16.70/16.93 (assume a10130 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat N) M) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) M)))))
% 16.70/16.93 (assume a10131 (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)))))
% 16.70/16.93 (assume a10132 (forall ((I2 tptp.nat) (J tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I2) J) (tptp.set_nat2 (tptp.upt I2 J)))))
% 16.70/16.93 (assume a10133 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M) (tptp.set_nat2 (tptp.upt N (tptp.aa_nat_nat tptp.suc M))))))
% 16.70/16.93 (assume a10134 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat N) M) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat tptp.suc M))))))
% 16.70/16.93 (assume a10135 (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)))))
% 16.70/16.93 (assume a10136 (forall ((I2 tptp.nat) (J tptp.nat)) (tptp.pp (tptp.aa_list_nat_bool tptp.distinct_nat (tptp.upt I2 J)))))
% 16.70/16.93 (assume a10137 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.map_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aag 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)))))
% 16.70/16.93 (assume a10138 (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)))))
% 16.70/16.93 (assume a10139 (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))))))
% 16.70/16.93 (assume a10140 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (= (tptp.upt I2 J) (tptp.cons_nat I2 (tptp.upt (tptp.aa_nat_nat tptp.suc I2) J))))))
% 16.70/16.93 (assume a10141 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.aTP_Lamm_aah (tptp.upt (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.upt M N))))
% 16.70/16.93 (assume a10142 (forall ((I2 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 I2) J)) (= (tptp.upt I2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)) (tptp.append_nat (tptp.upt I2 J) (tptp.upt J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))))
% 16.70/16.93 (assume a10143 (forall ((I2 tptp.nat) (J tptp.nat) (X tptp.nat) (Xs tptp.list_nat)) (= (= (tptp.upt I2 J) (tptp.cons_nat X Xs)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (= I2 X) (= (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) tptp.one_one_nat) J) Xs)))))
% 16.70/16.93 (assume a10144 (forall ((I2 tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (= (tptp.upt I2 J) (tptp.cons_nat I2 (tptp.upt (tptp.aa_nat_nat tptp.suc I2) J)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J))) (= (tptp.upt I2 J) tptp.nil_nat)))))
% 16.70/16.93 (assume a10145 (forall ((I2 tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) J)) (= (tptp.upt I2 (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I2 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 I2) J))) (= (tptp.upt I2 (tptp.aa_nat_nat tptp.suc J)) tptp.nil_nat)))))
% 16.70/16.93 (assume a10146 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) J)) (= (tptp.upt I2 (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I2 J) (tptp.cons_nat J tptp.nil_nat))))))
% 16.70/16.93 (assume a10147 (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_am) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N))))))
% 16.70/16.93 (assume a10148 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) M)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_aai M) N2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_aaj M) N2)))) (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_aak M) N2))))))))
% 16.70/16.93 (assume a10149 (forall ((M tptp.nat) (N2 tptp.nat)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_aai M) N2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) tptp.one_one_nat)) N2))))
% 16.70/16.93 (assume a10150 (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)))))
% 16.70/16.93 (assume a10151 (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)))))
% 16.70/16.93 (assume a10152 (forall ((Ns tptp.list_nat) (I2 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 I2) (tptp.size_size_list_nat Ns))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) (tptp.aa_nat_nat (tptp.nth_nat Ns) I2)))))))
% 16.70/16.93 (assume a10153 (forall ((I2 tptp.int) (J tptp.int)) (tptp.pp (tptp.aa_list_int_bool (tptp.sorted_wrt_int tptp.ord_less_int) (tptp.upto I2 J)))))
% 16.70/16.93 (assume a10154 (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)))))
% 16.70/16.93 (assume a10155 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.tl_nat (tptp.upt M N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M) N))))
% 16.70/16.93 (assume a10156 (forall ((I2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) J)) (= (tptp.hd_nat (tptp.upt I2 J)) I2))))
% 16.70/16.93 (assume a10157 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (or (not (= X tptp.zero_zero_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) N))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real (tptp.power_int_real X) N))))))
% 16.70/16.93 (assume a10158 (= tptp.topolo1511823702728130853y_real (tptp.comple2936214249959783750l_real (tptp.image_2178119161166701260l_real tptp.aTP_Lamm_aam (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 16.70/16.93 (assume a10159 (= tptp.topolo896644834953643431omplex (tptp.comple8358262395181532106omplex (tptp.image_5971271580939081552omplex tptp.aTP_Lamm_aao (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 16.70/16.93 (assume a10160 (forall ((M tptp.nat)) (= (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_qe M))) (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M) (tptp.aTP_Lamm_aap M)))))
% 16.70/16.93 (assume a10161 (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 ((M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) M6)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N5)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N5) M6)))))))))))
% 16.70/16.93 (assume a10162 (= tptp.pred_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.aTP_Lamm_aaq))))
% 16.70/16.93 (assume a10163 (forall ((A tptp.real)) (= (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A)) (tptp.filtermap_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_aar A) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 16.70/16.93 (assume a10164 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M) N)) (tptp.transi6264000038957366511cl_nat tptp.pred_nat))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 16.70/16.93 (assume a10165 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M) N)) (tptp.transi2905341329935302413cl_nat tptp.pred_nat))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 16.70/16.93 (assume a10166 (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)))))
% 16.70/16.93 (assume a10167 (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)))
% 16.70/16.93 (assume a10168 (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)))
% 16.70/16.93 (assume a10169 (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))))))
% 16.70/16.93 (assume a10170 (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)))))
% 16.70/16.93 (assume a10171 (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)))))
% 16.70/16.93 (assume a10172 (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)))))
% 16.70/16.93 (assume a10173 (forall ((M tptp.nat) (I2 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) I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) I2)) (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)) I2))))
% 16.70/16.93 (assume a10174 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int) (L tptp.int) (R tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit M (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) R) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N) K) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) L) R)))))
% 16.70/16.93 (assume a10175 (= tptp.inf_inf_nat tptp.ord_min_nat))
% 16.70/16.93 (assume a10176 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N) K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) L)))))
% 16.70/16.93 (assume a10177 (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_aas N)) M))))
% 16.70/16.93 (assume a10178 (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_aat N)) M))))
% 16.70/16.93 (assume a10179 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat Q2) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.93 (assume a10180 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat tptp.zero_z5237406670263579293d_enat) Q2) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.93 (assume a10181 (forall ((I2 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 I2) M)) N)) (= (tptp.take_nat M (tptp.upt I2 N)) (tptp.upt I2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) M))))))
% 16.70/16.93 (assume a10182 (forall ((M tptp.nat) (I2 tptp.nat) (J tptp.nat)) (= (tptp.drop_nat M (tptp.upt I2 J)) (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I2) M) J))))
% 16.70/16.93 (assume a10183 (= tptp.inf_in1870772243966228564d_enat tptp.ord_mi8085742599997312461d_enat))
% 16.70/16.93 (assume a10184 (= tptp.field_5140801741446780682s_real (tptp.collect_real tptp.aTP_Lamm_aau)))
% 16.70/16.93 (assume a10185 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.field_5140801741446780682s_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) tptp.field_5140801741446780682s_real)))))
% 16.70/16.93 (assume a10186 (forall ((X 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_eq_real X) X4))))))
% 16.70/16.93 (assume a10187 (forall ((X 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) X))))))
% 16.70/16.93 (assume a10188 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) 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 X) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Y)))))))
% 16.70/16.93 (assume a10189 (= tptp.field_5140801741446780682s_real (tptp.collect_real tptp.aTP_Lamm_aav)))
% 16.70/16.93 (assume a10190 (forall ((N tptp.nat) (A2 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) A2)) (tptp.insert_nat N (tptp.vimage_nat_nat tptp.suc A2)))))
% 16.70/16.93 (assume a10191 (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))))
% 16.70/16.93 (assume a10192 (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)))))
% 16.70/16.93 (assume a10193 (forall ((X tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vimage_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.nat_set_decode X)))))
% 16.70/16.93 (assume a10194 (forall ((A2 tptp.set_nat)) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.vimage_nat_nat tptp.suc A2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat tptp.nat_set_encode A2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a10195 (forall ((S tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.finite_card_nat S)) (tptp.aa_nat_nat tptp.suc (tptp.lattic8265883725875713057ax_nat S)))))))
% 16.70/16.93 (assume a10196 (forall ((N tptp.nat) (M tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) (tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_aaw N) M))))))))
% 16.70/16.93 (assume a10197 (forall ((N tptp.nat)) (= (tptp.field_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_aax N)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bq N)))))
% 16.70/16.93 (assume a10198 (= tptp.bNF_Ca8459412986667044542atLess (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_nat))))
% 16.70/16.93 (assume a10199 (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_bq N)) (tptp.aTP_Lamm_aay N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_aax N))))))
% 16.70/16.93 (assume a10200 (= tptp.bNF_Ca8665028551170535155natLeq (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_eq_nat))))
% 16.70/16.93 (assume a10201 (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.wf_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_nat)))))
% 16.70/16.93 (assume a10202 (forall ((N tptp.nat)) (= (tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N) (tptp.aTP_Lamm_aaz N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_aax N))))))
% 16.70/16.93 (assume a10203 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bq N)))))
% 16.70/16.93 (assume a10204 (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))))
% 16.70/16.93 (assume a10205 (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))))))
% 16.70/16.93 (assume a10206 (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))))))
% 16.70/16.93 (assume a10207 (= tptp.nat_prod_encode (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_aba)))
% 16.70/16.93 (assume a10208 (forall ((X tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X) Y) (=> (=> (= X tptp.nil_nat) (not (= Y tptp.zero_zero_nat))) (not (forall ((X4 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X (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)))))))))))))
% 16.70/16.93 (assume a10209 (forall ((X tptp.nat) (Xs tptp.list_nat)) (= (tptp.nat_list_encode (tptp.cons_nat X Xs)) (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) (tptp.nat_list_encode Xs)))))))
% 16.70/16.93 (assume a10210 (forall ((X tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X) Y) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) X)) (=> (=> (= X tptp.nil_nat) (=> (= Y tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) tptp.nil_nat))))) (not (forall ((X4 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X (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)))))))))))))
% 16.70/16.93 (assume a10211 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_eo 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.aa_real_fun_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))))))
% 16.70/16.93 (assume a10212 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_kh Uu) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat tptp.suc Uu)))))
% 16.70/16.93 (assume a10213 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_wp Uu)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Uu)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uu) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Uu) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a10214 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_kq Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.cos_coeff Uu)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) Uu)))))
% 16.70/16.93 (assume a10215 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_yl Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real Uu)) (tptp.aa_real_real tptp.sin_real Uu)))))
% 16.70/16.93 (assume a10216 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_zg Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real Uu)) Uu))))
% 16.70/16.93 (assume a10217 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_yn Uu) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu)))))
% 16.70/16.93 (assume a10218 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_aah 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)))))
% 16.70/16.93 (assume a10219 (forall ((Uu tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.aTP_Lamm_ln Uu) (tptp.plus_p5714425477246183910nteger Uu tptp.one_one_Code_integer))))
% 16.70/16.93 (assume a10220 (forall ((Uu tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.aTP_Lamm_li Uu) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat Uu) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10221 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_lm Uu) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) tptp.one_one_complex))))
% 16.70/16.93 (assume a10222 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_lj Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) tptp.one_one_real))))
% 16.70/16.93 (assume a10223 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_ll Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu) tptp.one_one_nat))))
% 16.70/16.93 (assume a10224 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_lk Uu) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu) tptp.one_one_int))))
% 16.70/16.93 (assume a10225 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_yq Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu)))))
% 16.70/16.93 (assume a10226 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_ye Uu) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep Uu)))))
% 16.70/16.93 (assume a10227 (forall ((Uu tptp.real)) (= (tptp.aa_rea5117059003799598681omplex tptp.aTP_Lamm_aao Uu) (tptp.princi3496590319149328850omplex (tptp.collec8663557070575231912omplex (tptp.produc9214369023355538061x_bool (tptp.aTP_Lamm_aan Uu)))))))
% 16.70/16.93 (assume a10228 (forall ((Uu tptp.real)) (= (tptp.aa_rea5428163979925208277l_real tptp.aTP_Lamm_aam Uu) (tptp.princi6114159922880469582l_real (tptp.collec3799799289383736868l_real (tptp.produc5257810830037637649l_bool (tptp.aTP_Lamm_aal Uu)))))))
% 16.70/16.93 (assume a10229 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_ys Uu) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uu))))))
% 16.70/16.93 (assume a10230 (forall ((Uu tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_zy Uu) (tptp.some_num (tptp.aa_num_num tptp.bit1 Uu)))))
% 16.70/16.93 (assume a10231 (forall ((Uu tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_zu Uu) (tptp.some_num (tptp.aa_num_num tptp.bit0 Uu)))))
% 16.70/16.93 (assume a10232 (forall ((Uu tptp.nat)) (= (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_eb Uu) (tptp.product_Pair_nat_nat (tptp.aa_nat_nat tptp.suc Uu)))))
% 16.70/16.93 (assume a10233 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_aau Uu)) (exists ((I5 tptp.int) (N5 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 N5))) (not (= N5 tptp.zero_zero_nat)))))))
% 16.70/16.93 (assume a10234 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_aav Uu)) (exists ((I5 tptp.int) (J3 tptp.int)) (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_int_real tptp.ring_1_of_int_real J3))) (not (= J3 tptp.zero_zero_int)))))))
% 16.70/16.93 (assume a10235 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_option_num tptp.aTP_Lamm_zw Uu) (tptp.some_num tptp.one))))
% 16.70/16.93 (assume a10236 (forall ((Uu tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_aac Uu) Uua) (tptp.case_num_option_num (tptp.some_num tptp.one) (tptp.aTP_Lamm_aaa Uua) (tptp.aTP_Lamm_aab Uua) Uu))))
% 16.70/16.93 (assume a10237 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_wa 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_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua))) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a10238 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vz 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_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua))) tptp.zero_zero_real))))
% 16.70/16.93 (assume a10239 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_td 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))))
% 16.70/16.93 (assume a10240 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_tc 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))))
% 16.70/16.93 (assume a10241 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_te 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))))
% 16.70/16.93 (assume a10242 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_tb 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))))
% 16.70/16.93 (assume a10243 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vy 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.zero_zero_complex) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua))))))
% 16.70/16.93 (assume a10244 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vx 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.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua))))))
% 16.70/16.93 (assume a10245 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_kl 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.zero_zero_real) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a10246 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_int (tptp.aa_Cod1242632294114111009er_int tptp.aTP_Lamm_wv Uu) Uua) (tptp.aa_int_int (tptp.if_int (tptp.aa_Code_integer_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)))))
% 16.70/16.93 (assume a10247 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_nat2010205248571845816nteger tptp.aTP_Lamm_ei 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.aa_Cod1783974652533396728nteger (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.aa_Cod1783974652533396728nteger (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)))))
% 16.70/16.93 (assume a10248 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_nat2025370463774033377d_enat tptp.aTP_Lamm_ee Uu) Uua) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_enat tptp.numera1916890842035813515d_enat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uu))) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_num_Extended_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)))))
% 16.70/16.93 (assume a10249 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex tptp.aTP_Lamm_eh 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)))))
% 16.70/16.93 (assume a10250 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_ef 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)))))
% 16.70/16.93 (assume a10251 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ej 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)))))
% 16.70/16.93 (assume a10252 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_eg 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)))))
% 16.70/16.93 (assume a10253 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_num (tptp.aa_Cod6128727250572145423er_num tptp.aTP_Lamm_wt Uu) Uua) (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num (tptp.aa_Code_integer_bool (tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.code_num_of_integer Uu)) (tptp.code_num_of_integer Uu))) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.code_num_of_integer Uu)) (tptp.code_num_of_integer Uu))) tptp.one)))))
% 16.70/16.93 (assume a10254 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_nat (tptp.aa_Cod5420483313623307717er_nat tptp.aTP_Lamm_wu Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_Code_integer_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)))))
% 16.70/16.93 (assume a10255 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_sz 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))))
% 16.70/16.93 (assume a10256 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_sy 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))))
% 16.70/16.93 (assume a10257 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_ta 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))))
% 16.70/16.93 (assume a10258 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_sx 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))))
% 16.70/16.93 (assume a10259 (forall ((Uu tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_nat3713591252005393295on_num tptp.aTP_Lamm_aad Uu) Uua) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_aac Uua) Uu))))
% 16.70/16.93 (assume a10260 (forall ((Uu tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_aaa Uu) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_zu (tptp.bit_take_bit_num Uu Uua)))))
% 16.70/16.93 (assume a10261 (forall ((Uu tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_zv Uu) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_zu (tptp.bit_take_bit_num Uua Uu)))))
% 16.70/16.93 (assume a10262 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_tt Uu) Uua) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_ts Uu) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.70/16.93 (assume a10263 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_tr Uu) Uua) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qf Uu) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.70/16.93 (assume a10264 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_qi Uu) Uua) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_qh Uu) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.70/16.93 (assume a10265 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_qg Uu) Uua) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qf Uu) Uua)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.70/16.93 (assume a10266 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_el 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.70/16.93 (assume a10267 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_kv 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))
% 16.70/16.93 (assume a10268 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lg 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))
% 16.70/16.93 (assume a10269 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_ug Uu) Uua) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (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))))))
% 16.70/16.93 (assume a10270 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_uf 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))))))
% 16.70/16.93 (assume a10271 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_uh 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 16.70/16.93 (assume a10272 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_ue 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))))))
% 16.70/16.93 (assume a10273 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_sh 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)))))
% 16.70/16.93 (assume a10274 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_si Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.70/16.93 (assume a10275 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wq Uu) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real Uua) Uu)))))
% 16.70/16.93 (assume a10276 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wc 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)))))
% 16.70/16.93 (assume a10277 (forall ((Uu tptp.complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ws 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))))))
% 16.70/16.93 (assume a10278 (forall ((Uu tptp.real) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_wy 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))))))))
% 16.70/16.93 (assume a10279 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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)))))))
% 16.70/16.93 (assume a10280 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yf Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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))))))))
% 16.70/16.93 (assume a10281 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ym Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10282 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_ul Uu) Uua) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (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))))))
% 16.70/16.93 (assume a10283 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_uk 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))))))
% 16.70/16.93 (assume a10284 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_um Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua))))))
% 16.70/16.93 (assume a10285 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_uj 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))))))
% 16.70/16.93 (assume a10286 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_qc 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))))
% 16.70/16.93 (assume a10287 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_qd Uu) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) Uua))))
% 16.70/16.93 (assume a10288 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_lo 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))))))
% 16.70/16.93 (assume a10289 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lp Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real 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))))))
% 16.70/16.93 (assume a10290 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_rk Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex Uu) Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Uua)))))
% 16.70/16.93 (assume a10291 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_rl Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real Uu) Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)))))
% 16.70/16.93 (assume a10292 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ud Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.70/16.93 (assume a10293 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_le Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua)))))
% 16.70/16.93 (assume a10294 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_zh Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uu)) (tptp.aa_real_real tptp.exp_real Uua)))))
% 16.70/16.93 (assume a10295 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aae 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))))
% 16.70/16.93 (assume a10296 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tj 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))))
% 16.70/16.93 (assume a10297 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ti 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))))
% 16.70/16.93 (assume a10298 (forall ((Uu tptp.nat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_bv Uu) Uua)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uu) tptp.one_one_complex))))
% 16.70/16.93 (assume a10299 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_bu Uu) Uua)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uu) tptp.one_one_real))))
% 16.70/16.93 (assume a10300 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yx Uu) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))) Uua))))
% 16.70/16.93 (assume a10301 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ze Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu) Uua))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) Uua)))))
% 16.70/16.93 (assume a10302 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_zi Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uu) Uua))) Uua))))
% 16.70/16.93 (assume a10303 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ek 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.aa_real_fun_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))))))
% 16.70/16.93 (assume a10304 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_wo Uu) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real Uua) Uu)))))
% 16.70/16.93 (assume a10305 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ok Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex 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_complex 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)))))))
% 16.70/16.93 (assume a10306 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ol 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)))))))
% 16.70/16.93 (assume a10307 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_om 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)))))))
% 16.70/16.93 (assume a10308 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_on 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)))))))
% 16.70/16.93 (assume a10309 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ib Uu) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex 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_complex 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)))))))
% 16.70/16.93 (assume a10310 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ie 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)))))))
% 16.70/16.93 (assume a10311 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_id 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)))))))
% 16.70/16.93 (assume a10312 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_ic 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)))))))
% 16.70/16.93 (assume a10313 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_gy Uu) Uua) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex Uu (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_complex Uu Uua)))))
% 16.70/16.93 (assume a10314 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ha 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)))))
% 16.70/16.93 (assume a10315 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_gz 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)))))
% 16.70/16.93 (assume a10316 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_em 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)))))
% 16.70/16.93 (assume a10317 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_en 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.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) Uua)))))
% 16.70/16.93 (assume a10318 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_fi 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)))))
% 16.70/16.93 (assume a10319 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_hy 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.minus_minus_nat Uua) tptp.one_one_nat))))))
% 16.70/16.93 (assume a10320 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ia 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))))))
% 16.70/16.93 (assume a10321 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_hz 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))))))
% 16.70/16.93 (assume a10322 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_hv 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))))))
% 16.70/16.93 (assume a10323 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_hx 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))))))
% 16.70/16.93 (assume a10324 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_hw 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))))))
% 16.70/16.93 (assume a10325 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_jo 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.suc Uua))))))
% 16.70/16.93 (assume a10326 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_jq 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))))))
% 16.70/16.93 (assume a10327 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_jp 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))))))
% 16.70/16.93 (assume a10328 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_ng Uu) Uua) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat Uu Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.70/16.93 (assume a10329 (forall ((Uu tptp.fun_nat_fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_nj Uu) Uua) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int Uu Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.70/16.93 (assume a10330 (forall ((Uu tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_pm Uu) Uua) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real Uu Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.70/16.93 (assume a10331 (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_pk 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)))))
% 16.70/16.93 (assume a10332 (forall ((Uu tptp.fun_co6496365337113880337d_enat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_op Uu) Uua)) (= (tptp.aa_com3683005661447327866d_enat Uu Uua) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10333 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_or Uu) Uua)) (= (tptp.aa_complex_complex Uu Uua) tptp.one_one_complex))))
% 16.70/16.93 (assume a10334 (forall ((Uu tptp.fun_complex_real) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ot Uu) Uua)) (= (tptp.aa_complex_real Uu Uua) tptp.one_one_real))))
% 16.70/16.93 (assume a10335 (forall ((Uu tptp.fun_complex_nat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ov Uu) Uua)) (= (tptp.aa_complex_nat Uu Uua) tptp.one_one_nat))))
% 16.70/16.93 (assume a10336 (forall ((Uu tptp.fun_complex_int) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ox Uu) Uua)) (= (tptp.aa_complex_int Uu Uua) tptp.one_one_int))))
% 16.70/16.93 (assume a10337 (forall ((Uu tptp.fun_re6065469302365115155d_enat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_oo Uu) Uua)) (= (tptp.aa_rea1194391308913012860d_enat Uu Uua) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10338 (forall ((Uu tptp.fun_real_complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_oq Uu) Uua)) (= (tptp.aa_real_complex Uu Uua) tptp.one_one_complex))))
% 16.70/16.93 (assume a10339 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_os Uu) Uua)) (= (tptp.aa_real_real Uu Uua) tptp.one_one_real))))
% 16.70/16.93 (assume a10340 (forall ((Uu tptp.fun_real_nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ou Uu) Uua)) (= (tptp.aa_real_nat Uu Uua) tptp.one_one_nat))))
% 16.70/16.93 (assume a10341 (forall ((Uu tptp.fun_real_int) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ow Uu) Uua)) (= (tptp.aa_real_int Uu Uua) tptp.one_one_int))))
% 16.70/16.93 (assume a10342 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_zd Uu) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))))))
% 16.70/16.93 (assume a10343 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_zc Uu) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ym 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))))))
% 16.70/16.93 (assume a10344 (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.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))))
% 16.70/16.93 (assume a10345 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_va Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a10346 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_uz Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a10347 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vu Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc Uua)))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.70/16.93 (assume a10348 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vt Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc Uua)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.70/16.93 (assume a10349 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vc Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua)))))
% 16.70/16.93 (assume a10350 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vb Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10351 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_tg Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua)))))
% 16.70/16.93 (assume a10352 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_th Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10353 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ir 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)))))
% 16.70/16.93 (assume a10354 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_iq 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10355 (forall ((Uu tptp.num) (Uua tptp.num)) (= (tptp.aa_num_int (tptp.aTP_Lamm_zt Uu) Uua) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat Uu)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat Uu))) (tptp.aa_num_int tptp.numeral_numeral_int Uua))))))
% 16.70/16.93 (assume a10356 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vq Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uu)) Uua)))))
% 16.70/16.93 (assume a10357 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vp Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real Uu)) Uua)))))
% 16.70/16.93 (assume a10358 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xs 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Uua)) Uu)))))
% 16.70/16.93 (assume a10359 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ve Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua)))))
% 16.70/16.93 (assume a10360 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vd Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10361 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vg Uu) Uua) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua)))))
% 16.70/16.93 (assume a10362 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vf Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10363 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lh 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10364 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lf 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10365 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_lq Uu) Uua) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) Uu))))
% 16.70/16.93 (assume a10366 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_lr Uu) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)) Uu))))
% 16.70/16.93 (assume a10367 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_ec 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)))))
% 16.70/16.93 (assume a10368 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_ed Uu) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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)))))
% 16.70/16.93 (assume a10369 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_dz Uu) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_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)))))
% 16.70/16.93 (assume a10370 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_ea Uu) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uu) (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)))))
% 16.70/16.93 (assume a10371 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_lv 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)))))))
% 16.70/16.93 (assume a10372 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_lu 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)))))))
% 16.70/16.93 (assume a10373 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ui Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu) Uua)))))
% 16.70/16.93 (assume a10374 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yy Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))))
% 16.70/16.93 (assume a10375 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yw Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua))))))))
% 16.70/16.93 (assume a10376 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yt Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))
% 16.70/16.93 (assume a10377 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xq Uu) Uua) (tptp.groups6591440286371151544t_real Uu (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.70/16.93 (assume a10378 (forall ((Uu tptp.code_integer) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_rq Uu) Uua) (tptp.minus_8373710615458151222nteger Uu (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uua)))))
% 16.70/16.93 (assume a10379 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_rp Uu) Uua) (tptp.aa_complex_complex (tptp.minus_minus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)))))
% 16.70/16.93 (assume a10380 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_rr Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 16.70/16.93 (assume a10381 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rs Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 16.70/16.93 (assume a10382 (forall ((Uu tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_rt Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Uu) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 16.70/16.93 (assume a10383 (forall ((Uu tptp.code_integer) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_qn Uu) Uua) (tptp.plus_p5714425477246183910nteger Uu (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uua)))))
% 16.70/16.93 (assume a10384 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_qm Uu) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)))))
% 16.70/16.93 (assume a10385 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ql Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 16.70/16.93 (assume a10386 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_qo 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)))))
% 16.70/16.93 (assume a10387 (forall ((Uu tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_qp 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)))))
% 16.70/16.93 (assume a10388 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_aaq Uu) Uua)) (= Uua (tptp.aa_nat_nat tptp.suc Uu)))))
% 16.70/16.93 (assume a10389 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_nm Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) Uu)))))
% 16.70/16.93 (assume a10390 (forall ((Uu tptp.set_complex) (Uua tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.aTP_Lamm_br Uu) Uua)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex Uua) Uu)))))
% 16.70/16.93 (assume a10391 (forall ((Uu tptp.set_real) (Uua tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.aTP_Lamm_bs Uu) Uua)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real Uua) Uu)))))
% 16.70/16.93 (assume a10392 (forall ((Uu tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_bt Uu) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Uua) Uu)))))
% 16.70/16.93 (assume a10393 (forall ((Uu tptp.num) (Uua tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_nn Uu) Uua)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Uua) Uu)))))
% 16.70/16.93 (assume a10394 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bp Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uu)))))
% 16.70/16.93 (assume a10395 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_no Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uua) Uu)))))
% 16.70/16.93 (assume a10396 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xr Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Uua) Uu))))
% 16.70/16.93 (assume a10397 (forall ((Uu tptp.extended_enat) (Uua tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.aTP_Lamm_iu Uu) Uua)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_Ext291666158496884126t_bool tptp.ord_le72135733267957522d_enat Uua) Uu)))))
% 16.70/16.93 (assume a10398 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ix Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uua) Uu)))))
% 16.70/16.93 (assume a10399 (forall ((Uu tptp.num) (Uua tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_iv Uu) Uua)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Uua) Uu)))))
% 16.70/16.93 (assume a10400 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bq Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu)))))
% 16.70/16.93 (assume a10401 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_iw Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uu)))))
% 16.70/16.93 (assume a10402 (forall ((Uu tptp.complex) (Uua tptp.complex)) (= (tptp.aa_complex_complex (tptp.aTP_Lamm_af Uu) Uua) (tptp.aa_complex_complex (tptp.times_times_complex Uua) Uu))))
% 16.70/16.93 (assume a10403 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ag Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uua) Uu))))
% 16.70/16.93 (assume a10404 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ah Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uu))))
% 16.70/16.93 (assume a10405 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_ai Uu) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uu))))
% 16.70/16.93 (assume a10406 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xp Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uu))))
% 16.70/16.93 (assume a10407 (forall ((Uu tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xt Uu) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uu))))
% 16.70/16.93 (assume a10408 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_aar Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uua) Uu))))
% 16.70/16.93 (assume a10409 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aag Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uu))))
% 16.70/16.93 (assume a10410 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_xv Uu) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Uua) Uu))))
% 16.70/16.93 (assume a10411 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aTP_Lamm_dn Uu) Uua)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.dvd_dvd_Code_integer Uua) Uu)))))
% 16.70/16.93 (assume a10412 (forall ((Uu tptp.complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_dl Uu) Uua)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex Uua) Uu)))))
% 16.70/16.93 (assume a10413 (forall ((Uu tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_do Uu) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real Uua) Uu)))))
% 16.70/16.93 (assume a10414 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_dp Uu) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) Uu)))))
% 16.70/16.93 (assume a10415 (forall ((Uu tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_dm Uu) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) Uu)))))
% 16.70/16.93 (assume a10416 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_xg Uu) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uu))))
% 16.70/16.93 (assume a10417 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tf Uu) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uua) Uu))))
% 16.70/16.93 (assume a10418 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yr Uu) Uua) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root Uua) Uu))))
% 16.70/16.93 (assume a10419 (forall ((Uu tptp.set_Pr1261947904930325089at_nat) (Uua tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aTP_Lamm_aa Uu) Uua)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uua) Uu)))))
% 16.70/16.93 (assume a10420 (forall ((Uu tptp.set_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ab Uu) Uua)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uua) Uu)))))
% 16.70/16.93 (assume a10421 (forall ((Uu tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ac Uu) Uua)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uua) Uu)))))
% 16.70/16.93 (assume a10422 (forall ((Uu tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_ad Uu) Uua)) (tptp.member_list_nat Uua Uu))))
% 16.70/16.93 (assume a10423 (forall ((Uu tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ae Uu) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uua) Uu)))))
% 16.70/16.93 (assume a10424 (forall ((Uu tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_a Uu) Uua)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uua) Uu)))))
% 16.70/16.93 (assume a10425 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_aaz Uu) Uua) (tptp.aa_nat_set_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) Uu))))
% 16.70/16.93 (assume a10426 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_kp 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)))))
% 16.70/16.93 (assume a10427 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ko 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)))))
% 16.70/16.93 (assume a10428 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_fp Uu) Uua) (tptp.aa_nat_complex Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.70/16.93 (assume a10429 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ez Uu) Uua) (tptp.aa_nat_real Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.70/16.93 (assume a10430 (forall ((Uu tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_zm Uu) Uua)) (tptp.pp (tptp.aa_nat_bool Uu (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.70/16.93 (assume a10431 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_gq Uu) Uua) (tptp.aa_nat_nat Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.70/16.93 (assume a10432 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_gx Uu) Uua) (tptp.aa_nat_int Uu (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.70/16.93 (assume a10433 (forall ((Uu tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_aab Uu) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uu Uua))))))
% 16.70/16.93 (assume a10434 (forall ((Uu tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_zx Uu) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uua Uu))))))
% 16.70/16.93 (assume a10435 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_xo Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_xn Uu) Uua)))))
% 16.70/16.93 (assume a10436 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_xm Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_xl Uu) Uua)))))
% 16.70/16.93 (assume a10437 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_xk Uu) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_xj Uu) Uua)))))
% 16.70/16.93 (assume a10438 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_xi Uu) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_xh Uu) Uua)))))
% 16.70/16.93 (assume a10439 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_xf Uu) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_xe Uu) Uua)))))
% 16.70/16.93 (assume a10440 (forall ((Uu tptp.fun_nat_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_yi Uu) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yh Uu) Uua)))))
% 16.70/16.93 (assume a10441 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_wb 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))))))
% 16.70/16.93 (assume a10442 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_zj Uu) Uua)) (not (= (tptp.aa_real_real Uu Uua) tptp.zero_zero_real)))))
% 16.70/16.93 (assume a10443 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_vm Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua))))))
% 16.70/16.93 (assume a10444 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vl Uu) Uua) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua))))))
% 16.70/16.93 (assume a10445 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_dq Uu) Uua)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))))
% 16.70/16.93 (assume a10446 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vo Uu) Uua) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uu)) Uua))))))
% 16.70/16.93 (assume a10447 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vn Uu) Uua) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real Uu)) Uua))))))
% 16.70/16.93 (assume a10448 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_vi Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua))))))
% 16.70/16.93 (assume a10449 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vh Uu) Uua) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua))))))
% 16.70/16.93 (assume a10450 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_vk Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uua))))))
% 16.70/16.93 (assume a10451 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_vj Uu) Uua) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua))))))
% 16.70/16.93 (assume a10452 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_ls Uu) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 16.70/16.93 (assume a10453 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_lt 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))))))
% 16.70/16.93 (assume a10454 (forall ((Uu tptp.code_integer) (Uua tptp.nat)) (= (tptp.aa_nat6383147911832638789nteger (tptp.aTP_Lamm_ma Uu) Uua) (tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger Uu (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uua))))))
% 16.70/16.93 (assume a10455 (forall ((Uu tptp.extended_enat) (Uua tptp.nat)) (= (tptp.aa_nat9102221060835343569d_enat (tptp.aTP_Lamm_lw Uu) Uua) (tptp.times_7803423173614009249d_enat (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat Uu) (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uua))))))
% 16.70/16.93 (assume a10456 (forall ((Uu tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_lz Uu) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 16.70/16.93 (assume a10457 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_lx 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))))))
% 16.70/16.93 (assume a10458 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mb 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))))))
% 16.70/16.93 (assume a10459 (forall ((Uu tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_ly 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))))))
% 16.70/16.93 (assume a10460 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_aap 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)))))
% 16.70/16.93 (assume a10461 (forall ((Uu tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_yv Uu) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uua)))))
% 16.70/16.93 (assume a10462 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aas Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uu) Uua)))))
% 16.70/16.93 (assume a10463 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aat Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uua) Uu)))))
% 16.70/16.93 (assume a10464 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xc Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uu) Uua)))))
% 16.70/16.93 (assume a10465 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_xb Uu) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uua) Uu)))))
% 16.70/16.93 (assume a10466 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.complex)) (= (tptp.aa_complex_real (tptp.aTP_Lamm_fw Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex Uu Uua)))))
% 16.70/16.93 (assume a10467 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_fn Uu) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex Uu Uua)))))
% 16.70/16.93 (assume a10468 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_fq Uu) Uua) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10469 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yp Uu) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10470 (forall ((Uu tptp.fun_Pr672294278902479040t_real) (Uua tptp.product_prod_nat_nat)) (= (tptp.aa_Pro6168199777849092593t_real (tptp.aTP_Lamm_tm Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_Pro6168199777849092593t_real Uu Uua)))))
% 16.70/16.93 (assume a10471 (forall ((Uu tptp.fun_complex_real) (Uua tptp.complex)) (= (tptp.aa_complex_real (tptp.aTP_Lamm_tn Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_complex_real Uu Uua)))))
% 16.70/16.93 (assume a10472 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_tk Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real Uu Uua)))))
% 16.70/16.93 (assume a10473 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_to Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10474 (forall ((Uu tptp.fun_int_real) (Uua tptp.int)) (= (tptp.aa_int_real (tptp.aTP_Lamm_tl Uu) Uua) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_int_real Uu Uua)))))
% 16.70/16.93 (assume a10475 (forall ((Uu tptp.fun_na8797796813480665199d_enat) (Uua tptp.nat)) (= (tptp.aa_nat9102221060835343569d_enat (tptp.aTP_Lamm_np Uu) Uua) (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat Uu Uua)))))
% 16.70/16.93 (assume a10476 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_nq Uu) Uua) (tptp.times_times_complex (tptp.aa_nat_complex Uu Uua)))))
% 16.70/16.93 (assume a10477 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_nr Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10478 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ns Uu) Uua) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uua)))))
% 16.70/16.93 (assume a10479 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_nt Uu) Uua) (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu Uua)))))
% 16.70/16.93 (assume a10480 (forall ((Uu tptp.fun_na8797796813480665199d_enat) (Uua tptp.nat)) (= (tptp.aa_nat9102221060835343569d_enat (tptp.aTP_Lamm_rb Uu) Uua) (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat Uu Uua)))))
% 16.70/16.93 (assume a10481 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_rc Uu) Uua) (tptp.plus_plus_complex (tptp.aa_nat_complex Uu Uua)))))
% 16.70/16.93 (assume a10482 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_rf Uu) Uua) (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10483 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_re Uu) Uua) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu Uua)))))
% 16.70/16.93 (assume a10484 (forall ((Uu tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_rd Uu) Uua) (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu Uua)))))
% 16.70/16.93 (assume a10485 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_zs Uu) Uua) (tptp.aa_real_real tptp.artanh_real (tptp.aa_real_real Uu Uua)))))
% 16.70/16.93 (assume a10486 (forall ((Uu tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_zr Uu) Uua) (tptp.aa_real_real tptp.arcosh_real (tptp.aa_real_real Uu Uua)))))
% 16.70/16.93 (assume a10487 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_fo Uu) Uua) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10488 (forall ((Uu tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_ft Uu) Uua) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int Uu Uua)))))
% 16.70/16.93 (assume a10489 (forall ((Uu tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_zb Uu) Uua) (tptp.aa_real_real tptp.cos_real (tptp.aa_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10490 (forall ((Uu tptp.fun_re4238438383274954274t_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_yk Uu) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real Uu Uua)))))
% 16.70/16.93 (assume a10491 (forall ((Uu tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_aay Uu) Uua) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bq Uu)))))
% 16.70/16.93 (assume a10492 (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_km 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 Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.70/16.93 (assume a10493 (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_kn 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)))))
% 16.70/16.93 (assume a10494 (forall ((Uu tptp.num) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_dt Uu) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger Uu)) Uub) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (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.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uub)))))
% 16.70/16.93 (assume a10495 (forall ((Uu tptp.num) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aTP_Lamm_dr Uu) Uua) Uub) (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (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)))))
% 16.70/16.93 (assume a10496 (forall ((Uu tptp.num) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_ds Uu) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (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.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int 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)))))
% 16.70/16.93 (assume a10497 (forall ((Uu tptp.complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_mi Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uu) Uub) (tptp.aa_com3683005661447327866d_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10498 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mm 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))))
% 16.70/16.93 (assume a10499 (forall ((Uu tptp.real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mf Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uu) Uub) (tptp.aa_rea1194391308913012860d_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10500 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mj 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))))
% 16.70/16.93 (assume a10501 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mn 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))))
% 16.70/16.93 (assume a10502 (forall ((Uu tptp.nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mh Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uu) Uub) (tptp.aa_nat_Extended_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10503 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ml 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))))
% 16.70/16.93 (assume a10504 (forall ((Uu tptp.int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mg Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu) Uub) (tptp.aa_int_Extended_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10505 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mk 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))))
% 16.70/16.93 (assume a10506 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_mo 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))))
% 16.70/16.93 (assume a10507 (forall ((Uu tptp.complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_ms Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uub) Uu) (tptp.aa_com3683005661447327866d_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10508 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_mw 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))))
% 16.70/16.93 (assume a10509 (forall ((Uu tptp.real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_mp Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uub) Uu) (tptp.aa_rea1194391308913012860d_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10510 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_mt 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))))
% 16.70/16.93 (assume a10511 (forall ((Uu tptp.real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_mx 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))))
% 16.70/16.93 (assume a10512 (forall ((Uu tptp.nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aTP_Lamm_mr Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu) (tptp.aa_nat_Extended_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10513 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_mv 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))))
% 16.70/16.93 (assume a10514 (forall ((Uu tptp.int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_mq Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uub) Uu) (tptp.aa_int_Extended_enat Uua Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10515 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aTP_Lamm_mu 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))))
% 16.70/16.93 (assume a10516 (forall ((Uu tptp.int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_my 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))))
% 16.70/16.93 (assume a10517 (forall ((Uu tptp.fun_co6496365337113880337d_enat) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun7453881840834182155d_enat (tptp.aTP_Lamm_nx Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_complex_bool Uua Uub) (tptp.aa_com3683005661447327866d_enat Uu Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10518 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun1034237174562290143omplex (tptp.aTP_Lamm_ob 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))))
% 16.70/16.93 (assume a10519 (forall ((Uu tptp.fun_re6065469302365115155d_enat) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun1796798883024094219d_enat (tptp.aTP_Lamm_nv Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_real_bool Uua Uub) (tptp.aa_rea1194391308913012860d_enat Uu Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10520 (forall ((Uu tptp.fun_real_complex) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun6813637976755515871omplex (tptp.aTP_Lamm_nz 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))))
% 16.70/16.93 (assume a10521 (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_od 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))))
% 16.70/16.93 (assume a10522 (forall ((Uu tptp.fun_na8797796813480665199d_enat) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun4338695687555673483d_enat (tptp.aTP_Lamm_nw Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool Uua Uub) (tptp.aa_nat_Extended_enat Uu Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10523 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun8588439219086927967omplex (tptp.aTP_Lamm_oa 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))))
% 16.70/16.93 (assume a10524 (forall ((Uu tptp.fun_in5914218760682845459d_enat) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun8298856528004841099d_enat (tptp.aTP_Lamm_nu Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_int_bool Uua Uub) (tptp.aa_int_Extended_enat Uu Uub)) tptp.one_on7984719198319812577d_enat))))
% 16.70/16.93 (assume a10525 (forall ((Uu tptp.fun_int_complex) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3606824691168040799omplex (tptp.aTP_Lamm_ny 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))))
% 16.70/16.93 (assume a10526 (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_oc 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))))
% 16.70/16.93 (assume a10527 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_zk Uu) Uua) Uub)) (tptp.has_fi5821293074295781190e_real Uu (tptp.aa_real_real Uua Uub) (tptp.topolo2177554685111907308n_real Uub tptp.top_top_set_real)))))
% 16.70/16.93 (assume a10528 (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_qh 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)))))
% 16.70/16.93 (assume a10529 (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_qf 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)))))
% 16.70/16.93 (assume a10530 (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_ts 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)))))
% 16.70/16.93 (assume a10531 (forall ((Uu tptp.fun_re4238438383274954274t_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_yj Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real Uu Uub) Uua))))
% 16.70/16.93 (assume a10532 (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_pn Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uu Uub) Uua))))
% 16.70/16.93 (assume a10533 (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_nh Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uu Uub) Uua))))
% 16.70/16.93 (assume a10534 (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_nk Uu) Uua) Uub) (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int Uu Uub) Uua))))
% 16.70/16.93 (assume a10535 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uy Uu) Uua) Uub) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_ux Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10536 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_uw Uu) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_uv Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10537 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uu Uu) Uua) Uub) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_ut Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10538 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_us Uu) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ur Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10539 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_uq Uu) Uua) Uub) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_up Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10540 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_uo Uu) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_un Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10541 (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_ra Uu) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_qz Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10542 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_qy Uu) Uua) Uub) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_qx Uu) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uub)))))
% 16.70/16.93 (assume a10543 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_jh 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)))))
% 16.70/16.93 (assume a10544 (forall ((Uu tptp.nat) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ji 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10545 (forall ((Uu tptp.nat) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_jj 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)))))
% 16.70/16.93 (assume a10546 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod2825494507867081354r_bool (tptp.aa_Cod4981436349852597092r_bool (tptp.aTP_Lamm_xd Uu) Uua) Uub) (tptp.produc5135875973608410785r_bool (tptp.if_Code_integer (tptp.aa_Code_integer_bool (tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) Uu) Uua (tptp.minus_8373710615458151222nteger (tptp.uminus1351360451143612070nteger Uua) Uub)) (tptp.aa_Code_integer_bool (tptp.fequal_Code_integer Uub) tptp.one_one_Code_integer)))))
% 16.70/16.93 (assume a10547 (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_nl Uu) Uua) Uub) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_nk Uu) Uub) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.70/16.93 (assume a10548 (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_ni Uu) Uua) Uub) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nh Uu) Uub) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.70/16.93 (assume a10549 (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_po Uu) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_pn Uu) Uub) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.70/16.93 (assume a10550 (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_pl Uu) Uua) Uub) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nh Uu) Uub)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.70/16.93 (assume a10551 (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_xy 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10552 (forall ((Uu tptp.real) (Uua tptp.fun_na2978037997607195054t_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun2748096013305118955t_real (tptp.aTP_Lamm_kw 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_Ext2541572767299617110t_real (tptp.aa_nat6736956760766371991t_real Uua Uub) tptp.zero_z5237406670263579293d_enat)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10553 (forall ((Uu tptp.real) (Uua tptp.fun_na5723442673449079972x_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun5746040925223427547t_real (tptp.aTP_Lamm_kx 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_complex_real (tptp.aa_nat480766339200631653x_real Uua Uub) tptp.zero_zero_complex)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10554 (forall ((Uu tptp.real) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ky 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10555 (forall ((Uu tptp.real) (Uua tptp.fun_nat_fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7039663905532832253t_real (tptp.aTP_Lamm_kz 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 (tptp.aa_nat_fun_nat_real Uua Uub) tptp.zero_zero_nat)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10556 (forall ((Uu tptp.real) (Uua tptp.fun_nat_fun_int_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun241848180832411225t_real (tptp.aTP_Lamm_la 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_int_real (tptp.aa_nat_fun_int_real Uua Uub) tptp.zero_zero_int)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10557 (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_qj Uu) Uua) Uub)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg Uu) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a10558 (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_qk Uu) Uua) Uub)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_fe Uu) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_real))))
% 16.70/16.93 (assume a10559 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_fu 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)))))
% 16.70/16.93 (assume a10560 (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_fv 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.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) Uub))) (tptp.aa_nat_real Uua Uub)))))
% 16.70/16.93 (assume a10561 (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_yg 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10562 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_lb 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10563 (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_aaj 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)))))
% 16.70/16.93 (assume a10564 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ku 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)))))))
% 16.70/16.93 (assume a10565 (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_ks 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.aa_real_fun_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)))))))
% 16.70/16.93 (assume a10566 (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_aak 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)))))
% 16.70/16.93 (assume a10567 (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_bk Uu) Uua) Uub)) (and (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))))))
% 16.70/16.93 (assume a10568 (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_bj 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))))))
% 16.70/16.93 (assume a10569 (forall ((Uu tptp.set_real) (Uua tptp.nat) (Uub tptp.list_real)) (= (tptp.pp (tptp.aa_list_real_bool (tptp.aa_nat4570152432052498854l_bool (tptp.aTP_Lamm_bn Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Uub)) Uu)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_real Uub)) Uua))))))
% 16.70/16.93 (assume a10570 (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_bl 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))))))
% 16.70/16.93 (assume a10571 (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_bo Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_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))))))
% 16.70/16.93 (assume a10572 (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_bm 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))))))
% 16.70/16.93 (assume a10573 (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_be Uu) Uua) Uub)) (and (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Uub) Uu) (= (tptp.size_s6755466524823107622T_VEBT Uub) Uua)))))
% 16.70/16.93 (assume a10574 (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_bd Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Uub)) Uu)) (= (tptp.size_s3451745648224563538omplex Uub) Uua)))))
% 16.70/16.93 (assume a10575 (forall ((Uu tptp.set_real) (Uua tptp.nat) (Uub tptp.list_real)) (= (tptp.pp (tptp.aa_list_real_bool (tptp.aa_nat4570152432052498854l_bool (tptp.aTP_Lamm_bh Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Uub)) Uu)) (= (tptp.size_size_list_real Uub) Uua)))))
% 16.70/16.93 (assume a10576 (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_bf Uu) Uua) Uub)) (and (tptp.ord_less_eq_set_bool (tptp.set_bool2 Uub) Uu) (= (tptp.size_size_list_bool Uub) Uua)))))
% 16.70/16.93 (assume a10577 (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_bi Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Uub)) Uu)) (= (tptp.size_size_list_nat Uub) Uua)))))
% 16.70/16.93 (assume a10578 (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_bg 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)))))
% 16.70/16.93 (assume a10579 (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_aai Uu) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 16.70/16.93 (assume a10580 (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_ww 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))))))
% 16.70/16.93 (assume a10581 (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_aax 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))))))
% 16.70/16.93 (assume a10582 (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_wx 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)))))))
% 16.70/16.93 (assume a10583 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_kt 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)))))
% 16.70/16.93 (assume a10584 (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_kr 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10585 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ld 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)))))
% 16.70/16.93 (assume a10586 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_lc 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10587 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_tp 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)))))
% 16.70/16.93 (assume a10588 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ao Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Uu) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uub))))))
% 16.70/16.93 (assume a10589 (forall ((Uu tptp.vEBT_VEBT) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ap Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Uu) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 16.70/16.93 (assume a10590 (forall ((Uu tptp.set_Pr1261947904930325089at_nat) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_aw Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uu)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.70/16.93 (assume a10591 (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_ax Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.70/16.93 (assume a10592 (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_az Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 16.70/16.93 (assume a10593 (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_ay Uu) Uua) Uub)) (and (tptp.member_list_nat Uub Uu) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.70/16.93 (assume a10594 (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_ba Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.70/16.93 (assume a10595 (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_av Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 16.70/16.93 (assume a10596 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cw Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_com3683005661447327866d_enat Uua Uub) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.93 (assume a10597 (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_de 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))))))
% 16.70/16.93 (assume a10598 (forall ((Uu tptp.set_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_cs Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_rea1194391308913012860d_enat Uua Uub) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.93 (assume a10599 (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_da 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))))))
% 16.70/16.93 (assume a10600 (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_di 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))))))
% 16.70/16.93 (assume a10601 (forall ((Uu tptp.set_nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_cu Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_Extended_enat Uua Uub) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.93 (assume a10602 (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_dc 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))))))
% 16.70/16.93 (assume a10603 (forall ((Uu tptp.set_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_cq Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_Extended_enat Uua Uub) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.93 (assume a10604 (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_cy 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))))))
% 16.70/16.93 (assume a10605 (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_dg 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))))))
% 16.70/16.93 (assume a10606 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun188178923259853101x_bool (tptp.aTP_Lamm_cc Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu)) (not (= (tptp.aa_com3683005661447327866d_enat Uua Uub) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.93 (assume a10607 (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_ck 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))))))
% 16.70/16.93 (assume a10608 (forall ((Uu tptp.set_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6946925781749317805l_bool (tptp.aTP_Lamm_by Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu)) (not (= (tptp.aa_rea1194391308913012860d_enat Uua Uub) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.93 (assume a10609 (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_cg 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))))))
% 16.70/16.93 (assume a10610 (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_co 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))))))
% 16.70/16.93 (assume a10611 (forall ((Uu tptp.set_nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun768124332470527661t_bool (tptp.aTP_Lamm_ca Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu)) (not (= (tptp.aa_nat_Extended_enat Uua Uub) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.93 (assume a10612 (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_ci 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))))))
% 16.70/16.93 (assume a10613 (forall ((Uu tptp.set_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun4487572259248890797t_bool (tptp.aTP_Lamm_bw Uu) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu)) (not (= (tptp.aa_int_Extended_enat Uua Uub) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.93 (assume a10614 (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_ce 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))))))
% 16.70/16.93 (assume a10615 (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_cm 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))))))
% 16.70/16.93 (assume a10616 (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_aaw 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)))))
% 16.70/16.93 (assume a10617 (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_qe 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)))))
% 16.70/16.93 (assume a10618 (forall ((Uu tptp.real) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_aan 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)))))
% 16.70/16.93 (assume a10619 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_aal 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)))))
% 16.70/16.93 (assume a10620 (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_qw 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)))))
% 16.70/16.93 (assume a10621 (forall ((Uu tptp.nat) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_dk Uu) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uu) Uua))))
% 16.70/16.93 (assume a10622 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_wr Uu) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uua) Uu))))
% 16.70/16.93 (assume a10623 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fj 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)))))
% 16.70/16.93 (assume a10624 (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_fk 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10625 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_za Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int Uua Uub))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))
% 16.70/16.93 (assume a10626 (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_yh 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.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.70/16.93 (assume a10627 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fg 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)))))
% 16.70/16.93 (assume a10628 (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_fe 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 16.70/16.93 (assume a10629 (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_rm 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)))))
% 16.70/16.93 (assume a10630 (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_qq 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)))))
% 16.70/16.93 (assume a10631 (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_bb 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))))))
% 16.70/16.93 (assume a10632 (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_zq Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real Uu Uub)) (tptp.aa_real_real Uua Uub)))))
% 16.70/16.93 (assume a10633 (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_zl Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real Uua Uub)) (tptp.aa_real_real Uu Uub)))))
% 16.70/16.93 (assume a10634 (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_mz 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)))))
% 16.70/16.93 (assume a10635 (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_na 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 Uua Uub)))))
% 16.70/16.93 (assume a10636 (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_nb Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int Uu Uub)) (tptp.aa_int_int Uua Uub)))))
% 16.70/16.93 (assume a10637 (forall ((Uu tptp.fun_Pr672294278902479040t_real) (Uua tptp.fun_Pr672294278902479040t_real) (Uub tptp.product_prod_nat_nat)) (= (tptp.aa_Pro6168199777849092593t_real (tptp.aa_fun8712866722335801276t_real (tptp.aTP_Lamm_ho Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_Pro6168199777849092593t_real Uua Uub)) (tptp.aa_Pro6168199777849092593t_real Uu Uub)))))
% 16.70/16.93 (assume a10638 (forall ((Uu tptp.fun_Pr7647638413817135296at_int) (Uua tptp.fun_Pr7647638413817135296at_int) (Uub tptp.product_prod_nat_nat)) (= (tptp.aa_Pro4240683299535347697at_int (tptp.aa_fun5318087603999652924at_int (tptp.aTP_Lamm_hs Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_Pro4240683299535347697at_int Uua Uub)) (tptp.aa_Pro4240683299535347697at_int Uu Uub)))))
% 16.70/16.93 (assume a10639 (forall ((Uu tptp.fun_complex_real) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_hn Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real Uua Uub)) (tptp.aa_complex_real Uu Uub)))))
% 16.70/16.93 (assume a10640 (forall ((Uu tptp.fun_complex_int) (Uua tptp.fun_complex_int) (Uub tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aTP_Lamm_hr Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_complex_int Uua Uub)) (tptp.aa_complex_int Uu Uub)))))
% 16.70/16.93 (assume a10641 (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_hl 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)))))
% 16.70/16.93 (assume a10642 (forall ((Uu tptp.fun_real_int) (Uua tptp.fun_real_int) (Uub tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun8270430325945277160al_int (tptp.aTP_Lamm_hq Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int Uua Uub)) (tptp.aa_real_int Uu Uub)))))
% 16.70/16.93 (assume a10643 (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_ht Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uua Uub)) (tptp.aa_nat_real Uu Uub)))))
% 16.70/16.93 (assume a10644 (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_hp Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uua Uub)) (tptp.aa_nat_int Uu Uub)))))
% 16.70/16.93 (assume a10645 (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_hm 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)))))
% 16.70/16.93 (assume a10646 (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_hu Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int Uua Uub)) (tptp.aa_int_int Uu Uub)))))
% 16.70/16.93 (assume a10647 (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_yo Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real Uua Uub)))))
% 16.70/16.93 (assume a10648 (forall ((Uu tptp.fun_Pr2602117396471556196at_nat) (Uua tptp.fun_Pr2602117396471556196at_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.aa_fun2351638177499875132at_nat (tptp.aTP_Lamm_jc Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_Pro4243173770044397973at_nat Uua Uub)) (tptp.aa_Pro4243173770044397973at_nat Uu Uub)))))
% 16.70/16.93 (assume a10649 (forall ((Uu tptp.fun_complex_nat) (Uua tptp.fun_complex_nat) (Uub tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aTP_Lamm_jb Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_complex_nat Uua Uub)) (tptp.aa_complex_nat Uu Uub)))))
% 16.70/16.93 (assume a10650 (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_is 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)))))
% 16.70/16.93 (assume a10651 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_jk Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex Uua Uub)) (tptp.aa_nat_complex Uu Uub)))))
% 16.70/16.93 (assume a10652 (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_jm 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)))))
% 16.70/16.93 (assume a10653 (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_it 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)))))
% 16.70/16.93 (assume a10654 (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_ja 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)))))
% 16.70/16.93 (assume a10655 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_gl Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex Uu Uub)) (tptp.aa_complex_complex Uua Uub)))))
% 16.70/16.93 (assume a10656 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ev Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex Uu Uub)) (tptp.aa_nat_complex Uua Uub)))))
% 16.70/16.93 (assume a10657 (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_ew 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)))))
% 16.70/16.93 (assume a10658 (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_ex 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)))))
% 16.70/16.93 (assume a10659 (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_ey 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)))))
% 16.70/16.93 (assume a10660 (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_gm 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)))))
% 16.70/16.93 (assume a10661 (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_xx 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)))))
% 16.70/16.93 (assume a10662 (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_bc 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)))))
% 16.70/16.93 (assume a10663 (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_go Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat Uu Uub)) Uua))))
% 16.70/16.93 (assume a10664 (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_nf Uu) Uua) Uub) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_nat_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10665 (forall ((Uu tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_gp Uu) Uua) Uub) (tptp.aa_int_int (tptp.modulo_modulo_int (tptp.aa_int_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10666 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_com3342990543769683525omplex (tptp.aTP_Lamm_gn Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex Uu Uub)) Uua))))
% 16.70/16.93 (assume a10667 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_eu Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex Uu Uub)) Uua))))
% 16.70/16.93 (assume a10668 (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_et Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real Uu Uub)) Uua))))
% 16.70/16.93 (assume a10669 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_com3342990543769683525omplex (tptp.aTP_Lamm_gg Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex Uu Uub)) Uua))))
% 16.70/16.93 (assume a10670 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fc Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu Uub)) Uua))))
% 16.70/16.93 (assume a10671 (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_fd Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uub)) Uua))))
% 16.70/16.93 (assume a10672 (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_gf Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu Uub)) Uua))))
% 16.70/16.93 (assume a10673 (forall ((Uu tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_gh Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10674 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_iy Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uua Uub)) Uu))))
% 16.70/16.93 (assume a10675 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_iz Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uua Uub)) Uu))))
% 16.70/16.93 (assume a10676 (forall ((Uu tptp.fun_nat_Code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_jt Uu) Uua) Uub) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer Uu Uub) Uua))))
% 16.70/16.93 (assume a10677 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_js Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex Uu Uub)) Uua))))
% 16.70/16.93 (assume a10678 (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_ju Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uub)) Uua))))
% 16.70/16.93 (assume a10679 (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_jr Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10680 (forall ((Uu tptp.fun_real_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_xu Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real Uu Uub)) Uua))))
% 16.70/16.93 (assume a10681 (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_nc Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat Uu Uub)) Uua))))
% 16.70/16.93 (assume a10682 (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_nd Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10683 (forall ((Uu tptp.fun_int_int) (Uua tptp.nat) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_ne Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int Uu Uub)) Uua))))
% 16.70/16.93 (assume a10684 (forall ((Uu tptp.nat) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_zf Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real Uua Uub)) Uu))))
% 16.70/16.93 (assume a10685 (forall ((Uu tptp.fun_real_real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_xw Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real Uu Uub)) Uua))))
% 16.70/16.93 (assume a10686 (forall ((Uu tptp.real) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_fs 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10687 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_vw Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 16.70/16.93 (assume a10688 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_vv Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 16.70/16.93 (assume a10689 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_ii Uu) Uua) Uub) (tptp.plus_p5714425477246183910nteger Uu (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uub)) Uua)))))
% 16.70/16.93 (assume a10690 (forall ((Uu tptp.extended_enat) (Uua tptp.extended_enat) (Uub tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_Ext1337733060012393797d_enat (tptp.aTP_Lamm_if Uu) Uua) Uub) (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat Uu) (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat tptp.semiri4216267220026989637d_enat Uub)) Uua)))))
% 16.70/16.93 (assume a10691 (forall ((Uu tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ih 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)))))
% 16.70/16.93 (assume a10692 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ik 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)))))
% 16.70/16.93 (assume a10693 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_ij 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)))))
% 16.70/16.93 (assume a10694 (forall ((Uu tptp.int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_ig 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)))))
% 16.70/16.93 (assume a10695 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ki 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))))))
% 16.70/16.93 (assume a10696 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_kk Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_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))))))
% 16.70/16.93 (assume a10697 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_kj 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))))))
% 16.70/16.93 (assume a10698 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_yu Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10699 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_gs 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)))))
% 16.70/16.93 (assume a10700 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_gu Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.70/16.93 (assume a10701 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_gt 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)))))
% 16.70/16.93 (assume a10702 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_il 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)))))
% 16.70/16.93 (assume a10703 (forall ((Uu tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_zo Uu) Uua) Uub)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) (tptp.set_or1633881224788618240n_real Uu Uua))))))
% 16.70/16.93 (assume a10704 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_gj Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex Uu) (tptp.aa_complex_complex Uua Uub)))))
% 16.70/16.93 (assume a10705 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_er Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex Uu) (tptp.aa_nat_complex Uua Uub)))))
% 16.70/16.93 (assume a10706 (forall ((Uu tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu) (tptp.aa_nat_real Uua Uub)))))
% 16.70/16.93 (assume a10707 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_gi Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu) (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10708 (forall ((Uu tptp.int) (Uua tptp.fun_int_int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_gk Uu) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu) (tptp.aa_int_int Uua Uub)))))
% 16.70/16.93 (assume a10709 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_fa Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex Uua) (tptp.aa_nat_complex Uu Uub)))))
% 16.70/16.93 (assume a10710 (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_fb Uu) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uua) (tptp.aa_nat_real Uu Uub)))))
% 16.70/16.93 (assume a10711 (forall ((Uu tptp.complex) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun1958354139826840918omplex (tptp.aTP_Lamm_of Uu) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu) (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10712 (forall ((Uu tptp.real) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_oe Uu) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10713 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_og Uu) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu) (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10714 (forall ((Uu tptp.int) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun1613598493704395220at_int (tptp.aTP_Lamm_oh Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu) (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10715 (forall ((Uu tptp.int) (Uua tptp.fun_int_nat) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun2328901131235339916nt_int (tptp.aTP_Lamm_oi Uu) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu) (tptp.aa_int_nat Uua Uub)))))
% 16.70/16.93 (assume a10716 (forall ((Uu tptp.code_integer) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_nat2010205248571845816nteger (tptp.aTP_Lamm_qt Uu) Uua) Uub) (tptp.plus_p5714425477246183910nteger Uu (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.70/16.93 (assume a10717 (forall ((Uu tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_qs Uu) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.70/16.93 (assume a10718 (forall ((Uu tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_qr 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))))))
% 16.70/16.93 (assume a10719 (forall ((Uu tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qu 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))))))
% 16.70/16.93 (assume a10720 (forall ((Uu tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qv 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))))))
% 16.70/16.93 (assume a10721 (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_jg 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))))))
% 16.70/16.93 (assume a10722 (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_jf 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))))))
% 16.70/16.93 (assume a10723 (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_oy 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))))))
% 16.70/16.93 (assume a10724 (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_zp Uu) Uua) Uub)) (tptp.pp (tptp.aa_real_bool Uu (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uua))))))
% 16.70/16.93 (assume a10725 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_fr Uu) Uua) Uub) (tptp.aa_nat_complex Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.70/16.93 (assume a10726 (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_eq Uu) Uua) Uub) (tptp.aa_nat_real Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.70/16.93 (assume a10727 (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_zn 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))))))
% 16.70/16.93 (assume a10728 (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_gr Uu) Uua) Uub) (tptp.aa_nat_nat Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.70/16.93 (assume a10729 (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_oj Uu) Uua) Uub) (tptp.aa_nat_int Uu (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.70/16.93 (assume a10730 (forall ((Uu tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_du Uu) Uua) Uub)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub))))))
% 16.70/16.93 (assume a10731 (forall ((Uu tptp.fun_Pr2602117396471556196at_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_dv Uu) Uua) Uub) (tptp.aa_Pro4243173770044397973at_nat Uu (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.70/16.93 (assume a10732 (forall ((Uu tptp.fun_Pr2477239776880934807at_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat (tptp.aTP_Lamm_dw Uu) Uua) Uub) (tptp.aa_Pro8023792847356852296at_nat Uu (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.70/16.93 (assume a10733 (forall ((Uu tptp.fun_Pr248683899324676269t_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool (tptp.aTP_Lamm_dx Uu) Uua) Uub) (tptp.aa_Pro595088089689268830t_bool Uu (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.70/16.93 (assume a10734 (forall ((Uu tptp.fun_Pr2478283820680522243nt_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_dy Uu) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int Uu (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uua) Uub)))))
% 16.70/16.93 (assume a10735 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_jd Uu) Uua) Uub) (tptp.aa_nat_complex Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uu)))))
% 16.70/16.93 (assume a10736 (forall ((Uu tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_je Uu) Uua) Uub) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uu)))))
% 16.70/16.93 (assume a10737 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_aaf Uu) Uua) Uub) (tptp.aa_nat_real Uu (tptp.aa_nat_nat Uua Uub)))))
% 16.70/16.93 (assume a10738 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun4954905782667315452d_enat (tptp.aTP_Lamm_wm Uu) Uua) Uub) (tptp.aa_com3683005661447327866d_enat Uua (tptp.aa_complex_complex Uu Uub)))))
% 16.70/16.93 (assume a10739 (forall ((Uu tptp.fun_complex_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun5755666433777612538d_enat (tptp.aTP_Lamm_wk Uu) Uua) Uub) (tptp.aa_rea1194391308913012860d_enat Uua (tptp.aa_complex_real Uu Uub)))))
% 16.70/16.93 (assume a10740 (forall ((Uu tptp.fun_complex_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.complex)) (= (tptp.aa_com3683005661447327866d_enat (tptp.aa_fun8227683481367221114d_enat (tptp.aTP_Lamm_wl Uu) Uua) Uub) (tptp.aa_int_Extended_enat Uua (tptp.aa_complex_int Uu Uub)))))
% 16.70/16.93 (assume a10741 (forall ((Uu tptp.fun_real_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun5529042928064808318d_enat (tptp.aTP_Lamm_wi Uu) Uua) Uub) (tptp.aa_com3683005661447327866d_enat Uua (tptp.aa_real_complex Uu Uub)))))
% 16.70/16.93 (assume a10742 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun5685546437070344316d_enat (tptp.aTP_Lamm_we Uu) Uua) Uub) (tptp.aa_rea1194391308913012860d_enat Uua (tptp.aa_real_real Uu Uub)))))
% 16.70/16.93 (assume a10743 (forall ((Uu tptp.fun_real_real) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aTP_Lamm_wn Uu) Uua) Uub) (tptp.aa_real_complex Uua (tptp.aa_real_real Uu Uub)))))
% 16.70/16.93 (assume a10744 (forall ((Uu tptp.fun_real_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.real)) (= (tptp.aa_rea1194391308913012860d_enat (tptp.aa_fun7899819850372836604d_enat (tptp.aTP_Lamm_wf Uu) Uua) Uub) (tptp.aa_int_Extended_enat Uua (tptp.aa_real_int Uu Uub)))))
% 16.70/16.93 (assume a10745 (forall ((Uu tptp.fun_int_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun129233795228691710d_enat (tptp.aTP_Lamm_wj Uu) Uua) Uub) (tptp.aa_com3683005661447327866d_enat Uua (tptp.aa_int_complex Uu Uub)))))
% 16.70/16.93 (assume a10746 (forall ((Uu tptp.fun_int_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun222539811169670908d_enat (tptp.aTP_Lamm_wg Uu) Uua) Uub) (tptp.aa_rea1194391308913012860d_enat Uua (tptp.aa_int_real Uu Uub)))))
% 16.70/16.93 (assume a10747 (forall ((Uu tptp.fun_int_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.int)) (= (tptp.aa_int_Extended_enat (tptp.aa_fun837904005325222780d_enat (tptp.aTP_Lamm_wh Uu) Uua) Uub) (tptp.aa_int_Extended_enat Uua (tptp.aa_int_int Uu Uub)))))
% 16.70/16.93 (assume a10748 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_fh 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))))))
% 16.70/16.93 (assume a10749 (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_ff 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uub))))))
% 16.70/16.93 (assume a10750 (forall ((Uu tptp.fun_Pr4050773816208733250omplex) (Uua tptp.fun_Pr4050773816208733250omplex) (Uub tptp.product_prod_nat_nat)) (= (tptp.aa_Pro6168199777849092593t_real (tptp.aa_fun6819693891783611194t_real (tptp.aTP_Lamm_pz Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_Pro82899191565270131omplex Uu Uub)) (tptp.aa_Pro82899191565270131omplex Uua Uub))))))
% 16.70/16.93 (assume a10751 (forall ((Uu tptp.fun_Pr672294278902479040t_real) (Uua tptp.fun_Pr672294278902479040t_real) (Uub tptp.product_prod_nat_nat)) (= (tptp.aa_Pro6168199777849092593t_real (tptp.aa_fun8712866722335801276t_real (tptp.aTP_Lamm_pv Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_Pro6168199777849092593t_real Uu Uub)) (tptp.aa_Pro6168199777849092593t_real Uua Uub))))))
% 16.70/16.93 (assume a10752 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun1953249243402654830x_real (tptp.aTP_Lamm_py Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex Uu Uub)) (tptp.aa_complex_complex Uua Uub))))))
% 16.70/16.93 (assume a10753 (forall ((Uu tptp.fun_complex_real) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_pu Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real Uu Uub)) (tptp.aa_complex_real Uua Uub))))))
% 16.70/16.93 (assume a10754 (forall ((Uu tptp.fun_real_complex) (Uua tptp.fun_real_complex) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun2786211375485122666l_real (tptp.aTP_Lamm_pw Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_real_complex Uu Uub)) (tptp.aa_real_complex Uua Uub))))))
% 16.70/16.93 (assume a10755 (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_ps Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real Uu Uub)) (tptp.aa_real_real Uua Uub))))))
% 16.70/16.93 (assume a10756 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_qb Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex Uu Uub)) (tptp.aa_nat_complex Uua Uub))))))
% 16.70/16.93 (assume a10757 (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_qa Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real Uua Uub))))))
% 16.70/16.93 (assume a10758 (forall ((Uu tptp.fun_int_complex) (Uua tptp.fun_int_complex) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun1985759105522019690t_real (tptp.aTP_Lamm_px Uu) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_int_complex Uu Uub)) (tptp.aa_int_complex Uua Uub))))))
% 16.70/16.93 (assume a10759 (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_pt Uu) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real Uu Uub)) (tptp.aa_int_real Uua Uub))))))
% 16.70/16.93 (assume a10760 (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_yz Uu) Uua) Uub) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu Uub)) Uua)))))
% 16.70/16.93 (assume a10761 (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_ux Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_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_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uuc)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (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)))) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a10762 (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_uv Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_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_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uuc))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))) tptp.zero_zero_real))))
% 16.70/16.93 (assume a10763 (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_up Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_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_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))) Uuc))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub)))) (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)))) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a10764 (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_un Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_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_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))) Uuc)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))) tptp.zero_zero_real))))
% 16.70/16.93 (assume a10765 (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_ut Uu) Uua) Uub) Uuc) (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))) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (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)))) tptp.zero_zero_complex))))
% 16.70/16.93 (assume a10766 (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_ur 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.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uub)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (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.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))) tptp.zero_zero_real))))
% 16.70/16.93 (assume a10767 (forall ((Uu tptp.nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.fun_na8797796813480665199d_enat) (Uuc tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_ru Uu) Uua) Uub) Uuc) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_Extended_enat Uua Uuc)) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.zero_z5237406670263579293d_enat) (tptp.aa_nat_Extended_enat 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))))))))
% 16.70/16.93 (assume a10768 (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_rv 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))))))))
% 16.70/16.93 (assume a10769 (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_ry 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))))))))
% 16.70/16.93 (assume a10770 (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_rx 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))))))))
% 16.70/16.93 (assume a10771 (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_rw 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))))))))
% 16.70/16.93 (assume a10772 (forall ((Uu tptp.nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.fun_na8797796813480665199d_enat) (Uuc tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_pa Uu) Uua) Uub) Uuc) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_Extended_enat Uua Uuc)) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) tptp.one_on7984719198319812577d_enat) (tptp.aa_nat_Extended_enat 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))))))))
% 16.70/16.93 (assume a10773 (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_pc 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))))))))
% 16.70/16.93 (assume a10774 (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_pe 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))))))))
% 16.70/16.93 (assume a10775 (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_pg 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))))))))
% 16.70/16.93 (assume a10776 (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_pi 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))))))))
% 16.70/16.93 (assume a10777 (forall ((Uu tptp.nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.fun_na8797796813480665199d_enat) (Uuc tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aa_fun2512298231148344956d_enat (tptp.aa_fun1703792696854984886d_enat (tptp.aTP_Lamm_pb Uu) Uua) Uub) Uuc) (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu) (tptp.aa_nat_Extended_enat Uua Uuc)) (tptp.aa_nat_Extended_enat Uub Uuc)))))
% 16.70/16.93 (assume a10778 (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_pd 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)))))
% 16.70/16.93 (assume a10779 (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_pf 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)))))
% 16.70/16.93 (assume a10780 (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_ph 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)))))
% 16.70/16.93 (assume a10781 (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_pj 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)))))
% 16.70/16.93 (assume a10782 (forall ((Uu tptp.fun_nat_complex) (Uua tptp.set_nat) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_set5115289136882354743omplex (tptp.aTP_Lamm_jl Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uua) (tptp.aa_nat_complex Uub Uuc)) (tptp.aa_nat_complex Uu Uuc)))))
% 16.70/16.93 (assume a10783 (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_jn 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)))))
% 16.70/16.93 (assume a10784 (forall ((Uu tptp.complex) (Uua tptp.fun_complex_complex) (Uub tptp.fun_complex_complex) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aa_fun4268748527592579270omplex (tptp.aTP_Lamm_pp Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu) (tptp.aa_complex_complex Uua Uuc)) (tptp.aa_complex_complex Uub Uuc)))))
% 16.70/16.93 (assume a10785 (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_hb 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)))))
% 16.70/16.93 (assume a10786 (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_hc 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)))))
% 16.70/16.93 (assume a10787 (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_hd 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)))))
% 16.70/16.93 (assume a10788 (forall ((Uu tptp.real) (Uua tptp.fun_real_complex) (Uub tptp.fun_real_complex) (Uuc tptp.real)) (= (tptp.aa_real_complex (tptp.aa_fun2233226938935547116omplex (tptp.aa_fun2106233272836097472omplex (tptp.aTP_Lamm_hh Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu) (tptp.aa_real_complex Uua Uuc)) (tptp.aa_real_complex Uub Uuc)))))
% 16.70/16.93 (assume a10789 (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_hi 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)))))
% 16.70/16.93 (assume a10790 (forall ((Uu tptp.real) (Uua tptp.fun_real_nat) (Uub tptp.fun_real_nat) (Uuc tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_hj Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu)) (tptp.aa_real_nat Uua Uuc)) (tptp.aa_real_nat Uub Uuc)))))
% 16.70/16.93 (assume a10791 (forall ((Uu tptp.real) (Uua tptp.fun_real_int) (Uub tptp.fun_real_int) (Uuc tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_hk Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.if_int (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu) (tptp.aa_real_int Uua Uuc)) (tptp.aa_real_int Uub Uuc)))))
% 16.70/16.93 (assume a10792 (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_pq Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_nat_complex Uub Uuc)))))
% 16.70/16.93 (assume a10793 (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_pr 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)))))
% 16.70/16.93 (assume a10794 (forall ((Uu tptp.int) (Uua tptp.fun_int_complex) (Uub tptp.fun_int_complex) (Uuc tptp.int)) (= (tptp.aa_int_complex (tptp.aa_fun3088484340408535532omplex (tptp.aa_fun8701580876069687872omplex (tptp.aTP_Lamm_he Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu) (tptp.aa_int_complex Uua Uuc)) (tptp.aa_int_complex Uub Uuc)))))
% 16.70/16.93 (assume a10795 (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_hf 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)))))
% 16.70/16.93 (assume a10796 (forall ((Uu tptp.int) (Uua tptp.fun_int_nat) (Uub tptp.fun_int_nat) (Uuc tptp.int)) (= (tptp.aa_int_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aa_fun5407591398502139302nt_nat (tptp.aTP_Lamm_hg Uu) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu)) (tptp.aa_int_nat Uua Uuc)) (tptp.aa_int_nat Uub Uuc)))))
% 16.70/16.93 (assume a10797 (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_ip Uu) Uua) Uub) Uuc) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_io 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))))))
% 16.70/16.93 (assume a10798 (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_in Uu) Uua) Uub) Uuc) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_im 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))))))
% 16.70/16.93 (assume a10799 (forall ((Uu tptp.fun_int_int) (Uua tptp.fun_int_int) (Uub tptp.set_int) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_set7310040872927613301nt_int (tptp.aa_fun8076508010538293575nt_int (tptp.aTP_Lamm_ge Uu) Uua) Uub) Uuc) (tptp.groups4538972089207619220nt_int (tptp.aa_int_fun_int_int (tptp.aa_fun5911324870756489105nt_int (tptp.aTP_Lamm_gd Uu) Uua) Uuc) Uub))))
% 16.70/16.93 (assume a10800 (forall ((Uu tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.set_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_set1166323925324055613t_real (tptp.aa_fun1400677770452585267t_real (tptp.aTP_Lamm_gc Uu) Uua) Uub) Uuc) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_gb Uu) Uua) Uuc) Uub))))
% 16.70/16.93 (assume a10801 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.set_complex) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_set7743095458595710203omplex (tptp.aa_fun1583801116089702097omplex (tptp.aTP_Lamm_ga Uu) Uua) Uub) Uuc) (tptp.groups7754918857620584856omplex (tptp.aa_com3342990543769683525omplex (tptp.aa_fun6995112137416684571omplex (tptp.aTP_Lamm_fz Uu) Uua) Uuc) Uub))))
% 16.70/16.93 (assume a10802 (forall ((Uu tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.set_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_set6537093552120046177at_nat (tptp.aa_fun4561837934398617467at_nat (tptp.aTP_Lamm_fy Uu) Uua) Uub) Uuc) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_fx Uu) Uua) Uuc)) Uub))))
% 16.70/16.93 (assume a10803 (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_sf Uu) Uua) Uub) Uuc) (tptp.aa_Cod1783974652533396728nteger (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.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)))))
% 16.70/16.93 (assume a10804 (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_se 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)))))
% 16.70/16.93 (assume a10805 (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_sg 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.aa_real_fun_nat_real tptp.power_power_real Uua) Uuc)))))
% 16.70/16.93 (assume a10806 (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_sd 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)))))
% 16.70/16.93 (assume a10807 (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_ro 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_rn 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)))))
% 16.70/16.93 (assume a10808 (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_ri 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_rh Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uuc)))))
% 16.70/16.93 (assume a10809 (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_rj Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_qz Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 16.70/16.93 (assume a10810 (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_rg Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_qx Uu) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uuc)))))
% 16.70/16.93 (assume a10811 (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_yd 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.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 16.70/16.93 (assume a10812 (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_yb 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.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 16.70/16.93 (assume a10813 (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_xz 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uub) Uua)) Uuc)))))
% 16.70/16.93 (assume a10814 (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_ya 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.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uua) Uub)) Uuc)))))
% 16.70/16.93 (assume a10815 (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_jv 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)))))
% 16.70/16.93 (assume a10816 (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_jz 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.aa_real_fun_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.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uub)))))
% 16.70/16.93 (assume a10817 (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_jx 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)))))
% 16.70/16.93 (assume a10818 (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_xe 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))))))
% 16.70/16.93 (assume a10819 (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_im 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))))))
% 16.70/16.93 (assume a10820 (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_io Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uua) Uu)) Uuc)) (tptp.aa_nat_real (tptp.aa_real_fun_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))))))
% 16.70/16.93 (assume a10821 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_nat2010205248571845816nteger (tptp.aa_Cod3140087502949435154nteger (tptp.aTP_Lamm_ub Uu) Uua) Uub) Uuc) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Uu) Uuc))) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.70/16.93 (assume a10822 (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_ua 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.comm_s2602460028002588243omplex Uu) Uuc))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.70/16.93 (assume a10823 (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_uc 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.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.70/16.93 (assume a10824 (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_tz 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))))))
% 16.70/16.93 (assume a10825 (forall ((Uu tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_nat2010205248571845816nteger (tptp.aa_Cod3140087502949435154nteger (tptp.aTP_Lamm_tx Uu) Uua) Uub) Uuc) (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger (tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Uu) Uuc))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.70/16.93 (assume a10826 (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_tw 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))))))
% 16.70/16.93 (assume a10827 (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_ty 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.70/16.93 (assume a10828 (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_tu 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))))))
% 16.70/16.93 (assume a10829 (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_tv 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))))))
% 16.70/16.93 (assume a10830 (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_vs Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu) Uuc))) (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) 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)))))))
% 16.70/16.93 (assume a10831 (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_vr 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.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.70/16.93 (assume a10832 (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_ke 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)))))
% 16.70/16.93 (assume a10833 (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_kg Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real 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.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc)))))
% 16.70/16.93 (assume a10834 (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_kf 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)))))
% 16.70/16.93 (assume a10835 (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_jw 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)))))))
% 16.70/16.93 (assume a10836 (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_ka Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.70/16.93 (assume a10837 (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_jy 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)))))))
% 16.70/16.93 (assume a10838 (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_kb 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))))))
% 16.70/16.93 (assume a10839 (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_kd Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu) Uuc)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 16.70/16.93 (assume a10840 (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_kc 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))))))
% 16.70/16.93 (assume a10841 (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_tq 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))))))
% 16.70/16.93 (assume a10842 (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_xj 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))))))
% 16.70/16.93 (assume a10843 (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_xh 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))))))
% 16.70/16.94 (assume a10844 (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_xl 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)))))
% 16.70/16.94 (assume a10845 (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_xn 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)))))
% 16.70/16.94 (assume a10846 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.fun_co6496365337113880337d_enat) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun188178923259853101x_bool (tptp.aa_fun2531438059775479945x_bool (tptp.aTP_Lamm_cd Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_com3683005661447327866d_enat Uua Uuc)) (tptp.aa_com3683005661447327866d_enat Uub Uuc)) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.94 (assume a10847 (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_cl 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))))))
% 16.70/16.94 (assume a10848 (forall ((Uu tptp.set_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.fun_re6065469302365115155d_enat) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6946925781749317805l_bool (tptp.aa_fun7045632274848354187l_bool (tptp.aTP_Lamm_bz Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_rea1194391308913012860d_enat Uua Uuc)) (tptp.aa_rea1194391308913012860d_enat Uub Uuc)) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.94 (assume a10849 (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_ch 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))))))
% 16.70/16.94 (assume a10850 (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_cp 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))))))
% 16.70/16.94 (assume a10851 (forall ((Uu tptp.set_nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.fun_na8797796813480665199d_enat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun768124332470527661t_bool (tptp.aa_fun4377515372666875239t_bool (tptp.aTP_Lamm_cb Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_nat_Extended_enat Uua Uuc)) (tptp.aa_nat_Extended_enat Uub Uuc)) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.94 (assume a10852 (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_cj 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))))))
% 16.70/16.94 (assume a10853 (forall ((Uu tptp.set_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.fun_in5914218760682845459d_enat) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun4487572259248890797t_bool (tptp.aa_fun835910427463898891t_bool (tptp.aTP_Lamm_bx Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.times_7803423173614009249d_enat (tptp.aa_int_Extended_enat Uua Uuc)) (tptp.aa_int_Extended_enat Uub Uuc)) tptp.one_on7984719198319812577d_enat))))))
% 16.70/16.94 (assume a10854 (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_cf 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))))))
% 16.70/16.94 (assume a10855 (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_cn 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))))))
% 16.70/16.94 (assume a10856 (forall ((Uu tptp.set_complex) (Uua tptp.fun_co6496365337113880337d_enat) (Uub tptp.fun_co6496365337113880337d_enat) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun188178923259853101x_bool (tptp.aa_fun2531438059775479945x_bool (tptp.aTP_Lamm_cx Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_com3683005661447327866d_enat Uua Uuc)) (tptp.aa_com3683005661447327866d_enat Uub Uuc)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.94 (assume a10857 (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_df 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))))))
% 16.70/16.94 (assume a10858 (forall ((Uu tptp.set_real) (Uua tptp.fun_re6065469302365115155d_enat) (Uub tptp.fun_re6065469302365115155d_enat) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6946925781749317805l_bool (tptp.aa_fun7045632274848354187l_bool (tptp.aTP_Lamm_ct Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_rea1194391308913012860d_enat Uua Uuc)) (tptp.aa_rea1194391308913012860d_enat Uub Uuc)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.94 (assume a10859 (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_db 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))))))
% 16.70/16.94 (assume a10860 (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_dj 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))))))
% 16.70/16.94 (assume a10861 (forall ((Uu tptp.set_nat) (Uua tptp.fun_na8797796813480665199d_enat) (Uub tptp.fun_na8797796813480665199d_enat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun768124332470527661t_bool (tptp.aa_fun4377515372666875239t_bool (tptp.aTP_Lamm_cv Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_nat_Extended_enat Uua Uuc)) (tptp.aa_nat_Extended_enat Uub Uuc)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.94 (assume a10862 (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_dd 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))))))
% 16.70/16.94 (assume a10863 (forall ((Uu tptp.set_int) (Uua tptp.fun_in5914218760682845459d_enat) (Uub tptp.fun_in5914218760682845459d_enat) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun4487572259248890797t_bool (tptp.aa_fun835910427463898891t_bool (tptp.aTP_Lamm_cr Uu) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu)) (not (= (tptp.aa_Ext7969882492699152700d_enat (tptp.plus_p3455044024723400733d_enat (tptp.aa_int_Extended_enat Uua Uuc)) (tptp.aa_int_Extended_enat Uub Uuc)) tptp.zero_z5237406670263579293d_enat))))))
% 16.70/16.94 (assume a10864 (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_cz 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))))))
% 16.70/16.94 (assume a10865 (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_dh 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))))))
% 16.70/16.94 (assume a10866 (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_fl 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)))))
% 16.70/16.94 (assume a10867 (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_fm 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.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 16.70/16.94 (assume a10868 (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_sr 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))))))
% 16.70/16.94 (assume a10869 (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_sv 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.aa_real_fun_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))))))
% 16.70/16.94 (assume a10870 (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_st 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))))))
% 16.70/16.94 (assume a10871 (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_qx 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))))))
% 16.70/16.94 (assume a10872 (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_qz 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))))))
% 16.70/16.94 (assume a10873 (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_rn 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))))))
% 16.70/16.94 (assume a10874 (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_rh 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))))))
% 16.70/16.94 (assume a10875 (forall ((Uu tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_com3342990543769683525omplex (tptp.aa_fun6995112137416684571omplex (tptp.aTP_Lamm_fz Uu) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex Uu Uub)) (tptp.aa_complex_complex Uua Uuc)))))
% 16.70/16.94 (assume a10876 (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_gb Uu) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu Uub)) (tptp.aa_nat_real Uua Uuc)))))
% 16.70/16.94 (assume a10877 (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_fx Uu) Uua) Uub) Uuc) (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 Uuc)))))
% 16.70/16.94 (assume a10878 (forall ((Uu tptp.fun_int_int) (Uua tptp.fun_int_int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.aa_fun5911324870756489105nt_int (tptp.aTP_Lamm_gd Uu) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int Uu Uub)) (tptp.aa_int_int Uua Uuc)))))
% 16.70/16.94 (assume a10879 (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_gw 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)))))
% 16.70/16.94 (assume a10880 (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_gv 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)))))
% 16.70/16.94 (assume a10881 (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_oz 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)))))
% 16.70/16.94 (assume a10882 (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_sq Uu) Uua) Uub) Uuc) Uud) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aa_rea6454571821648764761t_real (tptp.aTP_Lamm_sp 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))))))
% 16.70/16.94 (assume a10883 (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_so 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_sn 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))))))
% 16.70/16.94 (assume a10884 (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_sm Uu) Uua) Uub) Uuc) Uud) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aa_com7713930848417683039omplex (tptp.aTP_Lamm_sl 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))))))
% 16.70/16.94 (assume a10885 (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_yc 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.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_yb 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.aa_real_fun_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)))))))))
% 16.70/16.94 (assume a10886 (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_sw Uu) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_sv Uua) Uuc) Uud) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud)) Uu))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) Uud)))))
% 16.70/16.94 (assume a10887 (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_su 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_st Uua) Uuc) Uud) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud)) Uu))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uud)))))
% 16.70/16.94 (assume a10888 (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_ss Uu) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_sr Uua) Uuc) Uud) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uud)) Uu))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud)))))
% 16.70/16.94 (assume a10889 (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_sj 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))))))
% 16.70/16.94 (assume a10890 (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_sk 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.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uud)) Uua)) tptp.one_one_real)) Uud)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 16.70/16.94 (assume a10891 (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_rz 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))))))
% 16.70/16.94 (assume a10892 (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_sb 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.aa_real_fun_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.aa_real_fun_nat_real tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 16.70/16.94 (assume a10893 (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_sa 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))))))
% 16.70/16.94 (assume a10894 (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_sc 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.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real Uua)) Uud)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real Uub)) Uud))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu) Uud))))))
% 16.70/16.94 (assume a10895 (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_sl 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)))))
% 16.70/16.94 (assume a10896 (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_sp 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.aa_real_fun_nat_real tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uuc)))))
% 16.70/16.94 (assume a10897 (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_sn 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)))))
% 16.70/16.94 (assume a10898 (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_zz 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))))))))))))
% 16.70/16.94 (assume a10899 (forall ((Uu tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.aTP_Lamm_aj Uu) Uu)))
% 16.70/16.94 (assume a10900 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_ak Uu) Uu)))
% 16.70/16.94 (assume a10901 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_al Uu) Uu)))
% 16.70/16.94 (assume a10902 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_am Uu) Uu)))
% 16.70/16.94 (assume a10903 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_an Uu) Uu)))
% 16.70/16.94 (assume a10904 (forall ((Uu tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.aTP_Lamm_aq Uu) tptp.zero_z5237406670263579293d_enat)))
% 16.70/16.94 (assume a10905 (forall ((Uu tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_ar Uu) tptp.zero_zero_complex)))
% 16.70/16.94 (assume a10906 (forall ((Uu tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_as Uu) tptp.zero_zero_real)))
% 16.70/16.94 (assume a10907 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_at Uu) tptp.zero_zero_nat)))
% 16.70/16.94 (assume a10908 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_au Uu) tptp.zero_zero_int)))
% 16.70/16.94 (assume a10909 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_mc Uu) tptp.one_one_nat)))
% 16.70/16.94 (assume a10910 (forall ((Uu tptp.nat)) (= (tptp.aa_nat_int tptp.aTP_Lamm_md Uu) tptp.one_one_int)))
% 16.70/16.94 (assume a10911 (forall ((Uu tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_me Uu) tptp.one_one_int)))
% 16.70/16.94 (assume a10912 (forall ((Uu tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_wd Uu)) false)))
% 16.70/16.94 (assume a10913 (forall ((Uu tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_wz Uu)) false)))
% 16.70/16.94 (assume a10914 (forall ((Uu tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_xa Uu)) true)))
% 16.70/16.94 (assume a10915 (forall ((P tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool tptp.fNot P)))))
% 16.70/16.94 (assume a10916 (forall ((P tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool tptp.fNot P))) (not (tptp.pp P)))))
% 16.70/16.94 (assume a10917 (tptp.pp tptp.fTrue))
% 16.70/16.94 (assume a10918 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp Q))))
% 16.70/16.94 (assume a10919 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp P))))
% 16.70/16.94 (assume a10920 (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)))))
% 16.70/16.94 (assume a10921 (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))))
% 16.70/16.94 (assume a10922 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 16.70/16.94 (assume a10923 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 16.70/16.94 (assume a10924 (not (tptp.pp tptp.fFalse)))
% 16.70/16.94 (assume a10925 (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))))
% 16.70/16.94 (assume a10926 (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)))))
% 16.70/16.94 (assume a10927 (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)))))
% 16.70/16.94 (assume a10928 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fFalse X) Y) Y)))
% 16.70/16.94 (assume a10929 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fTrue X) Y) X)))
% 16.70/16.94 (assume a10930 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fFalse) X) Y) Y)))
% 16.70/16.94 (assume a10931 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fTrue) X) Y) X)))
% 16.70/16.94 (assume a10932 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num tptp.fFalse) X) Y) Y)))
% 16.70/16.94 (assume a10933 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num tptp.fTrue) X) Y) X)))
% 16.70/16.94 (assume a10934 (forall ((P tptp.fun_nat_bool) (X tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool P X))) (tptp.pp (tptp.aa_fun_nat_bool_bool tptp.fEx_nat P)))))
% 16.70/16.94 (assume a10935 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fFalse) X) Y) Y)))
% 16.70/16.94 (assume a10936 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fTrue) X) Y) X)))
% 16.70/16.94 (assume a10937 (forall ((X tptp.int) (Y tptp.int)) (or (not (= X Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X) Y)))))
% 16.70/16.94 (assume a10938 (forall ((X tptp.int) (Y tptp.int)) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X) Y))) (= X Y))))
% 16.70/16.94 (assume a10939 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (= X Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Y)))))
% 16.70/16.94 (assume a10940 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Y))) (= X Y))))
% 16.70/16.94 (assume a10941 (forall ((X tptp.bool) (Y tptp.bool)) (or (not (= X Y)) (tptp.pp (tptp.aa_bool_bool (tptp.fequal_bool X) Y)))))
% 16.70/16.94 (assume a10942 (forall ((X tptp.bool) (Y tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fequal_bool X) Y))) (= X Y))))
% 16.70/16.94 (assume a10943 (forall ((X tptp.real) (Y tptp.real)) (or (not (= X Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X) Y)))))
% 16.70/16.94 (assume a10944 (forall ((X tptp.real) (Y tptp.real)) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X) Y))) (= X Y))))
% 16.70/16.94 (assume a10945 (forall ((P tptp.fun_real_bool)) (= (tptp.aa_real_bool P (tptp.fChoice_real P)) (tptp.aa_fun3352386287069783311l_bool tptp.fEx_real P))))
% 16.70/16.94 (assume a10946 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fFalse X) Y) Y)))
% 16.70/16.94 (assume a10947 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fTrue X) Y) X)))
% 16.70/16.94 (assume a10948 (forall ((X tptp.complex) (Y tptp.complex)) (or (not (= X Y)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X) Y)))))
% 16.70/16.94 (assume a10949 (forall ((X tptp.complex) (Y tptp.complex)) (or (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X) Y))) (= X Y))))
% 16.70/16.94 (assume a10950 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat tptp.fFalse X) Y) Y)))
% 16.70/16.94 (assume a10951 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.if_Extended_enat tptp.fTrue X) Y) X)))
% 16.70/16.94 (assume a10952 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10953 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10954 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10955 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10956 (forall ((P tptp.fun_VEBT_VEBT_bool) (X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.fAll_VEBT_VEBT P))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X)))))
% 16.70/16.94 (assume a10957 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (or (not (= X Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.fequal_Code_integer X) Y)))))
% 16.70/16.94 (assume a10958 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (or (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.fequal_Code_integer X) Y))) (= X Y))))
% 16.70/16.94 (assume a10959 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10960 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10961 (forall ((X tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10962 (forall ((X tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10963 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (or (not (= X Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat X) Y)))))
% 16.70/16.94 (assume a10964 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (or (not (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat X) Y))) (= X Y))))
% 16.70/16.94 (assume a10965 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int tptp.fFalse X) Y) Y)))
% 16.70/16.94 (assume a10966 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int tptp.fTrue X) Y) X)))
% 16.70/16.94 (assume a10967 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.if_Pro6206227464963214023at_nat tptp.fFalse) X) Y) Y)))
% 16.70/16.94 (assume a10968 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.if_Pro6206227464963214023at_nat tptp.fTrue) X) Y) X)))
% 16.70/16.94 (assume a10969 (forall ((X tptp.fun_nat_fun_int_int) (Y tptp.fun_nat_fun_int_int)) (= (tptp.if_fun5757141600869472092nt_int tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10970 (forall ((X tptp.fun_nat_fun_int_int) (Y tptp.fun_nat_fun_int_int)) (= (tptp.if_fun5757141600869472092nt_int tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10971 (forall ((X tptp.fun_nat_fun_nat_nat) (Y tptp.fun_nat_fun_nat_nat)) (= (tptp.if_fun6060303171108177060at_nat tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10972 (forall ((X tptp.fun_nat_fun_nat_nat) (Y tptp.fun_nat_fun_nat_nat)) (= (tptp.if_fun6060303171108177060at_nat tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10973 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_VEBT_VEBT_bool) (R2 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_3745307990312268622T_VEBT P Q) R2) (tptp.aa_bool_bool P (tptp.aa_VEBT_VEBT_bool Q R2)))))
% 16.70/16.94 (assume a10974 (forall ((P tptp.fun_VE2066785035971159626l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R2 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBS_6222329278419335549l_bool P Q) R2) (tptp.aa_bool_bool (tptp.aa_VEB8047906998784800507l_bool P R2) (tptp.aa_VEBT_VEBT_bool Q R2)))))
% 16.70/16.94 (assume a10975 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 16.70/16.94 (assume a10976 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fFalse X Y) Y)))
% 16.70/16.94 (assume a10977 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fTrue X Y) X)))
% 16.70/16.94 (assume a10978 (forall ((P tptp.fun_fu7168253649841883962l_bool) (Q tptp.fun_VE3763956218935105199t_bool) (R2 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_2885587777813823575T_VEBT P Q) R2) (tptp.aa_fun_nat_bool_bool P (tptp.aa_VEB4832260192069861672t_bool Q R2)))))
% 16.70/16.94 (assume a10979 (forall ((P tptp.fun_bo1841576699660343469l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R2 tptp.vEBT_VEBT)) (= (tptp.aa_VEB8047906998784800507l_bool (tptp.cOMBB_3438363824644082366T_VEBT P Q) R2) (tptp.aa_boo8970175072276269406l_bool P (tptp.aa_VEBT_VEBT_bool Q R2)))))
% 16.70/16.94 (assume a10980 (forall ((P tptp.fun_VE7346385682144900493T_bool) (Q tptp.set_VEBT_VEBT) (R2 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBC_771164880915498576T_bool P Q) R2) (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool P R2) Q))))
% 16.70/16.94 (assume a10981 (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.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) 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)))))
% 16.70/16.96 (assume a10982 true)
% 16.70/16.96 (step t1 (cl (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_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.fequal_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.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.ma)) (tptp.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.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) 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.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.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT tptp.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.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)) (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 tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.summin) (tptp.aa_nat_nat (tptp.aa_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.lx)) tptp.na)))))) 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)))) :rule and :premises (a21))
% 16.70/16.96 (step t2 (cl) :rule resolution :premises (a10981 t1))
% 16.70/16.96
% 16.70/16.96 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.uA7P1UbwVC/cvc5---1.0.5_19741.smt2
% 16.70/16.96 % cvc5---1.0.5 exiting
% 16.81/16.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------